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Würschmidt family: Difference between revisions

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m →Würschmidt: Add bottom end of optimal ET sequence
m →Hemiwürschmidt: update keys
Line 150: Line 150:
[[Comma list]]: 2401/2400, 3136/3125
[[Comma list]]: 2401/2400, 3136/3125


[[Mapping]]: [{{val| 1 15 4 7 }}, {{val| 0 -16 -2 -5 }}]
{{Mapping|legend=1| 1 15 4 7 | 0 -16 -2 -5 }}


{{Multival|legend=1| 16 2 5 -34 -37 6 }}
{{Multival|legend=1| 16 2 5 -34 -37 6 }}


[[POTE generator]]: ~28/25 = 193.898
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~28/25 = 193.898


{{Optimal ET sequence|legend=1| 31, 68, 99, 229, 328, 557c, 885cc }}
{{Optimal ET sequence|legend=1| 31, 68, 99, 229, 328, 557c, 885cc }}
Line 165: Line 165:
Comma list: 243/242, 441/440, 3136/3125
Comma list: 243/242, 441/440, 3136/3125


Mapping: [{{val| 1 15 4 7 37 }}, {{val| 0 -16 -2 -5 -40 }}]
Mapping: {{mapping| 1 15 4 7 37 | 0 -16 -2 -5 -40 }}


POTE generator: ~28/25 = 193.840
Optimal tuning (POTE): ~2 = 1\1, ~28/25 = 193.840


{{Optimal ET sequence|legend=1| 31, 99e, 130, 650ce, 811ce }}
{{Optimal ET sequence|legend=1| 31, 99e, 130, 650ce, 811ce }}
Line 178: Line 178:
Comma list: 243/242, 351/350, 441/440, 3584/3575
Comma list: 243/242, 351/350, 441/440, 3584/3575


Mapping: [{{val| 1 15 4 7 37 -29 }}, {{val| 0 -16 -2 -5 -40 39 }}]
Mapping: {{mapping| 1 15 4 7 37 -29 | 0 -16 -2 -5 -40 39 }}


POTE generator: ~28/25 = 193.829
Optimal tuning (POTE): ~2 = 1\1, ~28/25 = 193.829


{{Optimal ET sequence|legend=1| 31, 99e, 130, 291, 421e, 551ce }}
{{Optimal ET sequence|legend=1| 31, 99e, 130, 291, 421e, 551ce }}
Line 189: Line 189:
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Comma list: 144/143, 196/195, 243/242, 625/624
Comma list: 121/120, 176/175, 196/195, 275/273


Mapping: [{{val| 1 15 4 7 37 -3 }}, {{val| 0 -16 -2 -5 -40 8 }}]
Mapping: {{mapping| 1 15 4 7 37 -3 | 0 -16 -2 -5 -40 8 }}


POTE generator: ~28/25 = 193.918
Optimal tuning (POTE): ~2 = 1\1, ~28/25 = 193.918


{{Optimal ET sequence|legend=1| 31, 68e, 99ef }}
{{Optimal ET sequence|legend=1| 31, 68e, 99ef }}
Line 204: Line 204:
Comma list: 121/120, 176/175, 1375/1372
Comma list: 121/120, 176/175, 1375/1372


Mapping: [{{val| 1 15 4 7 11 }}, {{val| 0 -16 -2 -5 -9 }}]
Mapping: {{mapping| 1 15 4 7 11 | 0 -16 -2 -5 -9 }}


POTE generator: ~28/25 = 193.884
Optimal tuning (POTE): ~2 = 1\1, ~28/25 = 193.884


{{Optimal ET sequence|legend=1| 31, 68, 99, 130e, 229e }}
{{Optimal ET sequence|legend=1| 31, 68, 99, 130e, 229e }}
Line 217: Line 217:
Comma list: 121/120, 176/175, 196/195, 275/273
Comma list: 121/120, 176/175, 196/195, 275/273


Mapping: [{{val| 1 15 4 7 11 -3 }}, {{val| 0 -16 -2 -5 -9 8 }}]
Mapping: {{mapping| 1 15 4 7 11 -3 | 0 -16 -2 -5 -9 8 }}


POTE generator: ~28/25 = 194.004
Optimal tuning (POTE): ~2 = 1\1, ~28/25 = 194.004


{{Optimal ET sequence|legend=1| 31, 68, 99f, 167ef }}
{{Optimal ET sequence|legend=1| 31, 68, 99f, 167ef }}
Line 230: Line 230:
Comma list: 66/65, 105/104, 121/120, 1375/1372
Comma list: 66/65, 105/104, 121/120, 1375/1372


Mapping: [{{val| 1 15 4 7 11 23 }}, {{val| 0 -16 -2 -5 -9 -23 }}]
Mapping: {{mapping| 1 15 4 7 11 23 | 0 -16 -2 -5 -9 -23 }}


POTE generator: ~28/25 = 193.698
Optimal tuning (POTE): ~2 = 1\1, ~28/25 = 193.698


{{Optimal ET sequence|legend=1| 6f, 31 }}
{{Optimal ET sequence|legend=1| 6f, 31 }}
Line 245: Line 245:
Comma list: 2401/2400, 3025/3024, 3136/3125
Comma list: 2401/2400, 3025/3024, 3136/3125


