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TMIDIX.py

@@ -1761,7 +1761,8 @@ def plot_ms_SONG(ms_song,
                   plot_size=(11,4), 
                   note_height = 0.75,
                   show_grid_lines=False,
-                  return_plt = False
+                  return_plt = False,
+                  timings_multiplier=1
                   ):
 
   '''Tegridy ms SONG plotter/vizualizer'''
@@ -1774,15 +1775,15 @@ def plot_ms_SONG(ms_song,
 
   else:
 
-    start_times = [s[1] / 1000 for s in notes]
-    durations = [s[2] / 1000 for s in notes]
+    start_times = [(s[1] * timings_multiplier) / 1000 for s in notes]
+    durations = [(s[2]  * timings_multiplier) / 1000 for s in notes]
     pitches = [s[4] for s in notes]
     patches = [s[6] for s in notes]
 
     colors = generate_colors(max_num_colors)
     colors[drums_color_num] = (1, 1, 1)
 
-    pbl = notes[preview_length_in_notes][1] / 1000
+    pbl = (notes[preview_length_in_notes][1] * timings_multiplier) / 1000
 
     fig, ax = plt.subplots(figsize=plot_size)
     #fig, ax = plt.subplots()
@@ -1927,7 +1928,7 @@ def Tegridy_Any_Pickle_File_Writer(Data, input_file_name='TMIDI_Pickle_File'):
 
 ###################################################################################
 
-def Tegridy_Any_Pickle_File_Reader(input_file_name='TMIDI_Pickle_File', ext='.pickle'):
+def Tegridy_Any_Pickle_File_Reader(input_file_name='TMIDI_Pickle_File', ext='.pickle', verbose=True):
 
   '''Tegridy Pickle File Loader
      
@@ -1939,12 +1940,16 @@ def Tegridy_Any_Pickle_File_Reader(input_file_name='TMIDI_Pickle_File', ext='.pi
   Project Los Angeles
   Tegridy Code 2021'''
 
-  print('Tegridy Pickle File Loader')
-  print('Loading the pickle file. Please wait...')
+  if verbose:
+    print('Tegridy Pickle File Loader')
+    print('Loading the pickle file. Please wait...')
 
   with open(input_file_name + ext, 'rb') as pickle_file:
     content = pickle.load(pickle_file)
 
+  if verbose:
+    print('Done!')
+
   return content
 
 ###################################################################################
@@ -5091,6 +5096,1301 @@ def delta_score_notes(score_notes,
 
 ###################################################################################
 
