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Tetracot family: Difference between revisions

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Line 96: Line 96:
Comma list: 100/99, 243/242, 385/384
Comma list: 100/99, 243/242, 385/384


Mapping: {{mapping| 1 1 1 5 2 | 0 4 9 -15 10 }}
{{Mapping|legend=0| 1 1 1 5 2 | 0 4 9 -15 10 }}


Optimal tunings:  
Optimal tunings:  
Line 111: Line 111:
Comma list: 100/99, 105/104, 144/143, 243/242
Comma list: 100/99, 105/104, 144/143, 243/242


Mapping: {{mapping| 1 1 1 5 2 4 | 0 4 9 -15 10 -2 }}
{{Mapping|legend=0| 1 1 1 5 2 4 | 0 4 9 -15 10 -2 }}


Optimal tunings:  
Optimal tunings:  
Line 126: Line 126:
Comma list: 100/99, 105/104, 144/143, 154/153, 170/169
Comma list: 100/99, 105/104, 144/143, 154/153, 170/169


Mapping: {{mapping| 1 1 1 5 2 4 6 | 0 4 9 -15 10 -2 -13 }}
{{Mapping|legend=0| 1 1 1 5 2 4 6 | 0 4 9 -15 10 -2 -13 }}


Optimal tunings:  
Optimal tunings:  
Line 141: Line 141:
Comma list: 100/99, 105/104, 144/143, 154/153, 170/169, 171/169
Comma list: 100/99, 105/104, 144/143, 154/153, 170/169, 171/169


Mapping: {{mapping| 1 1 1 5 2 4 6 6 | 0 4 9 -15 10 -2 -13 -12 }}
{{Mapping|legend=0| 1 1 1 5 2 4 6 6 | 0 4 9 -15 10 -2 -13 -12 }}


Optimal tunings:  
Optimal tunings:  
Line 177: Line 177:
Comma list: 100/99, 225/224, 243/242
Comma list: 100/99, 225/224, 243/242


Mapping: {{mapping| 1 1 1 -1 2 | 0 4 9 26 10 }}
{{Mapping|legend=0| 1 1 1 -1 2 | 0 4 9 26 10 }}


Optimal tunings:  
Optimal tunings:  
Line 192: Line 192:
Comma list: 100/99, 144/143, 225/224, 243/242
Comma list: 100/99, 144/143, 225/224, 243/242


Mapping: {{mapping| 1 1 1 -1 2 4 | 0 4 9 26 10 -2 }}
{{Mapping|legend=0| 1 1 1 -1 2 4 | 0 4 9 26 10 -2 }}


Optimal tunings:  
Optimal tunings:  
Line 207: Line 207:
Comma list: 100/99, 120/119, 144/143, 170/169, 225/224
Comma list: 100/99, 120/119, 144/143, 170/169, 225/224


Mapping: {{mapping| 1 1 1 -1 2 4 6 | 0 4 9 26 10 -2 -13 }}
{{Mapping|legend=0| 1 1 1 -1 2 4 6 | 0 4 9 26 10 -2 -13 }}


Optimal tunings:  
Optimal tunings:  
Line 222: Line 222:
Comma list: 100/99, 120/119, 144/143, 170/169, 190/189, 225/224
Comma list: 100/99, 120/119, 144/143, 170/169, 190/189, 225/224


Mapping: {{mapping| 1 1 1 -1 2 4 6 0 | 0 4 9 26 10 -2 -13 29 }}
{{Mapping|legend=0| 1 1 1 -1 2 4 6 0 | 0 4 9 26 10 -2 -13 29 }}


Optimal tunings:  
Optimal tunings:  
Line 258: Line 258:
Comma list: 64/63, 100/99, 243/242
Comma list: 64/63, 100/99, 243/242


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


Optimal tunings:  
Optimal tunings:  
Line 273: Line 273:
Comma list: 64/63, 78/77, 100/99, 144/143
Comma list: 64/63, 78/77, 100/99, 144/143


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


Optimal tunings:  
Optimal tunings:  
Line 288: Line 288:
Comma list: 64/63, 78/77, 100/99, 120/119, 144/143
Comma list: 64/63, 78/77, 100/99, 120/119, 144/143


Mapping: {{mapping| 1 1 1 4 2 4 1 | 0 4 9 -8 10 -2 21 }}
{{Mapping|legend=0| 1 1 1 4 2 4 1 | 0 4 9 -8 10 -2 21 }}


