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Meantone family: Difference between revisions

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→Jerome: note related temps
m Text replacement - "Mapping: {{mapping| " to "{{Mapping|legend=0| "
 
Line 120: Line 120:
Comma list: 81/80, 99/98, 126/125
Comma list: 81/80, 99/98, 126/125


Mapping: {{mapping| 1 0 -4 -13 -25 | 0 1 4 10 18 }}
{{Mapping|legend=0| 1 0 -4 -13 -25 | 0 1 4 10 18 }}


Optimal tunings:  
Optimal tunings:  
Line 151: Line 151:
Comma list: 81/80, 99/98, 126/125, 144/143
Comma list: 81/80, 99/98, 126/125, 144/143


Mapping: {{mapping| 1 0 -4 -13 -25 29 | 0 1 4 10 18 -16 }}
{{Mapping|legend=0| 1 0 -4 -13 -25 29 | 0 1 4 10 18 -16 }}


Optimal tunings:  
Optimal tunings:  
Line 176: Line 176:
Comma list: 81/80, 99/98, 120/119, 126/125, 144/143
Comma list: 81/80, 99/98, 120/119, 126/125, 144/143


Mapping: {{mapping| 1 0 -4 -13 -25 29 12 | 0 1 4 10 18 -16 -5 }}
{{Mapping|legend=0| 1 0 -4 -13 -25 29 12 | 0 1 4 10 18 -16 -5 }}


Optimal tunings:  
Optimal tunings:  
Line 191: Line 191:
Comma list: 81/80, 96/95, 99/98, 120/119, 126/125, 144/143
Comma list: 81/80, 96/95, 99/98, 120/119, 126/125, 144/143


Mapping: {{mapping| 1 0 -4 -13 -25 29 12 9 | 0 1 4 10 18 -16 -5 -3 }}
{{Mapping|legend=0| 1 0 -4 -13 -25 29 12 9 | 0 1 4 10 18 -16 -5 -3 }}


Optimal tunings:  
Optimal tunings:  
Line 210: Line 210:
Comma list: 66/65, 81/80, 99/98, 105/104
Comma list: 66/65, 81/80, 99/98, 105/104


Mapping: {{mapping| 1 0 -4 -13 -25 -20 | 0 1 4 10 18 15 }}
{{Mapping|legend=0| 1 0 -4 -13 -25 -20 | 0 1 4 10 18 15 }}


Optimal tunings:  
Optimal tunings:  
Line 229: Line 229:
Comma list: 66/65, 81/80, 99/98, 105/104, 120/119
Comma list: 66/65, 81/80, 99/98, 105/104, 120/119


Mapping: {{mapping| 1 0 -4 -13 -25 -20 12 | 0 1 4 10 18 15 -5 }}
{{Mapping|legend=0| 1 0 -4 -13 -25 -20 12 | 0 1 4 10 18 15 -5 }}


Optimal tunings:  
Optimal tunings:  
Line 244: Line 244:
Comma list: 66/65, 81/80, 96/95, 99/98, 105/104, 120/119
Comma list: 66/65, 81/80, 96/95, 99/98, 105/104, 120/119


Mapping: {{mapping| 1 0 -4 -13 -25 -20 12 9 | 0 1 4 10 18 15 -5 -3 }}
{{Mapping|legend=0| 1 0 -4 -13 -25 -20 12 9 | 0 1 4 10 18 15 -5 -3 }}


Optimal tunings:  
Optimal tunings:  
Line 261: Line 261:
Comma list: 78/77, 81/80, 99/98, 126/125
Comma list: 78/77, 81/80, 99/98, 126/125


Mapping: {{mapping| 1 0 -4 -13 -25 -39 | 0 1 4 10 18 27 }}
{{Mapping|legend=0| 1 0 -4 -13 -25 -39 | 0 1 4 10 18 27 }}


Optimal tunings:  
Optimal tunings:  
Line 280: Line 280:
Comma list: 78/77, 81/80, 99/98, 120/119, 126/125
Comma list: 78/77, 81/80, 99/98, 120/119, 126/125


Mapping: {{mapping| 1 0 -4 -13 -25 -39 12 | 0 1 4 10 18 27 -5 }}
{{Mapping|legend=0| 1 0 -4 -13 -25 -39 12 | 0 1 4 10 18 27 -5 }}


Optimal tunings:  
Optimal tunings:  
Line 295: Line 295:
Comma list: 78/77, 81/80, 96/95, 99/98, 120/119, 126/125
Comma list: 78/77, 81/80, 96/95, 99/98, 120/119, 126/125


Mapping: {{mapping| 1 0 -4 -13 -25 -39 12 9 | 0 1 4 10 18 27 -5 -3 }}
{{Mapping|legend=0| 1 0 -4 -13 -25 -39 12 9 | 0 1 4 10 18 27 -5 -3 }}


Optimal tunings:  
Optimal tunings:  
Line 310: Line 310:
Comma list: 81/80, 99/98, 126/125, 169/168
Comma list: 81/80, 99/98, 126/125, 169/168


Mapping: {{mapping| 1 0 -4 -13 -25 -5 | 0 2 8 20 36 11 }}
{{Mapping|legend=0| 1 0 -4 -13 -25 -5 | 0 2 8 20 36 11 }}


: mapping generators: ~2, ~26/15
: mapping generators: ~2, ~26/15
Line 327: Line 327:
Comma list: 81/80, 99/98, 126/125, 169/168, 221/220
Comma list: 81/80, 99/98, 126/125, 169/168, 221/220


