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Hemimean clan: Difference between revisions

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m Text replacement - "Mapping: {{mapping| " to "{{Mapping|legend=0| "
 
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Line 11: Line 11:
* ''[[Passion]]'' (+64/63 or 3125/3087) → [[Passion family #Septimal passion|Passion family]]
* ''[[Passion]]'' (+64/63 or 3125/3087) → [[Passion family #Septimal passion|Passion family]]
* [[Meantone]] (+81/80, 126/125, 225/224) → [[Meantone family #Septimal meantone|Meantone family]]
* [[Meantone]] (+81/80, 126/125, 225/224) → [[Meantone family #Septimal meantone|Meantone family]]
* ''[[Mohavila]]'' (+135/128 or 1323/1250) → [[Pelogic family #Mohavila|Pelogic family]]
* ''[[Mohavila]]'' (+135/128 or 1323/1250) → [[Mavila family #Mohavila|Mavila family]]
* ''[[Cohemimabila]]'' (+65536/64827) → [[Mabila family #Cohemimabila|Mabila family]]
* ''[[Cohemimabila]]'' (+65536/64827) → [[Mabila family #Cohemimabila|Mabila family]]
* ''[[Sycamore]]'' (+686/675 or 875/864) → [[Sycamore family #Septimal sycamore|Sycamore family]]
* ''[[Sycamore]]'' (+686/675 or 875/864) → [[Sycamore family #Septimal sycamore|Sycamore family]]
Line 19: Line 19:
* ''[[Bischismic]]'' (+32805/32768) → [[Schismatic family #Bischismic|Schismatic family]]
* ''[[Bischismic]]'' (+32805/32768) → [[Schismatic family #Bischismic|Schismatic family]]
* ''[[Clyde]]'' (+245/243) → [[Kleismic family #Clyde|Kleismic family]]
* ''[[Clyde]]'' (+245/243) → [[Kleismic family #Clyde|Kleismic family]]
* [[Parakleismic]] (+4375/4374) → [[Ragismic microtemperaments #Parakleismic|Ragismic microtemperaments]]
* [[Parakleismic]] (+4375/4374) → [[Parakleismic family #Parakleismic|Parakleismic family]]
* ''[[Arch]]'' (+5250987/5242880) → [[Escapade family #Arch|Escapade family]]
* ''[[Arch]]'' (+5250987/5242880) → [[Escapade family #Arch|Escapade family]]
* ''[[Subpental]]'' (+19683/19600) → [[Sensipent family #Sensipent|Sensipent family]]
* ''[[Subpental]]'' (+19683/19600) → [[Sensipent family #Sensipent|Sensipent family]]
* ''[[Doubloon]]'' (+33756345/33554432) → [[Vavoom family #Doubloon|Vavoom family]]
* ''[[Doubloon]]'' (+33756345/33554432) → [[Vavoom family #Doubloon|Vavoom family]]
* ''[[Decistearn]]'' (+118098/117649) → [[Stearnsmic clan #Decistearn|Stearnsmic clan]]
* ''[[Decistearn]]'' (+118098/117649) → [[Trisedodge family #Decistearn|Trisedodge family]]
* ''[[Quintagar]]'' (+33554432/33480783) → [[Quindromeda family #Quintagar|Quindromeda family]]
* ''[[Quintagar]]'' (+33554432/33480783) → [[Quindromeda family #Quintagar|Quindromeda family]]
* ''[[Rubidium]]'' (+4194304/4117715) → [[37th-octave temperaments]]
* ''[[Rubidium]]'' (+4194304/4117715) → [[37th-octave temperaments]]
Line 112: Line 112:
Comma list: 243/242, 441/440, 3136/3125
Comma list: 243/242, 441/440, 3136/3125


Mapping: {{mapping| 1 15 4 7 37 | 0 -16 -2 -5 -40 }}
{{Mapping|legend=0| 1 15 4 7 37 | 0 -16 -2 -5 -40 }}


