Diaschismic family: Difference between revisions

Lériendil (talk | contribs)
Tags: Mobile edit Mobile web edit
m Units
Line 15: Line 15:
: mapping generators: ~45/32, ~3
: mapping generators: ~45/32, ~3


[[Optimal tuning]] ([[POTE]]): ~45/32 = 600.000, ~3/2 = 704.898
[[Optimal tuning]] ([[POTE]]): ~45/32 = 600.000{{c}}, ~3/2 = 704.898{{c}}


[[Tuning ranges]]:  
[[Tuning ranges]]:  
Line 49: Line 49:
Comma list: 136/135, 256/255
Comma list: 136/135, 256/255


Sval mapping: {{mapping| 2 0 11 5 | 0 1 -2 1 }}
Subgroup-val mapping: {{mapping| 2 0 11 5 | 0 1 -2 1 }}


: mapping generators: ~17/12, ~3
: mapping generators: ~17/12, ~3


Optimal tuning (CTE): ~17/12 = 600.000, ~3/2 = 705.1272
Optimal tuning (CTE): ~17/12 = 600.0000{{c}}, ~3/2 = 705.1272{{c}}


{{Optimal ET sequence|legend=0| 10, 12, 22, 34, 80, 114, 194bc }}
{{Optimal ET sequence|legend=0| 10, 12, 22, 34, 80, 114, 194bc }}
Line 73: Line 73:
{{Mapping|legend=1| 2 0 11 31 | 0 1 -2 -8 }}
{{Mapping|legend=1| 2 0 11 31 | 0 1 -2 -8 }}


[[Optimal tuning]] ([[POTE]]): ~45/32 = 600.000, ~3/2 = 703.681
[[Optimal tuning]] ([[POTE]]): ~45/32 = 600.000{{c}}, ~3/2 = 703.681{{c}}


[[Tuning ranges]]:  
[[Tuning ranges]]:  
Line 90: Line 90:
Mapping: {{mapping| 2 0 11 31 45 | 0 1 -2 -8 -12 }}
Mapping: {{mapping| 2 0 11 31 45 | 0 1 -2 -8 -12 }}


Optimal tuning (POTE): ~45/32 = 600.000, ~3/2 = 703.714
Optimal tuning (POTE): ~45/32 = 600.000{{c}}, ~3/2 = 703.714{{c}}


Tuning ranges:  
Tuning ranges:  
Line 107: Line 107:
Mapping: {{mapping| 2 0 11 31 45 55 | 0 1 -2 -8 -12 -15 }}
Mapping: {{mapping| 2 0 11 31 45 55 | 0 1 -2 -8 -12 -15 }}


Optimal tuning (POTE): ~45/32 = 600.000, ~3/2 = 703.704
Optimal tuning (POTE): ~45/32 = 600.000{{c}}, ~3/2 = 703.704{{c}}


Tuning ranges:  
Tuning ranges:  
Line 125: Line 125:
Mapping: {{mapping| 2 0 11 31 45 55 5 | 0 1 -2 -8 -12 -15 1 }}
Mapping: {{mapping| 2 0 11 31 45 55 5 | 0 1 -2 -8 -12 -15 1 }}


Optimal tuning (POTE): ~17/12 = 600.000, ~3/2 = 703.812
Optimal tuning (POTE): ~17/12 = 600.000{{c}}, ~3/2 = 703.812{{c}}


Tuning ranges:  
Tuning ranges:  
Line 144: Line 144:
Sval mapping: {{mapping| 2 0 11 31 45 55 5 63 | 0 1 -2 -8 -12 -15 1 -17 }}
Sval mapping: {{mapping| 2 0 11 31 45 55 5 63 | 0 1 -2 -8 -12 -15 1 -17 }}


Optimal tuning (POTE): ~17/12 = 600.000, ~3/2 = 703.870
Optimal tuning (POTE): ~17/12 = 600.000{{c}}, ~3/2 = 703.870{{c}}