Mapping: [{{val| 1 15 4 7 24 }}, {{val| 0 -32 -4 -10 -49 }}]
Mapping: {{mapping| 1 15 4 7 24 | 0 -32 -4 -10 -49 }}


Mapping generators: ~2, ~147/110
: mapping generators: ~2, ~147/110


POTE generator: ~147/110 = 503.0404
Optimal tuning (POTE): ~2 = 1\1, ~147/110 = 503.0404


{{Optimal ET sequence|legend=1| 31, 105be, 136e, 167, 198, 427c }}
{{Optimal ET sequence|legend=1| 31, 105be, 136e, 167, 198, 427c }}
Line 260: Line 260:
Comma list: 2401/2400, 3136/3125, 9801/9800
Comma list: 2401/2400, 3136/3125, 9801/9800


Mapping: [{{val| 2 14 6 9 -10 }}, {{val| 0 -16 -2 -5 25 }}]
Mapping: {{mapping| 2 14 6 9 -10 | 0 -16 -2 -5 25 }}


Mapping generators: ~99/70, ~495/392
: mapping generators: ~99/70, ~495/392


POTE generator: ~28/25 = 193.9021
Optimal tuning (POTE): ~99/70 = 1\2, ~28/25 = 193.9021


{{Optimal ET sequence|legend=1| 62e, 68, 130, 198, 328 }}
{{Optimal ET sequence|legend=1| 62e, 68, 130, 198, 328 }}
Line 275: Line 275:
Comma list: 676/675, 1001/1000, 1716/1715, 3136/3125
Comma list: 676/675, 1001/1000, 1716/1715, 3136/3125


Mapping: [{{val| 2 14 6 9 -10 25 }}, {{val| 0 -16 -2 -5 25 -26 }}]
Mapping: {{mapping| 2 14 6 9 -10 25 | 0 -16 -2 -5 25 -26 }}


POTE generator: ~28/25 = 193.9035
Optimal tuning (POTE): ~99/70 = 1\2, ~28/25 = 193.9035


{{Optimal ET sequence|legend=1| 62e, 68, 130, 198, 328 }}
{{Optimal ET sequence|legend=1| 62e, 68, 130, 198, 328 }}
Line 288: Line 288:
Comma list: 289/288, 442/441, 561/560, 676/675, 1632/1625
Comma list: 289/288, 442/441, 561/560, 676/675, 1632/1625


Mapping: [{{val| 2 14 6 9 -10 25 19 }}, {{val| 0 -16 -2 -5 25 -26 -16 }}]
Mapping: {{mapping| 2 14 6 9 -10 25 19 | 0 -16 -2 -5 25 -26 -16 }}


POTE generator: ~28/25 = 193.9112
Optimal tuning (POTE): ~17/12 = 1\2, ~28/25 = 193.9112


{{Optimal ET sequence|legend=1| 62e, 68, 130, 198, 328g, 526cfgg }}
{{Optimal ET sequence|legend=1| 62e, 68, 130, 198, 328g, 526cfgg }}
Line 301: Line 301:
Comma list: 289/288, 442/441, 456/455, 476/475, 561/560, 627/625
Comma list: 289/288, 442/441, 456/455, 476/475, 561/560, 627/625


Mapping: [{{val| 2 14 6 9 -10 25 19 20 }}, {{val| 0 -16 -2 -5 25 -26 -16 -17 }}]
Mapping: {{mapping| 2 14 6 9 -10 25 19 20 | 0 -16 -2 -5 25 -26 -16 -17 }}


POTE generator: ~19/17 = 193.9145
Optimal tuning (POTE): ~17/12 = 1\2, ~19/17 = 193.9145


{{Optimal ET sequence|legend=1| 62e, 68, 130, 198, 328g, 526cfgg }}
{{Optimal ET sequence|legend=1| 62e, 68, 130, 198, 328g, 526cfgg }}
Line 314: Line 314:
Comma list: 256/255, 676/675, 715/714, 1001/1000, 1225/1224
Comma list: 256/255, 676/675, 715/714, 1001/1000, 1225/1224


Mapping: [{{val| 2 14 6 9 -10 25 -4 }}, {{val| 0 -16 -2 -5 25 -26 18 }}]
Mapping: {{mapping| 2 14 6 9 -10 25 -4 | 0 -16 -2 -5 25 -26 18 }}


POTE generator: ~28/25 = 193.9112
Optimal tuning (POTE): ~99/70 = 1\2, ~28/25 = 193.9112


{{Optimal ET sequence|legend=1| 62eg, 68, 130g, 198g }}
{{Optimal ET sequence|legend=1| 62eg, 68, 130g, 198g }}
Line 327: Line 327:
Comma list: 256/255, 286/285, 400/399, 476/475, 495/494, 1225/1224
Comma list: 256/255, 286/285, 400/399, 476/475, 495/494, 1225/1224


Mapping: [{{val| 2 14 6 9 -10 25 -4 -3 }}, {{val| 0 -16 -2 -5 25 -26 18 17 }}]
Mapping: {{mapping| 2 14 6 9 -10 25 -4 -3 | 0 -16 -2 -5 25 -26 18 17 }}


POTE generator: ~19/17 = 193.9428
Optimal tuning (POTE): ~99/70 = 1\2, ~19/17 = 193.9428


{{Optimal ET sequence|legend=1| 62egh, 68, 130gh, 198gh }}
{{Optimal ET sequence|legend=1| 62egh, 68, 130gh, 198gh }}
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