Mapping: {{mapping| 1 0 -4 -13 -25 -5 -22 | 0 2 8 20 36 11 33 }}
{{Mapping|legend=0| 1 0 -4 -13 -25 -5 -22 | 0 2 8 20 36 11 33 }}


Optimal tunings:  
Optimal tunings:  
Line 342: Line 342:
Comma list: 81/80, 99/98, 126/125, 153/152, 169/168, 221/220
Comma list: 81/80, 99/98, 126/125, 153/152, 169/168, 221/220


Mapping: {{mapping| 1 0 -4 -13 -25 -5 -22 -25 | 0 2 8 20 36 11 33 37 }}
{{Mapping|legend=0| 1 0 -4 -13 -25 -5 -22 -25 | 0 2 8 20 36 11 33 37 }}


Optimal tunings:  
Optimal tunings:  
Line 357: Line 357:
Comma list: 81/80, 99/98, 126/125, 847/845
Comma list: 81/80, 99/98, 126/125, 847/845


Mapping: {{mapping| 2 0 -8 -26 -50 -59 | 0 1 4 10 18 21 }}
{{Mapping|legend=0| 2 0 -8 -26 -50 -59 | 0 1 4 10 18 21 }}


: mapping generators: ~55/39, ~3
: mapping generators: ~55/39, ~3
Line 374: Line 374:
Comma list: 81/80, 99/98, 126/125, 221/220, 289/288
Comma list: 81/80, 99/98, 126/125, 221/220, 289/288


Mapping: {{mapping| 2 0 -8 -26 -50 -59 5 | 0 1 4 10 18 21 1 }}
{{Mapping|legend=0| 2 0 -8 -26 -50 -59 5 | 0 1 4 10 18 21 1 }}


Optimal tunings:  
Optimal tunings:  
Line 389: Line 389:
Comma list: 81/80, 99/98, 126/125, 153/152, 209/208, 221/220
Comma list: 81/80, 99/98, 126/125, 153/152, 209/208, 221/220


Mapping: {{mapping| 2 0 -8 -26 -50 -59 5 -1 | 0 1 4 10 18 21 1 3 }}
{{Mapping|legend=0| 2 0 -8 -26 -50 -59 5 -1 | 0 1 4 10 18 21 1 3 }}


Optimal tunings:  
Optimal tunings:  
Line 408: Line 408:
Comma list: 81/80, 126/125, 385/384
Comma list: 81/80, 126/125, 385/384


Mapping: {{mapping| 1 0 -4 -13 24 | 0 1 4 10 -13 }}
{{Mapping|legend=0| 1 0 -4 -13 24 | 0 1 4 10 -13 }}


: mapping generator: ~2, ~3
: mapping generator: ~2, ~3
Line 440: Line 440:
Comma list: 81/80, 105/104, 126/125, 144/143
Comma list: 81/80, 105/104, 126/125, 144/143


Mapping: {{mapping| 1 0 -4 -13 24 -20 | 0 1 4 10 -13 15 }}
{{Mapping|legend=0| 1 0 -4 -13 24 -20 | 0 1 4 10 -13 15 }}


Optimal tunings:  
Optimal tunings:  
Line 463: Line 463:
Comma list: 81/80, 105/104, 126/125, 144/143, 273/272
Comma list: 81/80, 105/104, 126/125, 144/143, 273/272


Mapping: {{mapping| 1 0 -4 -13 24 -20 -37 | 0 1 4 10 -13 15 26 }}
{{Mapping|legend=0| 1 0 -4 -13 24 -20 -37 | 0 1 4 10 -13 15 26 }}


Optimal tunings:  
Optimal tunings:  
Line 478: Line 478:
Comma list: 81/80, 105/104, 126/125, 144/143, 153/152, 273/272
Comma list: 81/80, 105/104, 126/125, 144/143, 153/152, 273/272


Mapping: {{mapping| 1 0 -4 -13 24 -20 -37 -40 | 0 1 4 10 -13 15 26 28 }}
{{Mapping|legend=0| 1 0 -4 -13 24 -20 -37 -40 | 0 1 4 10 -13 15 26 28 }}


Optimal tunings:  
Optimal tunings:  
Line 493: Line 493:
Comma list: 81/80, 105/104, 120/119, 126/125, 144/143
Comma list: 81/80, 105/104, 120/119, 126/125, 144/143


Mapping: {{mapping| 1 0 -4 -13 24 -20 12 | 0 1 4 10 -13 15 -5 }}
{{Mapping|legend=0| 1 0 -4 -13 24 -20 12 | 0 1 4 10 -13 15 -5 }}


Optimal tunings:  
Optimal tunings:  
Line 508: Line 508:
Comma list: 77/76, 81/80, 96/95, 105/104, 120/119, 126/125
Comma list: 77/76, 81/80, 96/95, 105/104, 120/119, 126/125


Mapping: {{mapping| 1 0 -4 -13 24 -20 12 9 | 0 1 4 10 -13 15 -5 -3 }}
{{Mapping|legend=0| 1 0 -4 -13 24 -20 12 9 | 0 1 4 10 -13 15 -5 -3 }}


Optimal tunings:  
Optimal tunings:  
Line 523: Line 523:
Comma list: 81/80, 126/125, 385/384, 847/845
Comma list: 81/80, 126/125, 385/384, 847/845