+def check_and_fix_chords_in_chordified_score(chordified_score,
+                                             channels_index=3,
+                                             pitches_index=4
+                                             ):
+  fixed_chordified_score = []
+
+  bad_chords_counter = 0
+
+  for c in chordified_score:
+
+    tones_chord = sorted(set([t[pitches_index] % 12 for t in c if t[channels_index] != 9]))
+
+    if tones_chord:
+
+        if tones_chord not in ALL_CHORDS_SORTED:
+          bad_chords_counter += 1
+
+        while tones_chord not in ALL_CHORDS_SORTED:
+          tones_chord.pop(0)
+
+    new_chord = []
+
+    c.sort(key = lambda x: x[pitches_index], reverse=True)
+
+    for e in c:
+      if e[channels_index] != 9:
+        if e[pitches_index] % 12 in tones_chord:
+          new_chord.append(e)
+
+      else:
+        new_chord.append(e)
+
+    fixed_chordified_score.append(new_chord)
+
+  return fixed_chordified_score, bad_chords_counter
+
+###################################################################################
+
+from itertools import combinations, groupby
+
+###################################################################################
+
+def advanced_check_and_fix_chords_in_chordified_score(chordified_score,
+                                                      channels_index=3,
+                                                      pitches_index=4,
+                                                      patches_index=6,
+                                                      use_filtered_chords=True,
+                                                      remove_duplicate_pitches=True,
+                                                      skip_drums=False
+                                                      ):
+  fixed_chordified_score = []
+
+  bad_chords_counter = 0
+  duplicate_pitches_counter = 0
+
+  if use_filtered_chords:
+    CHORDS = ALL_CHORDS_FILTERED
+  else:
+    CHORDS = ALL_CHORDS_SORTED
+
+  for c in chordified_score:
+
+    if remove_duplicate_pitches:
+
+      c.sort(key = lambda x: x[pitches_index], reverse=True)
+
+      seen = set()
+      ddchord = []
+
+      for cc in c:
+        if cc[channels_index] != 9:
+
+          if tuple([cc[pitches_index], cc[patches_index]]) not in seen:
+            ddchord.append(cc)
+            seen.add(tuple([cc[pitches_index], cc[patches_index]]))
+          else:
+            duplicate_pitches_counter += 1
+        
+        else:
+          ddchord.append(cc)
+      
+      c = copy.deepcopy(ddchord)
+      
+    tones_chord = sorted(set([t[pitches_index] % 12 for t in c if t[channels_index] != 9]))
+
+    if tones_chord:
+
+        if tones_chord not in CHORDS:
+          
+          pitches_chord = sorted(set([p[pitches_index] for p in c if p[channels_index] != 9]), reverse=True)
+          
+          if len(tones_chord) == 2:
+            tones_counts = Counter([p % 12 for p in pitches_chord]).most_common()
+
+            if tones_counts[0][1] > 1:
+              tones_chord = [tones_counts[0][0]]
+            elif tones_counts[1][1] > 1:
+              tones_chord = [tones_counts[1][0]]
+            else:
+              tones_chord = [pitches_chord[0] % 12]
+
+          else:
+            tones_chord_combs = [list(comb) for i in range(len(tones_chord)-2, 0, -1) for comb in combinations(tones_chord, i+1)]
+
+            for co in tones_chord_combs:
+              if co in CHORDS:
+                tones_chord = co
+                break
+
+          bad_chords_counter += 1
+
+    new_chord = []
+
+    c.sort(key = lambda x: x[pitches_index], reverse=True)
+
+    for e in c:
+      if e[channels_index] != 9:
+        if e[pitches_index] % 12 in tones_chord:
+          new_chord.append(e)
+
+      else:
+        if not skip_drums:
+          new_chord.append(e)
+
+    fixed_chordified_score.append(new_chord)
+
+  return fixed_chordified_score, bad_chords_counter, duplicate_pitches_counter
+
+###################################################################################
+
+def score_chord_to_tones_chord(chord,
+                               transpose_value=0,
+                               channels_index=3,
+                               pitches_index=4):
+
+  return sorted(set([(p[4]+transpose_value) % 12 for p in chord if p[channels_index] != 9]))
+
+###################################################################################
+
+def grouped_set(seq):
+  return [k for k, v in groupby(seq)]
+
+###################################################################################
+
+def ordered_set(seq):
+  dic = {}
+  return [k for k, v in dic.fromkeys(seq).items()]
+
+###################################################################################
+
+def add_melody_to_enhanced_score_notes(enhanced_score_notes,
+                                      melody_start_time=0,
+                                      melody_start_chord=0,
+                                      melody_notes_min_duration=-1,
+                                      melody_notes_max_duration=255,
+                                      melody_duration_overlap_tolerance=4,
+                                      melody_avg_duration_divider=2,
+                                      melody_base_octave=5,
+                                      melody_channel=3,
+                                      melody_patch=40,
+                                      melody_max_velocity=110,
+                                      acc_max_velocity=90,
+                                      pass_drums=True
+                                      ):
+  
+    if pass_drums:
+      score = copy.deepcopy(enhanced_score_notes)
+    else:
+      score = [e for e in copy.deepcopy(enhanced_score_notes) if e[3] !=9]
+
+    if melody_notes_min_duration > 0:
+      min_duration = melody_notes_min_duration
+    else:
+      durs = [d[2] for d in score]
+      min_duration = Counter(durs).most_common()[0][0]
+
+    adjust_score_velocities(score, acc_max_velocity)
+
+    cscore = chordify_score([1000, score])
+
+    melody_score = []
+    acc_score = []
+
+    pt = melody_start_time
+
+    for c in cscore[:melody_start_chord]:
+      acc_score.extend(c)
+
+    for c in cscore[melody_start_chord:]:
+
+      durs = [d[2] if d[3] != 9 else -1 for d in c]
+
+      if not all(d == -1 for d in durs):
+        ndurs = [d for d in durs if d != -1]
+        avg_dur = (sum(ndurs) / len(ndurs)) / melody_avg_duration_divider
+        best_dur = min(durs, key=lambda x:abs(x-avg_dur))
+        pidx = durs.index(best_dur)
+
+        cc = copy.deepcopy(c[pidx])
+
+        if c[0][1] >= pt - melody_duration_overlap_tolerance and best_dur >= min_duration:
+
+          cc[3] = melody_channel
+          cc[4] = (c[pidx][4] % 24)
+          cc[5] = 100 + ((c[pidx][4] % 12) * 2)
+          cc[6] = melody_patch
+
+          melody_score.append(cc)
+          acc_score.extend(c)
+
+          pt = c[0][1]+c[pidx][2]
+
+        else:
+          acc_score.extend(c)
+
+      else:
+        acc_score.extend(c)
+
+    values = [e[4] % 24 for e in melody_score]
+    smoothed = [values[0]]
+    for i in range(1, len(values)):
+        if abs(smoothed[-1] - values[i]) >= 12:
+            if smoothed[-1] < values[i]:
+                smoothed.append(values[i] - 12)
+            else:
+                smoothed.append(values[i] + 12)
+        else:
+            smoothed.append(values[i])
+
+    smoothed_melody = copy.deepcopy(melody_score)
+
+    for i, e in enumerate(smoothed_melody):
+      e[4] = (melody_base_octave * 12) + smoothed[i]
+
+    for i, m in enumerate(smoothed_melody[1:]):
+      if m[1] - smoothed_melody[i][1] < melody_notes_max_duration:
+        smoothed_melody[i][2] = m[1] - smoothed_melody[i][1]
+
+    adjust_score_velocities(smoothed_melody, melody_max_velocity)
+
+    final_score = sorted(smoothed_melody + acc_score, key=lambda x: (x[1], -x[4]))
+
+    return final_score
+    
+###################################################################################
+
+def find_paths(list_of_lists, path=[]):
+    if not list_of_lists:
+        return [path]
+    return [p for sublist in list_of_lists[0] for p in find_paths(list_of_lists[1:], path+[sublist])]
+
+###################################################################################
+
+def recalculate_score_timings(score, start_time=0):
+
+  rscore = copy.deepcopy(score)
+
+  pe = rscore[0]
+
+  abs_time = start_time
+
+  for e in rscore:
+
+    dtime = e[1] - pe[1]
+    pe = copy.deepcopy(e)
+    abs_time += dtime
+    e[1] = abs_time
+    
+  return rscore
+
+###################################################################################
+
+WHITE_NOTES = [0, 2, 4, 5, 7, 9, 11]
+BLACK_NOTES = [1, 3, 6, 8, 10]
+
+###################################################################################
+
+ALL_CHORDS_FILTERED = [[0], [0, 3], [0, 3, 5], [0, 3, 5, 8], [0, 3, 5, 9], [0, 3, 5, 10], [0, 3, 7],
+                      [0, 3, 7, 10], [0, 3, 8], [0, 3, 9], [0, 3, 10], [0, 4], [0, 4, 6],
+                      [0, 4, 6, 9], [0, 4, 6, 10], [0, 4, 7], [0, 4, 7, 10], [0, 4, 8], [0, 4, 9],
+                      [0, 4, 10], [0, 5], [0, 5, 8], [0, 5, 9], [0, 5, 10], [0, 6], [0, 6, 9],
+                      [0, 6, 10], [0, 7], [0, 7, 10], [0, 8], [0, 9], [0, 10], [1], [1, 4],
+                      [1, 4, 6], [1, 4, 6, 9], [1, 4, 6, 10], [1, 4, 6, 11], [1, 4, 7],
+                      [1, 4, 7, 10], [1, 4, 7, 11], [1, 4, 8], [1, 4, 8, 11], [1, 4, 9], [1, 4, 10],
+                      [1, 4, 11], [1, 5], [1, 5, 8], [1, 5, 8, 11], [1, 5, 9], [1, 5, 10],
+                      [1, 5, 11], [1, 6], [1, 6, 9], [1, 6, 10], [1, 6, 11], [1, 7], [1, 7, 10],
+                      [1, 7, 11], [1, 8], [1, 8, 11], [1, 9], [1, 10], [1, 11], [2], [2, 5],
+                      [2, 5, 8], [2, 5, 8, 11], [2, 5, 9], [2, 5, 10], [2, 5, 11], [2, 6], [2, 6, 9],
+                      [2, 6, 10], [2, 6, 11], [2, 7], [2, 7, 10], [2, 7, 11], [2, 8], [2, 8, 11],
+                      [2, 9], [2, 10], [2, 11], [3], [3, 5], [3, 5, 8], [3, 5, 8, 11], [3, 5, 9],
+                      [3, 5, 10], [3, 5, 11], [3, 7], [3, 7, 10], [3, 7, 11], [3, 8], [3, 8, 11],
+                      [3, 9], [3, 10], [3, 11], [4], [4, 6], [4, 6, 9], [4, 6, 10], [4, 6, 11],
+                      [4, 7], [4, 7, 10], [4, 7, 11], [4, 8], [4, 8, 11], [4, 9], [4, 10], [4, 11],
+                      [5], [5, 8], [5, 8, 11], [5, 9], [5, 10], [5, 11], [6], [6, 9], [6, 10],
+                      [6, 11], [7], [7, 10], [7, 11], [8], [8, 11], [9], [10], [11]]
+
+###################################################################################
+
+def harmonize_enhanced_melody_score_notes(enhanced_melody_score_notes):
+  
+  mel_tones = [e[4] % 12 for e in enhanced_melody_score_notes]
+
+  cur_chord = []
+
+  song = []
+
+  for i, m in enumerate(mel_tones):
+    cur_chord.append(m)
+    cc = sorted(set(cur_chord))
+
+    if cc in ALL_CHORDS_FILTERED:
+      song.append(cc)
+
