diff --git a/compact_sets_extended_simplified.ipynb b/compact_sets_extended_simplified.ipynb
index 26791b0..40c05ad 100644
--- a/compact_sets_extended_simplified.ipynb
+++ b/compact_sets_extended_simplified.ipynb
@@ -2,52 +2,7 @@
  "cells": [
   {
    "cell_type": "code",
-   "execution_count": 93,
-   "id": "1b7b9f62-156d-4ac5-876d-0305a25d99e4",
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "389"
-      ]
-     },
-     "execution_count": 93,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "from itertools import chain, combinations, permutations, product\n",
-    "from math import prod, log\n",
-    "from copy import deepcopy\n",
-    "\n",
-    "# this is modified for different chord sizes like original version\n",
-    "def grow_chords(chord, root, min_chord_size, max_chord_size):\n",
-    "    #this could use the tranpose_pitch function\n",
-    "    branches = [branch for alt in [-1, 1] for d in range(1, len(root)) if (branch:=(*(r:=root)[:d], r[d] + alt, *r[(d + 1):])) not in chord]\n",
-    "    subsets = chain.from_iterable(combinations(branches, r) for r in range(1, max_chord_size - len(chord) + 1))\n",
-    "    for subset in subsets:\n",
-    "        extended_chord = chord + subset\n",
-    "        if(len(extended_chord) < max_chord_size):\n",
-    "            for branch in subset:\n",
-    "                yield from grow_chords(extended_chord, branch, min_chord_size, max_chord_size)\n",
-    "        if(len(extended_chord) >= min_chord_size):\n",
-    "            yield tuple(sorted(extended_chord))\n",
-    "\n",
-    "def chords(chord, root, min_chord_size, max_chord_size):\n",
-    "    # this will filter out the 4x dups of paths that are loops, there might be a faster way to test this\n",
-    "    return set(grow_chords(chord, root, min_chord_size, max_chord_size))\n",
-    "\n",
-    "root = (0, 0, 0, 0)\n",
-    "chord = (root,)\n",
-    "chords = chords(chord, root, 3, 4)\n",
-    "len(chords)"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 133,
+   "execution_count": 117,
    "id": "806f6f69-1e0b-4d34-aac9-695c8531cdb1",
    "metadata": {},
    "outputs": [],
@@ -56,6 +11,9 @@
     "from math import prod, log\n",
     "from copy import deepcopy\n",
     "import networkx as nx\n",
+    "from fractions import Fraction\n",
+    "import json\n",
+    "from operator import add\n",
     "\n",
     "def hs_array_to_fr(hs_array):\n",
     "    return prod([pow(dims[d], hs_array[d]) for d in range(len(dims))])\n",
@@ -88,7 +46,7 @@
     "    return tuple(collapse_pitch(p) for p in chord)\n",
     "\n",
     "def transpose_pitch(pitch, trans):\n",
-    "    return tuple(map(lambda x,y:x+y, pitch, trans))\n",
+    "    return tuple(map(add, pitch, trans))\n",
     "\n",
     "def transpose_chord(chord, trans):\n",
     "    return tuple(transpose_pitch(p, trans) for p in chord)\n",
@@ -110,7 +68,7 @@
     "            for branch in subset:\n",
     "                yield from grow_chords(extended_chord, branch, min_chord_size, max_chord_size)\n",
     "        if(len(extended_chord) >= min_chord_size):\n",
-    "            yield tuple(sorted(extended_chord))\n",
+    "            yield tuple(sorted(extended_chord, key=hs_array_to_fr))\n",
     "\n",
     "def chords(chord, root, min_chord_size, max_chord_size):\n",
     "    # this will filter out the 4x dups of paths that are loops, there might be a faster way to test this\n",
@@ -142,9 +100,9 @@
     "            expanded_comp_transposed = set(transpose_chord(expanded_comp, trans))\n",
     "            intersection = expanded_base & expanded_comp_transposed\n",
     "            [diff1, diff2] = [list(chord - intersection) for chord in [expanded_base, expanded_comp_transposed]]\n",
-    "            base_map = {val: {'destination':transpose_pitch(val, rev_trans), 'cent_difference': 0} for val in intersection}\n",
     "            symdiff_len = (len(diff1) + len(diff2))\n",
     "            if (min_symdiff <= symdiff_len <= max_symdiff):\n",
+    "                base_map = {val: {'destination':transpose_pitch(val, rev_trans), 'cent_difference': 0} for val in intersection}\n",
     "                edge_dict = {\n",
     "                    'transposition': trans, \n",
     "                    'symmetric_difference': symdiff_len, \n",
@@ -184,43 +142,9284 @@
     "    plt.figure(1, figsize=(12,12)) \n",
     "    nx.draw(show_graph, pos, node_size=5, width=0.1)\n",
     "    plt.show()\n",
-    "    #plt.savefig('compact_sets.png', dpi=150)"
+    "    #plt.savefig('compact_sets.png', dpi=150)\n",
+    "\n",
+    "def reconcile_path(path):\n",
+    "    reconciled_path = [[tuple(0 for d in dims), sorted([p for p in list(path[0][2]['movements'].keys())], key=hs_array_to_fr)]]    \n",
+    "    #print(reconciled_path)\n",
+    "    for cdx in range(len(path)-1):\n",
+    "        movements = path[cdx][2]['movements']\n",
+    "        next_chord = [movements[p]['destination'] for p in reconciled_path[-1][1]]\n",
+    "        trans = path[cdx][2]['transposition']\n",
+    "        reconciled_path.append([trans, next_chord])\n",
+    "    return reconciled_path\n",
+    "\n",
+    "def path_to_chords(path):\n",
+    "    current_root = Fraction(1, 1)\n",
+    "    chords = []\n",
+    "    for trans, points in path:\n",
+    "        #print(trans)\n",
+    "        current_root = current_root * hs_array_to_fr(trans)\n",
+    "        chord = [float(current_root * hs_array_to_fr(p)) if p is not None else None for p in points]\n",
+    "        chords.append(chord)\n",
+    "    return chords\n",
+    "\n",
+    "def write_chord_sequence(path):\n",
+    "    file = open(\"seq.txt\", \"w+\")\n",
+    "    content = json.dumps(path)\n",
+    "    content = content.replace(\", \\\"\", \",\\n\\t\\\"\")\n",
+    "    file.write(content)\n",
+    "    file.close()"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 145,
-   "id": "3b220e4f-af29-4226-b60d-30078da05663",
+   "execution_count": 118,
+   "id": "4e3ef738-7f64-47c3-9129-0450fd031375",
    "metadata": {},
    "outputs": [],
    "source": [
     "dims = (2, 3, 5, 7)\n",
     "root = (0, 0, 0, 0)\n",
     "chord = (root,)\n",
-    "chord_set = chords(chord, root, 4, 4)\n",
-    "#edges(chord_set, 2, 2, 3)\n",
-    "graph = generate_graph(chord_set, 2, 2, 4)"
+    "#%timeit chords(chord, root, 4, 4)\n",
+    "#print(len(chord_set))\n",
+    "chord_set = chords(chord, root, 3, 3)\n",
+    "#edge_set = edges(chord_set, 2, 2, 3)\n",
+    "#edge_set\n",
+    "#%timeit edges(chord_set, 2, 2, 4)\n",
+    "#print(len(edge_set))\n",
+    "graph = generate_graph(chord_set, 2, 2, 3)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 144,
+   "execution_count": 124,
+   "id": "aea5215c-8551-4685-b761-11c2dc74cf22",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "125"
+      ]
+     },
+     "execution_count": 124,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "from random import choice, choices\n",
+    "\n",
+    "def stochastic_hamiltonian(graph):\n",
+    "        \n",
+    "    def movement_size_weights(edges):\n",
+    "        \n",
+    "        def max_cent_diff(edge):\n",
+    "            res = max([abs(v) for val in edge[2]['movements'].values() if (v:=val['cent_difference']) is not None])\n",
+    "            return res\n",
+    "            \n",
+    "        def min_cent_diff(edge):\n",
+    "            res = [abs(v) for val in edge[2]['movements'].values() if (v:=val['cent_difference']) is not None]\n",
+    "            res.remove(0)\n",
+    "            return min(res)\n",
+    "            \n",
+    "        return [(1000 if ((max_cent_diff(e) < 200) and (min_cent_diff(e)) > 50) else 1) for e in edges]\n",
+    "\n",
+    "    \n",
+    "    def hamiltonian_weights(edges):\n",
+    "        return [(10 if e[1] not in [path_edge[0] for path_edge in path] else 1) for e in edges] \n",
+    "\n",
+    "    \n",
+    "    def contrary_motion_weights(edges):\n",
+    "\n",
+    "        def is_contrary(edge):\n",
+    "            cent_diffs = [v for val in edge[2]['movements'].values() if (v:=val['cent_difference']) is not None]\n",
+    "            cent_diffs.sort()\n",
+    "            return (cent_diffs[0] < 0) and (cent_diffs[1] == 0) and (cent_diffs[2] > 0)\n",
+    "            \n",
+    "        return [(2 if is_contrary(e) else 1) for e in edges]\n",
+    "\n",
+    "    \n",
+    "    def is_directly_tunable_weights(edges):\n",
+    "        return [(10 if e[2]['is_directly_tunable'] else 1) for e in edges]\n",
+    "\n",
+    "    \n",
+    "    def voice_crossing_weights(edges):\n",
+    "        \n",
+    "        def has_voice_crossing(edge):\n",
+    "            source = list(edge[0])\n",
+    "            ordered_source = sorted(source, key=hs_array_to_fr)    \n",
+    "            source_order = [ordered_source.index(p) for p in source]\n",
+    "            destination = [transpose_pitch(edge[2]['movements'][p]['destination'], edge[2]['transposition']) for p in source]\n",
+    "            ordered_destination = sorted(destination, key=hs_array_to_fr)\n",
+    "            destination_order = [ordered_destination.index(p) for p in destination]\n",
+    "            #print(source_order != destination_order)\n",
+    "            return source_order != destination_order\n",
+    "            \n",
+    "        return [(10 if not has_voice_crossing(e) else 0) for e in edges]\n",
+    "        \n",
+    "    \n",
+    "    check_graph = graph.copy()\n",
+    "    #next_node = choice(list(graph.nodes()))\n",
+    "    next_node = list(graph.nodes())[0]\n",
+    "    check_graph.remove_node(next_node)\n",
+    "    path = []\n",
+    "    while (nx.number_of_nodes(check_graph) > 0) and (len(path) < 5000):\n",
+    "        out_edges = list(graph.out_edges(next_node, data=True))\n",
+    "        #print([l for l in zip(movement_size_weights(out_edges), hamiltonian_weights(out_edges))])\n",
+    "        factors = [\n",
+    "            movement_size_weights(out_edges), \n",
+    "            hamiltonian_weights(out_edges), \n",
+    "            contrary_motion_weights(out_edges), \n",
+    "            is_directly_tunable_weights(out_edges),\n",
+    "            voice_crossing_weights(out_edges)\n",
+    "        ]\n",
+    "        weights = [prod(a) for a in zip(*factors)]\n",
+    "        #weights = [reduce(mul, x) for x in [movement_size_weights(out_edges), hamiltonian_weights(out_edges)]]\n",
+    "        #print(weights)\n",
+    "        edge = choices(out_edges, weights=weights)[0]\n",
+    "        #edge = random.choice(out_edges)\n",
+    "        next_node = edge[1]\n",
+    "        path.append(edge)\n",
+    "        if next_node in check_graph.nodes:\n",
+    "            check_graph.remove_node(next_node)\n",
+    "    return path\n",
+    "    \n",
+    "stochastic_ham = stochastic_hamiltonian(graph)\n",
+    "path = reconcile_path(stochastic_ham)\n",
+    "write_chord_sequence(path_to_chords(path))\n",
+    "len(path)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 122,
    "id": "472e3033-cf7f-43da-9396-df6c6ee426b8",
    "metadata": {},
+   "outputs": [],
+   "source": [
+    "def reverse_movements(movements):\n",
+    "    return {value['destination']:{'destination':key, 'cent_difference':value['cent_difference']} for key, value in movements.items()}\n",
+    "\n",
+    "def is_directly_tunable(intersection, diff):\n",
+    "    return max([len(collapse_pitch(pitch_difference(d, set(list(intersection)[0])))) for d in diff]) == 1\n",
+    "\n",
+    "def edge_data(chords, min_symdiff, max_symdiff, max_chord_size):\n",
+    "    [expanded_base, expanded_comp] = [expand_chord(chord) for chord in chords]\n",
+    "    edges = []\n",
+    "    transpositions = set(pitch_difference(pair[0], pair[1]) for pair in set(product(expanded_base, expanded_comp)))\n",
+    "    for trans in transpositions:\n",
+    "        expanded_comp_transposed = transpose_chord(expanded_comp, trans)\n",
+    "        intersection = set(expanded_base) & set(expanded_comp_transposed)\n",
+    "        symdiff_len = sum([len(chord) - len(intersection) for chord in [expanded_base, expanded_comp_transposed]])\n",
+    "        if (min_symdiff <= symdiff_len <= max_symdiff):\n",
+    "            rev_trans = tuple(t * -1 for t in trans)\n",
+    "            [diff1, diff2] = [list(set(chord) - intersection) for chord in [expanded_base, expanded_comp_transposed]]\n",
+    "            base_map = {val: {'destination':transpose_pitch(val, rev_trans), 'cent_difference': 0} for val in intersection}\n",
+    "            base_map_rev = reverse_movements(base_map)\n",
+    "            tunability = is_directly_tunable(intersection, diff2)\n",
+    "            maps = []\n",
+    "            diff1 += [None] * (max_chord_size - len(diff1) - len(intersection))\n",
+    "            perms = [list(perm) + [None] * (max_chord_size - len(perm) - len(intersection)) for perm in set(permutations(diff2))]\n",
+    "            for p in perms:\n",
+    "                appended_map = {\n",
+    "                    diff1[index]:\n",
+    "                    {\n",
+    "                        'destination': transpose_pitch(val, rev_trans) if val != None else None, \n",
+    "                        'cent_difference': cent_difference(diff1[index], val) if None not in [diff1[index], val] else None\n",
+    "                    } for index, val in enumerate(p)}\n",
+    "                edges.append((tuple(expanded_base), tuple(expanded_comp), {\n",
+    "                    'transposition': trans,\n",
+    "                    'symmetric_difference': symdiff_len, \n",
+    "                    'is_directly_tunable': tunability,\n",
+    "                    'movements': base_map | appended_map\n",
+    "                }))\n",
+    "                edges.append((tuple(expanded_comp), tuple(expanded_base), {\n",
+    "                    'transposition': rev_trans,\n",
+    "                    'symmetric_difference': symdiff_len, \n",
+    "                    'is_directly_tunable': tunability,\n",
+    "                    'movements': base_map_rev | reverse_movements(appended_map)\n",
+    "                }))\n",
+    "    return edges if edges != [] else None\n",
+    "        \n",
+    "def edges(chords, min_symdiff, max_symdiff, max_chord_size):            \n",
+    "    return list(chain(*[e for c in combinations(chords, 2) if (e := edge_data(c, min_symdiff, max_symdiff, max_chord_size)) is not None]))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 11,
+   "id": "7f2d356f-6377-46cf-bbb1-32111be90f4f",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "The line_profiler extension is already loaded. To reload it, use:\n",
+      "  %reload_ext line_profiler\n"
+     ]
+    }
+   ],
+   "source": [
+    "%load_ext line_profiler"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 127,
+   "id": "7f141bf5-fdcb-4c01-a10b-3e86d3d1a7b4",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "chord_set = chords(chord, root, 5, 5)\n",
+    "#edges(chord_set, 2, 2, 3)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "88850b8c-a743-44d0-b863-7cd9066690d9",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "lprun -f edge_data edges(chord_set, 2, 2, 5)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 121,
+   "id": "a801362e-2b10-4c91-841b-9feae4b1be5c",
+   "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "344"
+       "[(((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
+       "  {'transposition': (1, 1, 0, -1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(3, 0, 0, -1): {'destination': (2, -1, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (1, 0, 1, -1): {'destination': (0, -1, 1, 0), 'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': -266.87090560373764}}}),\n",
+       " (((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
+       "  ((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
+       "  {'transposition': (-1, -1, 0, 1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(2, -1, 0, 0): {'destination': (3, 0, 0, -1),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, -1, 1, 0): {'destination': (1, 0, 1, -1), 'cent_difference': 0}}}),\n",
+       " (((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
+       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
+       "  {'transposition': (4, -1, 0, -1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(3, 0, 0, -1): {'destination': (-1, 1, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (-4, 1, 0, 1), 'cent_difference': 0},\n",
+       "    (1, 0, 1, -1): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': -1088.2687147302222}}}),\n",
+       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
+       "  ((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
+       "  {'transposition': (-4, 1, 0, 1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(-1, 1, 0, 0): {'destination': (3, 0, 0, -1),\n",
+       "     'cent_difference': 0},\n",
+       "    (-4, 1, 0, 1): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
+       " (((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
+       "  ((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
