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Semaphoresmic clan: Difference between revisions

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Template for mappings
Line 8: Line 8:
[[Comma list]]: 49/48
[[Comma list]]: 49/48


[[Sval]] [[mapping]]: [{{val| 1 0 2 }}, {{val| 0 2 1 }}]
{{Mapping|legend=2| 1 0 2 | 0 2 1 }}


: sval mapping generators: ~2, ~7/4
: sval mapping generators: ~2, ~7/4


[[Gencom]] [[mapping]]: [{{val| 1 2 0 3 }}, {{val| 0 -2 0 -1 }}]
{{Mapping|legend=3| 1 2 0 3 | 0 -2 0 -1 }}


: [[gencom]]: [2 7/6; 49/48]
: [[gencom]]: [2 7/6; 49/48]
Line 53: Line 53:
[[Comma list]]: 16875/16384
[[Comma list]]: 16875/16384


[[Mapping]]: [{{val| 1 2 2 }}, {{val| 0 -4 3 }}]
{{Mapping|legend=1| 1 2 2 | 0 -4 3 }}


: mapping generators: ~2, ~16/15
: mapping generators: ~2, ~16/15
Line 70: Line 70:
[[Comma list]]: 49/48, 225/224
[[Comma list]]: 49/48, 225/224


[[Mapping]]: [{{val| 1 2 2 3 }}, {{val| 0 -4 3 -2 }}]
{{Mapping|legend=1| 1 2 2 3 | 0 -4 3 -2 }}


{{Multival|legend=1| 4 -3 2 -14 -8 13 }}
{{Multival|legend=1| 4 -3 2 -14 -8 13 }}
Line 85: Line 85:
Comma list: 49/48, 65/64, 91/90
Comma list: 49/48, 65/64, 91/90


Sval mapping: [{{val| 1 2 2 3 4 }}, {{val| 0 -4 3 -2 -3 }}]
Sval mapping: {{mapping| 1 2 2 3 4 | 0 -4 3 -2 -3 }}


Gencom mapping: [{{val| 1 2 2 3 0 4 }}, {{val| 0 -4 3 -2 0 -3 }}]
Gencom mapping: {{mapping| 1 2 2 3 0 4 | 0 -4 3 -2 0 -3 }}


: gencom: [2 14/13; 49/48 65/64 91/90]
: gencom: [2 14/13; 49/48 65/64 91/90]
Line 100: Line 100:
Comma list: 45/44, 49/48, 56/55
Comma list: 45/44, 49/48, 56/55


Mapping: [{{val| 1 2 2 3 4 }}, {{val| 0 -4 3 -2 -5 }}]
Mapping: {{mapping| 1 2 2 3 4 | 0 -4 3 -2 -5 }}


Optimal tuning (POTE): ~2 = 1\1, ~15/14 = 126.474
Optimal tuning (POTE): ~2 = 1\1, ~15/14 = 126.474
Line 113: Line 113:
Comma list: 45/44, 49/48, 56/55, 78/77
Comma list: 45/44, 49/48, 56/55, 78/77


Mapping: [{{val| 1 2 2 3 4 4 }}, {{val| 0 -4 3 -2 -5 -3 }}]
Mapping: {{mapping| 1 2 2 3 4 4 | 0 -4 3 -2 -5 -3 }}


Optimal tuning (POTE): ~2 = 1\1, ~14/13 = 126.431
Optimal tuning (POTE): ~2 = 1\1, ~14/13 = 126.431
Line 126: Line 126:
Comma list: 49/48, 100/99, 225/224
Comma list: 49/48, 100/99, 225/224


Mapping: [{{val| 1 2 2 3 2 }}, {{val| 0 -4 3 -2 14 }}]
Mapping: {{mapping| 1 2 2 3 2 | 0 -4 3 -2 14 }}


Optimal tuning (POTE): ~2 = 1\1, ~15/14 = 124.767
Optimal tuning (POTE): ~2 = 1\1, ~15/14 = 124.767
Line 139: Line 139:
Comma list: 49/48, 65/64, 91/90, 875/858
Comma list: 49/48, 65/64, 91/90, 875/858


Mapping: [{{val| 1 2 2 3 2 4 }}, {{val| 0 -4 3 -2 14 -3 }}]
Mapping: {{mapping| 1 2 2 3 2 4 | 0 -4 3 -2 14 -3 }}


Optimal tuning (POTE): ~2 = 1\1, ~14/13 = 124.716
Optimal tuning (POTE): ~2 = 1\1, ~14/13 = 124.716
Line 152: Line 152:
Comma list: 33/32, 49/48, 77/75
Comma list: 33/32, 49/48, 77/75


Mapping: [{{val| 1 2 2 3 3 }}, {{val| 0 -4 3 -2 4 }}]
Mapping: {{mapping| 1 2 2 3 3 | 0 -4 3 -2 4 }}