Mapping: {{mapping| 2 0 -8 -26 48 39 | 0 1 4 10 -13 -10 }}
{{Mapping|legend=0| 2 0 -8 -26 48 39 | 0 1 4 10 -13 -10 }}


: mapping generators: ~55/39, ~3
: mapping generators: ~55/39, ~3
Line 540: Line 540:
Comma list: 81/80, 126/125, 221/220, 273/272, 289/288
Comma list: 81/80, 126/125, 221/220, 273/272, 289/288


Mapping: {{mapping| 2 0 -8 -26 48 39 5 | 0 1 4 10 -13 -10 1 }}
{{Mapping|legend=0| 2 0 -8 -26 48 39 5 | 0 1 4 10 -13 -10 1 }}


Optimal tunings:  
Optimal tunings:  
Line 555: Line 555:
Comma list: 81/80, 126/125, 153/152, 209/208, 221/220, 273/272
Comma list: 81/80, 126/125, 153/152, 209/208, 221/220, 273/272


Mapping: {{mapping| 2 0 -8 -26 48 39 5 -1 | 0 1 4 10 -13 -10 1 3 }}
{{Mapping|legend=0| 2 0 -8 -26 48 39 5 -1 | 0 1 4 10 -13 -10 1 3 }}


Optimal tunings:  
Optimal tunings:  
Line 572: Line 572:
Comma list: 45/44, 56/55, 81/80
Comma list: 45/44, 56/55, 81/80


Mapping: {{mapping| 1 0 -4 -13 -6 | 0 1 4 10 6 }}
{{Mapping|legend=0| 1 0 -4 -13 -6 | 0 1 4 10 6 }}


Optimal tunings:  
Optimal tunings:  
Line 591: Line 591:
Comma list: 45/44, 56/55, 78/77, 81/80
Comma list: 45/44, 56/55, 78/77, 81/80


Mapping: {{mapping| 1 0 -4 -13 -6 -20 | 0 1 4 10 6 15 }}
{{Mapping|legend=0| 1 0 -4 -13 -6 -20 | 0 1 4 10 6 15 }}


Optimal tunings:  
Optimal tunings:  
Line 606: Line 606:
Comma list: 45/44, 56/55, 78/77, 81/80, 120/119
Comma list: 45/44, 56/55, 78/77, 81/80, 120/119


Mapping: {{mapping| 1 0 -4 -13 -6 -20 12 | 0 1 4 10 6 15 -5 }}
{{Mapping|legend=0| 1 0 -4 -13 -6 -20 12 | 0 1 4 10 6 15 -5 }}


Optimal tunings:  
Optimal tunings:  
Line 621: Line 621:
Comma list: 45/44, 56/55, 78/77, 81/80, 96/95, 120/119
Comma list: 45/44, 56/55, 78/77, 81/80, 96/95, 120/119


Mapping: {{mapping| 1 0 -4 -13 -6 -20 12 9 | 0 1 4 10 6 15 -5 -3 }}
{{Mapping|legend=0| 1 0 -4 -13 -6 -20 12 9 | 0 1 4 10 6 15 -5 -3 }}


Optimal tunings:  
Optimal tunings:  
Line 636: Line 636:
Comma list: 45/44, 56/55, 65/64, 81/80
Comma list: 45/44, 56/55, 65/64, 81/80


Mapping: {{mapping| 1 0 -4 -13 -6 10 | 0 1 4 10 6 -4 }}
{{Mapping|legend=0| 1 0 -4 -13 -6 10 | 0 1 4 10 6 -4 }}


Optimal tunings:  
Optimal tunings:  
Line 651: Line 651:
Comma list: 45/44, 52/51, 56/55, 65/64, 81/80
Comma list: 45/44, 52/51, 56/55, 65/64, 81/80


Mapping: {{mapping| 1 0 -4 -13 -6 10 12 | 0 1 4 10 6 -4 -5 }}
{{Mapping|legend=0| 1 0 -4 -13 -6 10 12 | 0 1 4 10 6 -4 -5 }}


Optimal tunings:  
Optimal tunings:  
Line 666: Line 666:
Comma list: 39/38, 45/44, 52/51, 56/55, 65/64, 81/80
Comma list: 39/38, 45/44, 52/51, 56/55, 65/64, 81/80


Mapping: {{mapping| 1 0 -4 -13 -6 10 12 9 | 0 1 4 10 6 -4 -5 -3 }}
{{Mapping|legend=0| 1 0 -4 -13 -6 10 12 9 | 0 1 4 10 6 -4 -5 -3 }}


Optimal tunings:  
Optimal tunings:  
Line 683: Line 683:
Comma list: 81/80, 126/125, 245/242
Comma list: 81/80, 126/125, 245/242


Mapping: {{mapping| 2 0 -8 -26 -31 | 0 1 4 10 12 }}
{{Mapping|legend=0| 2 0 -8 -26 -31 | 0 1 4 10 12 }}


: mapping generators: ~63/44, ~3
: mapping generators: ~63/44, ~3
Line 700: Line 700:
Comma list: 81/80, 105/104, 126/125, 245/242
Comma list: 81/80, 105/104, 126/125, 245/242


Mapping: {{mapping| 2 0 -8 -26 -31 -40 | 0 1 4 10 12 15 }}
{{Mapping|legend=0| 2 0 -8 -26 -31 -40 | 0 1 4 10 12 15 }}


Optimal tunings:  
Optimal tunings:  
Line 715: Line 715:
Comma list: 81/80, 105/104, 126/125, 189/187, 221/220
Comma list: 81/80, 105/104, 126/125, 189/187, 221/220