+       "    (1, 0, 1, -1): {'destination': (6, 0, 0, -2),\n",
+       "     'cent_difference': -155.13962033395967}}}),\n",
+       " (((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
+       "  ((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
+       " (((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
+       "  ((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
+       "  {'transposition': (-3, 0, 0, 1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(3, 0, 0, -1): {'destination': (6, 0, 0, -2),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (3, 0, 0, -1), 'cent_difference': 0},\n",
+       "    (1, 0, 1, -1): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': -848.6619009265847}}}),\n",
+       " (((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
+       "  ((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
+       "  {'transposition': (3, 0, 0, -1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
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+       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
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+       "     'cent_difference': 0},\n",
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+       "  ((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
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+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1)),\n",
+       "  {'transposition': (3, 0, 0, -1),\n",
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+       "  ((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
+       "  {'transposition': (-3, 0, 0, 1),\n",
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+       "    (-2, 0, 1, 0): {'destination': (1, 0, 1, -1), 'cent_difference': 0}}}),\n",
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+       "  ((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
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+       "  ((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
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+       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
+       "  {'transposition': (3, 0, 0, -1),\n",
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+       "    (1, 0, 1, -1): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
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+       "  ((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
+       "  {'transposition': (-3, 0, 0, 1),\n",
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+       "    (-2, 0, 1, 0): {'destination': (1, 0, 1, -1), 'cent_difference': 0}}}),\n",
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+       "  ((6, 0, -1, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
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+       "  {'transposition': (0, 0, 0, 0),\n",
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+       "  {'transposition': (-3, 0, 1, 0),\n",
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+       "  ((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
+       "  {'transposition': (3, 0, -1, 0),\n",
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+       "   'is_directly_tunable': False,\n",
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+       "  ((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
+       "  {'transposition': (0, 0, 1, -1),\n",
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+       "  {'transposition': (0, 0, -1, 1),\n",
+       "   'symmetric_difference': 2,\n",
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+       "  {'transposition': (1, -1, 0, 0),\n",
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+       "  {'transposition': (-1, 1, 0, 0),\n",
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+       "  {'transposition': (-3, 0, 0, 1),\n",
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+       "     'cent_difference': 462.34818706174997}}}),\n",
+       " (((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
+       "  ((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
+       "  {'transposition': (-3, 0, 0, 1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(0, 0, 0, 0): {'destination': (3, 0, 0, -1),\n",
+       "     'cent_difference': 0},\n",
+       "    (-2, 0, 1, 0): {'destination': (1, 0, 1, -1), 'cent_difference': 0}}}),\n",
+       " (((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
+       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
+       "    (1, 0, 1, -1): {'destination': (-2, 0, 1, 0),\n",
+       "     'cent_difference': -231.1740935308748}}}),\n",
+       " (((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
+       "  ((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
+       " (((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
+       "  ((1, 1, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (2, -1, 1, -1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(3, 0, 0, -1): {'destination': (1, 1, -1, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (1, 0, 1, -1): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': -84.46719346967784}}}),\n",
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+       "  ((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
+       "  {'transposition': (-2, 1, -1, 1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(1, 1, -1, 0): {'destination': (3, 0, 0, -1),\n",
+       "     'cent_difference': 0},\n",
+       "    (-1, 1, 0, 0): {'destination': (1, 0, 1, -1), 'cent_difference': 0}}}),\n",
+       " (((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
+       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 1, 1, 0)),\n",
+       "  {'transposition': (4, -1, 0, -1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(3, 0, 0, -1): {'destination': (-1, 1, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (1, 0, 1, -1): {'destination': (-3, 1, 1, 0), 'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': -470.78090733451245}}}),\n",
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+       "  ((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
+       "  {'transposition': (-4, 1, 0, 1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(-1, 1, 0, 0): {'destination': (3, 0, 0, -1),\n",
+       "     'cent_difference': 0},\n",
+       "    (-3, 1, 1, 0): {'destination': (1, 0, 1, -1), 'cent_difference': 0}}}),\n",
+       " (((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
+       "  ((0, 0, 0, 0), (0, 0, -1, 1), (-2, 0, 0, 1)),\n",
+       "  {'transposition': (3, 0, 1, -2),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(3, 0, 0, -1): {'destination': (0, 0, -1, 1),\n",
+       "     'cent_difference': 0},\n",
+       "    (1, 0, 1, -1): {'destination': (-2, 0, 0, 1), 'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': -351.33809907341526}}}),\n",
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+       "  ((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
+       "  {'transposition': (-3, 0, -1, 2),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(0, 0, -1, 1): {'destination': (3, 0, 0, -1),\n",
+       "     'cent_difference': 0},\n",
+       "    (-2, 0, 0, 1): {'destination': (1, 0, 1, -1), 'cent_difference': 0}}}),\n",
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+       "  ((1, 0, 1, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
+       "  {'transposition': (3, 0, 0, -1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(3, 0, 0, -1): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (1, 0, 1, -1): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (1, 0, 1, -1),\n",
+       "     'cent_difference': 848.6619009265848}}}),\n",
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+       "  ((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
+       "  {'transposition': (-3, 0, 0, 1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(0, 0, 0, 0): {'destination': (3, 0, 0, -1),\n",
+       "     'cent_difference': 0},\n",
+       "    (-2, 0, 1, 0): {'destination': (1, 0, 1, -1), 'cent_difference': 0}}}),\n",
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+       "  ((1, 0, 1, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(1, 0, 1, -1): {'destination': (1, 0, 1, -1),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
+       "    (3, 0, 0, -1): {'destination': (-2, 0, 1, 0),\n",
+       "     'cent_difference': 155.13962033395984}}}),\n",
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+       "  ((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(1, 0, 1, -1): {'destination': (1, 0, 1, -1),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((1, 0, 1, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
+       "  {'transposition': (2, 0, -1, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(3, 0, 0, -1): {'destination': (1, 0, 1, -1),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
+       "    (1, 0, 1, -1): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': -1003.8015212605444}}}),\n",
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+       "  ((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
+       "  {'transposition': (-2, 0, 1, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(1, 0, 1, -1): {'destination': (3, 0, 0, -1),\n",
+       "     'cent_difference': 0},\n",
+       "    (-2, 0, 1, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, -1, 0, 1)),\n",
+       "  {'transposition': (1, 1, 0, -1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
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+       "    (0, 0, 0, 0): {'destination': (-1, -1, 0, 1), 'cent_difference': 0},\n",
+       "    (1, 0, 1, -1): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': -884.3587129994473}}}),\n",
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+       "  ((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
+       "  {'transposition': (-1, -1, 0, 1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(2, -1, 0, 0): {'destination': (3, 0, 0, -1),\n",
+       "     'cent_difference': 0},\n",
+       "    (-1, -1, 0, 1): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((5, 0, -2, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
+       "  {'transposition': (-2, 0, 2, -1),\n",
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+       "   'is_directly_tunable': False,\n",
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+       "    (1, 0, 1, -1): {'destination': (3, 0, -1, 0), 'cent_difference': 0},\n",
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+       "  ((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
+       "  {'transposition': (2, 0, -2, 1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
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+       "    (3, 0, -1, 0): {'destination': (1, 0, 1, -1), 'cent_difference': 0}}}),\n",
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+       "  ((3, 0, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
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+       "   'is_directly_tunable': False,\n",
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+       "  ((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
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+       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
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+       "  ((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
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+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
+       "  {'transposition': (-5, 0, 1, 1),\n",
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+       "    (-5, 0, 1, 1): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  {'transposition': (-3, 0, 0, 1),\n",
+       "   'symmetric_difference': 2,\n",
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+       "    (-2, 0, 1, 0): {'destination': (1, 0, 1, -1), 'cent_difference': 0}}}),\n",
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+       "  ((3, 0, 0, -1), (2, 1, 0, -1), (0, 0, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
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+       "  ((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
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+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((0, 0, 0, 0), (-2, 0, 0, 1), (-5, 0, 0, 2)),\n",
+       "  {'transposition': (5, 0, 0, -2),\n",
+       "   'symmetric_difference': 2,\n",
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+       "    (0, 0, 0, 0): {'destination': (-5, 0, 0, 2), 'cent_difference': 0},\n",
+       "    (1, 0, 1, -1): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': -1355.1396203339596}}}),\n",
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+       "  ((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
+       "  {'transposition': (-5, 0, 0, 2),\n",
+       "   'symmetric_difference': 2,\n",
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+       "   'movements': {(-2, 0, 0, 1): {'destination': (3, 0, 0, -1),\n",
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+       "    (-5, 0, 0, 2): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1)),\n",
+       "  {'transposition': (2, -1, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(0, -1, 1, 0): {'destination': (-2, 0, 1, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (2, -1, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (-2, 0, 0, 1),\n",
+       "     'cent_difference': 1466.8709056037371}}}),\n",
+       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1)),\n",
+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
+       "  {'transposition': (-2, 1, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(-2, 0, 1, 0): {'destination': (0, -1, 1, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0}}}),\n",
+       " (((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
+       "  ((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
+       "  {'transposition': (-3, 0, 0, 1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(2, -1, 0, 0): {'destination': (5, -1, 0, -1),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (3, 0, 0, -1), 'cent_difference': 0},\n",
+       "    (0, -1, 1, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': -1115.5328065303224}}}),\n",
+       " (((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
+       "  {'transposition': (3, 0, 0, -1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(5, -1, 0, -1): {'destination': (2, -1, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (3, 0, 0, -1): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
+       " (((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
+       "  ((3, 0, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (2, -1, 0, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0},\n",
+       "    (0, -1, 1, 0): {'destination': (3, 0, -1, 0),\n",
+       "     'cent_difference': -70.67242686428199}}}),\n",
+       " (((3, 0, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (2, -1, 0, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0}}}),\n",
+       " (((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
+       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
+       "  {'transposition': (2, -1, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(0, -1, 1, 0): {'destination': (-2, 0, 1, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (2, -1, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (3, 0, -1, 0),\n",
+       "     'cent_difference': 1311.7312852697778}}}),\n",
+       " (((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
+       "  {'transposition': (-2, 1, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(-2, 0, 1, 0): {'destination': (0, -1, 1, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0}}}),\n",
+       " (((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
+       "  ((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
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+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(0, -1, 1, 0): {'destination': (0, -1, 1, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
+       "    (2, -1, 0, 0): {'destination': (-2, 0, 1, 0),\n",
+       "     'cent_difference': -111.73128526977763}}}),\n",
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+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(0, -1, 1, 0): {'destination': (0, -1, 1, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
+       " (((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
+       "  ((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
+       "  {'transposition': (2, -1, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(0, -1, 1, 0): {'destination': (-2, 0, 1, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (2, -1, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (0, -1, 1, 0),\n",
+       "     'cent_difference': 1382.40371213406}}}),\n",
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+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
+       "  {'transposition': (-2, 1, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