Optimal tuning (POTE): ~2 = 1\1, ~15/14 = 127.039
Optimal tuning (POTE): ~2 = 1\1, ~15/14 = 127.039
Line 165: Line 165:
Comma list: 33/32, 49/48, 65/64, 91/90
Comma list: 33/32, 49/48, 65/64, 91/90


Mapping: [{{val| 1 2 2 3 3 4 }}, {{val| 0 -4 3 -2 4 -3 }}]
Mapping: {{mapping| 1 2 2 3 3 4 | 0 -4 3 -2 4 -3 }}


Optimal tuning (POTE): ~2 = 1\1, ~14/13 = 127.039
Optimal tuning (POTE): ~2 = 1\1, ~14/13 = 127.039
Line 178: Line 178:
Comma list: 49/48, 55/54, 225/224
Comma list: 49/48, 55/54, 225/224


Mapping: [{{val| 1 2 2 3 5 }}, {{val| 0 -4 3 -2 -15 }}]
Mapping: {{mapping| 1 2 2 3 5 | 0 -4 3 -2 -15 }}


Optimal tuning (POTE): ~2 = 1\1, ~15/14 = 124.539
Optimal tuning (POTE): ~2 = 1\1, ~15/14 = 124.539
Line 191: Line 191:
Comma list: 49/48, 55/54, 65/64, 91/90
Comma list: 49/48, 55/54, 65/64, 91/90


Mapping: [{{val| 1 2 2 3 5 4 }}, {{val| 0 -4 3 -2 -15 -3 }}]
Mapping: {{mapping| 1 2 2 3 5 4 | 0 -4 3 -2 -15 -3 }}


Optimal tuning (POTE): ~2 = 1\1, ~14/13 = 124.545
Optimal tuning (POTE): ~2 = 1\1, ~14/13 = 124.545
Line 204: Line 204:
Comma list: 49/48, 121/120, 225/224
Comma list: 49/48, 121/120, 225/224


Mapping: [{{val| 1 6 -1 5 4 }}, {{val| 0 -8 6 -4 -1 }}]
Mapping: {{mapping| 1 6 -1 5 4 | 0 -8 6 -4 -1 }}


Optimal tuning (POTE): ~2 = 1\1, ~11/8 = 537.186
Optimal tuning (POTE): ~2 = 1\1, ~11/8 = 537.186
Line 217: Line 217:
Comma list: 49/48, 65/64, 91/90, 121/120
Comma list: 49/48, 65/64, 91/90, 121/120


Mapping: [{{val| 1 6 -1 5 4 7 }}, {{val| 0 -8 6 -4 -1 -6 }}]
Mapping: {{mapping| 1 6 -1 5 4 7 | 0 -8 6 -4 -1 -6 }}


Optimal tuning (POTE): ~2 = 1\1, ~11/8 = 537.208
Optimal tuning (POTE): ~2 = 1\1, ~11/8 = 537.208
Line 230: Line 230:
Comma list: 49/48, 65/64, 91/90, 121/120, 154/153
Comma list: 49/48, 65/64, 91/90, 121/120, 154/153


Mapping: [{{val| 1 6 -1 5 4 7 -2 }}, {{val| 0 -8 6 -4 -1 -6 11 }}]
Mapping: {{mapping| 1 6 -1 5 4 7 -2 | 0 -8 6 -4 -1 -6 11 }}


Optimal tuning (POTE): ~2 = 1\1, ~11/8 = 537.230
Optimal tuning (POTE): ~2 = 1\1, ~11/8 = 537.230
Line 243: Line 243:
Comma list: 49/48, 65/64, 77/76, 91/90, 121/120, 154/153
Comma list: 49/48, 65/64, 77/76, 91/90, 121/120, 154/153


Mapping: [{{val| 1 6 -1 5 4 7 -2 7 }}, {{val| 0 -8 6 -4 -1 -6 11 -5 }}]
Mapping: {{mapping| 1 6 -1 5 4 7 -2 7 | 0 -8 6 -4 -1 -6 11 -5 }}


Optimal tuning (POTE): ~2 = 1\1, ~11/8 = 537.214
Optimal tuning (POTE): ~2 = 1\1, ~11/8 = 537.214
Line 256: Line 256:
[[Comma list]]: 49/48, 3584/3375
[[Comma list]]: 49/48, 3584/3375


[[Mapping]]: [{{val| 1 2 2 3 }}, {{val| 0 -6 5 -3 }}]
{{Mapping|legend=1| 1 2 2 3 | 0 -6 5 -3 }}


[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~16/15 = 80.9538
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~16/15 = 80.9538
Line 269: Line 269:
Comma list: 49/48, 77/75, 512/495
Comma list: 49/48, 77/75, 512/495


Mapping: [{{val| 1 2 2 3 3 }}, {{val| 0 -6 5 -3 7 }}]
Mapping: {{mapping| 1 2 2 3 3 | 0 -6 5 -3 7 }}


Optimal tuning (POTE): ~2 = 1\1, ~16/15 = 80.8171
Optimal tuning (POTE): ~2 = 1\1, ~16/15 = 80.8171
Line 282: Line 282:
Comma list: 49/48, 66/65, 77/75, 448/429
Comma list: 49/48, 66/65, 77/75, 448/429