Optimal tuning (POTE): ~2 = 1\1, ~28/25 = 193.840
Optimal tuning (POTE): ~2 = 1\1, ~28/25 = 193.840
Line 125: Line 125:
Comma list: 243/242, 351/350, 441/440, 3584/3575
Comma list: 243/242, 351/350, 441/440, 3584/3575


Mapping: {{mapping| 1 15 4 7 37 -29 | 0 -16 -2 -5 -40 39 }}
{{Mapping|legend=0| 1 15 4 7 37 -29 | 0 -16 -2 -5 -40 39 }}


Optimal tuning (POTE): ~2 = 1\1, ~28/25 = 193.829
Optimal tuning (POTE): ~2 = 1\1, ~28/25 = 193.829
Line 138: Line 138:
Comma list: 121/120, 176/175, 196/195, 275/273
Comma list: 121/120, 176/175, 196/195, 275/273


Mapping: {{mapping| 1 15 4 7 37 -3 | 0 -16 -2 -5 -40 8 }}
{{Mapping|legend=0| 1 15 4 7 37 -3 | 0 -16 -2 -5 -40 8 }}


Optimal tuning (POTE): ~2 = 1\1, ~28/25 = 193.918
Optimal tuning (POTE): ~2 = 1\1, ~28/25 = 193.918
Line 151: Line 151:
Comma list: 121/120, 176/175, 1375/1372
Comma list: 121/120, 176/175, 1375/1372


Mapping: {{mapping| 1 15 4 7 11 | 0 -16 -2 -5 -9 }}
{{Mapping|legend=0| 1 15 4 7 11 | 0 -16 -2 -5 -9 }}


Optimal tuning (POTE): ~2 = 1\1, ~28/25 = 193.884
Optimal tuning (POTE): ~2 = 1\1, ~28/25 = 193.884
Line 164: Line 164:
Comma list: 121/120, 176/175, 196/195, 275/273
Comma list: 121/120, 176/175, 196/195, 275/273


Mapping: {{mapping| 1 15 4 7 11 -3 | 0 -16 -2 -5 -9 8 }}
{{Mapping|legend=0| 1 15 4 7 11 -3 | 0 -16 -2 -5 -9 8 }}


Optimal tuning (POTE): ~2 = 1\1, ~28/25 = 194.004
Optimal tuning (POTE): ~2 = 1\1, ~28/25 = 194.004
Line 177: Line 177:
Comma list: 66/65, 105/104, 121/120, 1375/1372
Comma list: 66/65, 105/104, 121/120, 1375/1372


Mapping: {{mapping| 1 15 4 7 11 23 | 0 -16 -2 -5 -9 -23 }}
{{Mapping|legend=0| 1 15 4 7 11 23 | 0 -16 -2 -5 -9 -23 }}


Optimal tuning (POTE): ~2 = 1\1, ~28/25 = 193.698
Optimal tuning (POTE): ~2 = 1\1, ~28/25 = 193.698
Line 194: Line 194:
Comma list: 2401/2400, 3025/3024, 3136/3125
Comma list: 2401/2400, 3025/3024, 3136/3125


Mapping: {{mapping| 1 15 4 7 24 | 0 -32 -4 -10 -49 }}
{{Mapping|legend=0| 1 15 4 7 24 | 0 -32 -4 -10 -49 }}


: mapping generators: ~2, ~147/110
: mapping generators: ~2, ~147/110
Line 209: Line 209:
Comma list: 2401/2400, 3136/3125, 9801/9800
Comma list: 2401/2400, 3136/3125, 9801/9800


Mapping: {{mapping| 2 14 6 9 -10 | 0 -16 -2 -5 25 }}
{{Mapping|legend=0| 2 14 6 9 -10 | 0 -16 -2 -5 25 }}


: mapping generators: ~99/70, ~495/392
: mapping generators: ~99/70, ~495/392
Line 224: Line 224:
Comma list: 676/675, 1001/1000, 1716/1715, 3136/3125
Comma list: 676/675, 1001/1000, 1716/1715, 3136/3125