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+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
+       "  {'transposition': (2, 0, -1, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(2, -1, 0, 0): {'destination': (0, -1, 1, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
+       "    (0, -1, 1, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': -1270.672426864282}}}),\n",
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+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
+       "  {'transposition': (-2, 0, 1, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(0, -1, 1, 0): {'destination': (2, -1, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-2, 0, 1, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
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+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
+       "    (0, -1, 1, 0): {'destination': (-2, 0, 1, 0),\n",
+       "     'cent_difference': -498.0449991346125}}}),\n",
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+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
+       " (((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
+       "  {'transposition': (2, -1, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(0, -1, 1, 0): {'destination': (-2, 0, 1, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (2, -1, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (2, -1, 0, 0),\n",
+       "     'cent_difference': 996.0899982692251}}}),\n",
+       " (((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
+       "  {'transposition': (-2, 1, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
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+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0}}}),\n",
+       " (((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
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+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
+       "    (0, -1, 1, 0): {'destination': (-1, 1, 0, 0),\n",
+       "     'cent_difference': -182.4037121340599}}}),\n",
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+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
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+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
+       " (((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
+       "  ((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
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+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
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+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
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+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
+       " (((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
+       "  ((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
+       "  {'transposition': (-2, 1, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
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+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
+       "  {'transposition': (2, -1, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
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+       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-4, 0, 2, 0)),\n",
+       "  {'transposition': (2, -1, 0, 0),\n",
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+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
+       "  {'transposition': (-2, 1, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
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+       "    (0, 0, 0, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-4, 0, 2, 0)),\n",
+       "  {'transposition': (4, -1, -1, 0),\n",
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+       "  {'transposition': (-4, 1, 1, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
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+       "    (-2, 0, 1, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  {'transposition': (2, -1, 0, 0),\n",
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+       "   'is_directly_tunable': False,\n",
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+       "    (0, 0, 0, 0): {'destination': (-3, 1, 1, 0),\n",
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+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
+       "  {'transposition': (-2, 1, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
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+       "    (0, 0, 0, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((0, 0, 0, 0), (-2, 0, 0, 1), (-4, 1, 0, 1)),\n",
+       "  {'transposition': (4, -1, 0, -1),\n",
+       "   'symmetric_difference': 2,\n",
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+       "    (0, -1, 1, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': -1355.1396203339598}}}),\n",
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+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
+       "  {'transposition': (-4, 1, 0, 1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(-2, 0, 0, 1): {'destination': (2, -1, 0, 0),\n",
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+       "    (-4, 1, 0, 1): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((4, -1, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
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+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
+       "    (0, -1, 1, 0): {'destination': (4, -1, -1, 0),\n",
+       "     'cent_difference': -772.6274277296695}}}),\n",
+       " (((4, -1, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((4, -1, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
+       "  {'transposition': (-2, 0, 1, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(0, -1, 1, 0): {'destination': (2, -1, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (2, -1, 0, 0): {'destination': (4, -1, -1, 0), 'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 386.3137138648348}}}),\n",
+       " (((4, -1, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
+       "  {'transposition': (2, 0, -1, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(2, -1, 0, 0): {'destination': (0, -1, 1, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (4, -1, -1, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0}}}),\n",
+       " (((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
+       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)),\n",
+       "  {'transposition': (3, -2, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(2, -1, 0, 0): {'destination': (-1, 1, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (-3, 2, 0, 0), 'cent_difference': 0},\n",
+       "    (0, -1, 1, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': -1088.2687147302222}}}),\n",
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+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
+       "  {'transposition': (-3, 2, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(-1, 1, 0, 0): {'destination': (2, -1, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-3, 2, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
+       " (((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
+       "  ((3, 0, -1, 0), (1, 1, -1, 0), (0, 0, 0, 0)),\n",
+       "  {'transposition': (-1, -1, 1, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(2, -1, 0, 0): {'destination': (3, 0, -1, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (1, 1, -1, 0), 'cent_difference': 0},\n",
+       "    (0, -1, 1, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': -1200.0}}}),\n",
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+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
+       "  {'transposition': (1, 1, -1, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
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+       "     'cent_difference': 0},\n",
+       "    (1, 1, -1, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
+       " (((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
+       "  ((5, -1, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
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+       "   'is_directly_tunable': False,\n",
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+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
+       "    (0, -1, 1, 0): {'destination': (5, -1, 0, -1),\n",
+       "     'cent_difference': -155.13962033395978}}}),\n",
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+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
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+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
+       "  {'transposition': (2, -1, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
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+       "     'cent_difference': 0},\n",
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+       "    (0, 0, 0, 0): {'destination': (3, 0, 0, -1),\n",
+       "     'cent_difference': 729.2190926654876}}}),\n",
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+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
+       "  {'transposition': (-2, 1, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
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+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((1, 1, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (1, -2, 1, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
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+       "     'cent_difference': 0},\n",
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+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 182.40371213406007}}}),\n",
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+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
+       "  {'transposition': (-1, 2, -1, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
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+       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 1, 1, 0)),\n",
+       "  {'transposition': (3, -2, 0, 0),\n",
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+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
+       "  {'transposition': (-3, 2, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
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+       "    (-1, 1, 0, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((0, 0, 0, 0), (0, 0, -1, 1), (-2, 0, 0, 1)),\n",
+       "  {'transposition': (2, -1, 1, -1),\n",
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+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
+       "  {'transposition': (-2, 1, -1, 1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
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+       "    (0, 0, -1, 1): {'destination': (2, -1, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((1, 0, 1, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
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+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
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+       "    (2, -1, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (1, 0, 1, -1),\n",
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+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
+       "  {'transposition': (-2, 1, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
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+       "    (0, 0, 0, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, -1, 0, 1)),\n",
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+       "  ((5, 0, -2, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
+       "  {'transposition': (-3, -1, 2, 0),\n",
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+       "  {'transposition': (3, 1, -2, 0),\n",
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+       "  {'transposition': (-2, 1, 0, 0),\n",
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+       "     'cent_difference': 933.1290943962623}}}),\n",
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+       "  {'transposition': (4, -1, 0, -1),\n",
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+       "    (3, 0, 0, -1): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  {'transposition': (-7, 1, 0, 2),\n",
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+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
+       "    (-4, 1, 0, 1): {'destination': (1, 1, -1, 0),\n",
+       "     'cent_difference': -155.1396203339595}}}),\n",
+       " (((1, 1, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
+       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
+       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 1, 1, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
+       "    (-4, 1, 0, 1): {'destination': (-3, 1, 1, 0),\n",
+       "     'cent_difference': 617.4878073957098}}}),\n",
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+       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
+       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
+       "  ((1, 0, 1, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
+       "  {'transposition': (-2, 1, -1, 1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(-4, 1, 0, 1): {'destination': (-2, 0, 1, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-1, 1, 0, 0): {'destination': (1, 0, 1, -1), 'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 84.46719346967797}}}),\n",
+       " (((1, 0, 1, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
+       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
+       "  {'transposition': (2, -1, 1, -1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(-2, 0, 1, 0): {'destination': (-4, 1, 0, 1),\n",
+       "     'cent_difference': 0},\n",
+       "    (1, 0, 1, -1): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
+       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, -1, 0, 1)),\n",
+       "  {'transposition': (-3, 2, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(-4, 1, 0, 1): {'destination': (-1, -1, 0, 1),\n",
+       "     'cent_difference': 0},\n",
+       "    (-1, 1, 0, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 203.91000173077484}}}),\n",
+       " (((2, -1, 0, 0), (0, 0, 0, 0), (-1, -1, 0, 1)),\n",
+       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
+       "  {'transposition': (3, -2, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(-1, -1, 0, 1): {'destination': (-4, 1, 0, 1),\n",
+       "     'cent_difference': 0},\n",
+       "    (2, -1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
+       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
+       "  ((3, 0, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
+       "  {'transposition': (-4, 1, 0, 1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(-4, 1, 0, 1): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-1, 1, 0, 0): {'destination': (3, 0, 0, -1), 'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (2, -1, 0, 0),\n",
+       "     'cent_difference': 968.8259064691249}}}),\n",
+       " (((3, 0, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
+       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
+       "  {'transposition': (4, -1, 0, -1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(0, 0, 0, 0): {'destination': (-4, 1, 0, 1),\n",
+       "     'cent_difference': 0},\n",
+       "    (3, 0, 0, -1): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
+       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
+       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (-4, 1, 0, 1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(-4, 1, 0, 1): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-1, 1, 0, 0): {'destination': (3, 0, 0, -1), 'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (-1, 1, 0, 0),\n",
+       "     'cent_difference': 1172.7359081998998}}}),\n",
+       " (((3, 0, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
+       "  {'transposition': (4, -1, 0, -1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(0, 0, 0, 0): {'destination': (-4, 1, 0, 1),\n",
+       "     'cent_difference': 0},\n",
+       "    (3, 0, 0, -1): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
+       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
+       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
+       "    (-4, 1, 0, 1): {'destination': (3, 0, 0, -1),\n",
+       "     'cent_difference': -239.6068138036374}}}),\n",
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+       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (-3, 0, 0, 1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(-4, 1, 0, 1): {'destination': (-1, 1, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (3, 0, 0, -1), 'cent_difference': 0},\n",
+       "    (-1, 1, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': -933.1290943962625}}}),\n",
+       " (((3, 0, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
+       "  {'transposition': (3, 0, 0, -1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(-1, 1, 0, 0): {'destination': (-4, 1, 0, 1),\n",
+       "     'cent_difference': 0},\n",
+       "    (3, 0, 0, -1): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-5, 0, 1, 1)),\n",