Mapping: {{mapping| 2 0 -8 -26 -31 -40 5 | 0 1 4 10 12 15 1 }}
{{Mapping|legend=0| 2 0 -8 -26 -31 -40 5 | 0 1 4 10 12 15 1 }}


Optimal tunings:  
Optimal tunings:  
Line 730: Line 730:
Comma list: 81/80, 105/104, 126/125, 153/152, 189/187, 221/220
Comma list: 81/80, 105/104, 126/125, 153/152, 189/187, 221/220


Mapping: {{mapping| 2 0 -8 -26 -31 -40 5 -1 | 0 1 4 10 12 15 1 3 }}
{{Mapping|legend=0| 2 0 -8 -26 -31 -40 5 -1 | 0 1 4 10 12 15 1 3 }}


Optimal tunings:  
Optimal tunings:  
Line 747: Line 747:
Comma list: 81/80, 126/125, 1344/1331
Comma list: 81/80, 126/125, 1344/1331


Mapping: {{mapping| 1 2 4 7 5 | 0 -3 -12 -30 -11 }}
{{Mapping|legend=0| 1 2 4 7 5 | 0 -3 -12 -30 -11 }}


: mapping generators: ~2, ~11/10
: mapping generators: ~2, ~11/10
Line 764: Line 764:
Comma list: 81/80, 126/125, 144/143, 364/363
Comma list: 81/80, 126/125, 144/143, 364/363


Mapping: {{mapping| 1 2 4 7 5 3 | 0 -3 -12 -30 -11 5 }}
{{Mapping|legend=0| 1 2 4 7 5 3 | 0 -3 -12 -30 -11 5 }}


Optimal tunings:  
Optimal tunings:  
Line 779: Line 779:
Comma list: 81/80, 126/125, 144/143, 189/187, 221/220
Comma list: 81/80, 126/125, 144/143, 189/187, 221/220


Mapping: {{mapping| 1 2 4 7 5 3 8 | 0 -3 -12 -30 -11 5 -28 }}
{{Mapping|legend=0| 1 2 4 7 5 3 8 | 0 -3 -12 -30 -11 5 -28 }}


Optimal tunings:  
Optimal tunings:  
Line 835: Line 835:
Comma list: 45/44, 81/80, 385/384
Comma list: 45/44, 81/80, 385/384


Mapping: {{mapping| 1 0 -4 17 -6 | 0 1 4 -9 6 }}
{{Mapping|legend=0| 1 0 -4 17 -6 | 0 1 4 -9 6 }}


Optimal tuning:  
Optimal tuning:  
Line 854: Line 854:
Comma list: 45/44, 65/64, 78/77, 81/80
Comma list: 45/44, 65/64, 78/77, 81/80


Mapping: {{mapping| 1 0 -4 17 -6 10 | 0 1 4 -9 6 -4 }}
{{Mapping|legend=0| 1 0 -4 17 -6 10 | 0 1 4 -9 6 -4 }}


Optimal tunings:  
Optimal tunings:  
Line 905: Line 905:
Comma list: 36/35, 56/55, 64/63
Comma list: 36/35, 56/55, 64/63


Mapping: {{mapping| 1 0 -4 6 13 | 0 1 4 -2 -6 }}
{{Mapping|legend=0| 1 0 -4 6 13 | 0 1 4 -2 -6 }}


Tuning ranges:  
Tuning ranges:  
Line 924: Line 924:
Comma list: 36/35, 56/55, 64/63, 66/65
Comma list: 36/35, 56/55, 64/63, 66/65


Mapping: {{mapping| 1 0 -4 6 13 18 | 0 1 4 -2 -6 -9 }}
{{Mapping|legend=0| 1 0 -4 6 13 18 | 0 1 4 -2 -6 -9 }}


Optimal tunings:  
Optimal tunings:  
Line 943: Line 943:
Comma list: 26/25, 36/35, 56/55, 64/63
Comma list: 26/25, 36/35, 56/55, 64/63


Mapping: {{mapping| 1 0 -4 6 13 -9 | 0 1 4 -2 -6 8 }}
{{Mapping|legend=0| 1 0 -4 6 13 -9 | 0 1 4 -2 -6 8 }}


Optimal tunings:  
Optimal tunings:  
Line 958: Line 958:
Comma list: 36/35, 64/63, 77/75
Comma list: 36/35, 64/63, 77/75


Mapping: {{mapping| 1 0 -4 6 -14 | 0 1 4 -2 11 }}
{{Mapping|legend=0| 1 0 -4 6 -14 | 0 1 4 -2 11 }}


Optimal tunings:  
Optimal tunings:  
Line 973: Line 973:
Comma list: 26/25, 36/35, 64/63, 66/65
Comma list: 26/25, 36/35, 64/63, 66/65


Mapping: {{mapping| 1 0 -4 6 -14 -9 | 0 1 4 -2 11 8 }}
{{Mapping|legend=0| 1 0 -4 6 -14 -9 | 0 1 4 -2 11 8 }}


Optimal tunings:  
Optimal tunings:  
Line 988: Line 988:
Comma list: 36/35, 45/44, 64/63
Comma list: 36/35, 45/44, 64/63


Mapping: {{mapping| 1 0 -4 6 -6 | 0 1 4 -2 6 }}
{{Mapping|legend=0| 1 0 -4 6 -6 | 0 1 4 -2 6 }}