Mapping: {{mapping| 2 14 6 9 -10 25 | 0 -16 -2 -5 25 -26 }}
{{Mapping|legend=0| 2 14 6 9 -10 25 | 0 -16 -2 -5 25 -26 }}


Optimal tuning (POTE): ~99/70 = 1\2, ~28/25 = 193.9035
Optimal tuning (POTE): ~99/70 = 1\2, ~28/25 = 193.9035
Line 237: Line 237:
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: {{mapping| 2 14 6 9 -10 25 19 | 0 -16 -2 -5 25 -26 -16 }}
{{Mapping|legend=0| 2 14 6 9 -10 25 19 | 0 -16 -2 -5 25 -26 -16 }}


Optimal tuning (POTE): ~17/12 = 1\2, ~28/25 = 193.9112
Optimal tuning (POTE): ~17/12 = 1\2, ~28/25 = 193.9112
Line 250: Line 250:
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: {{mapping| 2 14 6 9 -10 25 19 20 | 0 -16 -2 -5 25 -26 -16 -17 }}
{{Mapping|legend=0| 2 14 6 9 -10 25 19 20 | 0 -16 -2 -5 25 -26 -16 -17 }}


Optimal tuning (POTE): ~17/12 = 1\2, ~19/17 = 193.9145
Optimal tuning (POTE): ~17/12 = 1\2, ~19/17 = 193.9145
Line 263: Line 263:
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: {{mapping| 2 14 6 9 -10 25 -4 | 0 -16 -2 -5 25 -26 18 }}
{{Mapping|legend=0| 2 14 6 9 -10 25 -4 | 0 -16 -2 -5 25 -26 18 }}


Optimal tuning (POTE): ~99/70 = 1\2, ~28/25 = 193.9112
Optimal tuning (POTE): ~99/70 = 1\2, ~28/25 = 193.9112
Line 276: Line 276:
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: {{mapping| 2 14 6 9 -10 25 -4 -3 | 0 -16 -2 -5 25 -26 18 17 }}
{{Mapping|legend=0| 2 14 6 9 -10 25 -4 -3 | 0 -16 -2 -5 25 -26 18 17 }}


Optimal tuning (POTE): ~99/70 = 1\2, ~19/17 = 193.9428
Optimal tuning (POTE): ~99/70 = 1\2, ~19/17 = 193.9428
Line 314: Line 314:
Comma list: 385/384, 441/440, 3136/3125
Comma list: 385/384, 441/440, 3136/3125


Mapping: {{mapping| 1 4 2 2 7 | 0 -15 2 5 -22 }}
{{Mapping|legend=0| 1 4 2 2 7 | 0 -15 2 5 -22 }}


Optimal tuning (POTE): ~2 = 1\1, ~28/25 = 193.227
Optimal tuning (POTE): ~2 = 1\1, ~28/25 = 193.227
Line 332: Line 332:
Comma list: 196/195, 352/351, 385/384, 625/624
Comma list: 196/195, 352/351, 385/384, 625/624


Mapping: {{mapping| 1 4 2 2 7 0 | 0 -15 2 5 -22 23 }}
{{Mapping|legend=0| 1 4 2 2 7 0 | 0 -15 2 5 -22 23 }}


Optimal tuning (POTE): ~2 = 1\1, ~28/25 = 193.166
Optimal tuning (POTE): ~2 = 1\1, ~28/25 = 193.166
Line 362: Line 362:
Comma list: 49/48, 56/55, 125/121
Comma list: 49/48, 56/55, 125/121


Mapping: {{mapping| 1 0 2 2 3 | 0 10 2 5 3 }}
{{Mapping|legend=0| 1 0 2 2 3 | 0 10 2 5 3 }}


Optimal tuning (POTE): ~2 = 1\1, ~11/10 = 190.285
Optimal tuning (POTE): ~2 = 1\1, ~11/10 = 190.285
Line 375: Line 375:
Comma list: 49/48, 56/55, 78/77, 125/121
Comma list: 49/48, 56/55, 78/77, 125/121