+       "  {'transposition': (1, 1, -1, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(-4, 1, 0, 1): {'destination': (-5, 0, 1, 1),\n",
+       "     'cent_difference': 0},\n",
+       "    (-1, 1, 0, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 315.6412870005529}}}),\n",
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+       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
+       "  {'transposition': (-1, -1, 1, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(-5, 0, 1, 1): {'destination': (-4, 1, 0, 1),\n",
+       "     'cent_difference': 0},\n",
+       "    (-2, 0, 1, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
+       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
+       "  {'transposition': (-2, 1, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(-4, 1, 0, 1): {'destination': (-2, 0, 0, 1),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0},\n",
+       "    (-1, 1, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': -1200.0}}}),\n",
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+       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
+       "  {'transposition': (2, -1, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(-2, 0, 0, 1): {'destination': (-4, 1, 0, 1),\n",
+       "     'cent_difference': 0},\n",
+       "    (2, -1, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((0, 0, 0, 0), (-1, -1, 0, 1), (-2, 0, 0, 1)),\n",
+       "  {'transposition': (1, 1, 0, -1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(0, 0, 0, 0): {'destination': (-1, -1, 0, 1),\n",
+       "     'cent_difference': 0},\n",
+       "    (-1, 1, 0, 0): {'destination': (-2, 0, 0, 1), 'cent_difference': 0},\n",
+       "    (-4, 1, 0, 1): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': -737.65181293825}}}),\n",
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+       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
+       "  {'transposition': (-1, -1, 0, 1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(-1, -1, 0, 1): {'destination': (0, 0, 0, 0),\n",
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+       "    (-2, 0, 0, 1): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
+       "    (-4, 1, 0, 1): {'destination': (-2, 0, 1, 0),\n",
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+       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
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+       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((3, 0, 0, -1), (2, 1, 0, -1), (0, 0, 0, 0)),\n",
+       "  {'transposition': (-4, 1, 0, 1),\n",
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+       "    (-1, 1, 0, 0): {'destination': (3, 0, 0, -1), 'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (2, 1, 0, -1),\n",
+       "     'cent_difference': 1403.9100017307749}}}),\n",
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+       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
+       "  {'transposition': (4, -1, 0, -1),\n",
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+       "    (3, 0, 0, -1): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((3, 0, 0, -1), (2, 1, 0, -1), (0, 0, 0, 0)),\n",
+       "  {'transposition': (-3, 0, 0, 1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
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+       "    (-1, 1, 0, 0): {'destination': (2, 1, 0, -1), 'cent_difference': 0},\n",
+       "    (-4, 1, 0, 1): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': -701.9550008653875}}}),\n",
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+       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
+       "  {'transposition': (3, 0, 0, -1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(3, 0, 0, -1): {'destination': (0, 0, 0, 0),\n",
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+       "    (2, 1, 0, -1): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((0, 0, 0, 0), (-2, 0, 0, 1), (-5, 0, 0, 2)),\n",
+       "  {'transposition': (1, 1, 0, -1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(-4, 1, 0, 1): {'destination': (-5, 0, 0, 2),\n",
+       "     'cent_difference': 0},\n",
+       "    (-1, 1, 0, 0): {'destination': (-2, 0, 0, 1), 'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': -266.87090560373764}}}),\n",
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+       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
+       "  {'transposition': (-1, -1, 0, 1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(-5, 0, 0, 2): {'destination': (-4, 1, 0, 1),\n",
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+       "    (-2, 0, 0, 1): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((4, -1, -1, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
+       "  {'transposition': (-4, 1, 1, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(0, 0, 0, 0): {'destination': (4, -1, -1, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-1, 1, 0, 0): {'destination': (3, 0, -1, 0), 'cent_difference': 0},\n",
+       "    (-4, 1, 0, 1): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': -582.5121926042901}}}),\n",
+       " (((4, -1, -1, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
+       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
+       "  {'transposition': (4, -1, -1, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(4, -1, -1, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (3, 0, -1, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
+       " (((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
+       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
+       "  {'transposition': (3, 0, 0, -1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(6, 0, 0, -2): {'destination': (3, 0, 0, -1),\n",
+       "     'cent_difference': 0},\n",
+       "    (3, 0, 0, -1): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (-2, 0, 0, 1), 'cent_difference': 1200.0}}}),\n",
+       " (((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
+       "  ((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
+       "  {'transposition': (-3, 0, 0, 1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(3, 0, 0, -1): {'destination': (6, 0, 0, -2),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (3, 0, 0, -1), 'cent_difference': 0}}}),\n",
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+       "  {'transposition': (0, 0, 0, 0),\n",
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+       "  ((6, 0, -1, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
+       "  {'transposition': (-3, 0, 1, 0),\n",
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+       "  {'transposition': (3, 0, -1, 0),\n",
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+       "  {'transposition': (0, 0, 1, -1),\n",
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+       "  {'transposition': (0, 0, -1, 1),\n",
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+       "  ((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (1, -1, 0, 0),\n",
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+       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
+       "  {'transposition': (-1, 1, 0, 0),\n",
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+       "  ((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
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+       "  {'transposition': (0, 0, 0, 0),\n",
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+       "  {'transposition': (-4, 1, 1, 0),\n",
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+       "   'is_directly_tunable': True,\n",
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+       "  {'transposition': (4, -1, -1, 0),\n",
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+       "  {'transposition': (1, 1, -1, 0),\n",
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+       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 1, 1, 0)),\n",
+       "  {'transposition': (1, -1, 0, 0),\n",
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+       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1)),\n",
+       "  {'transposition': (-1, 1, 0, 0),\n",
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+       "  {'transposition': (0, 0, 0, 0),\n",
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+       "  {'transposition': (2, 0, -1, 0),\n",
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+       "  {'transposition': (0, 0, -1, 1),\n",
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+       "    (-2, 0, 0, 1): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
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+       "  {'transposition': (-3, 0, 1, 0),\n",
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+       "  {'transposition': (0, 0, 1, -1),\n",
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+       "  {'transposition': (0, 0, -1, 1),\n",
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+       "  {'transposition': (0, 0, 0, 0),\n",
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+       "  {'transposition': (0, 0, 0, 0),\n",
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+       "  {'transposition': (0, 0, 0, 0),\n",
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+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
+       "    (-2, 0, 1, 0): {'destination': (1, 1, -1, 0),\n",
+       "     'cent_difference': -70.67242686428193}}}),\n",
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+       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
+       "    (3, 0, -1, 0): {'destination': (3, 0, 0, -1),\n",
+       "     'cent_difference': -582.5121926042904}}}),\n",
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+       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
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+       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
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+       "  ((1, 1, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (-1, -1, 1, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
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+       "     'cent_difference': 0},\n",
+       "    (-2, 0, 1, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
+       "    (3, 0, -1, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': -1129.327573135718}}}),\n",
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+       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
+       "  {'transposition': (1, 1, -1, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
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+       "     'cent_difference': 0},\n",
+       "    (-1, 1, 0, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
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+       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 1, 1, 0)),\n",
+       "  {'transposition': (1, -1, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
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+       "    (-2, 0, 1, 0): {'destination': (-3, 1, 1, 0), 'cent_difference': 0},\n",
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+       "     'cent_difference': -1515.641287000553}}}),\n",
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+       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
+       "  {'transposition': (-1, 1, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(-1, 1, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-3, 1, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
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+       "  ((0, 0, 0, 0), (0, 0, -1, 1), (-2, 0, 0, 1)),\n",
+       "  {'transposition': (0, 0, 1, -1),\n",
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+       "   'is_directly_tunable': True,\n",
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+       "    (-2, 0, 1, 0): {'destination': (-2, 0, 0, 1), 'cent_difference': 0},\n",
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+       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
+       "  {'transposition': (0, 0, -1, 1),\n",
+       "   'symmetric_difference': 2,\n",
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+       "    (-2, 0, 0, 1): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
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+       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
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+       "  {'transposition': (0, 0, 0, 0),\n",
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+       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
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+       "  {'transposition': (0, 0, 0, 0),\n",
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+       "  {'transposition': (0, 0, 0, 0),\n",
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+       "   'is_directly_tunable': False,\n",
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+       "  {'transposition': (2, 0, -1, 0),\n",
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+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 196.19847873945548}}}),\n",
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+       "  ((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
+       "  {'transposition': (-2, 0, 2, -1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(-2, 0, 1, 0): {'destination': (0, 0, -1, 1),\n",
+       "     'cent_difference': 0},\n",
+       "    (1, 0, 1, -1): {'destination': (3, 0, -1, 0), 'cent_difference': 0}}}),\n",
+       " (((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, -1, 0, 1)),\n",
+       "  {'transposition': (1, 1, -1, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(0, 0, -1, 1): {'destination': (-1, -1, 0, 1),\n",
+       "     'cent_difference': 0},\n",
+       "    (3, 0, -1, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 315.6412870005529}}}),\n",
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+       "  ((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
+       "  {'transposition': (-1, -1, 1, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(-1, -1, 0, 1): {'destination': (0, 0, -1, 1),\n",
+       "     'cent_difference': 0},\n",
+       "    (2, -1, 0, 0): {'destination': (3, 0, -1, 0), 'cent_difference': 0}}}),\n",
+       " (((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
+       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
+       "    (0, 0, -1, 1): {'destination': (-2, 0, 0, 1),\n",
+       "     'cent_difference': 386.31371386483465}}}),\n",
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+       "  ((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
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+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
+       " (((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
+       "  ((5, 0, -2, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
+       "    (0, 0, -1, 1): {'destination': (5, 0, -2, 0),\n",
+       "     'cent_difference': -155.13962033395984}}}),\n",
+       " (((5, 0, -2, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
+       "  ((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
+       " (((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
+       "  ((3, 0, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
+       "  {'transposition': (0, 0, -1, 1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(0, 0, -1, 1): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (3, 0, -1, 0): {'destination': (3, 0, 0, -1), 'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (2, -1, 0, 0),\n",
+       "     'cent_difference': 1080.5571917389027}}}),\n",
+       " (((3, 0, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
+       "  ((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
+       "  {'transposition': (0, 0, 1, -1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, -1, 1),\n",
+       "     'cent_difference': 0},\n",
+       "    (3, 0, 0, -1): {'destination': (3, 0, -1, 0), 'cent_difference': 0}}}),\n",
+       " (((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
+       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (0, 0, -1, 1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(0, 0, -1, 1): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (3, 0, -1, 0): {'destination': (3, 0, 0, -1), 'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (-1, 1, 0, 0),\n",
+       "     'cent_difference': 1284.467193469678}}}),\n",
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+       "  ((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
+       "  {'transposition': (0, 0, 1, -1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, -1, 1),\n",
+       "     'cent_difference': 0},\n",
+       "    (3, 0, 0, -1): {'destination': (3, 0, -1, 0), 'cent_difference': 0}}}),\n",
+       " (((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
+       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-5, 0, 1, 1)),\n",
+       "  {'transposition': (5, 0, -2, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(0, 0, -1, 1): {'destination': (-5, 0, 1, 1),\n",
+       "     'cent_difference': 0},\n",