Optimal tunings:  
Optimal tunings:  
Line 1,003: Line 1,003:
Comma list: 22/21, 33/32, 36/35
Comma list: 22/21, 33/32, 36/35


Mapping: {{mapping| 1 0 -4 6 5 | 0 1 4 -2 -1 }}
{{Mapping|legend=0| 1 0 -4 6 5 | 0 1 4 -2 -1 }}


Optimal tunings:  
Optimal tunings:  
Line 1,044: Line 1,044:
Comma list: 45/44, 81/80, 1375/1344
Comma list: 45/44, 81/80, 1375/1344


Mapping: {{mapping| 1 0 -4 -24 -6 | 0 1 4 17 6 }}
{{Mapping|legend=0| 1 0 -4 -24 -6 | 0 1 4 17 6 }}


Optimal tunings:  
Optimal tunings:  
Line 1,085: Line 1,085:
Comma list: 21/20, 28/27, 33/32
Comma list: 21/20, 28/27, 33/32


Mapping: {{mapping| 1 0 -4 -2 5 | 0 1 4 3 -1 }}
{{Mapping|legend=0| 1 0 -4 -2 5 | 0 1 4 3 -1 }}


Optimal tunings:  
Optimal tunings:  
Line 1,206: Line 1,206:
Comma list: 56/55, 81/80, 132/125
Comma list: 56/55, 81/80, 132/125


Mapping: {{mapping| 1 0 -4 -21 -14 | 0 1 4 15 11 }}
{{Mapping|legend=0| 1 0 -4 -21 -14 | 0 1 4 15 11 }}


Optimal tunings:  
Optimal tunings:  
Line 1,221: Line 1,221:
Comma list: 26/25, 56/55, 66/65, 81/80
Comma list: 26/25, 56/55, 66/65, 81/80


Mapping: {{mapping| 1 0 -4 -21 -14 -9 | 0 1 4 15 11 8 }}
{{Mapping|legend=0| 1 0 -4 -21 -14 -9 | 0 1 4 15 11 8 }}


Optimal tunings:  
Optimal tunings:  
Line 1,273: Line 1,273:
Comma list: 81/80, 121/120, 176/175
Comma list: 81/80, 121/120, 176/175


Mapping: {{mapping| 1 1 0 6 2 | 0 2 8 -11 5 }}
{{Mapping|legend=0| 1 1 0 6 2 | 0 2 8 -11 5 }}


Optimal tunings:  
Optimal tunings:  
Line 1,299: Line 1,299:
Comma list: 66/65, 81/80, 105/104, 121/120
Comma list: 66/65, 81/80, 105/104, 121/120


Mapping: {{mapping| 1 1 0 6 2 4 | 0 2 8 -11 5 -1 }}
{{Mapping|legend=0| 1 1 0 6 2 4 | 0 2 8 -11 5 -1 }}


Optimal tunings:  
Optimal tunings:  
Line 1,316: Line 1,316:
Comma list: 66/65, 81/80, 105/104, 121/120, 154/153
Comma list: 66/65, 81/80, 105/104, 121/120, 154/153


Mapping: {{mapping| 1 1 0 6 2 4 7 | 0 2 8 -11 5 -1 -10 }}
{{Mapping|legend=0| 1 1 0 6 2 4 7 | 0 2 8 -11 5 -1 -10 }}


Optimal tunings:  
Optimal tunings:  
Line 1,333: Line 1,333:
Comma list: 66/65, 77/76, 81/80, 96/95, 105/104, 153/152
Comma list: 66/65, 77/76, 81/80, 96/95, 105/104, 153/152


Mapping: {{mapping| 1 1 0 6 2 4 7 6 | 0 2 8 -11 5 -1 -10 -6 }}
{{Mapping|legend=0| 1 1 0 6 2 4 7 6 | 0 2 8 -11 5 -1 -10 -6 }}


Optimal tunings:  
Optimal tunings:  
Line 1,373: Line 1,373:
Comma list: 56/55, 77/75, 243/242
Comma list: 56/55, 77/75, 243/242


Mapping: {{mapping| 1 1 0 -1 2 | 0 2 8 13 5 }}
{{Mapping|legend=0| 1 1 0 -1 2 | 0 2 8 13 5 }}


Optimal tunings:  
Optimal tunings:  
Line 1,390: Line 1,390:
Comma list: 56/55, 66/65, 77/75, 243/242
Comma list: 56/55, 66/65, 77/75, 243/242


Mapping: {{mapping| 1 1 0 -1 2 4 | 0 2 8 13 5 -1 }}
{{Mapping|legend=0| 1 1 0 -1 2 4 | 0 2 8 13 5 -1 }}


Optimal tunings:  
Optimal tunings:  
Line 1,437: Line 1,437:
Comma list: 56/55, 81/80, 540/539
Comma list: 56/55, 81/80, 540/539


Mapping: {{mapping| 1 0 -4 -3 4 | 0 3 12 11 -1 }}
{{Mapping|legend=0| 1 0 -4 -3 4 | 0 3 12 11 -1 }}


Optimal tunings:  
Optimal tunings:  
Line 1,452: Line 1,452:
Comma list: 56/55, 78/77, 81/80, 91/90
Comma list: 56/55, 78/77, 81/80, 91/90


Mapping: {{mapping| 1 0 -4 -3 4 0 | 0 3 12 11 -1 7 }}
{{Mapping|legend=0| 1 0 -4 -3 4 0 | 0 3 12 11 -1 7 }}