+    else:
+      while sorted(set(cur_chord)) not in ALL_CHORDS_FILTERED:
+        cur_chord.pop(0)
+      cc = sorted(set(cur_chord))
+      song.append(cc)
+
+  return song
+
+###################################################################################
+
+def split_melody(enhanced_melody_score_notes, 
+                 split_time=-1, 
+                 max_score_time=255
+                 ):
+
+  mel_chunks = []
+
+  if split_time == -1:
+
+    durs = [max(0, min(max_score_time, e[2])) for e in enhanced_melody_score_notes]
+    stime = max(durs)
+    
+  else:
+    stime = split_time
+
+  pe = enhanced_melody_score_notes[0]
+  chu = []
+  
+  for e in enhanced_melody_score_notes:
+    dtime = max(0, min(max_score_time, e[1]-pe[1]))
+
+    if dtime > max(durs):
+      if chu:
+        mel_chunks.append(chu)
+      chu = []
+      chu.append(e)
+    else:
+      chu.append(e)
+
+    pe = e
+
+  if chu:
+    mel_chunks.append(chu)
+
+  return mel_chunks, [[m[0][1], m[-1][1]] for m in mel_chunks], len(mel_chunks)
+
+###################################################################################
+
+def flatten(list_of_lists):
+  return [x for y in list_of_lists for x in y]
+
+###################################################################################
+
+def enhanced_delta_score_notes(enhanced_score_notes,
+                               start_time=0,
+                               max_score_time=255
+                               ):
+
+  delta_score = []
+
+  pe = ['note', max(0, enhanced_score_notes[0][1]-start_time)]
+
+  for e in enhanced_score_notes:
+
+    dtime = max(0, min(max_score_time, e[1]-pe[1]))
+    dur = max(1, min(max_score_time, e[2]))
+    cha = max(0, min(15, e[3]))
+    ptc = max(1, min(127, e[4]))
+    vel = max(1, min(127, e[5]))
+    pat = max(0, min(128, e[6]))
+
+    delta_score.append([dtime, dur, cha, ptc, vel, pat])
+
+    pe = e
+
+  return delta_score
+
+###################################################################################
+
+def basic_enhanced_delta_score_notes_tokenizer(enhanced_delta_score_notes,
+                                              tokenize_start_times=True,
+                                              tokenize_durations=True,
+                                              tokenize_channels=True,
+                                              tokenize_pitches=True,
+                                              tokenize_velocities=True,
+                                              tokenize_patches=True,
+                                              score_timings_range=256,
+                                              max_seq_len=-1,
+                                              seq_pad_value=-1
+                                              ):
+  
+  
+  
+  score_tokens_ints_seq = []
+
+  tokens_shifts = [-1] * 7
+
+  for d in enhanced_delta_score_notes:
+
+    seq = []
+    shift = 0
+
+    if tokenize_start_times:
+      seq.append(d[0])
+      tokens_shifts[0] = shift
+      shift += score_timings_range
+
+    if tokenize_durations:
+      seq.append(d[1]+shift)
+      tokens_shifts[1] = shift
+      shift += score_timings_range
+
+    if tokenize_channels:
+      tokens_shifts[2] = shift
+      seq.append(d[2]+shift)
+      shift += 16
+    
+    if tokenize_pitches:
+      tokens_shifts[3] = shift
+      seq.append(d[3]+shift)
+      shift += 128
+    
+    if tokenize_velocities:
+      tokens_shifts[4] = shift
+      seq.append(d[4]+shift)
+      shift += 128
+
+    if tokenize_patches:
+      tokens_shifts[5] = shift
+      seq.append(d[5]+shift)
+      shift += 129
+
+    tokens_shifts[6] = shift
+    score_tokens_ints_seq.append(seq)
+
+  final_score_tokens_ints_seq = flatten(score_tokens_ints_seq)
+
+  if max_seq_len > -1:
+    final_score_tokens_ints_seq = flat_score_tokens_ints_seq[:max_seq_len]
+
+  if seq_pad_value > -1:
+    final_score_tokens_ints_seq += [seq_pad_value] * (max_seq_len - len(final_score_tokens_ints_seq))
+
+  return [score_tokens_ints_seq,
+          final_score_tokens_ints_seq, 
+          tokens_shifts,
+          seq_pad_value, 
+          max_seq_len,
+          len(score_tokens_ints_seq),
+          len(final_score_tokens_ints_seq)
+          ]
+
+###################################################################################
+
+def basic_enhanced_delta_score_notes_detokenizer(tokenized_seq, 
+                                                 tokens_shifts, 
+                                                 timings_multiplier=16
+                                                 ):
+
+  song_f = []
+
+  time = 0
+  dur = 16
+  channel = 0
+  pitch = 60
+  vel = 90
+  pat = 0
+
+  note_seq_len = len([t for t in tokens_shifts if t > -1])-1
+  tok_shifts_idxs = [i for i in range(len(tokens_shifts[:-1])) if tokens_shifts[i] > - 1]
+
+  song = []
+
+  for i in range(0, len(tokenized_seq), note_seq_len):
+    note = tokenized_seq[i:i+note_seq_len]
+    song.append(note)
+
+  for note in song:
+    for i, idx in enumerate(tok_shifts_idxs):
+      if idx == 0:
+        time += (note[i]-tokens_shifts[0]) * timings_multiplier
+      elif idx == 1:
+        dur = (note[i]-tokens_shifts[1]) * timings_multiplier
+      elif idx == 2:
+        channel = (note[i]-tokens_shifts[2])
+      elif idx == 3:
+        pitch = (note[i]-tokens_shifts[3])
+      elif idx == 4:
+        vel = (note[i]-tokens_shifts[4])
+      elif idx == 5:
+        pat = (note[i]-tokens_shifts[5])
+
+    song_f.append(['note', time, dur, channel, pitch, vel, pat ])
+
+  return song_f
+
+###################################################################################
+
+def enhanced_chord_to_chord_token(enhanced_chord, 
+                                  channels_index=3, 
+                                  pitches_index=4, 
+                                  use_filtered_chords=True
+                                  ):
+  
+  bad_chords_counter = 0
+  duplicate_pitches_counter = 0
+
+  if use_filtered_chords:
+    CHORDS = ALL_CHORDS_FILTERED
+  else:
+    CHORDS = ALL_CHORDS_SORTED
+
+  tones_chord = sorted(set([t[pitches_index] % 12 for t in enhanced_chord if t[channels_index] != 9]))
+
+  original_tones_chord = copy.deepcopy(tones_chord)
+
+  if tones_chord:
+
+      if tones_chord not in CHORDS:
+        
+        pitches_chord = sorted(set([p[pitches_index] for p in enhanced_chord if p[channels_index] != 9]), reverse=True)
+        
+        if len(tones_chord) == 2:
+          tones_counts = Counter([p % 12 for p in pitches_chord]).most_common()
+
+          if tones_counts[0][1] > 1:
+            tones_chord = [tones_counts[0][0]]
+          elif tones_counts[1][1] > 1:
+            tones_chord = [tones_counts[1][0]]
+          else:
+            tones_chord = [pitches_chord[0] % 12]
+
+        else:
+          tones_chord_combs = [list(comb) for i in range(len(tones_chord)-2, 0, -1) for comb in combinations(tones_chord, i+1)]
+
+          for co in tones_chord_combs:
+            if co in CHORDS:
+              tones_chord = co
+              break
+
+  if use_filtered_chords:
+    chord_token = ALL_CHORDS_FILTERED.index(tones_chord)
+  else:
+    chord_token = ALL_CHORDS_SORTED.index(tones_chord)
+
+  return [chord_token, tones_chord, original_tones_chord, sorted(set(original_tones_chord) ^ set(tones_chord))]
+
+###################################################################################
+
+def enhanced_chord_to_tones_chord(enhanced_chord):
+  return sorted(set([t[4] % 12 for t in enhanced_chord if t[3] != 9]))
+
+###################################################################################
+
+import hashlib
+
+###################################################################################
+
+def md5_hash(file_path_or_data=None, original_md5_hash=None):
+
+  if type(file_path_or_data) == str:
+
+    with open(file_path_or_data, 'rb') as file_to_check:
+      data = file_to_check.read()
+      
+      if data:
+        md5 = hashlib.md5(data).hexdigest()
+
+  else:
+    if file_path_or_data:
+      md5 = hashlib.md5(file_path_or_data).hexdigest()
+
+  if md5:
+
+    if original_md5_hash:
+
+      if md5 == original_md5_hash:
+        check = True
+      else:
+        check = False
+        
+    else:
+      check = None
+
+    return [md5, check]
+
+  else:
+
+    md5 = None
+    check = None
+
+    return [md5, check]
+
+###################################################################################
+
+ALL_PITCHES_CHORDS_FILTERED = [[67], [64], [62], [69], [60], [65], [59], [70], [66], [63], [68], [61],
+                              [64, 60], [67, 64], [65, 62], [62, 59], [69, 65], [60, 57], [66, 62], [59, 55],
+                              [62, 57], [67, 62], [64, 59], [64, 60, 55], [60, 55], [65, 60], [64, 61],
+                              [69, 64], [66, 62, 57], [69, 66], [62, 59, 55], [64, 60, 57], [62, 58],
+                              [65, 60, 57], [70, 67], [67, 63], [64, 61, 57], [61, 57], [63, 60], [68, 64],
+                              [65, 62, 58], [65, 62, 57], [59, 56], [63, 58], [68, 65], [59, 54, 47, 35],
+                              [70, 65], [66, 61], [64, 59, 56], [65, 61], [64, 59, 55], [63, 59], [61, 58],
+                              [68, 63], [60, 56], [67, 63, 60], [67, 63, 58], [66, 62, 59], [61, 56],
+                              [70, 66], [67, 62, 58], [63, 60, 56], [65, 61, 56], [66, 61, 58], [66, 61, 57],
+                              [65, 60, 56], [65, 61, 58], [65, 59], [68, 64, 61], [66, 60], [64, 58],
+                              [62, 56], [63, 57], [61, 55], [66, 64], [60, 58], [65, 63], [63, 59, 56],
+                              [65, 62, 59], [61, 59], [66, 60, 57], [64, 61, 55], [64, 58, 55], [62, 59, 56],
+                              [64, 60, 58], [63, 60, 57], [64, 60, 58, 55], [65, 62, 56], [64, 61, 58],
+                              [66, 64, 59], [60, 58, 55], [65, 63, 60], [63, 57, 53], [65, 63, 60, 57],
+                              [65, 59, 56], [63, 60, 58, 55], [67, 61, 58], [64, 61, 57, 54], [64, 61, 59],
+                              [70, 65, 60], [68, 65, 63, 60], [63, 60, 58], [65, 63, 58], [69, 66, 64],
+                              [64, 60, 54], [64, 60, 57, 54], [66, 64, 61], [66, 61, 59], [67, 63, 59],
+                              [65, 61, 57], [68, 65, 63], [64, 61, 59, 56], [65, 61, 59], [66, 64, 61, 58],
+                              [64, 61, 58, 55], [64, 60, 56], [65, 61, 59, 56], [66, 62, 58], [61, 59, 56],
+                              [64, 58, 54], [63, 59, 53], [65, 62, 59, 56], [61, 59, 55], [64, 61, 59, 55],
+                              [68, 65, 63, 59], [70, 66, 60], [65, 63, 60, 58], [64, 61, 59, 54],
+                              [70, 64, 60, 54]]
+
+###################################################################################
+
+ALL_PITCHES_CHORDS_SORTED = [[60], [62, 60], [63, 60], [64, 60], [64, 62, 60], [65, 60], [65, 62, 60],
+                            [65, 63, 60], [66, 60], [66, 62, 60], [66, 63, 60], [64, 60, 54],