{{Optimal ET sequence|legend=0| 46, 58i, 104ci }}
{{Optimal ET sequence|legend=0| 46, 58i, 104ci }}
Line 161: Line 161:
{{Mapping|legend=1| 2 0 11 12 | 0 1 -2 -2 }}
{{Mapping|legend=1| 2 0 11 12 | 0 1 -2 -2 }}


[[Optimal tuning]] ([[POTE]]): ~7/5 = 600.000, ~3/2 = 707.048
[[Optimal tuning]] ([[POTE]]): ~7/5 = 600.000{{c}}, ~3/2 = 707.048{{c}}


[[Tuning ranges]]:
[[Tuning ranges]]:
Line 178: Line 178:
Mapping: {{mapping| 2 0 11 12 26 | 0 1 -2 -2 -6 }}
Mapping: {{mapping| 2 0 11 12 26 | 0 1 -2 -2 -6 }}


Optimal tuning (POTE): ~7/5 = 600.000, ~3/2 = 706.885
Optimal tuning (POTE): ~7/5 = 600.000{{c}}, ~3/2 = 706.885{{c}}


Tuning ranges:
Tuning ranges:
Line 195: Line 195:
Mapping: {{mapping| 2 0 11 12 26 1 | 0 1 -2 -2 -6 2 }}
Mapping: {{mapping| 2 0 11 12 26 1 | 0 1 -2 -2 -6 2 }}


Optimal tuning (POTE): ~7/5 = 600.000, ~3/2 = 708.919
Optimal tuning (POTE): ~7/5 = 600.000{{c}}, ~3/2 = 708.919{{c}}


{{Optimal ET sequence|legend=0| 10e, 12, 22 }}
{{Optimal ET sequence|legend=0| 10e, 12, 22 }}
Line 208: Line 208:
Mapping: {{mapping| 2 0 11 12 26 1 5 | 0 1 -2 -2 -6 2 1 }}
Mapping: {{mapping| 2 0 11 12 26 1 5 | 0 1 -2 -2 -6 2 1 }}


Optimal tuning (POTE): ~7/5 = 600.000, ~3/2 = 708.806
Optimal tuning (POTE): ~7/5 = 600.000{{c}}, ~3/2 = 708.806{{c}}


{{Optimal ET sequence|legend=0| 10e, 12, 22 }}
{{Optimal ET sequence|legend=0| 10e, 12, 22 }}
Line 221: Line 221:
Mapping: {{mapping| 2 0 11 12 26 36 | 0 1 -2 -2 -6 -9 }}
Mapping: {{mapping| 2 0 11 12 26 36 | 0 1 -2 -2 -6 -9 }}


Optimal tuning (POTE): ~7/5 = 600.000, ~3/2 = 706.133
Optimal tuning (POTE): ~7/5 = 600.000{{c}}, ~3/2 = 706.133{{c}}


{{Optimal ET sequence|legend=0| 12f, 22, 34d }}
{{Optimal ET sequence|legend=0| 12f, 22, 34d }}
Line 234: Line 234:
Mapping: {{mapping| 2 0 11 12 26 36 5 | 0 1 -2 -2 -6 -9 1 }}
Mapping: {{mapping| 2 0 11 12 26 36 5 | 0 1 -2 -2 -6 -9 1 }}


Optimal tuning (POTE): ~7/5 = 600.000, ~3/2 = 706.410
Optimal tuning (POTE): ~7/5 = 600.000{{c}}, ~3/2 = 706.410{{c}}


{{Optimal ET sequence|legend=0| 12f, 22, 34d }}
{{Optimal ET sequence|legend=0| 12f, 22, 34d }}
Line 247: Line 247:
Mapping: {{mapping| 2 0 11 12 26 17 | 0 1 -2 -2 -6 -3 }}
Mapping: {{mapping| 2 0 11 12 26 17 | 0 1 -2 -2 -6 -3 }}