Optimal tunings:  
Optimal tunings:  
Line 1,467: Line 1,467:
Comma list: 77/75, 81/80, 99/98
Comma list: 77/75, 81/80, 99/98


Mapping: {{mapping| 1 0 -4 -3 -5 | 0 3 12 11 16 }}
{{Mapping|legend=0| 1 0 -4 -3 -5 | 0 3 12 11 16 }}


Optimal tunings:  
Optimal tunings:  
Line 1,482: Line 1,482:
Comma list: 66/65, 77/75, 81/80, 99/98
Comma list: 66/65, 77/75, 81/80, 99/98


Mapping: {{mapping| 1 0 -4 -3 -5 0 | 0 3 12 11 16 7 }}
{{Mapping|legend=0| 1 0 -4 -3 -5 0 | 0 3 12 11 16 7 }}


Optimal tunings:  
Optimal tunings:  
Line 1,497: Line 1,497:
Comma list: 45/44, 81/80, 343/330
Comma list: 45/44, 81/80, 343/330


Mapping: {{mapping| 1 0 -4 -3 -6 | 0 3 12 11 18 }}
{{Mapping|legend=0| 1 0 -4 -3 -6 | 0 3 12 11 18 }}


Optimal tunings:  
Optimal tunings:  
Line 1,512: Line 1,512:
Comma list: 45/44, 81/80, 91/88, 147/143
Comma list: 45/44, 81/80, 91/88, 147/143


Mapping: {{mapping| 1 0 -4 -3 -6 0 | 0 3 12 11 18 7 }}
{{Mapping|legend=0| 1 0 -4 -3 -6 0 | 0 3 12 11 18 7 }}


Optimal tunings:  
Optimal tunings:  
Line 1,548: Line 1,548:
Comma list: 81/80, 176/175, 864/847
Comma list: 81/80, 176/175, 864/847


Mapping: {{mapping| 1 2 4 1 5 | 0 -3 -12 13 -11 }}
{{Mapping|legend=0| 1 2 4 1 5 | 0 -3 -12 13 -11 }}


Optimal tunings:  
Optimal tunings:  
Line 1,563: Line 1,563:
Comma list: 78/77, 81/80, 144/143, 176/175
Comma list: 78/77, 81/80, 144/143, 176/175


Mapping: {{mapping| 1 2 4 1 5 3 | 0 -3 -12 13 -11 5 }}
{{Mapping|legend=0| 1 2 4 1 5 3 | 0 -3 -12 13 -11 5 }}


Optimal tunings:  
Optimal tunings:  
Line 1,631: Line 1,631:
Comma list: 81/80, 99/98, 121/120
Comma list: 81/80, 99/98, 121/120


Mapping: {{mapping| 1 -1 -8 -3 -3 | 0 4 16 9 10 }}
{{Mapping|legend=0| 1 -1 -8 -3 -3 | 0 4 16 9 10 }}


Optimal tunings:  
Optimal tunings:  
Line 1,646: Line 1,646:
Comma list: 66/65, 81/80, 99/98, 121/120
Comma list: 66/65, 81/80, 99/98, 121/120


Mapping: {{mapping| 1 -1 -8 -3 -3 5 | 0 4 16 9 10 -2 }}
{{Mapping|legend=0| 1 -1 -8 -3 -3 5 | 0 4 16 9 10 -2 }}


Optimal tunings:  
Optimal tunings:  
Line 1,661: Line 1,661:
Comma list: 78/77, 81/80, 91/90, 99/98
Comma list: 78/77, 81/80, 91/90, 99/98


Mapping: {{mapping| 1 -1 -8 -3 -3 -6 | 0 4 16 9 10 15 }}
{{Mapping|legend=0| 1 -1 -8 -3 -3 -6 | 0 4 16 9 10 15 }}


Optimal tunings:  
Optimal tunings:  
Line 1,676: Line 1,676:
Comma list: 81/80, 99/98, 105/104, 121/120
Comma list: 81/80, 99/98, 105/104, 121/120


Mapping: {{mapping| 1 -1 -8 -3 -3 -15 | 0 4 16 9 10 29 }}
{{Mapping|legend=0| 1 -1 -8 -3 -3 -15 | 0 4 16 9 10 29 }}


Optimal tunings:  
Optimal tunings:  
Line 1,691: Line 1,691:
Comma list: 81/80, 99/98, 105/104, 120/119, 121/119
Comma list: 81/80, 99/98, 105/104, 120/119, 121/119


Mapping: {{mapping| 1 -1 -8 -3 -3 -15 -3 | 0 4 16 9 10 29 11 }}
{{Mapping|legend=0| 1 -1 -8 -3 -3 -15 -3 | 0 4 16 9 10 29 11 }}


Optimal tunings:  
Optimal tunings:  
Line 1,706: Line 1,706:
Comma list: 77/76, 81/80, 99/98, 105/104, 120/119, 121/119
Comma list: 77/76, 81/80, 99/98, 105/104, 120/119, 121/119


Mapping: {{mapping| 1 -1 -8 -3 -3 -15 -3 -8 | 0 4 16 9 10 29 11 19 }}
{{Mapping|legend=0| 1 -1 -8 -3 -3 -15 -3 -8 | 0 4 16 9 10 29 11 19 }}


Optimal tunings:  
Optimal tunings:  
Line 1,721: Line 1,721:
Comma list: 81/80, 385/384, 1375/1372
Comma list: 81/80, 385/384, 1375/1372