Optimal tunings:  
Optimal tunings:  
Line 303: Line 303:
Comma list: 64/63, 78/77, 96/95, 100/99, 120/119, 144/143
Comma list: 64/63, 78/77, 96/95, 100/99, 120/119, 144/143


Mapping: {{mapping| 1 1 1 4 2 4 1 5 | 0 4 9 -8 10 -2 21 -5 }}
{{Mapping|legend=0| 1 1 1 4 2 4 1 5 | 0 4 9 -8 10 -2 21 -5 }}


Optimal tunings:  
Optimal tunings:  
Line 320: Line 320:
Comma list: 55/54, 64/63, 363/350
Comma list: 55/54, 64/63, 363/350


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


Optimal tunings:  
Optimal tunings:  
Line 335: Line 335:
Comma list: 55/54, 64/63, 66/65, 143/140
Comma list: 55/54, 64/63, 66/65, 143/140


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


Optimal tunings:  
Optimal tunings:  
Line 350: Line 350:
Comma list: 52/51, 55/54, 64/63, 66/65, 143/140
Comma list: 52/51, 55/54, 64/63, 66/65, 143/140


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


Optimal tunings:  
Optimal tunings:  
Line 365: Line 365:
Comma list: 52/51, 55/54, 64/63, 66/65, 77/76, 143/140
Comma list: 52/51, 55/54, 64/63, 66/65, 77/76, 143/140


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


Optimal tunings:  
Optimal tunings:  
Line 401: Line 401:
Comma list: 56/55, 100/99, 243/242
Comma list: 56/55, 100/99, 243/242


Mapping: {{mapping| 1 1 1 0 2 | 0 4 9 19 10 }}
{{Mapping|legend=0| 1 1 1 0 2 | 0 4 9 19 10 }}


Optimal tunings:  
Optimal tunings:  
Line 416: Line 416:
Comma list: 56/55, 91/90, 100/99, 243/242
Comma list: 56/55, 91/90, 100/99, 243/242


Mapping: {{mapping| 1 1 1 0 2 4 | 0 4 9 19 10 -2 }}
{{Mapping|legend=0| 1 1 1 0 2 4 | 0 4 9 19 10 -2 }}


Optimal tunings:  
Optimal tunings:  
Line 431: Line 431:
Comma list: 56/55, 91/90, 100/99, 136/135, 154/153
Comma list: 56/55, 91/90, 100/99, 136/135, 154/153


Mapping: {{mapping| 1 1 1 0 2 4 1 | 0 4 9 19 10 -2 21 }}
{{Mapping|legend=0| 1 1 1 0 2 4 1 | 0 4 9 19 10 -2 21 }}


Optimal tunings:  
Optimal tunings:  
Line 446: Line 446:
Comma list: 56/55, 76/75, 91/90, 100/99, 136/135, 154/153
Comma list: 56/55, 76/75, 91/90, 100/99, 136/135, 154/153


Mapping: {{mapping| 1 1 1 0 2 4 1 1 | 0 4 9 19 10 -2 21 22 }}
{{Mapping|legend=0| 1 1 1 0 2 4 1 1 | 0 4 9 19 10 -2 21 22 }}


Optimal tunings:  
Optimal tunings:  
Line 484: Line 484:
Comma list: 100/99, 243/242, 245/242
Comma list: 100/99, 243/242, 245/242


Mapping: {{mapping| 1 1 1 2 2 | 0 8 18 11 20 }}
{{Mapping|legend=0| 1 1 1 2 2 | 0 8 18 11 20 }}


Optimal tunings:  
Optimal tunings:  
Line 499: Line 499:
Comma list: 100/99, 144/143, 196/195, 243/242
Comma list: 100/99, 144/143, 196/195, 243/242


Mapping: {{mapping| 1 1 1 2 2 4 | 0 8 18 11 20 -4 }}
{{Mapping|legend=0| 1 1 1 2 2 4 | 0 8 18 11 20 -4 }}


Optimal tunings:  
Optimal tunings:  
Line 514: Line 514:
Comma list: 100/99, 120/119, 144/143, 154/153, 189/187
Comma list: 100/99, 120/119, 144/143, 154/153, 189/187


Mapping: {{mapping| 1 1 1 2 2 4 3 | 0 8 18 11 20 -4 15 }}
{{Mapping|legend=0| 1 1 1 2 2 4 3 | 0 8 18 11 20 -4 15 }}


Optimal tunings:  
Optimal tunings:  
Line 529: Line 529:
Comma list: 100/99, 120/119, 133/132, 144/143, 154/153, 189/187
Comma list: 100/99, 120/119, 133/132, 144/143, 154/153, 189/187