Optimal tuning (POTE): ~7/5 = 600.000, ~3/2 = 707.450
Optimal tuning (POTE): ~7/5 = 600.000{{c}}, ~3/2 = 707.450{{c}}


{{Optimal ET sequence|legend=0| 10e, 12f, 22f }}
{{Optimal ET sequence|legend=0| 10e, 12f, 22f }}
Line 260: Line 260:
Mapping: {{mapping| 2 0 11 12 26 17 5 | 0 1 -2 -2 -6 -3 1 }}
Mapping: {{mapping| 2 0 11 12 26 17 5 | 0 1 -2 -2 -6 -3 1 }}


Optimal tuning (POTE): ~7/5 = 600.000, ~3/2 = 707.947
Optimal tuning (POTE): ~7/5 = 600.000{{c}}, ~3/2 = 707.947{{c}}


{{Optimal ET sequence|legend=0| 10e, 12f, 22f }}
{{Optimal ET sequence|legend=0| 10e, 12f, 22f }}
Line 273: Line 273:
Mapping: {{mapping| 2 0 11 12 -9 | 0 1 -2 -2 5 }}
Mapping: {{mapping| 2 0 11 12 -9 | 0 1 -2 -2 5 }}


Optimal tuning (POTE): ~7/5 = 600.000, ~3/2 = 709.578
Optimal tuning (POTE): ~7/5 = 600.000{{c}}, ~3/2 = 709.578{{c}}


Tuning ranges:
Tuning ranges:
Line 290: Line 290:
Mapping: {{mapping| 2 0 11 12 -9 1 | 0 1 -2 -2 5 2 }}
Mapping: {{mapping| 2 0 11 12 -9 1 | 0 1 -2 -2 5 2 }}


Optimal tuning (POTE): ~7/5 = 600.000, ~3/2 = 710.240
Optimal tuning (POTE): ~7/5 = 600.000{{c}}, ~3/2 = 710.240{{c}}


{{Optimal ET sequence|legend=0| 10, 22, 54f, 76bdff }}
{{Optimal ET sequence|legend=0| 10, 22, 54f, 76bdff }}
Line 303: Line 303:
Mapping: {{mapping| 2 0 11 12 -9 1 5 | 0 1 -2 -2 5 2 1 }}
Mapping: {{mapping| 2 0 11 12 -9 1 5 | 0 1 -2 -2 5 2 1 }}


Optimal tuning (POTE): ~7/5 = 600.000, ~3/2 = 710.221
Optimal tuning (POTE): ~7/5 = 600.000{{c}}, ~3/2 = 710.221{{c}}


{{Optimal ET sequence|legend=0| 10, 22, 54f, 76bdff }}
{{Optimal ET sequence|legend=0| 10, 22, 54f, 76bdff }}
Line 316: Line 316:
Mapping: {{mapping| 2 0 11 12 -9 17 | 0 1 -2 -2 5 -3 }}
Mapping: {{mapping| 2 0 11 12 -9 17 | 0 1 -2 -2 5 -3 }}


Optimal tuning (POTE): ~7/5 = 600.000, ~3/2 = 710.818
Optimal tuning (POTE): ~7/5 = 600.000{{c}}, ~3/2 = 710.818{{c}}


{{Optimal ET sequence|legend=0| 10, 22f, 32f, 54ff }}
{{Optimal ET sequence|legend=0| 10, 22f, 32f, 54ff }}
Line 329: Line 329:
Mapping: {{mapping| 2 0 11 12 -9 17 5 | 0 1 -2 -2 5 -3 1 }}
Mapping: {{mapping| 2 0 11 12 -9 17 5 | 0 1 -2 -2 5 -3 1 }}


Optimal tuning (POTE): ~7/5 = 600.000, ~3/2 = 710.866
Optimal tuning (POTE): ~7/5 = 600.000{{c}}, ~3/2 = 710.866{{c}}