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


Optimal tuning (POTE): ~2 = 1\1, ~11/10 = 189.928
Optimal tuning (POTE): ~2 = 1\1, ~11/10 = 189.928
Line 388: Line 388:
Comma list: 49/48, 56/55, 91/90, 125/121
Comma list: 49/48, 56/55, 91/90, 125/121


Mapping: {{mapping| 1 0 2 2 3 1 | 0 10 2 5 3 17 }}
{{Mapping|legend=0| 1 0 2 2 3 1 | 0 10 2 5 3 17 }}


Optimal tuning (POTE): ~2 = 1\1, ~11/10 = 190.360
Optimal tuning (POTE): ~2 = 1\1, ~11/10 = 190.360
Line 422: Line 422:
Comma list: 176/175, 540/539, 1331/1323
Comma list: 176/175, 540/539, 1331/1323


Mapping: {{mapping| 1 12 6 12 20 | 0 -17 -6 -15 -27 }}
{{Mapping|legend=0| 1 12 6 12 20 | 0 -17 -6 -15 -27 }}


Optimal tuning (POTE): ~2 = 1\1, ~55/36 = 735.125
Optimal tuning (POTE): ~2 = 1\1, ~55/36 = 735.125
Line 435: Line 435:
Comma list: 176/175, 351/350, 540/539, 1375/1372
Comma list: 176/175, 351/350, 540/539, 1375/1372


Mapping: {{mapping| 1 12 6 12 20 -11 | 0 -17 -6 -15 -27 24 }}
{{Mapping|legend=0| 1 12 6 12 20 -11 | 0 -17 -6 -15 -27 24 }}


Optimal tuning (POTE): ~2 = 1\1, ~55/36 = 735.126
Optimal tuning (POTE): ~2 = 1\1, ~55/36 = 735.126
Line 448: Line 448:
Comma list: 176/175, 256/255, 351/350, 640/637, 715/714
Comma list: 176/175, 256/255, 351/350, 640/637, 715/714


Mapping: {{mapping| 1 12 6 12 20 -11 -10 | 0 -17 -6 -15 -27 24 23 }}
{{Mapping|legend=0| 1 12 6 12 20 -11 -10 | 0 -17 -6 -15 -27 24 23 }}


Optimal tuning (POTE): ~2 = 1\1, ~26/17 = 735.125
Optimal tuning (POTE): ~2 = 1\1, ~26/17 = 735.125
Line 461: Line 461:
Comma list: 176/175, 286/285, 351/350, 476/475, 540/539, 1331/1323
Comma list: 176/175, 286/285, 351/350, 476/475, 540/539, 1331/1323


Mapping: {{mapping| 1 12 6 12 20 -11 -10 -8 | 0 -17 -6 -15 -27 24 23 20 }}
{{Mapping|legend=0| 1 12 6 12 20 -11 -10 -8 | 0 -17 -6 -15 -27 24 23 20 }}


Optimal tuning (POTE): ~2 = 1\1, ~26/17 = 735.116
Optimal tuning (POTE): ~2 = 1\1, ~26/17 = 735.116
Line 474: Line 474:
Comma list: 176/175, 253/252, 286/285, 345/343, 351/350, 391/390, 460/459
Comma list: 176/175, 253/252, 286/285, 345/343, 351/350, 391/390, 460/459


Mapping: {{mapping| 1 12 6 12 20 -11 -10 -8 18 | 0 -17 -6 -15 -27 24 23 20 -22 }}
{{Mapping|legend=0| 1 12 6 12 20 -11 -10 -8 18 | 0 -17 -6 -15 -27 24 23 20 -22 }}


Optimal tuning (POTE): ~2 = 1\1, ~26/17 = 735.106
Optimal tuning (POTE): ~2 = 1\1, ~26/17 = 735.106
Line 487: Line 487:
Comma list: 144/143, 176/175, 196/195, 275/273
Comma list: 144/143, 176/175, 196/195, 275/273