Mapping: {{mapping| 1 1 1 2 2 4 3 3 | 0 8 18 11 20 -4 15 17 }}
{{Mapping|legend=0| 1 1 1 2 2 4 3 3 | 0 8 18 11 20 -4 15 17 }}


Optimal tunings:  
Optimal tunings:  
Line 544: Line 544:
Comma list: 78/77, 91/90, 100/99, 245/242
Comma list: 78/77, 91/90, 100/99, 245/242


Mapping: {{mapping| 1 1 1 2 2 2 | 0 8 18 11 20 23 }}
{{Mapping|legend=0| 1 1 1 2 2 2 | 0 8 18 11 20 23 }}


Optimal tunings:  
Optimal tunings:  
Line 559: Line 559:
Comma list: 52/51, 78/77, 91/90, 100/99, 189/187
Comma list: 52/51, 78/77, 91/90, 100/99, 189/187


Mapping: {{mapping| 1 1 1 2 2 2 3 | 0 8 18 11 20 23 15 }}
{{Mapping|legend=0| 1 1 1 2 2 2 3 | 0 8 18 11 20 23 15 }}


Optimal tunings:  
Optimal tunings:  
Line 574: Line 574:
Comma list: 52/51, 78/77, 91/90, 100/99, 133/132, 189/187
Comma list: 52/51, 78/77, 91/90, 100/99, 133/132, 189/187


Mapping: {{mapping| 1 1 1 2 2 2 3 3 | 0 8 18 11 20 23 15 17 }}
{{Mapping|legend=0| 1 1 1 2 2 2 3 3 | 0 8 18 11 20 23 15 17 }}


Optimal tunings:  
Optimal tunings:  
Line 589: Line 589:
Comma list: 100/99, 105/104, 243/242, 245/242
Comma list: 100/99, 105/104, 243/242, 245/242


Mapping: {{mapping| 1 1 1 2 2 1 | 0 8 18 11 20 37 }}
{{Mapping|legend=0| 1 1 1 2 2 1 | 0 8 18 11 20 37 }}


Optimal tunings:  
Optimal tunings:  
Line 604: Line 604:
Comma list: 100/99, 105/104, 120/119, 154/153, 243/242
Comma list: 100/99, 105/104, 120/119, 154/153, 243/242


Mapping: {{mapping| 1 1 1 2 2 1 3 | 0 8 18 11 20 37 15 }}
{{Mapping|legend=0| 1 1 1 2 2 1 3 | 0 8 18 11 20 37 15 }}


Optimal tunings:  
Optimal tunings:  
Line 619: Line 619:
Comma list: 100/99, 105/104, 120/119, 133/132, 154/153, 209/208
Comma list: 100/99, 105/104, 120/119, 133/132, 154/153, 209/208


Mapping: {{mapping| 1 1 1 2 2 1 3 3 | 0 8 18 11 20 37 15 17 }}
{{Mapping|legend=0| 1 1 1 2 2 1 3 3 | 0 8 18 11 20 37 15 17 }}


Optimal tunings:  
Optimal tunings:  
Line 634: Line 634:
Comma list: 100/99, 243/242, 245/242, 343/338
Comma list: 100/99, 243/242, 245/242, 343/338


Mapping: {{mapping| 1 -7 -17 -9 -18 -14 | 0 16 36 22 40 33 }}
{{Mapping|legend=0| 1 -7 -17 -9 -18 -14 | 0 16 36 22 40 33 }}
: mapping generators: ~2, ~13/9
: mapping generators: ~2, ~13/9


Line 650: Line 650:
Comma list: 245/243, 385/384, 1375/1372
Comma list: 245/243, 385/384, 1375/1372


Mapping: {{mapping| 1 1 1 2 5 | 0 8 18 11 -21 }}
{{Mapping|legend=0| 1 1 1 2 5 | 0 8 18 11 -21 }}


Optimal tunings:  
Optimal tunings:  
Line 665: Line 665:
Comma list: 196/195, 245/243, 275/273, 385/384
Comma list: 196/195, 245/243, 275/273, 385/384


Mapping: {{mapping| 1 1 1 2 5 4 | 0 8 18 11 -21 -4 }}
{{Mapping|legend=0| 1 1 1 2 5 4 | 0 8 18 11 -21 -4 }}


Optimal tunings:  
Optimal tunings:  
Line 680: Line 680:
Comma list: 154/153, 170/169, 196/195, 245/243, 256/255
Comma list: 154/153, 170/169, 196/195, 245/243, 256/255