{{Optimal ET sequence|legend=0| 10, 22f, 32f, 54ff }}
{{Optimal ET sequence|legend=0| 10, 22f, 32f, 54ff }}
Line 342: Line 342:
Mapping: {{mapping| 2 0 11 12 7 | 0 1 -2 -2 0 }}
Mapping: {{mapping| 2 0 11 12 7 | 0 1 -2 -2 0 }}


Optimal tuning (POTE): ~7/5 = 600.000, ~3/2 = 705.524
Optimal tuning (POTE): ~7/5 = 600.000{{c}}, ~3/2 = 705.524{{c}}


{{Optimal ET sequence|legend=0| 10, 12, 22e, 34dee }}
{{Optimal ET sequence|legend=0| 10, 12, 22e, 34dee }}
Line 355: Line 355:
Mapping: {{mapping| 2 0 11 12 7 17 | 0 1 -2 -2 0 -3 }}
Mapping: {{mapping| 2 0 11 12 7 17 | 0 1 -2 -2 0 -3 }}


Optimal tuning (POTE): ~7/5 = 600.000, ~3/2 = 707.442
Optimal tuning (POTE): ~7/5 = 600.000{{c}}, ~3/2 = 707.442{{c}}


{{Optimal ET sequence|legend=0| 10, 12f, 22ef }}
{{Optimal ET sequence|legend=0| 10, 12f, 22ef }}
Line 368: Line 368:
Mapping: {{mapping| 2 0 11 12 7 17 5 | 0 1 -2 -2 0 -3 1 }}
Mapping: {{mapping| 2 0 11 12 7 17 5 | 0 1 -2 -2 0 -3 1 }}


Optimal tuning (POTE): ~7/5 = 600.000, ~3/2 = 708.544
Optimal tuning (POTE): ~7/5 = 600.000{{c}}, ~3/2 = 708.544{{c}}


{{Optimal ET sequence|legend=0| 10, 12f, 22ef }}
{{Optimal ET sequence|legend=0| 10, 12f, 22ef }}
Line 381: Line 381:
Mapping: {{mapping| 2 1 9 10 8 | 0 2 -4 -4 -1 }}
Mapping: {{mapping| 2 1 9 10 8 | 0 2 -4 -4 -1 }}


Optimal tuning (POTE): ~7/5 = 600.000, ~11/8 = 546.383
Optimal tuning (POTE): ~7/5 = 600.000{{c}}, ~11/8 = 546.383{{c}}


{{Optimal ET sequence|legend=0| 20, 22, 68d, 90d }}
{{Optimal ET sequence|legend=0| 20, 22, 68d, 90d }}
Line 394: Line 394:
Mapping: {{mapping| 2 0 11 12 -1 | 0 2 -4 -4 5 }}
Mapping: {{mapping| 2 0 11 12 -1 | 0 2 -4 -4 5 }}


Optimal tuning (POTE): ~7/5 = 600.000, ~55/32 = 953.093
Optimal tuning (POTE): ~7/5 = 600.000{{c}}, ~55/32 = 953.093{{c}}


{{Optimal ET sequence|legend=0| 10, 24d, 34d }}
{{Optimal ET sequence|legend=0| 10, 24d, 34d }}
Line 407: Line 407:
Mapping: {{mapping| 2 0 11 12 -1 9 | 0 2 -4 -4 5 -1 }}
Mapping: {{mapping| 2 0 11 12 -1 9 | 0 2 -4 -4 5 -1 }}


Optimal tuning (POTE): ~7/5 = 600.000, ~26/15 = 953.074
Optimal tuning (POTE): ~7/5 = 600.000{{c}}, ~26/15 = 953.074{{c}}


{{Optimal ET sequence|legend=0| 10, 24d, 34d }}
{{Optimal ET sequence|legend=0| 10, 24d, 34d }}
Line 420: Line 420:
Mapping: {{mapping| 2 0 11 12 -1 9 5 | 0 2 -4 -4 5 -1 2 }}
Mapping: {{mapping| 2 0 11 12 -1 9 5 | 0 2 -4 -4 5 -1 2 }}