Mapping: [{{val| 1 2 2 3 3 4 }}, {{val| 0 -6 5 -3 7 -4 }}]
Mapping: {{mapping| 1 2 2 3 3 4 | 0 -6 5 -3 7 -4 }}


Optimal tuning (POTE): ~2 = 1\1, ~16/15 = 81.0243
Optimal tuning (POTE): ~2 = 1\1, ~16/15 = 81.0243
Line 297: Line 297:
[[Comma list]]: 49/48, 28672/28125
[[Comma list]]: 49/48, 28672/28125


[[Mapping]]: [{{val| 1 6 1 5 }}, {{val| 0 -10 3 -5 }}]
[[Mapping]]: {{mapping| 1 6 1 5 | 0 -10 3 -5 }}


{{Multival|legend=1| 10 -3 5 -28 -20 20 }}
{{Multival|legend=1| 10 -3 5 -28 -20 20 }}
Line 312: Line 312:
Comma list: 49/48, 56/55, 1350/1331
Comma list: 49/48, 56/55, 1350/1331


Mapping: [{{val| 1 6 1 5 7 }}, {{val| 0 -10 3 -5 -8 }}]
Mapping: {{mapping| 1 6 1 5 7 | 0 -10 3 -5 -8 }}


Optimal tuning (POTE): ~2 = 1\1, ~15/11 = 529.729
Optimal tuning (POTE): ~2 = 1\1, ~15/11 = 529.729
Line 325: Line 325:
Comma list: 49/48, 56/55, 91/90, 847/845
Comma list: 49/48, 56/55, 91/90, 847/845


Mapping: [{{val| 1 6 1 5 7 9 }}, {{val| 0 -10 3 -5 -8 -12 }}]
Mapping: {{mapping| 1 6 1 5 7 9 | 0 -10 3 -5 -8 -12 }}


Optimal tuning (POTE): ~2 = 1\1, ~15/11 = 529.763
Optimal tuning (POTE): ~2 = 1\1, ~15/11 = 529.763
Line 338: Line 338:
Comma list: 49/48, 56/55, 91/90, 154/153, 375/374
Comma list: 49/48, 56/55, 91/90, 154/153, 375/374


Mapping: [{{val| 1 6 1 5 7 9 1 }}, {{val| 0 -10 3 -5 -8 -12 7 }}]
Mapping: {{mapping| 1 6 1 5 7 9 1 | 0 -10 3 -5 -8 -12 7 }}


Optimal tuning (POTE): ~2 = 1\1, ~15/11 = 529.695
Optimal tuning (POTE): ~2 = 1\1, ~15/11 = 529.695
Line 351: Line 351:
Comma list: 49/48, 56/55, 76/75, 91/90, 154/153, 190/187
Comma list: 49/48, 56/55, 76/75, 91/90, 154/153, 190/187


Mapping: [{{val| 1 6 1 5 7 9 1 6 }}, {{val| 0 -10 3 -5 -8 -12 7 -4 }}]
Mapping: {{mapping| 1 6 1 5 7 9 1 6 | 0 -10 3 -5 -8 -12 7 -4 }}


Optimal tuning (POTE): ~2 = 1\1, ~15/11 = 529.736
Optimal tuning (POTE): ~2 = 1\1, ~15/11 = 529.736
Line 366: Line 366:
[[Comma list]]: 49/48, 6561/6250
[[Comma list]]: 49/48, 6561/6250


[[Mapping]]: [{{val| 1 2 3 3 }}, {{val| 0 -10 -16 -5 }}]
{{Mapping|legend=1| 1 2 3 3 | 0 -10 -16 -5 }}


{{Multival|legend=1| 10 16 5 2 -20 -33 }}
{{Multival|legend=1| 10 16 5 2 -20 -33 }}
Line 381: Line 381:
Comma list: 49/48, 121/120, 567/550
Comma list: 49/48, 121/120, 567/550


Mapping: [{{val| 1 2 3 3 4 }}, {{val| 0 -10 -16 -5 -13 }}]
Mapping: {{mapping| 1 2 3 3 4 | 0 -10 -16 -5 -13 }}


Optimal tuning (POTE): ~2 = 1\1, ~36/35 = 50.826
Optimal tuning (POTE): ~2 = 1\1, ~36/35 = 50.826
Line 394: Line 394:
Comma list: 49/48, 66/65, 121/120, 351/350
Comma list: 49/48, 66/65, 121/120, 351/350


Mapping: [{{val| 1 2 3 3 4 4 }}, {{val| 0 -10 -16 -5 -13 -7 }}]
Mapping: {{mapping| 1 2 3 3 4 4 | 0 -10 -16 -5 -13 -7 }}


Optimal tuning (POTE): ~2 = 1\1, ~36/35 = 50.635
Optimal tuning (POTE): ~2 = 1\1, ~36/35 = 50.635
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