+                            [64, 60, 54, 50], [60, 55], [67, 62, 60], [67, 63, 60], [64, 60, 55],
+                            [65, 60, 55], [64, 62, 60, 55], [67, 65, 62, 60], [67, 65, 63, 60], [60, 56],
+                            [62, 60, 56], [63, 60, 56], [64, 60, 56], [65, 60, 56], [66, 60, 56],
+                            [72, 68, 64, 62], [65, 62, 60, 56], [66, 62, 60, 56], [68, 65, 63, 60],
+                            [68, 66, 63, 60], [60, 44, 42, 40], [88, 80, 74, 66, 60, 56], [60, 57],
+                            [62, 60, 57], [63, 60, 57], [64, 60, 57], [65, 60, 57], [66, 60, 57],
+                            [67, 60, 57], [64, 62, 60, 57], [65, 62, 60, 57], [69, 66, 62, 60],
+                            [67, 62, 60, 57], [65, 63, 60, 57], [66, 63, 60, 57], [67, 63, 60, 57],
+                            [64, 60, 57, 54], [67, 64, 60, 57], [67, 65, 60, 57], [69, 64, 60, 54, 38],
+                            [67, 64, 62, 60, 57], [67, 65, 62, 60, 57], [67, 65, 63, 60, 57], [60, 58],
+                            [62, 60, 58], [63, 60, 58], [64, 60, 58], [70, 65, 60], [70, 66, 60],
+                            [60, 58, 55], [70, 60, 56], [74, 64, 60, 58], [65, 62, 60, 58],
+                            [70, 66, 62, 60], [62, 60, 58, 55], [72, 68, 62, 58], [65, 63, 60, 58],
+                            [70, 66, 63, 60], [63, 60, 58, 55], [70, 63, 60, 56], [70, 64, 60, 54],
+                            [64, 60, 58, 55], [68, 64, 60, 58], [65, 60, 58, 55], [70, 65, 60, 56],
+                            [70, 66, 60, 56], [78, 76, 74, 72, 70, 66], [67, 64, 62, 58, 36],
+                            [74, 68, 64, 58, 48], [65, 62, 58, 55, 36], [65, 62, 60, 56, 46],
+                            [72, 66, 62, 56, 46], [79, 65, 63, 58, 53, 36], [65, 60, 56, 51, 46, 41],
+                            [70, 66, 63, 60, 44], [68, 66, 64, 58, 56, 48],
+                            [94, 92, 90, 88, 86, 84, 82, 80, 78, 76, 74, 72, 70, 68, 66, 64, 62, 60, 58,
+                              56, 54, 52, 50, 48, 46, 44, 42, 40, 38, 36, 34, 32, 30, 28, 26, 24],
+                            [61], [63, 61], [64, 61], [65, 61], [65, 63, 61], [66, 61], [66, 63, 61],
+                            [66, 64, 61], [61, 55], [67, 63, 61], [64, 61, 55], [65, 61, 55],
+                            [65, 61, 55, 39], [61, 56], [63, 61, 56], [68, 64, 61], [65, 61, 56],
+                            [66, 61, 56], [68, 65, 63, 61], [54, 49, 44, 39], [68, 64, 61, 42], [61, 57],
+                            [63, 61, 57], [64, 61, 57], [65, 61, 57], [66, 61, 57], [67, 61, 57],
+                            [69, 65, 63, 61], [66, 63, 61, 57], [67, 63, 61, 57], [64, 61, 57, 54],
+                            [67, 64, 61, 57], [65, 61, 55, 45], [67, 65, 63, 61, 57], [61, 58],
+                            [63, 61, 58], [64, 61, 58], [65, 61, 58], [66, 61, 58], [67, 61, 58],
+                            [61, 58, 56], [65, 63, 61, 58], [66, 63, 61, 58], [67, 63, 61, 58],
+                            [63, 61, 58, 56], [66, 64, 61, 58], [64, 61, 58, 55], [68, 64, 61, 58],
+                            [65, 61, 58, 55], [65, 61, 58, 56], [58, 54, 49, 44], [70, 65, 61, 55, 39],
+                            [80, 68, 65, 63, 61, 58], [63, 58, 54, 49, 44, 39], [73, 68, 64, 58, 54],
+                            [61, 59], [63, 61, 59], [64, 61, 59], [65, 61, 59], [66, 61, 59], [61, 59, 55],
+                            [61, 59, 56], [61, 59, 57], [63, 59, 53, 49], [66, 63, 61, 59],
+                            [71, 67, 63, 61], [63, 61, 59, 56], [61, 57, 51, 47], [64, 61, 59, 54],
+                            [64, 61, 59, 55], [64, 61, 59, 56], [64, 61, 59, 57], [65, 61, 59, 55],
+                            [65, 61, 59, 56], [69, 65, 61, 59], [66, 61, 59, 56], [71, 66, 61, 57],
+                            [71, 67, 61, 57], [67, 63, 59, 53, 49], [68, 65, 63, 59, 37],
+                            [65, 63, 61, 59, 57], [66, 63, 61, 59, 56], [73, 69, 66, 63, 59],
+                            [79, 75, 73, 61, 59, 33], [61, 56, 52, 47, 42, 35], [76, 73, 69, 66, 35],
+                            [71, 67, 64, 61, 57], [73, 71, 69, 67, 65],
+                            [95, 93, 91, 89, 87, 85, 83, 81, 79, 77, 75, 73, 71, 69, 67, 65, 63, 61, 59,
+                              57, 55, 53, 51, 49, 47, 45, 43, 41, 39, 37, 35, 33, 31, 29, 27, 25],
+                            [62], [64, 62], [65, 62], [66, 62], [66, 64, 62], [67, 62], [67, 64, 62],
+                            [67, 65, 62], [62, 56], [68, 64, 62], [65, 62, 56], [66, 62, 56],
+                            [66, 62, 56, 52], [62, 57], [50, 45, 40], [65, 62, 57], [66, 62, 57],
+                            [55, 50, 45], [66, 64, 62, 57], [55, 50, 45, 40], [69, 67, 65, 62], [62, 58],
+                            [64, 62, 58], [65, 62, 58], [66, 62, 58], [67, 62, 58], [62, 58, 56],
+                            [66, 64, 62, 58], [67, 64, 62, 58], [64, 62, 58, 56], [65, 62, 58, 55],
+                            [65, 62, 58, 56], [66, 62, 58, 56], [66, 64, 58, 44, 38], [62, 59],
+                            [64, 62, 59], [65, 62, 59], [66, 62, 59], [62, 59, 55], [62, 59, 56],
+                            [62, 59, 57], [66, 64, 62, 59], [67, 64, 62, 59], [64, 62, 59, 56],
+                            [64, 62, 59, 57], [67, 65, 62, 59], [65, 62, 59, 56], [69, 65, 62, 59],
+                            [66, 62, 59, 56], [69, 66, 62, 59], [59, 55, 50, 45], [64, 62, 59, 56, 54],
+                            [69, 66, 62, 59, 40], [64, 59, 55, 50, 45, 40], [69, 65, 62, 59, 55], [63],
+                            [65, 63], [66, 63], [67, 63], [67, 65, 63], [68, 63], [68, 65, 63],
+                            [68, 66, 63], [63, 57], [63, 57, 53], [66, 63, 57], [67, 63, 57],
+                            [67, 63, 57, 53], [63, 58], [65, 63, 58], [66, 63, 58], [67, 63, 58],
+                            [68, 63, 58], [67, 65, 63, 58], [63, 58, 56, 53], [70, 68, 66, 63], [63, 59],
+                            [63, 59, 53], [66, 63, 59], [67, 63, 59], [63, 59, 56], [63, 59, 57],
+                            [63, 59, 55, 53], [68, 65, 63, 59], [69, 65, 63, 59], [66, 63, 59, 56],
+                            [66, 63, 59, 57], [67, 63, 59, 57], [67, 63, 59, 57, 41], [64], [66, 64],
+                            [67, 64], [68, 64], [68, 66, 64], [69, 64], [69, 66, 64], [69, 67, 64],
+                            [64, 58], [64, 58, 54], [64, 58, 55], [68, 64, 58], [68, 64, 58, 42], [64, 59],
+                            [66, 64, 59], [64, 59, 55], [64, 59, 56], [64, 59, 57], [64, 59, 56, 54],
+                            [64, 59, 57, 54], [69, 64, 59, 55], [65], [67, 65], [68, 65], [69, 65],
+                            [69, 67, 65], [70, 65], [65, 58, 55], [70, 68, 65], [65, 59], [65, 59, 55],
+                            [65, 59, 56], [59, 57, 53], [69, 65, 59, 55], [66], [68, 66], [69, 66],
+                            [70, 66], [80, 70, 54], [59, 54, 47, 35], [66, 59, 56], [71, 69, 66], [67],
+                            [69, 67], [70, 67], [59, 55], [71, 69, 67], [68], [70, 68], [59, 56], [69],
+                            [71, 69], [70], [59]]
+
+###################################################################################
+
+def sort_list_by_other(list1, list2):
+    return sorted(list1, key=lambda x: list2.index(x) if x in list2 else len(list2))
+
+###################################################################################
+
+ALL_CHORDS_PAIRS_SORTED = [[[0], [0, 4, 7]], [[0, 2], [0, 4, 7]], [[0, 3], [0, 3, 7]],
+                          [[0, 4], [0, 4, 7]], [[0, 2, 4], [0, 2, 4, 7]], [[0, 5], [0, 5, 9]],
+                          [[0, 2, 5], [0, 2, 5, 9]], [[0, 3, 5], [0, 3, 5, 9]], [[0, 6], [0, 2, 6, 9]],
+                          [[0, 2, 6], [0, 2, 6, 9]], [[0, 3, 6], [0, 3, 6, 8]],
+                          [[0, 4, 6], [0, 4, 6, 9]], [[0, 2, 4, 6], [0, 2, 4, 6, 9]],
+                          [[0, 7], [0, 4, 7]], [[0, 2, 7], [0, 2, 4, 7]], [[0, 3, 7], [0, 3, 7, 10]],
+                          [[0, 4, 7], [0, 4, 7, 9]], [[0, 5, 7], [0, 5, 7, 9]],
+                          [[0, 2, 4, 7], [0, 2, 4, 7, 9]], [[0, 2, 5, 7], [0, 2, 5, 7, 9]],
+                          [[0, 3, 5, 7], [0, 3, 5, 7, 10]], [[0, 8], [0, 3, 8]],
+                          [[0, 2, 8], [0, 2, 5, 8]], [[0, 3, 8], [0, 3, 5, 8]],
+                          [[0, 4, 8], [2, 4, 8, 11]], [[0, 5, 8], [0, 3, 5, 8]],
+                          [[0, 6, 8], [0, 3, 6, 8]], [[0, 2, 4, 8], [0, 2, 4, 6, 8]],
+                          [[0, 2, 5, 8], [0, 2, 5, 8, 10]], [[0, 2, 6, 8], [0, 2, 6, 8, 10]],
+                          [[0, 3, 5, 8], [0, 3, 5, 8, 10]], [[0, 3, 6, 8], [0, 3, 6, 8, 10]],
+                          [[0, 4, 6, 8], [2, 4, 6, 8, 11]], [[0, 2, 4, 6, 8], [2, 4, 6, 8, 11]],
+                          [[0, 9], [0, 4, 9]], [[0, 2, 9], [0, 2, 6, 9]], [[0, 3, 9], [0, 3, 5, 9]],
+                          [[0, 4, 9], [0, 4, 7, 9]], [[0, 5, 9], [0, 2, 5, 9]],
+                          [[0, 6, 9], [0, 2, 6, 9]], [[0, 7, 9], [0, 4, 7, 9]],
+                          [[0, 2, 4, 9], [0, 2, 4, 7, 9]], [[0, 2, 5, 9], [0, 2, 5, 7, 9]],
+                          [[0, 2, 6, 9], [0, 2, 4, 6, 9]], [[0, 2, 7, 9], [0, 2, 4, 7, 9]],
+                          [[0, 3, 5, 9], [0, 3, 5, 7, 9]], [[0, 3, 6, 9], [0, 2, 4, 6, 9]],
+                          [[0, 3, 7, 9], [0, 3, 5, 7, 9]], [[0, 4, 6, 9], [0, 2, 4, 6, 9]],
+                          [[0, 4, 7, 9], [0, 2, 4, 7, 9]], [[0, 5, 7, 9], [0, 2, 5, 7, 9]],
+                          [[0, 2, 4, 6, 9], [2, 4, 6, 9, 11]], [[0, 2, 4, 7, 9], [2, 4, 7, 9, 11]],
+                          [[0, 2, 5, 7, 9], [2, 5, 7, 9, 11]], [[0, 3, 5, 7, 9], [2, 4, 6, 8, 11]],
+                          [[0, 10], [2, 5, 10]], [[0, 2, 10], [0, 2, 5, 10]],
+                          [[0, 3, 10], [0, 3, 7, 10]], [[0, 4, 10], [0, 4, 7, 10]],
+                          [[0, 5, 10], [0, 2, 5, 10]], [[0, 6, 10], [0, 3, 6, 10]],
+                          [[0, 7, 10], [0, 4, 7, 10]], [[0, 8, 10], [0, 3, 8, 10]],
+                          [[0, 2, 4, 10], [0, 2, 4, 7, 10]], [[0, 2, 5, 10], [0, 2, 5, 7, 10]],
+                          [[0, 2, 6, 10], [0, 2, 6, 8, 10]], [[0, 2, 7, 10], [0, 2, 5, 7, 10]],
+                          [[0, 2, 8, 10], [0, 2, 5, 8, 10]], [[0, 3, 5, 10], [0, 3, 5, 7, 10]],
+                          [[0, 3, 6, 10], [0, 3, 6, 8, 10]], [[0, 3, 7, 10], [0, 3, 5, 7, 10]],
+                          [[0, 3, 8, 10], [0, 3, 5, 8, 10]], [[0, 4, 6, 10], [0, 2, 4, 6, 10]],
+                          [[0, 4, 7, 10], [0, 2, 4, 7, 10]], [[0, 4, 8, 10], [0, 2, 4, 8, 10]],
+                          [[0, 5, 7, 10], [0, 3, 5, 7, 10]], [[0, 5, 8, 10], [0, 3, 5, 8, 10]],
+                          [[0, 6, 8, 10], [0, 3, 6, 8, 10]], [[0, 2, 4, 6, 10], [0, 2, 4, 8, 10]],
+                          [[0, 2, 4, 7, 10], [1, 3, 6, 9, 11]], [[0, 2, 4, 8, 10], [1, 3, 7, 9, 11]],
+                          [[0, 2, 5, 7, 10], [0, 3, 5, 7, 10]], [[0, 2, 5, 8, 10], [1, 4, 7, 9, 11]],