Optimal tuning (POTE): ~7/5 = 600.000, ~26/15 = 953.210
Optimal tuning (POTE): ~7/5 = 600.000{{c}}, ~26/15 = 953.210{{c}}


{{Optimal ET sequence|legend=0| 10, 24d, 34d }}
{{Optimal ET sequence|legend=0| 10, 24d, 34d }}
Line 437: Line 437:
{{Mapping|legend=1| 2 0 11 -42 | 0 1 -2 15 }}
{{Mapping|legend=1| 2 0 11 -42 | 0 1 -2 15 }}


[[Optimal tuning]] ([[POTE]]): ~45/32 = 600.000, ~3/2 = 704.814
[[Optimal tuning]] ([[POTE]]): ~45/32 = 600.000{{c}}, ~3/2 = 704.814{{c}}


[[Tuning ranges]]:  
[[Tuning ranges]]:  
Line 454: Line 454:
Mapping: {{mapping| 2 0 11 -42 -28 | 0 1 -2 15 11 }}
Mapping: {{mapping| 2 0 11 -42 -28 | 0 1 -2 15 11 }}


Optimal tuning (POTE): ~45/32 = 600.000, ~3/2 = 704.856
Optimal tuning (POTE): ~45/32 = 600.000{{c}}, ~3/2 = 704.856{{c}}


Tuning ranges:  
Tuning ranges:  
Line 471: Line 471:
Mapping: {{mapping| 2 0 11 -42 -28 -18 | 0 1 -2 15 11 8 }}
Mapping: {{mapping| 2 0 11 -42 -28 -18 | 0 1 -2 15 11 8 }}


Optimal tuning (POTE): ~45/32 = 600.000, ~3/2 = 704.881
Optimal tuning (POTE): ~45/32 = 600.000{{c}}, ~3/2 = 704.881{{c}}


Tuning ranges:  
Tuning ranges:  
Line 489: Line 489:
Mapping: {{mapping| 2 0 11 -42 -28 -18 5 | 0 1 -2 15 11 8 1 }}
Mapping: {{mapping| 2 0 11 -42 -28 -18 5 | 0 1 -2 15 11 8 1 }}


Optimal tuning (POTE): ~17/12 = 1\2, ~3/2 = 704.840
Optimal tuning (POTE): ~17/12 = 600.000{{c}}, ~3/2 = 704.840{{c}}


Tuning ranges:  
Tuning ranges:  
Line 506: Line 506:
Mapping: {{mapping| 2 0 11 -42 -28 -18 5 -55 | 0 1 -2 15 11 8 1 20 }}
Mapping: {{mapping| 2 0 11 -42 -28 -18 5 -55 | 0 1 -2 15 11 8 1 20 }}


Optimal tuning (POTE): ~17/12 = 600.000, ~3/2 = 704.905
Optimal tuning (POTE): ~17/12 = 600.000{{c}}, ~3/2 = 704.905{{c}}


{{Optimal ET sequence|legend=0| 34dh, 46, 80, 206cd }}
{{Optimal ET sequence|legend=0| 34dh, 46, 80, 206cd }}
Line 521: Line 521:
Mapping: {{mapping| 2 0 11 -42 -28 -18 5 -55 -10 | 0 1 -2 15 11 8 1 20 6 }}
Mapping: {{mapping| 2 0 11 -42 -28 -18 5 -55 -10 | 0 1 -2 15 11 8 1 20 6 }}


Optimal tuning (POTE): ~17/12 = 600.000, ~3/2 = 704.899
Optimal tuning (POTE): ~17/12 = 600.000{{c}}, ~3/2 = 704.899{{c}}