Mapping: {{mapping| 1 1 1 2 5 4 6 | 0 8 18 11 -21 -4 -26 }}
{{Mapping|legend=0| 1 1 1 2 5 4 6 | 0 8 18 11 -21 -4 -26 }}


Optimal tunings:  
Optimal tunings:  
Line 695: Line 695:
Comma list: 154/153, 170/169, 190/189, 196/195, 209/208, 245/243
Comma list: 154/153, 170/169, 190/189, 196/195, 209/208, 245/243


Mapping: {{mapping| 1 1 1 2 5 4 6 3 | 0 8 18 11 -21 -4 -26 17 }}
{{Mapping|legend=0| 1 1 1 2 5 4 6 3 | 0 8 18 11 -21 -4 -26 17 }}


Optimal tunings:  
Optimal tunings:  
Line 728: Line 728:
Comma list: 100/99, 243/242, 1375/1372
Comma list: 100/99, 243/242, 1375/1372


Mapping: {{mapping| 1 1 1 1 2 | 0 12 27 37 30 }}
{{Mapping|legend=0| 1 1 1 1 2 | 0 12 27 37 30 }}


Optimal tunings:  
Optimal tunings:  
Line 743: Line 743:
Comma list: 100/99, 196/195, 243/242, 275/273
Comma list: 100/99, 196/195, 243/242, 275/273


Mapping: {{mapping| 1 1 1 1 2 2 | 0 12 27 37 30 35 }}
{{Mapping|legend=0| 1 1 1 1 2 2 | 0 12 27 37 30 35 }}


Optimal tunings:  
Optimal tunings:  
Line 780: Line 780:
Comma list: 50/49, 99/98, 243/242
Comma list: 50/49, 99/98, 243/242


Mapping: {{mapping| 2 2 2 3 4 | 0 4 9 9 10 }}
{{Mapping|legend=0| 2 2 2 3 4 | 0 4 9 9 10 }}


Optimal tunings:  
Optimal tunings:  
Line 797: Line 797:
Comma list: 50/49, 78/77, 99/98, 243/242
Comma list: 50/49, 78/77, 99/98, 243/242


Mapping: {{mapping| 2 2 2 3 4 3 | 0 4 9 9 10 15 }}
{{Mapping|legend=0| 2 2 2 3 4 3 | 0 4 9 9 10 15 }}


Optimal tunings:  
Optimal tunings:  
Line 812: Line 812:
Comma list: 50/49, 78/77, 85/84, 99/98, 243/242
Comma list: 50/49, 78/77, 85/84, 99/98, 243/242


Mapping: {{mapping| 2 2 2 3 4 3 7 | 0 4 9 9 10 15 4 }}
{{Mapping|legend=0| 2 2 2 3 4 3 7 | 0 4 9 9 10 15 4 }}


Optimal tunings:  
Optimal tunings:  
Line 827: Line 827:
Comma list: 50/49, 78/77, 85/84, 99/98, 135/133, 243/242
Comma list: 50/49, 78/77, 85/84, 99/98, 135/133, 243/242


Mapping: {{mapping| 2 2 2 3 4 3 7 5 | 0 4 9 9 10 15 4 12 }}
{{Mapping|legend=0| 2 2 2 3 4 3 7 5 | 0 4 9 9 10 15 4 12 }}


Optimal tunings:  
Optimal tunings:  
Line 845: Line 845:
Comma list: 50/49, 99/98, 144/143, 243/242
Comma list: 50/49, 99/98, 144/143, 243/242


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


Optimal tunings:  
Optimal tunings:  
Line 860: Line 860:
Comma list: 50/49, 85/84, 99/98, 144/143, 243/242
Comma list: 50/49, 85/84, 99/98, 144/143, 243/242


Mapping: {{mapping| 2 2 2 3 4 8 7 | 0 4 9 9 10 -2 4 }}
{{Mapping|legend=0| 2 2 2 3 4 8 7 | 0 4 9 9 10 -2 4 }}


Optimal tunings:  
Optimal tunings:  
Line 875: Line 875:
Comma list: 50/49, 85/84, 99/98, 144/143, 190/189, 243/242
Comma list: 50/49, 85/84, 99/98, 144/143, 190/189, 243/242


Mapping: {{mapping| 2 2 2 3 4 8 7 5 | 0 4 9 9 10 -2 4 12}}
{{Mapping|legend=0| 2 2 2 3 4 8 7 5 | 0 4 9 9 10 -2 4 12}}


Optimal tunings:  
Optimal tunings:  
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