+                          [[0, 2, 6, 8, 10], [2, 4, 6, 8, 10]], [[0, 3, 5, 7, 10], [0, 2, 5, 7, 10]],
+                          [[0, 3, 5, 8, 10], [1, 3, 5, 8, 10]], [[0, 3, 6, 8, 10], [1, 3, 6, 8, 10]],
+                          [[0, 4, 6, 8, 10], [0, 2, 4, 6, 9]],
+                          [[0, 2, 4, 6, 8, 10], [1, 3, 5, 7, 9, 11]], [[1], [1, 8]], [[1, 3], [1, 5, 8]],
+                          [[1, 4], [1, 4, 9]], [[1, 5], [1, 5, 8]], [[1, 3, 5], [1, 3, 5, 10]],
+                          [[1, 6], [1, 6, 10]], [[1, 3, 6], [1, 3, 6, 10]], [[1, 4, 6], [1, 4, 6, 9]],
+                          [[1, 7], [1, 4, 7]], [[1, 3, 7], [1, 3, 7, 10]], [[1, 4, 7], [1, 4, 7, 9]],
+                          [[1, 5, 7], [1, 5, 7, 10]], [[1, 3, 5, 7], [1, 3, 5, 7, 10]],
+                          [[1, 8], [1, 5, 8]], [[1, 3, 8], [1, 3, 5, 8]], [[1, 4, 8], [1, 4, 8, 11]],
+                          [[1, 5, 8], [1, 5, 8, 10]], [[1, 6, 8], [1, 3, 6, 8]],
+                          [[1, 3, 5, 8], [1, 3, 5, 8, 10]], [[1, 3, 6, 8], [1, 3, 6, 8, 10]],
+                          [[1, 4, 6, 8], [1, 4, 6, 8, 11]], [[1, 9], [1, 4, 9]],
+                          [[1, 3, 9], [1, 3, 6, 9]], [[1, 4, 9], [1, 4, 6, 9]],
+                          [[1, 5, 9], [0, 3, 5, 9]], [[1, 6, 9], [1, 4, 6, 9]],
+                          [[1, 7, 9], [1, 4, 7, 9]], [[1, 3, 5, 9], [0, 3, 5, 7, 9]],
+                          [[1, 3, 6, 9], [1, 3, 6, 9, 11]], [[1, 3, 7, 9], [1, 3, 5, 7, 9]],
+                          [[1, 4, 6, 9], [1, 4, 6, 9, 11]], [[1, 4, 7, 9], [1, 4, 7, 9, 11]],
+                          [[1, 5, 7, 9], [1, 3, 7, 9, 11]], [[1, 3, 5, 7, 9], [2, 4, 6, 8, 11]],
+                          [[1, 10], [1, 5, 10]], [[1, 3, 10], [1, 3, 7, 10]],
+                          [[1, 4, 10], [1, 4, 6, 10]], [[1, 5, 10], [1, 5, 8, 10]],
+                          [[1, 6, 10], [1, 4, 6, 10]], [[1, 7, 10], [1, 3, 7, 10]],
+                          [[1, 8, 10], [1, 5, 8, 10]], [[1, 3, 5, 10], [1, 3, 5, 8, 10]],
+                          [[1, 3, 6, 10], [1, 3, 6, 8, 10]], [[1, 3, 7, 10], [1, 3, 5, 7, 10]],
+                          [[1, 3, 8, 10], [1, 3, 5, 8, 10]], [[1, 4, 6, 10], [1, 4, 6, 8, 10]],
+                          [[1, 4, 7, 10], [0, 2, 4, 7, 10]], [[1, 4, 8, 10], [1, 4, 6, 8, 10]],
+                          [[1, 5, 7, 10], [1, 3, 5, 7, 10]], [[1, 5, 8, 10], [1, 3, 5, 8, 10]],
+                          [[1, 6, 8, 10], [1, 3, 6, 8, 10]], [[1, 3, 5, 7, 10], [2, 4, 6, 8, 11]],
+                          [[1, 3, 5, 8, 10], [0, 3, 5, 8, 10]], [[1, 3, 6, 8, 10], [0, 3, 6, 8, 10]],
+                          [[1, 4, 6, 8, 10], [0, 3, 5, 7, 9]], [[1, 11], [2, 6, 11]],
+                          [[1, 3, 11], [1, 3, 6, 11]], [[1, 4, 11], [1, 4, 8, 11]],
+                          [[1, 5, 11], [1, 5, 8, 11]], [[1, 6, 11], [1, 4, 6, 11]],
+                          [[1, 7, 11], [1, 4, 7, 11]], [[1, 8, 11], [1, 4, 8, 11]],
+                          [[1, 9, 11], [1, 4, 9, 11]], [[1, 3, 5, 11], [1, 3, 5, 8, 11]],
+                          [[1, 3, 6, 11], [1, 3, 6, 8, 11]], [[1, 3, 7, 11], [1, 3, 7, 9, 11]],
+                          [[1, 3, 8, 11], [1, 3, 6, 8, 11]], [[1, 3, 9, 11], [1, 3, 6, 9, 11]],
+                          [[1, 4, 6, 11], [1, 4, 6, 9, 11]], [[1, 4, 7, 11], [1, 4, 7, 9, 11]],
+                          [[1, 4, 8, 11], [1, 4, 6, 8, 11]], [[1, 4, 9, 11], [1, 4, 6, 9, 11]],
+                          [[1, 5, 7, 11], [0, 4, 6, 8, 10]], [[1, 5, 8, 11], [1, 3, 5, 8, 11]],
+                          [[1, 5, 9, 11], [1, 5, 7, 9, 11]], [[1, 6, 8, 11], [1, 3, 6, 8, 11]],
+                          [[1, 6, 9, 11], [1, 4, 6, 9, 11]], [[1, 7, 9, 11], [1, 4, 7, 9, 11]],
+                          [[1, 3, 5, 7, 11], [0, 2, 4, 6, 8]], [[1, 3, 5, 8, 11], [0, 2, 4, 7, 10]],
+                          [[1, 3, 5, 9, 11], [1, 3, 7, 9, 11]], [[1, 3, 6, 8, 11], [1, 4, 6, 8, 11]],
+                          [[1, 3, 6, 9, 11], [0, 2, 5, 8, 10]], [[1, 3, 7, 9, 11], [1, 3, 6, 9, 11]],
+                          [[1, 4, 6, 8, 11], [1, 4, 6, 9, 11]], [[1, 4, 6, 9, 11], [2, 4, 6, 9, 11]],
+                          [[1, 4, 7, 9, 11], [2, 4, 7, 9, 11]], [[1, 5, 7, 9, 11], [2, 4, 7, 9, 11]],
+                          [[1, 3, 5, 7, 9, 11], [0, 2, 4, 6, 8, 10]], [[2], [2, 9]], [[2, 4], [2, 6, 9]],
+                          [[2, 5], [2, 5, 9]], [[2, 6], [2, 6, 9]], [[2, 4, 6], [2, 4, 6, 9]],
+                          [[2, 7], [2, 7, 11]], [[2, 4, 7], [2, 4, 7, 11]], [[2, 5, 7], [2, 5, 7, 11]],
+                          [[2, 8], [4, 8, 11]], [[2, 4, 8], [2, 4, 8, 11]], [[2, 5, 8], [2, 5, 8, 10]],
+                          [[2, 6, 8], [2, 6, 8, 11]], [[2, 4, 6, 8], [2, 4, 6, 8, 11]],
+                          [[2, 9], [2, 6, 9]], [[2, 4, 9], [2, 4, 6, 9]], [[2, 5, 9], [0, 2, 5, 9]],
+                          [[2, 6, 9], [2, 6, 9, 11]], [[2, 7, 9], [2, 7, 9, 11]],
+                          [[2, 4, 6, 9], [2, 4, 6, 9, 11]], [[2, 4, 7, 9], [2, 4, 7, 9, 11]],
+                          [[2, 5, 7, 9], [0, 2, 5, 7, 9]], [[2, 10], [2, 5, 10]],
+                          [[2, 4, 10], [2, 4, 7, 10]], [[2, 5, 10], [2, 5, 7, 10]],
+                          [[2, 6, 10], [1, 4, 6, 10]], [[2, 7, 10], [2, 5, 7, 10]],
+                          [[2, 8, 10], [2, 5, 8, 10]], [[2, 4, 6, 10], [0, 2, 4, 6, 10]],
+                          [[2, 4, 7, 10], [0, 2, 4, 7, 10]], [[2, 4, 8, 10], [2, 4, 7, 9, 11]],
+                          [[2, 5, 7, 10], [0, 2, 5, 7, 10]], [[2, 5, 8, 10], [0, 2, 5, 8, 10]],
+                          [[2, 6, 8, 10], [1, 3, 5, 7, 10]], [[2, 4, 6, 8, 10], [0, 2, 6, 8, 10]],
+                          [[2, 11], [2, 7, 11]], [[2, 4, 11], [2, 4, 8, 11]],
+                          [[2, 5, 11], [2, 5, 7, 11]], [[2, 6, 11], [2, 6, 9, 11]],
+                          [[2, 7, 11], [2, 4, 7, 11]], [[2, 8, 11], [2, 4, 8, 11]],
+                          [[2, 9, 11], [2, 6, 9, 11]], [[2, 4, 6, 11], [2, 4, 6, 9, 11]],
+                          [[2, 4, 7, 11], [2, 4, 7, 9, 11]], [[2, 4, 8, 11], [2, 4, 6, 8, 11]],
+                          [[2, 4, 9, 11], [2, 4, 7, 9, 11]], [[2, 5, 7, 11], [2, 5, 7, 9, 11]],
+                          [[2, 5, 8, 11], [1, 3, 5, 8, 11]], [[2, 5, 9, 11], [2, 5, 7, 9, 11]],
+                          [[2, 6, 8, 11], [2, 4, 6, 8, 11]], [[2, 6, 9, 11], [2, 4, 6, 9, 11]],
+                          [[2, 7, 9, 11], [2, 4, 7, 9, 11]], [[2, 4, 6, 8, 11], [2, 4, 6, 9, 11]],
+                          [[2, 4, 6, 9, 11], [2, 4, 7, 9, 11]], [[2, 4, 7, 9, 11], [0, 2, 4, 7, 9]],
+                          [[2, 5, 7, 9, 11], [2, 4, 7, 9, 11]], [[3], [3, 10]], [[3, 5], [3, 7, 10]],
+                          [[3, 6], [3, 6, 11]], [[3, 7], [3, 7, 10]], [[3, 5, 7], [3, 5, 7, 10]],
+                          [[3, 8], [0, 3, 8]], [[3, 5, 8], [0, 3, 5, 8]], [[3, 6, 8], [0, 3, 6, 8]],
+                          [[3, 9], [0, 3, 9]], [[3, 5, 9], [0, 3, 5, 9]], [[3, 6, 9], [3, 6, 9, 11]],
+                          [[3, 7, 9], [0, 3, 7, 9]], [[3, 5, 7, 9], [0, 3, 5, 7, 9]],
+                          [[3, 10], [3, 7, 10]], [[3, 5, 10], [3, 5, 7, 10]],
+                          [[3, 6, 10], [1, 3, 6, 10]], [[3, 7, 10], [0, 3, 7, 10]],
+                          [[3, 8, 10], [0, 3, 8, 10]], [[3, 5, 7, 10], [0, 3, 5, 7, 10]],
+                          [[3, 5, 8, 10], [0, 3, 5, 8, 10]], [[3, 6, 8, 10], [1, 3, 6, 8, 10]],
+                          [[3, 11], [3, 6, 11]], [[3, 5, 11], [3, 5, 8, 11]],
+                          [[3, 6, 11], [3, 6, 9, 11]], [[3, 7, 11], [2, 5, 7, 11]],
+                          [[3, 8, 11], [3, 6, 8, 11]], [[3, 9, 11], [3, 6, 9, 11]],
+                          [[3, 5, 7, 11], [3, 5, 7, 9, 11]], [[3, 5, 8, 11], [1, 3, 5, 8, 11]],
+                          [[3, 5, 9, 11], [3, 5, 7, 9, 11]], [[3, 6, 8, 11], [1, 3, 6, 8, 11]],
+                          [[3, 6, 9, 11], [1, 3, 6, 9, 11]], [[3, 7, 9, 11], [2, 4, 7, 9, 11]],
+                          [[3, 5, 7, 9, 11], [2, 5, 7, 9, 11]], [[4], [4, 11]], [[4, 6], [4, 7, 11]],
+                          [[4, 7], [0, 4, 7]], [[4, 8], [4, 8, 11]], [[4, 6, 8], [4, 6, 8, 11]],
+                          [[4, 9], [1, 4, 9]], [[4, 6, 9], [1, 4, 6, 9]], [[4, 7, 9], [1, 4, 7, 9]],
+                          [[4, 10], [4, 7, 10]], [[4, 6, 10], [1, 4, 6, 10]],
+                          [[4, 7, 10], [0, 4, 7, 10]], [[4, 8, 10], [1, 4, 8, 10]],
+                          [[4, 6, 8, 10], [1, 4, 6, 8, 10]], [[4, 11], [4, 8, 11]],
+                          [[4, 6, 11], [4, 6, 8, 11]], [[4, 7, 11], [2, 4, 7, 11]],
+                          [[4, 8, 11], [2, 4, 8, 11]], [[4, 9, 11], [2, 4, 9, 11]],
+                          [[4, 6, 8, 11], [1, 4, 6, 8, 11]], [[4, 6, 9, 11], [2, 4, 6, 9, 11]],
+                          [[4, 7, 9, 11], [2, 4, 7, 9, 11]], [[5], [0, 5, 9]], [[5, 7], [0, 4, 7]],
+                          [[5, 8], [0, 5, 8]], [[5, 9], [0, 5, 9]], [[5, 7, 9], [0, 4, 7, 9]],
+                          [[5, 10], [2, 5, 10]], [[5, 7, 10], [2, 5, 7, 10]],
+                          [[5, 8, 10], [2, 5, 8, 10]], [[5, 11], [0, 5, 9]], [[5, 7, 11], [2, 5, 7, 11]],
+                          [[5, 8, 11], [1, 5, 8, 11]], [[5, 9, 11], [2, 5, 9, 11]],
+                          [[5, 7, 9, 11], [2, 5, 7, 9, 11]], [[6], [1, 6]], [[6, 8], [1, 5, 8]],
+                          [[6, 9], [2, 6, 9]], [[6, 10], [1, 6, 10]], [[6, 8, 10], [1, 5, 8, 10]],
+                          [[6, 11], [3, 6, 11]], [[6, 8, 11], [3, 6, 8, 11]],
+                          [[6, 9, 11], [3, 6, 9, 11]], [[7], [2, 7, 11]], [[7, 9], [2, 6, 9]],
+                          [[7, 10], [2, 7, 10]], [[7, 11], [2, 7, 11]], [[7, 9, 11], [2, 7, 9, 11]],
+                          [[8], [3, 8]], [[8, 10], [3, 7, 10]], [[8, 11], [4, 8, 11]], [[9], [4, 9]],
+                          [[9, 11], [4, 8, 11]], [[10], [2, 5, 10]], [[11], [6, 11]]]
+
+###################################################################################
+
+ALL_CHORDS_PAIRS_FILTERED = [[[0], [0, 4, 7]], [[0, 3], [0, 3, 7]], [[0, 3, 5], [0, 3, 5, 9]],
+                            [[0, 3, 5, 8], [0, 3, 7, 10]], [[0, 3, 5, 9], [0, 3, 7, 10]],
+                            [[0, 3, 5, 10], [0, 3, 5, 9]], [[0, 3, 7], [0, 3, 7, 10]],
+                            [[0, 3, 7, 10], [0, 3, 5, 9]], [[0, 3, 8], [0, 3, 5, 8]],
+                            [[0, 3, 9], [0, 3, 5, 9]], [[0, 3, 10], [0, 3, 7, 10]], [[0, 4], [0, 4, 7]],
+                            [[0, 4, 6], [0, 4, 6, 9]], [[0, 4, 6, 9], [1, 4, 6, 9]],
+                            [[0, 4, 6, 10], [0, 4, 7, 10]], [[0, 4, 7], [0, 4, 7, 10]],
+                            [[0, 4, 7, 10], [1, 4, 7, 10]], [[0, 4, 8], [0, 4, 7, 10]],
+                            [[0, 4, 9], [0, 4, 6, 9]], [[0, 4, 10], [0, 4, 7, 10]], [[0, 5], [0, 5, 9]],
+                            [[0, 5, 8], [0, 3, 5, 8]], [[0, 5, 9], [0, 3, 5, 9]],
+                            [[0, 5, 10], [0, 3, 5, 10]], [[0, 6], [0, 6, 9]], [[0, 6, 9], [0, 4, 6, 9]],