Mapping: {{mapping| 1 12 6 12 20 8 | 0 -17 -6 -15 -27 -7 }}
{{Mapping|legend=0| 1 12 6 12 20 8 | 0 -17 -6 -15 -27 -7 }}


Optimal tuning (POTE): ~2 = 1\1, ~13/10 = 464.980
Optimal tuning (POTE): ~2 = 1\1, ~13/10 = 464.980
Line 519: Line 519:
Comma list: 385/384, 2401/2376, 3136/3125
Comma list: 385/384, 2401/2376, 3136/3125


Mapping: {{mapping| 1 14 6 12 3 | 0 -27 -8 -20 1 }}
{{Mapping|legend=0| 1 14 6 12 3 | 0 -27 -8 -20 1 }}


Optimal tuning (POTE): ~2 = 1\1, ~11/8 = 551.765
Optimal tuning (POTE): ~2 = 1\1, ~11/8 = 551.765
Line 532: Line 532:
Comma list: 196/195, 364/363, 385/384, 625/624
Comma list: 196/195, 364/363, 385/384, 625/624


Mapping: {{mapping| 1 14 6 12 3 6 | 0 -27 -8 -20 1 -5 }}
{{Mapping|legend=0| 1 14 6 12 3 6 | 0 -27 -8 -20 1 -5 }}


Optimal tuning (POTE): ~2 = 1\1, ~11/8 = 551.758
Optimal tuning (POTE): ~2 = 1\1, ~11/8 = 551.758
Line 560: Line 560:
Comma list: 441/440, 1344/1331, 3136/3125
Comma list: 441/440, 1344/1331, 3136/3125


Mapping: {{mapping| 1 6 0 -3 3 | 0 -19 10 25 2 }}
{{Mapping|legend=0| 1 6 0 -3 3 | 0 -19 10 25 2 }}


Optimal tuning (POTE): ~2 = 1\1, ~75/64 = 278.799
Optimal tuning (POTE): ~2 = 1\1, ~75/64 = 278.799
Line 573: Line 573:
Comma list: 169/168, 441/440, 832/825, 975/968
Comma list: 169/168, 441/440, 832/825, 975/968


Mapping: {{mapping| 1 6 0 -3 3 3 | 0 -19 10 25 2 3 }}
{{Mapping|legend=0| 1 6 0 -3 3 3 | 0 -19 10 25 2 3 }}


Optimal tuning (POTE): ~2 = 1\1, ~13/11 = 278.802
Optimal tuning (POTE): ~2 = 1\1, ~13/11 = 278.802
Line 586: Line 586:
Comma list: 169/168, 221/220, 256/255, 273/272, 375/374
Comma list: 169/168, 221/220, 256/255, 273/272, 375/374


Mapping: {{mapping| 1 6 0 -3 3 3 2 | 0 -19 10 25 2 3 9 }}
{{Mapping|legend=0| 1 6 0 -3 3 3 2 | 0 -19 10 25 2 3 9 }}


Optimal tuning (POTE): ~2 = 1\1, ~13/11 = 278.798
Optimal tuning (POTE): ~2 = 1\1, ~13/11 = 278.798
Line 599: Line 599:
Comma list: 169/168, 210/209, 221/220, 256/255, 273/272, 286/285
Comma list: 169/168, 210/209, 221/220, 256/255, 273/272, 286/285


Mapping: {{mapping| 1 6 0 -3 3 3 2 1 | 0 -19 10 25 2 3 9 14 }}
{{Mapping|legend=0| 1 6 0 -3 3 3 2 1 | 0 -19 10 25 2 3 9 14 }}


Optimal tuning (POTE): ~2 = 1\1, ~13/11 = 278.790
Optimal tuning (POTE): ~2 = 1\1, ~13/11 = 278.790
Line 612: Line 612:
Comma list: 3136/3125, 15488/15435, 16384/16335
Comma list: 3136/3125, 15488/15435, 16384/16335