{{Optimal ET sequence|legend=0| 34dh, 46, 80, 206cd }}
{{Optimal ET sequence|legend=0| 34dh, 46, 80, 206cd }}
Line 534: Line 534:
Mapping: {{mapping| 2 0 11 -42 -28 -18 5 -55 -10 -76 | 0 1 -2 15 11 8 1 20 6 27 }}
Mapping: {{mapping| 2 0 11 -42 -28 -18 5 -55 -10 -76 | 0 1 -2 15 11 8 1 20 6 27 }}


Optimal tuning (POTE): ~17/12 = 600.000, ~3/2 = 704.906
Optimal tuning (POTE): ~17/12 = 600.000{{c}}, ~3/2 = 704.906{{c}}


{{Optimal ET sequence|legend=0| 34dhj, 46, 80, 206cd }}
{{Optimal ET sequence|legend=0| 34dhj, 46, 80, 206cd }}
Line 547: Line 547:
Mapping: {{mapping| 2 0 11 -42 -28 -18 5 -55 -10 -76 48 | 0 1 -2 15 11 8 1 20 6 27 -12 }}
Mapping: {{mapping| 2 0 11 -42 -28 -18 5 -55 -10 -76 48 | 0 1 -2 15 11 8 1 20 6 27 -12 }}


Optimal tuning (POTE): ~17/12 = 600.000, ~3/2 = 704.817
Optimal tuning (POTE): ~17/12 = 600.000{{c}}, ~3/2 = 704.817{{c}}


{{Optimal ET sequence|legend=0| 46, 80, 126 }}
{{Optimal ET sequence|legend=0| 46, 80, 126 }}
Line 562: Line 562:
{{Mapping|legend=1| 2 0 11 -23 | 0 1 -2 9 }}
{{Mapping|legend=1| 2 0 11 -23 | 0 1 -2 9 }}


[[Optimal tuning]] ([[POTE]]): ~45/32 = 600.000, ~3/2 = 707.571
[[Optimal tuning]] ([[POTE]]): ~45/32 = 600.000{{c}}, ~3/2 = 707.571{{c}}


{{Optimal ET sequence|legend=1| 22, 56, 78, 134b, 212b, 290bb }}
{{Optimal ET sequence|legend=1| 22, 56, 78, 134b, 212b, 290bb }}
Line 575: Line 575:
Mapping: {{mapping| 2 0 11 -23 26 | 0 1 -2 9 -6 }}
Mapping: {{mapping| 2 0 11 -23 26 | 0 1 -2 9 -6 }}


Optimal tuning (POTE): ~45/32 = 600.000, ~3/2 = 707.609
Optimal tuning (POTE): ~45/32 = 600.000{{c}}, ~3/2 = 707.609{{c}}


{{Optimal ET sequence|legend=0| 22, 56, 78, 212be, 290bbe }}
{{Optimal ET sequence|legend=0| 22, 56, 78, 212be, 290bbe }}
Line 588: Line 588:
Mapping: {{mapping| 2 0 11 -23 26 -18 | 0 1 -2 9 -6 8 }}
Mapping: {{mapping| 2 0 11 -23 26 -18 | 0 1 -2 9 -6 8 }}


Optimal tuning (POTE): ~45/32 = 600.000, ~3/2 = 707.167
Optimal tuning (POTE): ~45/32 = 600.000{{c}}, ~3/2 = 707.167{{c}}


{{Optimal ET sequence|legend=0| 22f, 34, 56f }}
{{Optimal ET sequence|legend=0| 22f, 34, 56f }}
Line 601: Line 601:
Mapping: {{mapping| 2 0 11 -23 26 -18 5 | 0 1 -2 9 -6 8 1}}
Mapping: {{mapping| 2 0 11 -23 26 -18 5 | 0 1 -2 9 -6 8 1}}


Optimal tuning (POTE): ~17/12 = 600.000, ~3/2 = 707.155
Optimal tuning (POTE): ~17/12 = 600.000{{c}}, ~3/2 = 707.155{{c}}