Mapping: {{mapping| 1 -1 -8 -3 17 | 0 4 16 9 -21 }}
{{Mapping|legend=0| 1 -1 -8 -3 17 | 0 4 16 9 -21 }}


Optimal tunings:  
Optimal tunings:  
Line 1,757: Line 1,757:
Comma list: 81/80, 99/98, 864/847
Comma list: 81/80, 99/98, 864/847


Mapping: {{mapping| 1 1 0 2 3 | 0 5 20 7 4 }}
{{Mapping|legend=0| 1 1 0 2 3 | 0 5 20 7 4 }}


Optimal tunings:  
Optimal tunings:  
Line 1,772: Line 1,772:
Comma list: 78/77, 81/80, 99/98, 144/143
Comma list: 78/77, 81/80, 99/98, 144/143


Mapping: {{mapping| 1 1 0 2 3 3 | 0 5 20 7 4 6 }}
{{Mapping|legend=0| 1 1 0 2 3 3 | 0 5 20 7 4 6 }}


Optimal tunings:  
Optimal tunings:  
Line 1,787: Line 1,787:
Comma list: 78/77, 81/80, 99/98, 144/143, 189/187
Comma list: 78/77, 81/80, 99/98, 144/143, 189/187


Mapping: {{mapping| 1 1 0 2 3 3 2 | 0 5 20 7 4 6 18 }}
{{Mapping|legend=0| 1 1 0 2 3 3 2 | 0 5 20 7 4 6 18 }}


Optimal tunings:  
Optimal tunings:  
Line 1,802: Line 1,802:
Comma list: 78/77, 81/80, 99/98, 120/119, 135/133, 144/143
Comma list: 78/77, 81/80, 99/98, 120/119, 135/133, 144/143


Mapping: {{mapping| 1 1 0 2 3 3 2 1 | 0 5 20 7 4 6 18 28 }}
{{Mapping|legend=0| 1 1 0 2 3 3 2 1 | 0 5 20 7 4 6 18 28 }}


Optimal tunings:  
Optimal tunings:  
Line 1,838: Line 1,838:
Comma list: 81/80, 99/98, 2541/2500
Comma list: 81/80, 99/98, 2541/2500


Mapping: {{mapping| 1 -1 -8 -7 -11 | 0 5 20 19 28 }}
{{Mapping|legend=0| 1 -1 -8 -7 -11 | 0 5 20 19 28 }}


Optimal tunings:  
Optimal tunings:  
Line 1,884: Line 1,884:
Comma list: 45/44, 50/49, 81/80
Comma list: 45/44, 50/49, 81/80


Mapping: {{mapping| 2 0 -8 -7 -12 | 0 1 4 4 6 }}
{{Mapping|legend=0| 2 0 -8 -7 -12 | 0 1 4 4 6 }}


Optimal tunings:  
Optimal tunings:  
Line 1,903: Line 1,903:
Comma list: 45/44, 50/49, 78/77, 81/80
Comma list: 45/44, 50/49, 78/77, 81/80


Mapping: {{mapping| 2 0 -8 -7 -12 -21 | 0 1 4 4 6 9 }}
{{Mapping|legend=0| 2 0 -8 -7 -12 -21 | 0 1 4 4 6 9 }}


Optimal tunings:  
Optimal tunings:  
Line 1,922: Line 1,922:
Comma list: 45/44, 50/49, 78/77, 81/80, 85/84
Comma list: 45/44, 50/49, 78/77, 81/80, 85/84


Mapping: {{mapping| 2 0 -8 -7 -12 -21 5 | 0 1 4 4 6 9 1 }}
{{Mapping|legend=0| 2 0 -8 -7 -12 -21 5 | 0 1 4 4 6 9 1 }}


Optimal tunings:  
Optimal tunings:  
Line 1,937: Line 1,937:
Comma list: 45/44, 50/49, 57/56, 78/77, 81/80, 85/84
Comma list: 45/44, 50/49, 57/56, 78/77, 81/80, 85/84


Mapping: {{mapping| 2 0 -8 -7 -12 -21 5 -1 | 0 1 4 4 6 9 1 3 }}
{{Mapping|legend=0| 2 0 -8 -7 -12 -21 5 -1 | 0 1 4 4 6 9 1 3 }}


Optimal tunings:  
Optimal tunings:  
Line 1,952: Line 1,952:
Comma list: 27/26, 40/39, 45/44, 50/49
Comma list: 27/26, 40/39, 45/44, 50/49


Mapping: {{mapping| 2 0 -8 -7 -12 -2 | 0 1 4 4 6 3 }}
{{Mapping|legend=0| 2 0 -8 -7 -12 -2 | 0 1 4 4 6 3 }}


Optimal tunings:  
Optimal tunings:  
Line 1,967: Line 1,967:
Comma list: 33/32, 50/49, 55/54
Comma list: 33/32, 50/49, 55/54


Mapping: {{mapping| 2 0 -8 -7 10 | 0 1 4 4 -1 }}
{{Mapping|legend=0| 2 0 -8 -7 10 | 0 1 4 4 -1 }}


Optimal tunings:  
Optimal tunings:  
Line 1,982: Line 1,982:
Comma list: 50/49, 56/55, 81/77
Comma list: 50/49, 56/55, 81/77


Mapping: {{mapping| 2 0 -8 -7 7 | 0 1 4 4 0 }}
{{Mapping|legend=0| 2 0 -8 -7 7 | 0 1 4 4 0 }}