+       "    (3, 0, -1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 427.3725722703304}}}),\n",
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+       "  ((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
+       "  {'transposition': (-5, 0, 2, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(-5, 0, 1, 1): {'destination': (0, 0, -1, 1),\n",
+       "     'cent_difference': 0},\n",
+       "    (-2, 0, 1, 0): {'destination': (3, 0, -1, 0), 'cent_difference': 0}}}),\n",
+       " (((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
+       "  ((3, 0, 0, -1), (2, 1, 0, -1), (0, 0, 0, 0)),\n",
+       "  {'transposition': (0, 0, -1, 1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(0, 0, -1, 1): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (3, 0, -1, 0): {'destination': (3, 0, 0, -1), 'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (2, 1, 0, -1),\n",
+       "     'cent_difference': 1515.641287000553}}}),\n",
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+       "  ((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
+       "  {'transposition': (0, 0, 1, -1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, -1, 1),\n",
+       "     'cent_difference': 0},\n",
+       "    (3, 0, 0, -1): {'destination': (3, 0, -1, 0), 'cent_difference': 0}}}),\n",
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+       "  ((0, 0, 0, 0), (-2, 0, 0, 1), (-5, 0, 0, 2)),\n",
+       "  {'transposition': (5, 0, -1, -1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(0, 0, -1, 1): {'destination': (-5, 0, 0, 2),\n",
+       "     'cent_difference': 0},\n",
+       "    (3, 0, -1, 0): {'destination': (-2, 0, 0, 1), 'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': -155.13962033395978}}}),\n",
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+       "  ((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
+       "  {'transposition': (-5, 0, 1, 1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(-5, 0, 0, 2): {'destination': (0, 0, -1, 1),\n",
+       "     'cent_difference': 0},\n",
+       "    (-2, 0, 0, 1): {'destination': (3, 0, -1, 0), 'cent_difference': 0}}}),\n",
+       " (((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
+       "  ((4, -1, -1, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
+       "    (0, 0, -1, 1): {'destination': (4, -1, -1, 0),\n",
+       "     'cent_difference': -470.7809073345125}}}),\n",
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+       "  ((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
+       "  {'transposition': (-1, 1, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(2, 1, 0, -1): {'destination': (3, 0, 0, -1),\n",
+       "     'cent_difference': 0},\n",
+       "    (-1, 1, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (3, 0, -1, 0),\n",
+       "     'cent_difference': 1515.641287000553}}}),\n",
+       " (((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
+       "  ((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (1, -1, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(3, 0, 0, -1): {'destination': (2, 1, 0, -1),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
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+       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
+       "    (2, 1, 0, -1): {'destination': (3, 0, -1, 0),\n",
+       "     'cent_difference': -119.44280826109696}}}),\n",
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+       "  ((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
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+       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
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+       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
+       "    (2, 1, 0, -1): {'destination': (2, -1, 0, 0),\n",
+       "     'cent_difference': -435.08409526164985}}}),\n",
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+       "  ((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
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+       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 0, 1)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
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+       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
+       "    (2, 1, 0, -1): {'destination': (-2, 0, 0, 1),\n",
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+       "  ((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
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+       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-3, 1, 1, 0)),\n",
+       "  {'transposition': (2, 0, -1, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
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+       "    (-1, 1, 0, 0): {'destination': (-3, 1, 1, 0), 'cent_difference': 0},\n",
+       "    (2, 1, 0, -1): {'destination': (0, 0, 0, 0),\n",
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+       "  ((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (-2, 0, 1, 0),\n",
+       "   'symmetric_difference': 2,\n",
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+       "    (-3, 1, 1, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
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+       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
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+       "     'cent_difference': -729.2190926654874}}}),\n",
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+       "  ((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
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+       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
+       " (((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  ((5, -1, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
+       "  {'transposition': (-3, 2, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(2, 1, 0, -1): {'destination': (5, -1, 0, -1),\n",
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+       "    (-1, 1, 0, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 203.91000173077484}}}),\n",
+       " (((5, -1, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
+       "  ((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (3, -2, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(5, -1, 0, -1): {'destination': (2, 1, 0, -1),\n",
+       "     'cent_difference': 0},\n",
+       "    (2, -1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
+       " (((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
+       "  {'transposition': (-1, 1, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(2, 1, 0, -1): {'destination': (3, 0, 0, -1),\n",
+       "     'cent_difference': 0},\n",
+       "    (-1, 1, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (-2, 0, 1, 0),\n",
+       "     'cent_difference': 1088.2687147302222}}}),\n",
+       " (((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
+       "  ((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (1, -1, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(3, 0, 0, -1): {'destination': (2, 1, 0, -1),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
+       " (((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  ((1, 1, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
+       "    (2, 1, 0, -1): {'destination': (1, 1, -1, 0),\n",
+       "     'cent_difference': -617.4878073957094}}}),\n",
+       " (((1, 1, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  ((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
+       " (((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 1, 1, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
+       "    (2, 1, 0, -1): {'destination': (-3, 1, 1, 0),\n",
+       "     'cent_difference': 155.1396203339599}}}),\n",
+       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 1, 1, 0)),\n",
+       "  ((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
+       " (((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  ((1, 0, 1, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
+       "  {'transposition': (1, 1, -1, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(2, 1, 0, -1): {'destination': (1, 0, 1, -1),\n",
+       "     'cent_difference': 0},\n",
+       "    (-1, 1, 0, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 315.6412870005529}}}),\n",
+       " (((1, 0, 1, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
+       "  ((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (-1, -1, 1, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(1, 0, 1, -1): {'destination': (2, 1, 0, -1),\n",
+       "     'cent_difference': 0},\n",
+       "    (-2, 0, 1, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
+       " (((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, -1, 0, 1)),\n",
+       "  {'transposition': (0, 2, 0, -1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(2, 1, 0, -1): {'destination': (2, -1, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-1, 1, 0, 0): {'destination': (-1, -1, 0, 1), 'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 435.0840952616498}}}),\n",
+       " (((2, -1, 0, 0), (0, 0, 0, 0), (-1, -1, 0, 1)),\n",
+       "  ((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (0, -2, 0, 1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(2, -1, 0, 0): {'destination': (2, 1, 0, -1),\n",
+       "     'cent_difference': 0},\n",
+       "    (-1, -1, 0, 1): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
+       " (((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  ((3, 0, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
+       "  {'transposition': (-1, 1, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(2, 1, 0, -1): {'destination': (3, 0, 0, -1),\n",
+       "     'cent_difference': 0},\n",
+       "    (-1, 1, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 1200.0}}}),\n",
+       " (((3, 0, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
+       "  ((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (1, -1, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(3, 0, 0, -1): {'destination': (2, 1, 0, -1),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
+       " (((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
+       "    (2, 1, 0, -1): {'destination': (3, 0, 0, -1),\n",
+       "     'cent_difference': -701.9550008653873}}}),\n",
+       " (((3, 0, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  ((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
+       " (((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (-1, 1, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(2, 1, 0, -1): {'destination': (3, 0, 0, -1),\n",
+       "     'cent_difference': 0},\n",
+       "    (-1, 1, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (-1, 1, 0, 0),\n",
+       "     'cent_difference': 1403.9100017307749}}}),\n",
+       " (((3, 0, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  ((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (1, -1, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(3, 0, 0, -1): {'destination': (2, 1, 0, -1),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
+       " (((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-5, 0, 1, 1)),\n",
+       "  {'transposition': (4, 1, -1, -1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(2, 1, 0, -1): {'destination': (-2, 0, 1, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-1, 1, 0, 0): {'destination': (-5, 0, 1, 1), 'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 546.815380531428}}}),\n",
+       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-5, 0, 1, 1)),\n",
+       "  ((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (-4, -1, 1, 1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(-2, 0, 1, 0): {'destination': (2, 1, 0, -1),\n",
+       "     'cent_difference': 0},\n",
+       "    (-5, 0, 1, 1): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
+       " (((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  ((0, 0, 0, 0), (-1, -1, 0, 1), (-2, 0, 0, 1)),\n",
+       "  {'transposition': (1, 1, 0, -1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(0, 0, 0, 0): {'destination': (-1, -1, 0, 1),\n",
+       "     'cent_difference': 0},\n",
+       "    (-1, 1, 0, 0): {'destination': (-2, 0, 0, 1), 'cent_difference': 0},\n",
+       "    (2, 1, 0, -1): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': -1200.0}}}),\n",
+       " (((0, 0, 0, 0), (-1, -1, 0, 1), (-2, 0, 0, 1)),\n",
+       "  ((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (-1, -1, 0, 1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(-1, -1, 0, 1): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-2, 0, 0, 1): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
+       " (((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
+       "    (2, 1, 0, -1): {'destination': (-2, 0, 1, 0),\n",
+       "     'cent_difference': -546.8153805314275}}}),\n",
+       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)),\n",
+       "  ((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
+       " (((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  ((3, 0, 0, -1), (2, 1, 0, -1), (0, 0, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(2, 1, 0, -1): {'destination': (2, 1, 0, -1),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
+       "    (-1, 1, 0, 0): {'destination': (3, 0, 0, -1),\n",
+       "     'cent_difference': -470.78090733451245}}}),\n",
+       " (((3, 0, 0, -1), (2, 1, 0, -1), (0, 0, 0, 0)),\n",
+       "  ((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(2, 1, 0, -1): {'destination': (2, 1, 0, -1),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
+       " (((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  ((3, 0, 0, -1), (2, 1, 0, -1), (0, 0, 0, 0)),\n",
+       "  {'transposition': (-3, 0, 0, 1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(0, 0, 0, 0): {'destination': (3, 0, 0, -1),\n",
+       "     'cent_difference': 0},\n",
+       "    (-1, 1, 0, 0): {'destination': (2, 1, 0, -1), 'cent_difference': 0},\n",
+       "    (2, 1, 0, -1): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': -1164.3031879271375}}}),\n",
+       " (((3, 0, 0, -1), (2, 1, 0, -1), (0, 0, 0, 0)),\n",
+       "  ((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (3, 0, 0, -1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(3, 0, 0, -1): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (2, 1, 0, -1): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
+       " (((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  ((3, 0, 0, -1), (2, 1, 0, -1), (0, 0, 0, 0)),\n",
+       "  {'transposition': (-1, 1, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(2, 1, 0, -1): {'destination': (3, 0, 0, -1),\n",
+       "     'cent_difference': 0},\n",
+       "    (-1, 1, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (2, 1, 0, -1),\n",
+       "     'cent_difference': 1635.0840952616497}}}),\n",
+       " (((3, 0, 0, -1), (2, 1, 0, -1), (0, 0, 0, 0)),\n",
+       "  ((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (1, -1, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(3, 0, 0, -1): {'destination': (2, 1, 0, -1),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
+       " (((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  ((0, 0, 0, 0), (-2, 0, 0, 1), (-5, 0, 0, 2)),\n",
+       "  {'transposition': (4, 1, 0, -2),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(2, 1, 0, -1): {'destination': (-2, 0, 0, 1),\n",
+       "     'cent_difference': 0},\n",
+       "    (-1, 1, 0, 0): {'destination': (-5, 0, 0, 2), 'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': -35.69681207286248}}}),\n",
+       " (((0, 0, 0, 0), (-2, 0, 0, 1), (-5, 0, 0, 2)),\n",
+       "  ((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (-4, -1, 0, 2),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(-2, 0, 0, 1): {'destination': (2, 1, 0, -1),\n",
+       "     'cent_difference': 0},\n",
+       "    (-5, 0, 0, 2): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
+       " (((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  ((4, -1, -1, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
+       "  {'transposition': (-4, 1, 1, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(0, 0, 0, 0): {'destination': (4, -1, -1, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-1, 1, 0, 0): {'destination': (3, 0, -1, 0), 'cent_difference': 0},\n",
+       "    (2, 1, 0, -1): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': -1044.86037966604}}}),\n",
+       " (((4, -1, -1, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
+       "  ((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (4, -1, -1, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(4, -1, -1, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (3, 0, -1, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
+       " (((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
+       "    (0, -1, 1, 0): {'destination': (2, -1, 0, 0),\n",
+       "     'cent_difference': -386.3137138648349}}}),\n",
+       " (((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
+       "  ((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