{{Optimal ET sequence|legend=0| 22f, 34, 56f }}
{{Optimal ET sequence|legend=0| 22f, 34, 56f }}
Line 614: Line 614:
Mapping: {{mapping| 2 0 11 -23 26 36 | 0 1 -2 9 -6 -9 }}
Mapping: {{mapping| 2 0 11 -23 26 36 | 0 1 -2 9 -6 -9 }}


Optimal tuning (POTE): ~45/32 = 600.000, ~3/2 = 707.257
Optimal tuning (POTE): ~45/32 = 600.000{{c}}, ~3/2 = 707.257{{c}}


{{Optimal ET sequence|legend=0| 22, 34, 56 }}
{{Optimal ET sequence|legend=0| 22, 34, 56 }}
Line 627: Line 627:
Mapping: {{mapping| 2 0 11 -23 26 36 5 | 0 1 -2 9 -6 -9 1 }}
Mapping: {{mapping| 2 0 11 -23 26 36 5 | 0 1 -2 9 -6 -9 1 }}


Optimal tuning (POTE): ~17/12 = 600.000, ~3/2 = 707.252
Optimal tuning (POTE): ~17/12 = 600.000{{c}}, ~3/2 = 707.252{{c}}


{{Optimal ET sequence|legend=0| 22, 34, 56 }}
{{Optimal ET sequence|legend=0| 22, 34, 56 }}
Line 644: Line 644:
: mapping generators: ~25/21, ~3
: mapping generators: ~25/21, ~3


[[Optimal tuning]] ([[POTE]]): ~25/21 = 300.000, ~3/2 = 705.364
[[Optimal tuning]] ([[POTE]]): ~25/21 = 300.000{{c}}, ~3/2 = 705.364{{c}}


{{Optimal ET sequence|legend=1| 12, 56, 68, 80, 148d }}
{{Optimal ET sequence|legend=1| 12, 56, 68, 80, 148d }}
Line 657: Line 657:
Mapping: {{mapping| 4 0 22 43 71 | 0 1 -2 -5 -9 }}
Mapping: {{mapping| 4 0 22 43 71 | 0 1 -2 -5 -9 }}


Optimal tuning (POTE): ~25/21 = 300.000, ~3/2 = 705.087
Optimal tuning (POTE): ~25/21 = 300.000{{c}}, ~3/2 = 705.087{{c}}


{{Optimal ET sequence|legend=0| 12, 68, 80 }}
{{Optimal ET sequence|legend=0| 12, 68, 80 }}
Line 670: Line 670:
Mapping: {{mapping| 4 0 22 43 71 -36 | 0 1 -2 -5 -9 8 }}
Mapping: {{mapping| 4 0 22 43 71 -36 | 0 1 -2 -5 -9 8 }}


Optimal tuning (POTE): ~25/21 = 300.000, ~3/2 = 705.301
Optimal tuning (POTE): ~25/21 = 300.000{{c}}, ~3/2 = 705.301{{c}}


{{Optimal ET sequence|legend=0| 12, 68, 80, 148d, 228bcd, 376bbcddf }}
{{Optimal ET sequence|legend=0| 12, 68, 80, 148d, 228bcd, 376bbcddf }}
Line 683: Line 683:
Mapping: {{mapping| 4 0 22 43 71 -36 10 | 0 1 -2 -5 -9 8 1 }}
Mapping: {{mapping| 4 0 22 43 71 -36 10 | 0 1 -2 -5 -9 8 1 }}


Optimal tuning (POTE): ~25/21 = 300.000, ~3/2 = 705.334
Optimal tuning (POTE): ~25/21 = 300.000{{c}}, ~3/2 = 705.334{{c}}