+                            [[0, 6, 10], [0, 4, 7, 10]], [[0, 7], [0, 4, 7]], [[0, 7, 10], [0, 4, 7, 10]],
+                            [[0, 8], [0, 3, 8]], [[0, 9], [0, 4, 9]], [[0, 10], [2, 5, 10]], [[1], [1, 8]],
+                            [[1, 4], [1, 4, 9]], [[1, 4, 6], [1, 4, 6, 9]], [[1, 4, 6, 9], [1, 4, 8, 11]],
+                            [[1, 4, 6, 10], [0, 3, 5, 9]], [[1, 4, 6, 11], [1, 4, 6, 9]],
+                            [[1, 4, 7], [1, 4, 7, 10]], [[1, 4, 7, 10], [0, 4, 7, 10]],
+                            [[1, 4, 7, 11], [1, 4, 6, 10]], [[1, 4, 8], [1, 4, 8, 11]],
+                            [[1, 4, 8, 11], [1, 4, 6, 9]], [[1, 4, 9], [1, 4, 6, 9]],
+                            [[1, 4, 10], [1, 4, 6, 10]], [[1, 4, 11], [1, 4, 8, 11]], [[1, 5], [1, 5, 8]],
+                            [[1, 5, 8], [1, 5, 8, 11]], [[1, 5, 8, 11], [2, 5, 8, 11]],
+                            [[1, 5, 9], [0, 3, 5, 9]], [[1, 5, 10], [0, 4, 7, 10]],
+                            [[1, 5, 11], [1, 5, 8, 11]], [[1, 6], [1, 6, 10]], [[1, 6, 9], [1, 4, 6, 9]],
+                            [[1, 6, 10], [1, 4, 6, 10]], [[1, 6, 11], [1, 4, 6, 11]], [[1, 7], [1, 4, 7]],
+                            [[1, 7, 10], [1, 4, 7, 10]], [[1, 7, 11], [1, 4, 7, 11]], [[1, 8], [1, 5, 8]],
+                            [[1, 8, 11], [1, 4, 8, 11]], [[1, 9], [1, 4, 9]], [[1, 10], [1, 5, 10]],
+                            [[1, 11], [2, 6, 11]], [[2], [2, 9]], [[2, 5], [2, 5, 9]],
+                            [[2, 5, 8], [2, 5, 8, 11]], [[2, 5, 8, 11], [1, 4, 7, 10]],
+                            [[2, 5, 9], [0, 3, 5, 9]], [[2, 5, 10], [0, 3, 5, 9]],
+                            [[2, 5, 11], [2, 5, 8, 11]], [[2, 6], [2, 6, 9]], [[2, 6, 9], [1, 4, 6, 9]],
+                            [[2, 6, 10], [1, 4, 6, 10]], [[2, 6, 11], [1, 4, 6, 10]], [[2, 7], [2, 7, 11]],
+                            [[2, 7, 10], [0, 4, 7, 10]], [[2, 7, 11], [1, 4, 6, 9]], [[2, 8], [4, 8, 11]],
+                            [[2, 8, 11], [2, 5, 8, 11]], [[2, 9], [2, 6, 9]], [[2, 10], [2, 5, 10]],
+                            [[2, 11], [2, 7, 11]], [[3], [3, 10]], [[3, 5], [3, 7, 10]],
+                            [[3, 5, 8], [0, 3, 5, 8]], [[3, 5, 8, 11], [2, 5, 8, 11]],
+                            [[3, 5, 9], [0, 3, 5, 9]], [[3, 5, 10], [0, 3, 5, 10]],
+                            [[3, 5, 11], [3, 5, 8, 11]], [[3, 7], [3, 7, 10]], [[3, 7, 10], [0, 3, 7, 10]],
+                            [[3, 7, 11], [0, 3, 7, 10]], [[3, 8], [0, 3, 8]], [[3, 8, 11], [3, 5, 8, 11]],
+                            [[3, 9], [0, 3, 9]], [[3, 10], [3, 7, 10]], [[3, 11], [3, 8, 11]],
+                            [[4], [4, 11]], [[4, 6], [4, 7, 11]], [[4, 6, 9], [1, 4, 6, 9]],
+                            [[4, 6, 10], [1, 4, 6, 10]], [[4, 6, 11], [1, 4, 6, 11]], [[4, 7], [0, 4, 7]],
+                            [[4, 7, 10], [0, 4, 7, 10]], [[4, 7, 11], [1, 4, 7, 11]], [[4, 8], [4, 8, 11]],
+                            [[4, 8, 11], [1, 4, 8, 11]], [[4, 9], [1, 4, 9]], [[4, 10], [4, 7, 10]],
+                            [[4, 11], [4, 8, 11]], [[5], [0, 5, 9]], [[5, 8], [0, 5, 8]],
+                            [[5, 8, 11], [1, 5, 8, 11]], [[5, 9], [0, 5, 9]], [[5, 10], [2, 5, 10]],
+                            [[5, 11], [0, 5, 9]], [[6], [1, 6]], [[6, 9], [2, 6, 9]],
+                            [[6, 10], [1, 6, 10]], [[6, 11], [2, 6, 11]], [[7], [2, 7, 11]],
+                            [[7, 10], [2, 7, 10]], [[7, 11], [2, 7, 11]], [[8], [3, 8]],
+                            [[8, 11], [4, 8, 11]], [[9], [4, 9]], [[10], [2, 5, 10]], [[11], [6, 11]]]
+
+###################################################################################
+
+ALL_CHORDS_TRIPLETS_SORTED = [[[0], [0, 4, 7], [0]], [[0, 2], [0, 4, 7], [0]], [[0, 3], [0, 3, 7], [0]],
+                              [[0, 4], [0, 4, 7], [0, 4]], [[0, 2, 4], [0, 2, 4, 7], [0]],
+                              [[0, 5], [0, 5, 9], [0, 5]], [[0, 2, 5], [0, 2, 5, 9], [0, 2, 5]],
+                              [[0, 3, 5], [0, 3, 5, 9], [0, 3, 5]], [[0, 6], [0, 2, 6, 9], [2]],
+                              [[0, 2, 6], [0, 2, 6, 9], [0, 2, 6]], [[0, 3, 6], [0, 3, 6, 8], [0, 3, 6]],
+                              [[0, 4, 6], [0, 4, 6, 9], [0, 4, 6]],
+                              [[0, 2, 4, 6], [0, 2, 4, 6, 9], [0, 2, 4, 6]], [[0, 7], [0, 4, 7], [0, 7]],
+                              [[0, 2, 7], [0, 2, 4, 7], [0, 2, 7]], [[0, 3, 7], [0, 3, 7, 10], [0, 3, 7]],
+                              [[0, 4, 7], [0, 4, 7, 9], [0, 4, 7]], [[0, 5, 7], [0, 5, 7, 9], [0, 5, 7]],
+                              [[0, 2, 4, 7], [0, 2, 4, 7, 9], [0, 2, 4, 7]],
+                              [[0, 2, 5, 7], [0, 2, 5, 7, 9], [0, 2, 5, 7]],
+                              [[0, 3, 5, 7], [0, 3, 5, 7, 10], [0, 3, 5, 7]], [[0, 8], [0, 3, 8], [8]],
+                              [[0, 2, 8], [0, 2, 5, 8], [0, 2, 8]], [[0, 3, 8], [0, 3, 5, 8], [0, 3, 8]],
+                              [[0, 4, 8], [2, 4, 8, 11], [0, 4, 9]], [[0, 5, 8], [0, 3, 5, 8], [0, 5, 8]],
+                              [[0, 6, 8], [0, 3, 6, 8], [0, 6, 8]],
+                              [[0, 2, 4, 8], [0, 2, 4, 6, 8], [0, 2, 4, 8]],
+                              [[0, 2, 5, 8], [0, 2, 5, 8, 10], [0, 2, 5, 8]],
+                              [[0, 2, 6, 8], [0, 2, 6, 8, 10], [0, 2, 6, 8]],
+                              [[0, 3, 5, 8], [0, 3, 5, 8, 10], [0, 3, 5, 8]],
+                              [[0, 3, 6, 8], [0, 3, 6, 8, 10], [0, 3, 6, 8]],
+                              [[0, 4, 6, 8], [2, 4, 6, 8, 11], [2, 6, 8, 11]],
+                              [[0, 2, 4, 6, 8], [2, 4, 6, 8, 11], [2, 6, 8, 11]], [[0, 9], [0, 4, 9], [9]],
+                              [[0, 2, 9], [0, 2, 6, 9], [0, 2, 9]], [[0, 3, 9], [0, 3, 5, 9], [0, 3, 9]],
+                              [[0, 4, 9], [0, 4, 7, 9], [0, 4, 9]], [[0, 5, 9], [0, 2, 5, 9], [0, 5, 9]],
+                              [[0, 6, 9], [0, 2, 6, 9], [0, 6, 9]], [[0, 7, 9], [0, 4, 7, 9], [0, 7, 9]],
+                              [[0, 2, 4, 9], [0, 2, 4, 7, 9], [0, 2, 4, 9]],
+                              [[0, 2, 5, 9], [0, 2, 5, 7, 9], [0, 2, 5, 9]],
+                              [[0, 2, 6, 9], [0, 2, 4, 6, 9], [0, 2, 6, 9]],
+                              [[0, 2, 7, 9], [0, 2, 4, 7, 9], [0, 2, 7, 9]],
+                              [[0, 3, 5, 9], [0, 3, 5, 7, 9], [0, 3, 5, 9]],
+                              [[0, 3, 6, 9], [0, 2, 4, 6, 9], [4, 6, 9]],
+                              [[0, 3, 7, 9], [0, 3, 5, 7, 9], [0, 3, 7, 9]],
+                              [[0, 4, 6, 9], [0, 2, 4, 6, 9], [0, 4, 6, 9]],
+                              [[0, 4, 7, 9], [0, 2, 4, 7, 9], [0, 4, 7, 9]],
+                              [[0, 5, 7, 9], [0, 2, 5, 7, 9], [0, 5, 7, 9]],
+                              [[0, 2, 4, 6, 9], [2, 4, 6, 9, 11], [0, 2, 4, 6, 9]],
+                              [[0, 2, 4, 7, 9], [2, 4, 7, 9, 11], [0, 2, 4, 7, 9]],
+                              [[0, 2, 5, 7, 9], [2, 5, 7, 9, 11], [7]],
+                              [[0, 3, 5, 7, 9], [2, 4, 6, 8, 11], [1, 4, 6, 8, 10]],
+                              [[0, 10], [2, 5, 10], [10]], [[0, 2, 10], [0, 2, 5, 10], [10]],
+                              [[0, 3, 10], [0, 3, 7, 10], [0, 3, 10]],
+                              [[0, 4, 10], [0, 4, 7, 10], [0, 4, 10]],
+                              [[0, 5, 10], [0, 2, 5, 10], [0, 5, 10]],
+                              [[0, 6, 10], [0, 3, 6, 10], [0, 6, 10]],
+                              [[0, 7, 10], [0, 4, 7, 10], [0, 7, 10]], [[0, 8, 10], [0, 3, 8, 10], [8]],
+                              [[0, 2, 4, 10], [0, 2, 4, 7, 10], [0, 4, 10]],
+                              [[0, 2, 5, 10], [0, 2, 5, 7, 10], [0, 2, 5, 10]],
+                              [[0, 2, 6, 10], [0, 2, 6, 8, 10], [8]],
+                              [[0, 2, 7, 10], [0, 2, 5, 7, 10], [2, 7, 10]],
+                              [[0, 2, 8, 10], [0, 2, 5, 8, 10], [8, 10]],
+                              [[0, 3, 5, 10], [0, 3, 5, 7, 10], [0, 3, 5, 10]],
+                              [[0, 3, 6, 10], [0, 3, 6, 8, 10], [0, 3, 6, 10]],
+                              [[0, 3, 7, 10], [0, 3, 5, 7, 10], [0, 3, 7, 10]],
+                              [[0, 3, 8, 10], [0, 3, 5, 8, 10], [0, 3, 8, 10]],
+                              [[0, 4, 6, 10], [0, 2, 4, 6, 10], [2]],
+                              [[0, 4, 7, 10], [0, 2, 4, 7, 10], [0, 4, 7, 10]],
+                              [[0, 4, 8, 10], [0, 2, 4, 8, 10], [0, 4, 8, 10]],
+                              [[0, 5, 7, 10], [0, 3, 5, 7, 10], [0, 5, 7, 10]],
+                              [[0, 5, 8, 10], [0, 3, 5, 8, 10], [10]],
+                              [[0, 6, 8, 10], [0, 3, 6, 8, 10], [6]],
+                              [[0, 2, 4, 6, 10], [0, 2, 4, 8, 10], [0, 2, 6, 8, 10]],
+                              [[0, 2, 4, 7, 10], [1, 3, 6, 9, 11], [0, 2, 5, 8, 10]],
+                              [[0, 2, 4, 8, 10], [1, 3, 7, 9, 11], [0, 2, 6, 8, 10]],
+                              [[0, 2, 5, 7, 10], [0, 3, 5, 7, 10], [5, 10]],
+                              [[0, 2, 5, 8, 10], [1, 4, 7, 9, 11], [8]],
+                              [[0, 2, 6, 8, 10], [2, 4, 6, 8, 10], [0, 2, 6, 8, 10]],
+                              [[0, 3, 5, 7, 10], [0, 2, 5, 7, 10], [9]],
+                              [[0, 3, 5, 8, 10], [1, 3, 5, 8, 10], [0, 3, 5, 8, 10]],
+                              [[0, 3, 6, 8, 10], [1, 3, 6, 8, 10], [0, 3, 6, 8, 10]],
+                              [[0, 4, 6, 8, 10], [0, 2, 4, 6, 9], [1, 3, 5, 8, 10]],
+                              [[0, 2, 4, 6, 8, 10], [1, 3, 5, 7, 9, 11], [0, 2, 4, 6, 8, 10]],
+                              [[1], [1, 8], [1]], [[1, 3], [1, 5, 8], [1]], [[1, 4], [1, 4, 9], [9]],
+                              [[1, 5], [1, 5, 8], [1, 5]], [[1, 3, 5], [1, 3, 5, 10], [1, 3, 5]],
+                              [[1, 6], [1, 6, 10], [1, 6]], [[1, 3, 6], [1, 3, 6, 10], [1, 3, 6]],
+                              [[1, 4, 6], [1, 4, 6, 9], [1, 4, 6]], [[1, 7], [1, 4, 7], [1, 7]],
+                              [[1, 3, 7], [1, 3, 7, 10], [1, 3, 7]], [[1, 4, 7], [1, 4, 7, 9], [1, 4, 7]],
+                              [[1, 5, 7], [1, 5, 7, 10], [1, 5, 7]], [[1, 3, 5, 7], [1, 3, 5, 7, 10], [7]],
+                              [[1, 8], [1, 5, 8], [1, 8]], [[1, 3, 8], [1, 3, 5, 8], [1, 3, 8]],
+                              [[1, 4, 8], [1, 4, 8, 11], [1, 4, 8]], [[1, 5, 8], [1, 5, 8, 10], [1, 5, 8]],
+                              [[1, 6, 8], [1, 3, 6, 8], [1, 6, 8]],
+                              [[1, 3, 5, 8], [1, 3, 5, 8, 10], [1, 3, 5, 8]],
+                              [[1, 3, 6, 8], [1, 3, 6, 8, 10], [1, 3, 6, 8]],
+                              [[1, 4, 6, 8], [1, 4, 6, 8, 11], [1, 4, 6, 8]], [[1, 9], [1, 4, 9], [9]],
+                              [[1, 3, 9], [1, 3, 6, 9], [1, 3, 9]], [[1, 4, 9], [1, 4, 6, 9], [1, 4, 9]],