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+       "     'cent_difference': 0},\n",
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+       "  {'transposition': (0, 0, -1, 1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(0, 0, -1, 1): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-2, 0, 0, 1): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
+       " (((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
+       "  ((1, 0, 1, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
+       "    (0, -1, 1, 0): {'destination': (1, 0, 1, -1),\n",
+       "     'cent_difference': -266.8709056037377}}}),\n",
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+       "  ((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
+       " (((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, -1, 0, 1)),\n",
+       "  {'transposition': (-2, 0, 1, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(0, -1, 1, 0): {'destination': (2, -1, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-2, 0, 1, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (-1, -1, 0, 1),\n",
+       "     'cent_difference': 653.1846194685722}}}),\n",
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+       "  ((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
+       "  {'transposition': (2, 0, -1, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(2, -1, 0, 0): {'destination': (0, -1, 1, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
+       " (((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
+       "  ((5, 0, -2, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
+       "  {'transposition': (-5, 0, 2, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(0, 0, 0, 0): {'destination': (5, 0, -2, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-2, 0, 1, 0): {'destination': (3, 0, -1, 0), 'cent_difference': 0},\n",
+       "    (0, -1, 1, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': -1311.7312852697778}}}),\n",
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+       "  ((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
+       "  {'transposition': (5, 0, -2, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(5, 0, -2, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (3, 0, -1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
+       " (((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
+       "  ((3, 0, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
+       "  {'transposition': (-2, 0, 1, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(0, -1, 1, 0): {'destination': (2, -1, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-2, 0, 1, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (3, 0, 0, -1),\n",
+       "     'cent_difference': 617.4878073957096}}}),\n",
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+       "  ((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
+       "  {'transposition': (2, 0, -1, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(2, -1, 0, 0): {'destination': (0, -1, 1, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
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+       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-5, 0, 1, 1)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
+       "    (0, -1, 1, 0): {'destination': (-5, 0, 1, 1),\n",
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+       "  ((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
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+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
+       "  {'transposition': (-2, 0, 1, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(0, -1, 1, 0): {'destination': (2, -1, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-2, 0, 1, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (-2, 0, 0, 1),\n",
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+       "  ((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
+       "  {'transposition': (2, 0, -1, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(2, -1, 0, 0): {'destination': (0, -1, 1, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
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+       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
+       "    (0, -1, 1, 0): {'destination': (-1, 1, 0, 0),\n",
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+       "  ((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
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+       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
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+       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
+       "    (3, 0, 0, -1): {'destination': (-1, 1, 0, 0),\n",
+       "     'cent_difference': 470.78090733451245}}}),\n",
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+       "  ((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
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+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((0, 0, 0, 0), (-2, 0, 0, 1), (-5, 0, 1, 1)),\n",
+       "  {'transposition': (5, 0, -1, -1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(3, 0, -1, 0): {'destination': (-2, 0, 0, 1),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (-5, 0, 1, 1), 'cent_difference': 0},\n",
+       "    (3, 0, 0, -1): {'destination': (0, 0, 0, 0),\n",
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+       "  ((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
+       "  {'transposition': (-5, 0, 1, 1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(-2, 0, 0, 1): {'destination': (3, 0, -1, 0),\n",
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+       "    (-5, 0, 1, 1): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
+       " (((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
+       "  ((3, 0, -1, 0), (1, 1, -1, 0), (0, 0, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
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+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
+       "    (3, 0, 0, -1): {'destination': (1, 1, -1, 0),\n",
+       "     'cent_difference': 84.46719346967791}}}),\n",
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+       "  ((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
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+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((5, -1, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
+       "  {'transposition': (-2, 1, 0, 0),\n",
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+       "   'is_directly_tunable': False,\n",
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+       "  ((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
+       "  {'transposition': (2, -1, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
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+       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
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+       "  ((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
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+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((0, 0, 0, 0), (0, 0, -1, 1), (-2, 0, 0, 1)),\n",
+       "  {'transposition': (3, 0, 0, -1),\n",
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+       "    (3, 0, -1, 0): {'destination': (0, 0, -1, 1), 'cent_difference': 0},\n",
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+       "  ((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
+       "  {'transposition': (-3, 0, 0, 1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
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+       "    (0, 0, -1, 1): {'destination': (3, 0, -1, 0), 'cent_difference': 0}}}),\n",
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+       "  ((1, 0, 1, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
+       "  {'transposition': (2, 0, -1, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
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+       "     'cent_difference': -1200.0}}}),\n",
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+       "  ((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
+       "  {'transposition': (-2, 0, 1, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
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+       "    (-2, 0, 1, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, -1, 0, 1)),\n",
+       "  {'transposition': (1, 1, 0, -1),\n",
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+       "     'cent_difference': -1080.557191738903}}}),\n",
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+       "  ((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
+       "  {'transposition': (-1, -1, 0, 1),\n",
+       "   'symmetric_difference': 2,\n",
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+       "    (-1, -1, 0, 1): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
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+       "    (3, 0, 0, -1): {'destination': (-2, 0, 0, 1),\n",
+       "     'cent_difference': 737.6518129382499}}}),\n",
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+       "  ((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
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+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((5, 0, -2, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
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+       "  ((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
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+       "  ((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
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+       "  ((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
+       "  {'transposition': (-5, 0, 1, 1),\n",
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+       "  ((3, 0, 0, -1), (2, 1, 0, -1), (0, 0, 0, 0)),\n",
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+       "  ((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
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+       "  {'transposition': (5, 0, 0, -2),\n",
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+       "  {'transposition': (-5, 0, 0, 2),\n",
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+       "  {'transposition': (0, 0, 0, 0),\n",
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+       "  {'transposition': (1, 1, -1, 0),\n",
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+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
+       "  {'transposition': (4, -1, -1, 0),\n",
+       "   'symmetric_difference': 2,\n",
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+       "     'cent_difference': -274.5824285950571}}}),\n",
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+       "  {'transposition': (0, 0, 0, 0),\n",
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+       " (((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
+       "  ((4, -1, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
+       "  {'transposition': (-2, 0, 1, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(2, -1, 0, 0): {'destination': (4, -1, -1, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-2, 0, 1, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (2, -1, 0, 0),\n",
+       "     'cent_difference': 884.3587129994473}}}),\n",
+       " (((4, -1, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
+       "  {'transposition': (2, 0, -1, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(4, -1, -1, 0): {'destination': (2, -1, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
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+       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)),\n",
+       "  {'transposition': (3, -2, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(2, -1, 0, 0): {'destination': (-1, 1, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (-3, 2, 0, 0), 'cent_difference': 0},\n",
+       "    (-2, 0, 1, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': -590.2237155956097}}}),\n",
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+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
+       "  {'transposition': (-3, 2, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(-1, 1, 0, 0): {'destination': (2, -1, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-3, 2, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
+       " (((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
+       "  ((3, 0, -1, 0), (1, 1, -1, 0), (0, 0, 0, 0)),\n",
+       "  {'transposition': (-1, -1, 1, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(2, -1, 0, 0): {'destination': (3, 0, -1, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (1, 1, -1, 0), 'cent_difference': 0},\n",
+       "    (-2, 0, 1, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': -701.9550008653875}}}),\n",
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+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
+       "  {'transposition': (1, 1, -1, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(3, 0, -1, 0): {'destination': (2, -1, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (1, 1, -1, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
+       " (((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
+       "  ((5, -1, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
+       "    (-2, 0, 1, 0): {'destination': (5, -1, 0, -1),\n",
+       "     'cent_difference': 342.9053788006527}}}),\n",
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+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
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+       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
+       "    (2, -1, 0, 0): {'destination': (3, 0, 0, -1),\n",
+       "     'cent_difference': -266.87090560373747}}}),\n",
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+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
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+       "  ((1, 1, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (-1, -1, 1, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(0, 0, 0, 0): {'destination': (1, 1, -1, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-2, 0, 1, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
+       "    (2, -1, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': -813.6862861351651}}}),\n",
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+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
+       "  {'transposition': (1, 1, -1, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(1, 1, -1, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-1, 1, 0, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
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+       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 1, 1, 0)),\n",
+       "  {'transposition': (1, -1, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(0, 0, 0, 0): {'destination': (-1, 1, 0, 0),\n",
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+       "    (-2, 0, 1, 0): {'destination': (-3, 1, 1, 0), 'cent_difference': 0},\n",
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+       "     'cent_difference': -1200.0}}}),\n",
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+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
+       "  {'transposition': (-1, 1, 0, 0),\n",
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+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(-1, 1, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-3, 1, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
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+       "  ((0, 0, 0, 0), (0, 0, -1, 1), (-2, 0, 0, 1)),\n",
+       "  {'transposition': (0, 0, 1, -1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, -1, 1),\n",
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+       "    (-2, 0, 1, 0): {'destination': (-2, 0, 0, 1), 'cent_difference': 0},\n",
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+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
+       "  {'transposition': (0, 0, -1, 1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(0, 0, -1, 1): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-2, 0, 0, 1): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
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+       "  ((1, 0, 1, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
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+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
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+       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
+       "    (2, -1, 0, 0): {'destination': (1, 0, 1, -1),\n",
+       "     'cent_difference': 119.44280826109718}}}),\n",
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+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
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+       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
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+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, -1, 0, 1)),\n",