Mapping: {{mapping| 1 6 0 -3 3 | 0 -38 20 50 47 }}
{{Mapping|legend=0| 1 6 0 -3 3 | 0 -38 20 50 47 }}


Optimal tuning (POTE): ~2 = 1\1, ~896/825 = 139.403
Optimal tuning (POTE): ~2 = 1\1, ~896/825 = 139.403
Line 625: Line 625:
Comma list: 676/675, 1001/1000, 3136/3125, 15488/15435
Comma list: 676/675, 1001/1000, 3136/3125, 15488/15435


Mapping: {{mapping| 1 6 0 -3 3 8 | 0 -38 20 50 47 -37 }}
{{Mapping|legend=0| 1 6 0 -3 3 8 | 0 -38 20 50 47 -37 }}


Optimal tuning (POTE): ~2 = 1\1, ~13/12 = 139.403
Optimal tuning (POTE): ~2 = 1\1, ~13/12 = 139.403
Line 651: Line 651:
Comma list: 540/539, 1344/1331, 3136/3125
Comma list: 540/539, 1344/1331, 3136/3125


Mapping: {{mapping| 1 1 2 2 3 | 0 29 16 40 23 }}
{{Mapping|legend=0| 1 1 2 2 3 | 0 29 16 40 23 }}


Optimal tuning (POTE): ~2 = 1\1, ~99/98 = 24.235
Optimal tuning (POTE): ~2 = 1\1, ~99/98 = 24.235
Line 664: Line 664:
Comma list: 351/350, 540/539, 975/968, 1344/1331
Comma list: 351/350, 540/539, 975/968, 1344/1331


Mapping: {{mapping| 1 1 2 2 3 4 | 0 29 16 40 23 -15 }}
{{Mapping|legend=0| 1 1 2 2 3 4 | 0 29 16 40 23 -15 }}


Optimal tuning (POTE): ~2 = 1\1, ~99/98 = 24.181
Optimal tuning (POTE): ~2 = 1\1, ~99/98 = 24.181
Line 677: Line 677:
Comma list: 144/143, 196/195, 364/363, 625/624
Comma list: 144/143, 196/195, 364/363, 625/624


Mapping: {{mapping| 1 1 2 2 3 3 | 0 29 16 40 23 35 }}
{{Mapping|legend=0| 1 1 2 2 3 3 | 0 29 16 40 23 35 }}


Optimal tuning (POTE): ~2 = 1\1, ~99/98 = 24.234
Optimal tuning (POTE): ~2 = 1\1, ~99/98 = 24.234
Line 705: Line 705:
Comma list: 540/539, 3136/3125, 72171/71680
Comma list: 540/539, 3136/3125, 72171/71680


Mapping: {{mapping| 1 0 0 -3 8 | 0 15 22 55 -43 }}
{{Mapping|legend=0| 1 0 0 -3 8 | 0 15 22 55 -43 }}


Optimal tuning (POTE): ~2 = 1\1, ~27/25 = 126.711
Optimal tuning (POTE): ~2 = 1\1, ~27/25 = 126.711
Line 718: Line 718:
Comma list: 351/350, 540/539, 1701/1690, 3136/3125
Comma list: 351/350, 540/539, 1701/1690, 3136/3125


Mapping: {{mapping| 1 0 0 -3 8 -2 | 0 15 22 55 -43 54 }}
{{Mapping|legend=0| 1 0 0 -3 8 -2 | 0 15 22 55 -43 54 }}


Optimal tuning (POTE): ~2 = 1\1, ~14/13 = 126.705
Optimal tuning (POTE): ~2 = 1\1, ~14/13 = 126.705
Line 731: Line 731:
Comma list: 351/350, 540/539, 833/832, 1701/1690, 3136/3125
Comma list: 351/350, 540/539, 833/832, 1701/1690, 3136/3125