+                              [[1, 5, 9], [0, 3, 5, 9], [0, 5, 9]], [[1, 6, 9], [1, 4, 6, 9], [1, 6, 9]],
+                              [[1, 7, 9], [1, 4, 7, 9], [1, 7, 9]],
+                              [[1, 3, 5, 9], [0, 3, 5, 7, 9], [1, 5, 9]],
+                              [[1, 3, 6, 9], [1, 3, 6, 9, 11], [1, 3, 6, 9]],
+                              [[1, 3, 7, 9], [1, 3, 5, 7, 9], [1, 7]],
+                              [[1, 4, 6, 9], [1, 4, 6, 9, 11], [1, 4, 6, 9]],
+                              [[1, 4, 7, 9], [1, 4, 7, 9, 11], [1, 4, 7, 9]],
+                              [[1, 5, 7, 9], [1, 3, 7, 9, 11], [1, 5, 7, 9]],
+                              [[1, 3, 5, 7, 9], [2, 4, 6, 8, 11], [9]], [[1, 10], [1, 5, 10], [10]],
+                              [[1, 3, 10], [1, 3, 7, 10], [1, 3, 10]],
+                              [[1, 4, 10], [1, 4, 6, 10], [1, 4, 10]],
+                              [[1, 5, 10], [1, 5, 8, 10], [1, 5, 10]],
+                              [[1, 6, 10], [1, 4, 6, 10], [1, 6, 10]],
+                              [[1, 7, 10], [1, 3, 7, 10], [1, 7, 10]], [[1, 8, 10], [1, 5, 8, 10], [10]],
+                              [[1, 3, 5, 10], [1, 3, 5, 8, 10], [1, 3, 5, 10]],
+                              [[1, 3, 6, 10], [1, 3, 6, 8, 10], [1, 3, 6, 10]],
+                              [[1, 3, 7, 10], [1, 3, 5, 7, 10], [1, 3, 7, 10]],
+                              [[1, 3, 8, 10], [1, 3, 5, 8, 10], [1, 3, 8, 10]],
+                              [[1, 4, 6, 10], [1, 4, 6, 8, 10], [1, 4, 6, 10]],
+                              [[1, 4, 7, 10], [0, 2, 4, 7, 10], [0, 4, 7, 10]],
+                              [[1, 4, 8, 10], [1, 4, 6, 8, 10], [1, 4, 8, 10]],
+                              [[1, 5, 7, 10], [1, 3, 5, 7, 10], [1, 5, 7, 10]],
+                              [[1, 5, 8, 10], [1, 3, 5, 8, 10], [1, 5, 8, 10]],
+                              [[1, 6, 8, 10], [1, 3, 6, 8, 10], [1, 6, 8, 10]],
+                              [[1, 3, 5, 7, 10], [2, 4, 6, 8, 11], [0, 3, 5, 7, 9]],
+                              [[1, 3, 5, 8, 10], [0, 3, 5, 8, 10], [6, 8, 10]],
+                              [[1, 3, 6, 8, 10], [0, 3, 6, 8, 10], [8]],
+                              [[1, 4, 6, 8, 10], [0, 3, 5, 7, 9], [2, 4, 6, 8, 11]],
+                              [[1, 11], [2, 6, 11], [11]], [[1, 3, 11], [1, 3, 6, 11], [11]],
+                              [[1, 4, 11], [1, 4, 8, 11], [1]], [[1, 5, 11], [1, 5, 8, 11], [1, 5, 11]],
+                              [[1, 6, 11], [1, 4, 6, 11], [1, 6, 11]],
+                              [[1, 7, 11], [1, 4, 7, 11], [1, 7, 11]],
+                              [[1, 8, 11], [1, 4, 8, 11], [1, 8, 11]], [[1, 9, 11], [1, 4, 9, 11], [9]],
+                              [[1, 3, 5, 11], [1, 3, 5, 8, 11], [1, 3, 5, 11]],
+                              [[1, 3, 6, 11], [1, 3, 6, 8, 11], [1, 3, 6, 11]],
+                              [[1, 3, 7, 11], [1, 3, 7, 9, 11], [0]],
+                              [[1, 3, 8, 11], [1, 3, 6, 8, 11], [1, 3, 8, 11]],
+                              [[1, 3, 9, 11], [1, 3, 6, 9, 11], [1, 3, 9, 11]],
+                              [[1, 4, 6, 11], [1, 4, 6, 9, 11], [1, 4, 6, 11]],
+                              [[1, 4, 7, 11], [1, 4, 7, 9, 11], [1, 4, 7, 11]],
+                              [[1, 4, 8, 11], [1, 4, 6, 8, 11], [1, 4, 8, 11]],
+                              [[1, 4, 9, 11], [1, 4, 6, 9, 11], [1, 4, 9, 11]],
+                              [[1, 5, 7, 11], [0, 4, 6, 8, 10], [5, 7, 9, 11]],
+                              [[1, 5, 8, 11], [1, 3, 5, 8, 11], [1, 5, 8, 11]],
+                              [[1, 5, 9, 11], [1, 5, 7, 9, 11], [9]],
+                              [[1, 6, 8, 11], [1, 3, 6, 8, 11], [1, 6, 8, 11]],
+                              [[1, 6, 9, 11], [1, 4, 6, 9, 11], [1, 6, 9, 11]],
+                              [[1, 7, 9, 11], [1, 4, 7, 9, 11], [1, 7, 9, 11]],
+                              [[1, 3, 5, 7, 11], [0, 2, 4, 6, 8], [7, 9]],
+                              [[1, 3, 5, 8, 11], [0, 2, 4, 7, 10], [1, 3, 6, 9, 11]],
+                              [[1, 3, 5, 9, 11], [1, 3, 7, 9, 11], [0, 2, 6, 8, 10]],
+                              [[1, 3, 6, 8, 11], [1, 4, 6, 8, 11], [6, 8, 11]],
+                              [[1, 3, 6, 9, 11], [0, 2, 5, 8, 10], [1, 4, 7, 9, 11]],
+                              [[1, 3, 7, 9, 11], [1, 3, 6, 9, 11], [11]],
+                              [[1, 4, 6, 8, 11], [1, 4, 6, 9, 11], [9, 11]],
+                              [[1, 4, 6, 9, 11], [2, 4, 6, 9, 11], [1, 4, 6, 9, 11]],
+                              [[1, 4, 7, 9, 11], [2, 4, 7, 9, 11], [7, 9, 11]],
+                              [[1, 5, 7, 9, 11], [2, 4, 7, 9, 11], [5, 7, 9]],
+                              [[1, 3, 5, 7, 9, 11], [0, 2, 4, 6, 8, 10], [1, 3, 5, 7, 9, 11]],
+                              [[2], [2, 9], [2]], [[2, 4], [2, 6, 9], [2]], [[2, 5], [2, 5, 9], [2]],
+                              [[2, 6], [2, 6, 9], [2]], [[2, 4, 6], [2, 4, 6, 9], [2, 4, 6]],
+                              [[2, 7], [2, 7, 11], [2, 7]], [[2, 4, 7], [2, 4, 7, 11], [2, 4, 7]],
+                              [[2, 5, 7], [2, 5, 7, 11], [2, 5, 7]], [[2, 8], [4, 8, 11], [4]],
+                              [[2, 4, 8], [2, 4, 8, 11], [2, 4, 8]], [[2, 5, 8], [2, 5, 8, 10], [2, 5, 8]],
+                              [[2, 6, 8], [2, 6, 8, 11], [2, 6, 8]],
+                              [[2, 4, 6, 8], [2, 4, 6, 8, 11], [2, 4, 6, 8]], [[2, 9], [2, 6, 9], [2, 9]],
+                              [[2, 4, 9], [2, 4, 6, 9], [2, 4, 9]], [[2, 5, 9], [0, 2, 5, 9], [2, 5, 9]],
+                              [[2, 6, 9], [2, 6, 9, 11], [2, 6, 9]], [[2, 7, 9], [2, 7, 9, 11], [2, 7, 9]],
+                              [[2, 4, 6, 9], [2, 4, 6, 9, 11], [2, 4, 6, 9]],
+                              [[2, 4, 7, 9], [2, 4, 7, 9, 11], [2, 4, 7, 9]],
+                              [[2, 5, 7, 9], [0, 2, 5, 7, 9], [2, 5, 7, 9]], [[2, 10], [2, 5, 10], [10]],
+                              [[2, 4, 10], [2, 4, 7, 10], [2, 4, 10]],
+                              [[2, 5, 10], [2, 5, 7, 10], [2, 5, 10]],
+                              [[2, 6, 10], [1, 4, 6, 10], [1, 6, 10]],
+                              [[2, 7, 10], [2, 5, 7, 10], [2, 7, 10]],
+                              [[2, 8, 10], [2, 5, 8, 10], [2, 8, 10]],
+                              [[2, 4, 6, 10], [0, 2, 4, 6, 10], [2, 4, 6, 10]],
+                              [[2, 4, 7, 10], [0, 2, 4, 7, 10], [2, 4, 7, 10]],
+                              [[2, 4, 8, 10], [2, 4, 7, 9, 11], [2, 4, 7, 11]],
+                              [[2, 5, 7, 10], [0, 2, 5, 7, 10], [2, 5, 7, 10]],
+                              [[2, 5, 8, 10], [0, 2, 5, 8, 10], [2, 5, 8, 10]],
+                              [[2, 6, 8, 10], [1, 3, 5, 7, 10], [1, 7]],
+                              [[2, 4, 6, 8, 10], [0, 2, 6, 8, 10], [2, 4, 6, 8, 10]],
+                              [[2, 11], [2, 7, 11], [7]], [[2, 4, 11], [2, 4, 8, 11], [2, 4, 11]],
+                              [[2, 5, 11], [2, 5, 7, 11], [2, 5, 11]],
+                              [[2, 6, 11], [2, 6, 9, 11], [2, 6, 11]],
+                              [[2, 7, 11], [2, 4, 7, 11], [2, 7, 11]],
+                              [[2, 8, 11], [2, 4, 8, 11], [2, 8, 11]],
+                              [[2, 9, 11], [2, 6, 9, 11], [2, 9, 11]],
+                              [[2, 4, 6, 11], [2, 4, 6, 9, 11], [2, 4, 6, 11]],
+                              [[2, 4, 7, 11], [2, 4, 7, 9, 11], [2, 4, 7, 11]],
+                              [[2, 4, 8, 11], [2, 4, 6, 8, 11], [2, 4, 8, 11]],
+                              [[2, 4, 9, 11], [2, 4, 7, 9, 11], [2, 4, 9, 11]],
+                              [[2, 5, 7, 11], [2, 5, 7, 9, 11], [2, 5, 7, 11]],
+                              [[2, 5, 8, 11], [1, 3, 5, 8, 11], [1, 5, 8, 11]],
+                              [[2, 5, 9, 11], [2, 5, 7, 9, 11], [2, 5, 9, 11]],
+                              [[2, 6, 8, 11], [2, 4, 6, 8, 11], [2, 6, 8, 11]],
+                              [[2, 6, 9, 11], [2, 4, 6, 9, 11], [2, 6, 9, 11]],
+                              [[2, 7, 9, 11], [2, 4, 7, 9, 11], [2, 7, 9, 11]],
+                              [[2, 4, 6, 8, 11], [2, 4, 6, 9, 11], [2, 4, 6, 8, 11]],
+                              [[2, 4, 6, 9, 11], [2, 4, 7, 9, 11], [2, 7, 9]],
+                              [[2, 4, 7, 9, 11], [0, 2, 4, 7, 9], [11]],
+                              [[2, 5, 7, 9, 11], [2, 4, 7, 9, 11], [2, 7, 9, 11]], [[3], [3, 10], [3]],
+                              [[3, 5], [3, 7, 10], [3]], [[3, 6], [3, 6, 11], [11]],
+                              [[3, 7], [3, 7, 10], [3]], [[3, 5, 7], [3, 5, 7, 10], [3, 5, 7]],
+                              [[3, 8], [0, 3, 8], [3, 8]], [[3, 5, 8], [0, 3, 5, 8], [8]],
+                              [[3, 6, 8], [0, 3, 6, 8], [3, 6, 8]], [[3, 9], [0, 3, 9], [3, 9]],
+                              [[3, 5, 9], [0, 3, 5, 9], [3, 5, 9]], [[3, 6, 9], [3, 6, 9, 11], [3, 6, 9]],
+                              [[3, 7, 9], [0, 3, 7, 9], [3, 7, 9]],
+                              [[3, 5, 7, 9], [0, 3, 5, 7, 9], [0, 3, 5, 9]], [[3, 10], [3, 7, 10], [3, 10]],
+                              [[3, 5, 10], [3, 5, 7, 10], [3, 5, 10]],
+                              [[3, 6, 10], [1, 3, 6, 10], [3, 6, 10]],
+                              [[3, 7, 10], [0, 3, 7, 10], [3, 7, 10]],
+                              [[3, 8, 10], [0, 3, 8, 10], [3, 8, 10]],
+                              [[3, 5, 7, 10], [0, 3, 5, 7, 10], [3, 5, 7, 10]],
+                              [[3, 5, 8, 10], [0, 3, 5, 8, 10], [3, 5, 8, 10]],
+                              [[3, 6, 8, 10], [1, 3, 6, 8, 10], [3, 6, 8, 10]], [[3, 11], [3, 6, 11], [11]],
+                              [[3, 5, 11], [3, 5, 8, 11], [3, 5, 11]],
+                              [[3, 6, 11], [3, 6, 9, 11], [3, 6, 11]],
+                              [[3, 7, 11], [2, 5, 7, 11], [2, 7, 11]],
+                              [[3, 8, 11], [3, 6, 8, 11], [3, 8, 11]],
+                              [[3, 9, 11], [3, 6, 9, 11], [3, 9, 11]],
+                              [[3, 5, 7, 11], [3, 5, 7, 9, 11], [3, 5, 7, 11]],
+                              [[3, 5, 8, 11], [1, 3, 5, 8, 11], [3, 5, 8, 11]],
+                              [[3, 5, 9, 11], [3, 5, 7, 9, 11], [5, 7, 9, 11]],
+                              [[3, 6, 8, 11], [1, 3, 6, 8, 11], [3, 6, 8, 11]],
+                              [[3, 6, 9, 11], [1, 3, 6, 9, 11], [3, 6, 9, 11]],
+                              [[3, 7, 9, 11], [2, 4, 7, 9, 11], [7, 9, 11]],
+                              [[3, 5, 7, 9, 11], [2, 5, 7, 9, 11], [2, 5, 7, 11]], [[4], [4, 11], [4]],
+                              [[4, 6], [4, 7, 11], [4]], [[4, 7], [0, 4, 7], [0]], [[4, 8], [4, 8, 11], [4]],
+                              [[4, 6, 8], [4, 6, 8, 11], [4]], [[4, 9], [1, 4, 9], [4, 9]],
+                              [[4, 6, 9], [1, 4, 6, 9], [4, 6, 9]], [[4, 7, 9], [1, 4, 7, 9], [4, 7, 9]],