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+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
+       "    (-2, 0, 1, 0): {'destination': (-1, -1, 0, 1),\n",
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+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
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+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((5, 0, -2, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
+       "  {'transposition': (-5, 0, 2, 0),\n",
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+       "    (-2, 0, 1, 0): {'destination': (3, 0, -1, 0), 'cent_difference': 0},\n",
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+       "  {'transposition': (5, 0, -2, 0),\n",
+       "   'symmetric_difference': 2,\n",
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+       "    (3, 0, -1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
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+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
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+       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
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+       "    (-2, 0, 1, 0): {'destination': (-2, 0, 0, 1),\n",
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+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
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+       "   'is_directly_tunable': False,\n",
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+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
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+       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
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+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
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+       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
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+       "  ((4, -1, -1, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
+       "  {'transposition': (-2, 0, 1, 0),\n",
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+       "    (-2, 0, 1, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
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+       "  {'transposition': (2, 0, -1, 0),\n",
+       "   'symmetric_difference': 2,\n",
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+       "    (0, 0, 0, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
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+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
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+       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
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+       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
+       "    (3, 0, -1, 0): {'destination': (2, -1, 0, 0),\n",
+       "     'cent_difference': -315.6412870005529}}}),\n",
+       " (((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
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+       "     'cent_difference': 0},\n",
+       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 0, 1)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
+       "    (3, 0, -1, 0): {'destination': (-2, 0, 0, 1),\n",
+       "     'cent_difference': 155.13962033395956}}}),\n",
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+       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
+       " (((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  ((0, 0, 0, 0), (-2, 0, 0, 1), (-5, 0, 1, 1)),\n",
+       "  {'transposition': (5, 0, -1, -1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(3, 0, -1, 0): {'destination': (-2, 0, 0, 1),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (-5, 0, 1, 1), 'cent_difference': 0},\n",
+       "    (-1, 1, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': -857.0946211993472}}}),\n",
+       " (((0, 0, 0, 0), (-2, 0, 0, 1), (-5, 0, 1, 1)),\n",
+       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (-5, 0, 1, 1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(-2, 0, 0, 1): {'destination': (3, 0, -1, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-5, 0, 1, 1): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
+       " (((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-3, 1, 1, 0)),\n",
+       "  {'transposition': (2, 0, -1, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(0, 0, 0, 0): {'destination': (-2, 0, 1, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-1, 1, 0, 0): {'destination': (-3, 1, 1, 0), 'cent_difference': 0},\n",
+       "    (3, 0, -1, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': -1200.0}}}),\n",
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+       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (-2, 0, 1, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(-2, 0, 1, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-3, 1, 1, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((4, -1, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
+       "  {'transposition': (-1, 1, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(3, 0, -1, 0): {'destination': (4, -1, -1, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-1, 1, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 1200.0}}}),\n",
+       " (((4, -1, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
+       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (1, -1, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(4, -1, -1, 0): {'destination': (3, 0, -1, 0),\n",
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+       "    (0, 0, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
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+       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
+       "    (3, 0, -1, 0): {'destination': (-3, 2, 0, 0),\n",
+       "     'cent_difference': -609.7762844043905}}}),\n",
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+       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((3, 0, -1, 0), (1, 1, -1, 0), (0, 0, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
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+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
+       "    (-1, 1, 0, 0): {'destination': (1, 1, -1, 0),\n",
+       "     'cent_difference': -386.31371386483454}}}),\n",
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+       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
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+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((1, 1, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
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+       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
+       "    (3, 0, -1, 0): {'destination': (1, 1, -1, 0),\n",
+       "     'cent_difference': -498.04499913461245}}}),\n",
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+       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
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+       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 1, 1, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
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+       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
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+       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
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+       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
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+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
+       "    (-1, 1, 0, 0): {'destination': (-2, 0, 0, 1),\n",
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+       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
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+       "  ((5, 0, -2, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
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+       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
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+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
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+       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  {'transposition': (-1, -1, 0, 1),\n",
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+       "    (-2, 0, 0, 1): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
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+       "    (-1, 1, 0, 0): {'destination': (2, 1, 0, -1), 'cent_difference': 0},\n",
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+       "  {'transposition': (3, 0, 0, -1),\n",
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+       "    (2, 1, 0, -1): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((4, -1, -1, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
+       "  {'transposition': (-4, 1, 1, 0),\n",
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+       "  {'transposition': (4, -1, -1, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
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+       "  ((4, -1, -1, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
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+       "     'cent_difference': -590.2237155956096}}}),\n",
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+       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
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+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((4, -1, -1, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
+       "  {'transposition': (-1, 1, 0, 0),\n",
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+       " (((4, -1, -1, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
+       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (1, -1, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(4, -1, -1, 0): {'destination': (3, 0, -1, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 0, 1)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
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+       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
+       "    (2, -1, 0, 0): {'destination': (-2, 0, 0, 1),\n",
+       "     'cent_difference': 470.78090733451245}}}),\n",
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+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
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+       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
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+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
+       "    (-1, 1, 0, 0): {'destination': (4, -2, 0, 0),\n",
+       "     'cent_difference': 294.1349974038377}}}),\n",
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+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
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+       "   'is_directly_tunable': False,\n",
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+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
+       "  {'transposition': (-2, 1, 0, 0),\n",
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+       "   'is_directly_tunable': False,\n",
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+       "     'cent_difference': -1200.0}}}),\n",
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+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (2, -1, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
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+       "    (2, -1, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-3, 1, 1, 0)),\n",
+       "  {'transposition': (2, 0, -1, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
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+       "    (-1, 1, 0, 0): {'destination': (-3, 1, 1, 0), 'cent_difference': 0},\n",
+       "    (2, -1, 0, 0): {'destination': (0, 0, 0, 0),\n",
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+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (-2, 0, 1, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(-2, 0, 1, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-3, 1, 1, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((0, 0, 0, 0), (-2, 0, 0, 1), (-4, 1, 0, 1)),\n",
+       "  {'transposition': (4, -1, 0, -1),\n",
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+       "   'is_directly_tunable': False,\n",
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+       "    (0, 0, 0, 0): {'destination': (-4, 1, 0, 1), 'cent_difference': 0},\n",
+       "    (-1, 1, 0, 0): {'destination': (0, 0, 0, 0),\n",
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+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (-4, 1, 0, 1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(-2, 0, 0, 1): {'destination': (2, -1, 0, 0),\n",
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+       "    (-4, 1, 0, 1): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((4, -1, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
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+       "   'is_directly_tunable': False,\n",
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+       "    (-1, 1, 0, 0): {'destination': (4, -1, -1, 0),\n",
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+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
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+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
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+       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
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+       "  {'transposition': (0, 0, 0, 0),\n",
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+       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  {'transposition': (2, -1, 0, 0),\n",
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+       "    (-1, 1, 0, 0): {'destination': (-3, 2, 0, 0), 'cent_difference': 0},\n",
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+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (-2, 1, 0, 0),\n",
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+       "    (-3, 2, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)),\n",
+       "  {'transposition': (3, -2, 0, 0),\n",
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+       "    (0, 0, 0, 0): {'destination': (-3, 2, 0, 0), 'cent_difference': 0},\n",
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+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (-3, 2, 0, 0),\n",
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+       "    (-3, 2, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((3, 0, -1, 0), (1, 1, -1, 0), (0, 0, 0, 0)),\n",
+       "  {'transposition': (-1, -1, 1, 0),\n",
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+       "    (0, 0, 0, 0): {'destination': (1, 1, -1, 0), 'cent_difference': 0},\n",
+       "    (-1, 1, 0, 0): {'destination': (0, 0, 0, 0),\n",
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+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (1, 1, -1, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
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+       "  ((5, -1, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
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+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
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+       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
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+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
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+       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
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+       "     'cent_difference': -266.87090560373747}}}),\n",
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+       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
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+       "    (-1, 1, 0, 0): {'destination': (-2, 0, 0, 1),\n",
+       "     'cent_difference': 266.87090560373747}}}),\n",
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+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
+       " (((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  ((0, 0, 0, 0), (-1, -1, 0, 1), (-2, 0, 0, 1)),\n",
+       "  {'transposition': (1, 1, 0, -1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(0, 0, 0, 0): {'destination': (-1, -1, 0, 1),\n",
+       "     'cent_difference': 0},\n",
+       "    (-1, 1, 0, 0): {'destination': (-2, 0, 0, 1), 'cent_difference': 0},\n",
+       "    (2, -1, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': -764.91590473835}}}),\n",
+       " (((0, 0, 0, 0), (-1, -1, 0, 1), (-2, 0, 0, 1)),\n",
+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (-1, -1, 0, 1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(-1, -1, 0, 1): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-2, 0, 0, 1): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
+       " (((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
+       "    (2, -1, 0, 0): {'destination': (-2, 0, 1, 0),\n",
+       "     'cent_difference': -111.73128526977763}}}),\n",