Optimal tunings:  
Optimal tunings:  
Line 2,001: Line 2,001:
Comma list: 50/49, 81/80, 864/847
Comma list: 50/49, 81/80, 864/847


Mapping: {{mapping| 2 1 -4 -3 8 | 0 2 8 8 -1 }}
{{Mapping|legend=0| 2 1 -4 -3 8 | 0 2 8 8 -1 }}


: mapping generators: ~7/5, ~16/11
: mapping generators: ~7/5, ~16/11
Line 2,018: Line 2,018:
Comma list: 50/49, 78/77, 81/80, 144/143
Comma list: 50/49, 78/77, 81/80, 144/143


Mapping: {{mapping| 2 1 -4 -3 8 2 | 0 2 8 8 -1 5 }}
{{Mapping|legend=0| 2 1 -4 -3 8 2 | 0 2 8 8 -1 5 }}


Optimal tunings:  
Optimal tunings:  
Line 2,033: Line 2,033:
Comma list: 50/49, 78/77, 81/80, 85/84, 144/143
Comma list: 50/49, 78/77, 81/80, 85/84, 144/143


Mapping: {{mapping| 2 1 -4 -3 8 2 6 | 0 2 8 8 -1 5 2 }}
{{Mapping|legend=0| 2 1 -4 -3 8 2 6 | 0 2 8 8 -1 5 2 }}


Optimal tunings:  
Optimal tunings:  
Line 2,048: Line 2,048:
Comma list: 50/49, 57/56, 78/77, 81/80, 85/84, 144/143
Comma list: 50/49, 57/56, 78/77, 81/80, 85/84, 144/143


Mapping: {{mapping| 2 1 -4 -3 8 2 6 2 | 0 2 8 8 -1 5 2 6 }}
{{Mapping|legend=0| 2 1 -4 -3 8 2 6 2 | 0 2 8 8 -1 5 2 6 }}


Optimal tunings:  
Optimal tunings:  
Line 2,084: Line 2,084:
Comma list: 81/80, 245/242, 385/384
Comma list: 81/80, 245/242, 385/384


Mapping: {{mapping| 2 1 -4 11 8 | 0 2 8 -5 -1 }}
{{Mapping|legend=0| 2 1 -4 11 8 | 0 2 8 -5 -1 }}


Optimal tunings:  
Optimal tunings:  
Line 2,099: Line 2,099:
Comma list: 81/80, 105/104, 144/143, 245/242
Comma list: 81/80, 105/104, 144/143, 245/242


Mapping: {{mapping| 2 1 -4 11 8 2 | 0 2 8 -5 -1 5 }}
{{Mapping|legend=0| 2 1 -4 11 8 2 | 0 2 8 -5 -1 5 }}


Optimal tunings:  
Optimal tunings:  
Line 2,114: Line 2,114:
Comma list: 81/80, 105/104, 144/143, 245/242, 273/272
Comma list: 81/80, 105/104, 144/143, 245/242, 273/272


Mapping: {{mapping| 2 1 -4 11 8 2 6 | 0 2 8 -5 -1 5 2 }}
{{Mapping|legend=0| 2 1 -4 11 8 2 6 | 0 2 8 -5 -1 5 2 }}


Optimal tunings:  
Optimal tunings:  
Line 2,129: Line 2,129:
Comma list: 81/80, 105/104, 133/132, 144/143, 171/170, 210/209
Comma list: 81/80, 105/104, 133/132, 144/143, 171/170, 210/209


Mapping: {{mapping| 2 1 -4 11 8 2 6 2 | 0 2 8 -5 -1 5 2 6 }}
{{Mapping|legend=0| 2 1 -4 11 8 2 6 2 | 0 2 8 -5 -1 5 2 6 }}


Optimal tunings:  
Optimal tunings:  
Line 2,165: Line 2,165:
Comma list: 81/80, 99/98, 73728/73205
Comma list: 81/80, 99/98, 73728/73205


Mapping: {{mapping| 2 1 -4 4 8 | 0 4 16 3 -2 }}
{{Mapping|legend=0| 2 1 -4 4 8 | 0 4 16 3 -2 }}


Optimal tunings:  
Optimal tunings:  
Line 2,180: Line 2,180:
Comma list: 81/80, 99/98, 144/143, 2200/2197
Comma list: 81/80, 99/98, 144/143, 2200/2197


Mapping: {{mapping| 2 1 -4 4 8 2 | 0 4 16 3 -2 10 }}
{{Mapping|legend=0| 2 1 -4 4 8 2 | 0 4 16 3 -2 10 }}


Optimal tunings:  
Optimal tunings:  
Line 2,216: Line 2,216:
Comma list: 81/80, 385/384, 2401/2376
Comma list: 81/80, 385/384, 2401/2376


Mapping: {{mapping| 5 0 -20 14 41 | 0 1 4 0 -3 }}
{{Mapping|legend=0| 5 0 -20 14 41 | 0 1 4 0 -3 }}


Optimal tunings:  
Optimal tunings:  
Line 2,231: Line 2,231:
Comma list: 81/80, 105/104, 144/143, 2401/2376
Comma list: 81/80, 105/104, 144/143, 2401/2376


Mapping: {{mapping| 5 0 -20 14 41 -21 | 0 1 4 0 -3 5 }}
{{Mapping|legend=0| 5 0 -20 14 41 -21 | 0 1 4 0 -3 5 }}


Optimal tunings:  
Optimal tunings:  
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