+                              [[4, 10], [4, 7, 10], [4, 10]], [[4, 6, 10], [1, 4, 6, 10], [4, 6, 10]],
+                              [[4, 7, 10], [0, 4, 7, 10], [4, 7, 10]], [[4, 8, 10], [1, 4, 8, 10], [1]],
+                              [[4, 6, 8, 10], [1, 4, 6, 8, 10], [6]], [[4, 11], [4, 8, 11], [4, 11]],
+                              [[4, 6, 11], [4, 6, 8, 11], [4, 6, 11]],
+                              [[4, 7, 11], [2, 4, 7, 11], [4, 7, 11]],
+                              [[4, 8, 11], [2, 4, 8, 11], [4, 8, 11]],
+                              [[4, 9, 11], [2, 4, 9, 11], [4, 9, 11]],
+                              [[4, 6, 8, 11], [1, 4, 6, 8, 11], [4, 6, 8, 11]],
+                              [[4, 6, 9, 11], [2, 4, 6, 9, 11], [4, 6, 9, 11]],
+                              [[4, 7, 9, 11], [2, 4, 7, 9, 11], [4, 7, 9, 11]], [[5], [0, 5, 9], [5]],
+                              [[5, 7], [0, 4, 7], [0]], [[5, 8], [0, 5, 8], [5]], [[5, 9], [0, 5, 9], [5]],
+                              [[5, 7, 9], [0, 4, 7, 9], [5]], [[5, 10], [2, 5, 10], [5, 10]],
+                              [[5, 7, 10], [2, 5, 7, 10], [7]], [[5, 8, 10], [2, 5, 8, 10], [5, 8, 10]],
+                              [[5, 11], [0, 5, 9], [5]], [[5, 7, 11], [2, 5, 7, 11], [5, 7, 11]],
+                              [[5, 8, 11], [1, 5, 8, 11], [5, 8, 11]],
+                              [[5, 9, 11], [2, 5, 9, 11], [5, 9, 11]],
+                              [[5, 7, 9, 11], [2, 5, 7, 9, 11], [5, 7, 9]], [[6], [1, 6], [6]],
+                              [[6, 8], [1, 5, 8], [8]], [[6, 9], [2, 6, 9], [2]], [[6, 10], [1, 6, 10], [6]],
+                              [[6, 8, 10], [1, 5, 8, 10], [6, 8, 10]], [[6, 11], [3, 6, 11], [6, 11]],
+                              [[6, 8, 11], [3, 6, 8, 11], [6, 8, 11]],
+                              [[6, 9, 11], [3, 6, 9, 11], [6, 9, 11]], [[7], [2, 7, 11], [7]],
+                              [[7, 9], [2, 6, 9], [2]], [[7, 10], [2, 7, 10], [7]],
+                              [[7, 11], [2, 7, 11], [7]], [[7, 9, 11], [2, 7, 9, 11], [7, 9, 11]],
+                              [[8], [3, 8], [8]], [[8, 10], [3, 7, 10], [3]], [[8, 11], [4, 8, 11], [4]],
+                              [[9], [4, 9], [9]], [[9, 11], [4, 8, 11], [4]], [[10], [2, 5, 10], [10]],
+                              [[11], [6, 11], [11]]]
+
+###################################################################################
+
+ALL_CHORDS_TRIPLETS_FILTERED = [[[0], [0, 4, 7], [7]], [[0, 3], [0, 3, 7], [0]],
+                                [[0, 3, 5], [0, 3, 5, 9], [5]], [[0, 3, 5, 8], [0, 3, 7, 10], [0]],
+                                [[0, 3, 5, 9], [0, 3, 7, 10], [10]], [[0, 3, 5, 10], [0, 3, 5, 9], [5]],
+                                [[0, 3, 7], [0, 3, 7, 10], [0]], [[0, 3, 7, 10], [0, 3, 5, 9], [2, 5, 10]],
+                                [[0, 3, 8], [0, 3, 5, 8], [8]], [[0, 3, 9], [0, 3, 5, 9], [5]],
+                                [[0, 3, 10], [0, 3, 7, 10], [0]], [[0, 4], [0, 4, 7], [0]],
+                                [[0, 4, 6], [0, 4, 6, 9], [4]], [[0, 4, 6, 9], [1, 4, 6, 9], [9]],
+                                [[0, 4, 6, 10], [0, 4, 7, 10], [0, 4, 10]], [[0, 4, 7], [0, 4, 7, 10], [0]],
+                                [[0, 4, 7, 10], [1, 4, 7, 10], [0]], [[0, 4, 8], [0, 4, 7, 10], [0, 5, 8]],
+                                [[0, 4, 9], [0, 4, 6, 9], [9]], [[0, 4, 10], [0, 4, 7, 10], [0]],
+                                [[0, 5], [0, 5, 9], [5]], [[0, 5, 8], [0, 3, 5, 8], [5]],
+                                [[0, 5, 9], [0, 3, 5, 9], [5]], [[0, 5, 10], [0, 3, 5, 10], [10]],
+                                [[0, 6], [0, 6, 9], [9]], [[0, 6, 9], [0, 4, 6, 9], [6]],
+                                [[0, 6, 10], [0, 4, 7, 10], [10]], [[0, 7], [0, 4, 7], [0]],
+                                [[0, 7, 10], [0, 4, 7, 10], [0]], [[0, 8], [0, 3, 8], [8]],
+                                [[0, 9], [0, 4, 9], [9]], [[0, 10], [2, 5, 10], [10]], [[1], [1, 8], [8]],
+                                [[1, 4], [1, 4, 9], [9]], [[1, 4, 6], [1, 4, 6, 9], [6]],
+                                [[1, 4, 6, 9], [1, 4, 8, 11], [4]], [[1, 4, 6, 10], [0, 3, 5, 9], [5]],
+                                [[1, 4, 6, 11], [1, 4, 6, 9], [6]], [[1, 4, 7], [1, 4, 7, 10], [10]],
+                                [[1, 4, 7, 10], [0, 4, 7, 10], [0]],
+                                [[1, 4, 7, 11], [1, 4, 6, 10], [1, 6, 10]], [[1, 4, 8], [1, 4, 8, 11], [1]],
+                                [[1, 4, 8, 11], [1, 4, 6, 9], [1, 4, 9]], [[1, 4, 9], [1, 4, 6, 9], [9]],
+                                [[1, 4, 10], [1, 4, 6, 10], [6]], [[1, 4, 11], [1, 4, 8, 11], [1]],
+                                [[1, 5], [1, 5, 8], [1]], [[1, 5, 8], [1, 5, 8, 11], [1]],
+                                [[1, 5, 8, 11], [2, 5, 8, 11], [1]], [[1, 5, 9], [0, 3, 5, 9], [0, 5, 9]],
+                                [[1, 5, 10], [0, 4, 7, 10], [0]], [[1, 5, 11], [1, 5, 8, 11], [11]],
+                                [[1, 6], [1, 6, 10], [6]], [[1, 6, 9], [1, 4, 6, 9], [6]],
+                                [[1, 6, 10], [1, 4, 6, 10], [6]], [[1, 6, 11], [1, 4, 6, 11], [11]],
+                                [[1, 7], [1, 4, 7], [4]], [[1, 7, 10], [1, 4, 7, 10], [4]],
+                                [[1, 7, 11], [1, 4, 7, 11], [7]], [[1, 8], [1, 5, 8], [1]],
+                                [[1, 8, 11], [1, 4, 8, 11], [1]], [[1, 9], [1, 4, 9], [9]],
+                                [[1, 10], [1, 5, 10], [10]], [[1, 11], [2, 6, 11], [11]], [[2], [2, 9], [9]],
+                                [[2, 5], [2, 5, 9], [2]], [[2, 5, 8], [2, 5, 8, 11], [2]],
+                                [[2, 5, 8, 11], [1, 4, 7, 10], [0, 3, 8]],
+                                [[2, 5, 9], [0, 3, 5, 9], [2, 5, 10]], [[2, 5, 10], [0, 3, 5, 9], [2, 10]],
+                                [[2, 5, 11], [2, 5, 8, 11], [8]], [[2, 6], [2, 6, 9], [2]],
+                                [[2, 6, 9], [1, 4, 6, 9], [1, 4, 9]], [[2, 6, 10], [1, 4, 6, 10], [1, 6, 10]],
+                                [[2, 6, 11], [1, 4, 6, 10], [1, 6, 10]], [[2, 7], [2, 7, 11], [7]],
+                                [[2, 7, 10], [0, 4, 7, 10], [0]], [[2, 7, 11], [1, 4, 6, 9], [1, 4, 9]],
+                                [[2, 8], [4, 8, 11], [4]], [[2, 8, 11], [2, 5, 8, 11], [4]],
+                                [[2, 9], [2, 6, 9], [2]], [[2, 10], [2, 5, 10], [10]],
+                                [[2, 11], [2, 7, 11], [7]], [[3], [3, 10], [10]], [[3, 5], [3, 7, 10], [3]],
+                                [[3, 5, 8], [0, 3, 5, 8], [8]], [[3, 5, 8, 11], [2, 5, 8, 11], [2]],
+                                [[3, 5, 9], [0, 3, 5, 9], [5]], [[3, 5, 10], [0, 3, 5, 10], [5, 10]],
+                                [[3, 5, 11], [3, 5, 8, 11], [5]], [[3, 7], [3, 7, 10], [3]],
+                                [[3, 7, 10], [0, 3, 7, 10], [10]], [[3, 7, 11], [0, 3, 7, 10], [3, 7, 10]],
+                                [[3, 8], [0, 3, 8], [8]], [[3, 8, 11], [3, 5, 8, 11], [11]],
+                                [[3, 9], [0, 3, 9], [9]], [[3, 10], [3, 7, 10], [3]],
+                                [[3, 11], [3, 8, 11], [8]], [[4], [4, 11], [11]], [[4, 6], [4, 7, 11], [4]],
+                                [[4, 6, 9], [1, 4, 6, 9], [9]], [[4, 6, 10], [1, 4, 6, 10], [6]],
+                                [[4, 6, 11], [1, 4, 6, 11], [11]], [[4, 7], [0, 4, 7], [0]],
+                                [[4, 7, 10], [0, 4, 7, 10], [0]], [[4, 7, 11], [1, 4, 7, 11], [11]],
+                                [[4, 8], [4, 8, 11], [4]], [[4, 8, 11], [1, 4, 8, 11], [4]],
+                                [[4, 9], [1, 4, 9], [9]], [[4, 10], [4, 7, 10], [7]],
+                                [[4, 11], [4, 8, 11], [4]], [[5], [0, 5, 9], [0]], [[5, 8], [0, 5, 8], [5]],
+                                [[5, 8, 11], [1, 5, 8, 11], [1]], [[5, 9], [0, 5, 9], [5]],
+                                [[5, 10], [2, 5, 10], [10]], [[5, 11], [0, 5, 9], [5]], [[6], [1, 6], [1]],
+                                [[6, 9], [2, 6, 9], [2]], [[6, 10], [1, 6, 10], [6]],
+                                [[6, 11], [2, 6, 11], [11]], [[7], [2, 7, 11], [2]],
+                                [[7, 10], [2, 7, 10], [7]], [[7, 11], [2, 7, 11], [7]], [[8], [3, 8], [3]],
+                                [[8, 11], [4, 8, 11], [4]], [[9], [4, 9], [4]], [[10], [2, 5, 10], [5]],
+                                [[11], [6, 11], [6]]]
+
+###################################################################################
+
+def pitches_to_tones(pitches):
+  return [p % 12 for p in pitches]
+
+###################################################################################
+
+def tones_to_pitches(tones, base_octave=5):
+  return [(base_octave * 12) + t for t in tones]
+
+###################################################################################
+
+def find_closest_value(lst, val):
+
+  closest_value = min(lst, key=lambda x: abs(val - x))
+  closest_value_indexes = [i for i in range(len(lst)) if lst[i] == closest_value]
+  
+  return [closest_value, abs(val - closest_value), closest_value_indexes]
+
+###################################################################################
+
+def transpose_tones_chord(tones_chord, transpose_value=0):
+  return sorted([((60+t)+transpose_value) % 12 for t in sorted(set(tones_chord))])
+
+###################################################################################
+
+def transpose_tones(tones, transpose_value=0):
+  return [((60+t)+transpose_value) % 12 for t in tones]
+
+###################################################################################
+
+def transpose_pitches_chord(pitches_chord, transpose_value=0):
+  return [max(1, min(127, p+transpose_value)) for p in sorted(set(pitches_chord), reverse=True)]
+
+###################################################################################
+
+def transpose_pitches(pitches, transpose_value=0):
+  return [max(1, min(127, p+transpose_value)) for p in pitches]
+
+###################################################################################
+
+def reverse_enhanced_score_notes(enhanced_score_notes):
+
+  score = recalculate_score_timings(enhanced_score_notes)
+
+  cscore = chordify_score([1000, score])
+
+  abs_dtimes = []
+
+  for i, t in enumerate(cscore[:-1]):
+    abs_dtimes.append(cscore[i+1][0][1])
+  abs_dtimes.append(cscore[-1][0][1]+cscore[-1][0][2])
+
+  new_dtimes = []
+  pt = abs_dtimes[-1]
+
+  for t in abs_dtimes[::-1]:
+    new_dtimes.append(abs(pt-t))
+    pt = t
+
+  new_mel = copy.deepcopy(cscore[::-1])
+
+  time = 0
+
+  for i, t in enumerate(new_mel):
+    time += new_dtimes[i]
+    for tt in t:
+      tt[1] = time
+
+  return recalculate_score_timings(flatten(new_mel))
+
+###################################################################################
+
 # This is the end of the TMIDI X Python module
 
 ###################################################################################