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+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
+       " (((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  ((3, 0, 0, -1), (2, 1, 0, -1), (0, 0, 0, 0)),\n",
+       "  {'transposition': (-3, 0, 0, 1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(0, 0, 0, 0): {'destination': (3, 0, 0, -1),\n",
+       "     'cent_difference': 0},\n",
+       "    (-1, 1, 0, 0): {'destination': (2, 1, 0, -1), 'cent_difference': 0},\n",
+       "    (2, -1, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': -729.2190926654876}}}),\n",
+       " (((3, 0, 0, -1), (2, 1, 0, -1), (0, 0, 0, 0)),\n",
+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (3, 0, 0, -1),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(3, 0, 0, -1): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (2, 1, 0, -1): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
+       " (((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  ((4, -1, -1, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
+       "  {'transposition': (-4, 1, 1, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(0, 0, 0, 0): {'destination': (4, -1, -1, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-1, 1, 0, 0): {'destination': (3, 0, -1, 0), 'cent_difference': 0},\n",
+       "    (2, -1, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': -609.7762844043903}}}),\n",
+       " (((4, -1, -1, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (4, -1, -1, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(4, -1, -1, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (3, 0, -1, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((0, 0, 0, 0), (-2, 0, 0, 1), (-5, 0, 1, 1)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(-2, 0, 0, 1): {'destination': (-2, 0, 0, 1),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
+       "    (-1, 1, 0, 0): {'destination': (-5, 0, 1, 1),\n",
+       "     'cent_difference': -546.8153805314276}}}),\n",
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+       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 0, 1)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(-2, 0, 0, 1): {'destination': (-2, 0, 0, 1),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-3, 1, 1, 0)),\n",
+       "  {'transposition': (2, 0, -1, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(0, 0, 0, 0): {'destination': (-2, 0, 1, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-1, 1, 0, 0): {'destination': (-3, 1, 1, 0), 'cent_difference': 0},\n",
+       "    (-2, 0, 0, 1): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': -1355.1396203339596}}}),\n",
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+       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 0, 1)),\n",
+       "  {'transposition': (-2, 0, 1, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(-2, 0, 1, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-3, 1, 1, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((0, 0, 0, 0), (-2, 0, 0, 1), (-4, 1, 0, 1)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
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+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
+       "    (-1, 1, 0, 0): {'destination': (-4, 1, 0, 1),\n",
+       "     'cent_difference': -231.17409353087504}}}),\n",
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+       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 0, 1)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(-2, 0, 0, 1): {'destination': (-2, 0, 0, 1),\n",
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+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
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+       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
+       "    (-2, 0, 0, 1): {'destination': (-3, 2, 0, 0),\n",
+       "     'cent_difference': -764.91590473835}}}),\n",
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+       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 0, 1)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
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+       "   'is_directly_tunable': True,\n",
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+       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((1, 1, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
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+       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
+       "    (-2, 0, 0, 1): {'destination': (1, 1, -1, 0),\n",
+       "     'cent_difference': -653.184619468572}}}),\n",
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+       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 0, 1)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
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+       "   'is_directly_tunable': True,\n",
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+       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 1, 1, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
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+       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
+       "    (-2, 0, 0, 1): {'destination': (-3, 1, 1, 0),\n",
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+       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 0, 1)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
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+       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  {'transposition': (0, 0, 0, 0),\n",
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+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 0, 1)),\n",
+       "  {'transposition': (1, -1, 0, 0),\n",
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+       "    (0, 0, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
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+       "  {'transposition': (0, 0, 0, 0),\n",
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+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  ((3, 0, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
+       "  {'transposition': (-4, 1, 0, 1),\n",
+       "   'symmetric_difference': 2,\n",
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+       "    (-1, 1, 0, 0): {'destination': (3, 0, 0, -1), 'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
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+       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 0, 1)),\n",
+       "  {'transposition': (4, -1, 0, -1),\n",
+       "   'symmetric_difference': 2,\n",
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+       "    (3, 0, 0, -1): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
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+       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
+       "    (-2, 0, 0, 1): {'destination': (3, 0, 0, -1),\n",
+       "     'cent_difference': -737.6518129382499}}}),\n",
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+       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 0, 1)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
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+       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  {'transposition': (0, 0, 0, 0),\n",
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+       "    (-1, 1, 0, 0): {'destination': (2, -1, 0, 0),\n",
+       "     'cent_difference': -203.91000173077498}}}),\n",
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+       "  {'transposition': (0, 0, 0, 0),\n",
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+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
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+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
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+       "    (0, 0, 0, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0}}}),\n",
+       " (((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, -1, 0, 1)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
+       "    (4, -2, 0, 0): {'destination': (-1, -1, 0, 1),\n",
+       "     'cent_difference': -729.2190926654878}}}),\n",
+       " (((2, -1, 0, 0), (0, 0, 0, 0), (-1, -1, 0, 1)),\n",
+       "  ((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
+       " (((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, -1, 0, 1)),\n",
+       "  {'transposition': (2, -1, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(4, -2, 0, 0): {'destination': (2, -1, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (2, -1, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (-1, -1, 0, 1),\n",
+       "     'cent_difference': 764.9159047383499}}}),\n",
+       " (((2, -1, 0, 0), (0, 0, 0, 0), (-1, -1, 0, 1)),\n",
+       "  ((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
+       "  {'transposition': (-2, 1, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(2, -1, 0, 0): {'destination': (4, -2, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0}}}),\n",
+       " (((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
+       "  ((3, 0, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
+       "    (4, -2, 0, 0): {'destination': (3, 0, 0, -1),\n",
+       "     'cent_difference': -764.9159047383502}}}),\n",
+       " (((3, 0, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
+       "  ((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
+       " (((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
+       "  ((3, 0, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
+       "  {'transposition': (2, -1, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(4, -2, 0, 0): {'destination': (2, -1, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (2, -1, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (3, 0, 0, -1),\n",
+       "     'cent_difference': 729.2190926654876}}}),\n",
+       " (((3, 0, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
+       "  ((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
+       "  {'transposition': (-2, 1, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(2, -1, 0, 0): {'destination': (4, -2, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0}}}),\n",
+       " (((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
+       "    (4, -2, 0, 0): {'destination': (-2, 0, 0, 1),\n",
+       "     'cent_difference': -27.264091800100232}}}),\n",
+       " (((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
+       "  ((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
+       " (((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
+       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
+       "  {'transposition': (2, -1, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(4, -2, 0, 0): {'destination': (2, -1, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (2, -1, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (-2, 0, 0, 1),\n",
+       "     'cent_difference': 1466.8709056037371}}}),\n",
+       " (((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
+       "  ((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
+       "  {'transposition': (-2, 1, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(2, -1, 0, 0): {'destination': (4, -2, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0}}}),\n",
+       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-4, 0, 2, 0)),\n",
+       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-3, 1, 1, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
+       "    (-4, 0, 2, 0): {'destination': (-3, 1, 1, 0),\n",
+       "     'cent_difference': 315.64128700055255}}}),\n",
+       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-3, 1, 1, 0)),\n",
+       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-4, 0, 2, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
+       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-4, 0, 2, 0)),\n",
+       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-3, 1, 1, 0)),\n",
+       "  {'transposition': (-2, 0, 1, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(-4, 0, 2, 0): {'destination': (-2, 0, 1, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-2, 0, 1, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (-3, 1, 1, 0),\n",
+       "     'cent_difference': 1474.582428595057}}}),\n",
+       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-3, 1, 1, 0)),\n",
+       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-4, 0, 2, 0)),\n",
+       "  {'transposition': (2, 0, -1, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(-2, 0, 1, 0): {'destination': (-4, 0, 2, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
+       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-4, 0, 2, 0)),\n",
+       "  ((4, -1, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
+       "  {'transposition': (-4, 1, 1, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(0, 0, 0, 0): {'destination': (4, -1, -1, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-2, 0, 1, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0},\n",
+       "    (-4, 0, 2, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': -884.3587129994474}}}),\n",
+       " (((4, -1, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
+       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-4, 0, 2, 0)),\n",
+       "  {'transposition': (4, -1, -1, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(4, -1, -1, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (2, -1, 0, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
+       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-4, 0, 2, 0)),\n",
+       "  ((4, -1, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
+       "  {'transposition': (-6, 1, 2, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(-4, 0, 2, 0): {'destination': (2, -1, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-2, 0, 1, 0): {'destination': (4, -1, -1, 0), 'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 274.582428595057}}}),\n",
+       " (((4, -1, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
+       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-4, 0, 2, 0)),\n",
+       "  {'transposition': (6, -1, -2, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(2, -1, 0, 0): {'destination': (-4, 0, 2, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (4, -1, -1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
+       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-4, 0, 2, 0)),\n",
+       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
+       "  {'transposition': (-2, 0, 1, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(-4, 0, 2, 0): {'destination': (-2, 0, 1, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-2, 0, 1, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (3, 0, 0, -1),\n",
+       "     'cent_difference': 617.4878073957096}}}),\n",
+       " (((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
+       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-4, 0, 2, 0)),\n",
+       "  {'transposition': (2, 0, -1, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': False,\n",
+       "   'movements': {(-2, 0, 1, 0): {'destination': (-4, 0, 2, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (0, 0, 0, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
+       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-4, 0, 2, 0)),\n",
+       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
+       "    (-4, 0, 2, 0): {'destination': (3, 0, 0, -1),\n",
+       "     'cent_difference': -541.4533341987947}}}),\n",
+       " (((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
+       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-4, 0, 2, 0)),\n",
+       "  {'transposition': (0, 0, 0, 0),\n",
+       "   'symmetric_difference': 2,\n",
+       "   'is_directly_tunable': True,\n",
+       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
+       "     'cent_difference': 0},\n",
+       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
+       " ...]"
       ]
      },
-     "execution_count": 144,
+     "execution_count": 121,
      "metadata": {},
      "output_type": "execute_result"
     }
    ],
    "source": [
-    "len(graph.nodes)"
+    "list(edges(chord_set, 2, 2, 3))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 61,
+   "id": "baf0040d-0743-47e7-af74-c356036991bf",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "Timer unit: 1e-09 s\n",
+       "\n",
+       "Total time: 0.24754 s\n",
+       "File: /tmp/ipykernel_510889/3883039038.py\n",
+       "Function: edges at line 55\n",
+       "\n",
+       "Line #      Hits         Time  Per Hit   % Time  Line Contents\n",
+       "==============================================================\n",
+       "    55                                           def edges(chords, min_symdiff, max_symdiff, max_chord_size):            \n",
+       "    56         1  247540447.0    2e+08    100.0      return list(chain(*[e for c in combinations(chords, 2) if (e := edge_data(c, min_symdiff, max_symdiff, max_chord_size)) is not None]))"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "lprun -f edges edges(chord_set, 2, 2, 3)"
    ]
   }
  ],