Mapping: {{mapping| 1 0 0 -3 8 -2 10 | 0 15 22 55 -43 54 -56 }}
{{Mapping|legend=0| 1 0 0 -3 8 -2 10 | 0 15 22 55 -43 54 -56 }}


Optimal tuning (POTE): ~2 = 1\1, ~14/13 = 126.703
Optimal tuning (POTE): ~2 = 1\1, ~14/13 = 126.703
Line 744: Line 744:
Comma list: 351/350, 476/475, 495/494, 513/512, 540/539, 1701/1690
Comma list: 351/350, 476/475, 495/494, 513/512, 540/539, 1701/1690


Mapping: {{mapping| 1 0 0 -3 8 -2 10 9 | 0 15 22 55 -43 54 -56 -45 }}
{{Mapping|legend=0| 1 0 0 -3 8 -2 10 9 | 0 15 22 55 -43 54 -56 -45 }}


Optimal tuning (POTE): ~2 = 1\1, ~14/13 = 126.705
Optimal tuning (POTE): ~2 = 1\1, ~14/13 = 126.705
Line 757: Line 757:
Comma list: 276/275, 351/350, 476/475, 495/494, 513/512, 529/528, 540/539
Comma list: 276/275, 351/350, 476/475, 495/494, 513/512, 529/528, 540/539


Mapping: {{mapping| 1 0 0 -3 8 -2 10 9 6 | 0 15 22 55 -43 54 -56 -45 -14 }}
{{Mapping|legend=0| 1 0 0 -3 8 -2 10 9 6 | 0 15 22 55 -43 54 -56 -45 -14 }}


Optimal tuning (POTE): ~2 = 1\1, ~14/13 = 126.703
Optimal tuning (POTE): ~2 = 1\1, ~14/13 = 126.703
Line 770: Line 770:
Comma list: 261/260, 276/275, 351/350, 476/475, 495/494, 513/512, 529/528, 540/539
Comma list: 261/260, 276/275, 351/350, 476/475, 495/494, 513/512, 529/528, 540/539


Mapping: {{mapping| 1 0 0 -3 8 -2 10 9 6 0 | 0 15 22 55 -43 54 -56 -45 -14 46 }}
{{Mapping|legend=0| 1 0 0 -3 8 -2 10 9 6 0 | 0 15 22 55 -43 54 -56 -45 -14 46 }}


Optimal tuning (POTE): ~2 = 1\1, ~14/13 = 126.704
Optimal tuning (POTE): ~2 = 1\1, ~14/13 = 126.704
Line 783: Line 783:
Comma list: 261/260, 276/275, 351/350, 435/434, 476/475, 495/494, 513/512, 529/528, 540/539
Comma list: 261/260, 276/275, 351/350, 435/434, 476/475, 495/494, 513/512, 529/528, 540/539


Mapping: {{mapping| 1 0 0 -3 8 -2 10 9 6 0 2 | 0 15 22 55 -43 54 -56 -45 -14 46 28 }}
{{Mapping|legend=0| 1 0 0 -3 8 -2 10 9 6 0 2 | 0 15 22 55 -43 54 -56 -45 -14 46 28 }}


Optimal tuning (POTE): ~2 = 1\1, ~14/13 = 126.703
Optimal tuning (POTE): ~2 = 1\1, ~14/13 = 126.703
Line 812: Line 812:
Comma list: 540/539, 3136/3125, 35937/35840
Comma list: 540/539, 3136/3125, 35937/35840


Mapping: {{mapping| 1 -4 -2 -8 4 | 0 31 24 60 -3 }}
{{Mapping|legend=0| 1 -4 -2 -8 4 | 0 31 24 60 -3 }}


Optimal tuning (POTE): ~2 = 1\1, ~112/99 = 216.168
Optimal tuning (POTE): ~2 = 1\1, ~112/99 = 216.168
Line 825: Line 825:
Comma list: 351/350, 540/539, 847/845, 3136/3125
Comma list: 351/350, 540/539, 847/845, 3136/3125


Mapping: {{mapping| 1 -4 -2 -8 4 1 | 0 31 24 60 -3 15 }}
{{Mapping|legend=0| 1 -4 -2 -8 4 1 | 0 31 24 60 -3 15 }}


Optimal tuning (POTE): ~2 = 1\1, ~112/99 = 216.172
Optimal tuning (POTE): ~2 = 1\1, ~112/99 = 216.172
Line 838: Line 838:
Comma list: 351/350, 540/539, 561/560, 847/845, 1089/1088
Comma list: 351/350, 540/539, 561/560, 847/845, 1089/1088


Mapping: {{mapping| 1 -4 -2 -8 4 1 -6 | 0 31 24 60 -3 15 56 }}
{{Mapping|legend=0| 1 -4 -2 -8 4 1 -6 | 0 31 24 60 -3 15 56 }}


Optimal tuning (POTE): ~2 = 1\1, ~17/15 = 216.172
Optimal tuning (POTE): ~2 = 1\1, ~17/15 = 216.172
Line 851: Line 851:
Comma list: 324/323, 351/350, 456/455, 476/455, 495/494, 540/539
Comma list: 324/323, 351/350, 456/455, 476/455, 495/494, 540/539


Mapping: {{mapping| 1 -4 -2 -8 4 1 -6 -8 | 0 31 24 60 -3 15 56 68 }}
{{Mapping|legend=0| 1 -4 -2 -8 4 1 -6 -8 | 0 31 24 60 -3 15 56 68 }}


Optimal tuning (POTE): ~2 = 1\1, ~17/15 = 216.170
Optimal tuning (POTE): ~2 = 1\1, ~17/15 = 216.170
Line 881: Line 881:
Comma list: 3025/3024, 3136/3125, 8019/8000
Comma list: 3025/3024, 3136/3125, 8019/8000


Mapping: {{mapping| 1 0 -2 -8 0 | 0 11 30 75 24 }}
{{Mapping|legend=0| 1 0 -2 -8 0 | 0 11 30 75 24 }}


Optimal tuning (POTE): ~2 = 1\1, ~400/363 = 172.912
Optimal tuning (POTE): ~2 = 1\1, ~400/363 = 172.912
Line 894: Line 894:
Comma list: 352/351, 729/728, 1001/1000, 3025/3024
Comma list: 352/351, 729/728, 1001/1000, 3025/3024


Mapping: {{mapping| 1 0 -2 -8 0 5 | 0 11 30 75 24 -9 }}
{{Mapping|legend=0| 1 0 -2 -8 0 5 | 0 11 30 75 24 -9 }}


Optimal tuning (POTE): ~2 = 1\1, ~72/65 = 172.930
Optimal tuning (POTE): ~2 = 1\1, ~72/65 = 172.930
Line 907: Line 907:
Comma list: 351/350, 1573/1568, 2080/2079, 3136/3125
Comma list: 351/350, 1573/1568, 2080/2079, 3136/3125


Mapping: {{mapping| 1 0 -2 -8 0 -11 | 0 11 30 75 24 102 }}
{{Mapping|legend=0| 1 0 -2 -8 0 -11 | 0 11 30 75 24 102 }}


Optimal tuning (POTE): ~2 = 1\1, ~400/363 = 172.933
Optimal tuning (POTE): ~2 = 1\1, ~400/363 = 172.933
Line 1,090: Line 1,090:
[[Tp tuning #T2 tuning|RMS error]]: 2.003 cents
[[Tp tuning #T2 tuning|RMS error]]: 2.003 cents


[[Category:Temperament clans]]
[[Category:Hemimean clan| ]] <!-- main article -->
[[Category:Hemimean clan| ]] <!-- main article -->
[[Category:Hemimean| ]] <!-- key article -->
[[Category:Hemimean| ]] <!-- key article -->
[[Category:Rank 2]]
[[Category:Temperament clans]]
[[Category:Catalogs of rank-2 temperaments]]
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