{{Optimal ET sequence|legend=0| 12, 68, 80, 148d, 228bcd, 376bbcddf }}
{{Optimal ET sequence|legend=0| 12, 68, 80, 148d, 228bcd, 376bbcddf }}
Line 696: Line 696:
Mapping: {{mapping| 4 0 22 43 71 -36 10 17 | 0 1 -2 -5 -9 8 1 0 }}
Mapping: {{mapping| 4 0 22 43 71 -36 10 17 | 0 1 -2 -5 -9 8 1 0 }}


Optimal tuning (POTE): ~19/16 = 300.000, ~3/2 = 705.339
Optimal tuning (POTE): ~19/16 = 300.000{{c}}, ~3/2 = 705.339{{c}}


{{Optimal ET sequence|legend=0| 12, 68, 80, 148d, 376bbcddfh }}
{{Optimal ET sequence|legend=0| 12, 68, 80, 148d, 376bbcddfh }}
Line 710: Line 710:


Optimal tunings:
Optimal tunings:
* [[TE]]: ~19/16 = 299.797, ~3/2 = 704.860
* [[TE]]: ~19/16 = 299.797{{c}}, ~3/2 = 704.860{{c}}
* [[CWE]]: ~19/16 = 300.000, ~3/2 = 705.341  
* [[CWE]]: ~19/16 = 300.000{{c}}, ~3/2 = 705.341{{c}}
* [[POTE]]: ~19/16 = 300.000, ~3/2 = 705.337
* [[POTE]]: ~19/16 = 300.000{{c}}, ~3/2 = 705.337{{c}}


{{Optimal ET sequence|legend=0| 12, 68, 80, 148di }}
{{Optimal ET sequence|legend=0| 12, 68, 80, 148di }}
Line 735: Line 735:
: mapping generators: ~45/32, ~9/7
: mapping generators: ~45/32, ~9/7


[[Optimal tuning]] ([[POTE]]): ~45/32 = 600.000, ~9/7 = 434.856
[[Optimal tuning]] ([[POTE]]): ~45/32 = 600.000{{c}}, ~9/7 = 434.856{{c}}


{{Optimal ET sequence|legend=1| 22, 58, 80, 138cd, 218cd }}
{{Optimal ET sequence|legend=1| 22, 58, 80, 138cd, 218cd }}
Line 749: Line 749:
Mapping: {{mapping| 2 1 9 2 12 | 0 3 -6 5 -7 }}
Mapping: {{mapping| 2 1 9 2 12 | 0 3 -6 5 -7 }}


Optimal tuning (POTE): ~45/32 = 600.000, ~9/7 = 434.852
Optimal tuning (POTE): ~45/32 = 600.000{{c}}, ~9/7 = 434.852{{c}}


Minimax tuning:  
Minimax tuning:  
Line 767: Line 767:
Mapping: {{mapping| 2 1 9 2 12 19 | 0 3 -6 5 -7 -16 }}
Mapping: {{mapping| 2 1 9 2 12 19 | 0 3 -6 5 -7 -16 }}


Optimal tuning (POTE): ~45/32 = 600.000, ~9/7 = 434.756
Optimal tuning (POTE): ~45/32 = 600.000{{c}}, ~9/7 = 434.756{{c}}


{{Optimal ET sequence|legend=0| 22, 58, 80, 138cde }}
{{Optimal ET sequence|legend=0| 22, 58, 80, 138cde }}
Line 780: Line 780:
Mapping: {{mapping| 2 1 9 2 12 19 6 | 0 3 -6 5 -7 -16 3 }}
Mapping: {{mapping| 2 1 9 2 12 19 6 | 0 3 -6 5 -7 -16 3 }}


Optimal tuning (POTE): ~17/12 = 600.000, ~9/7 = 434.816
Optimal tuning (POTE): ~17/12 = 600.000{{c}}, ~9/7 = 434.816{{c}}


{{Optimal ET sequence|legend=0| 22, 58, 80, 138cde }}
{{Optimal ET sequence|legend=0| 22, 58, 80, 138cde }}
Line 795: Line 795:
: mapping generators: ~45/32, ~8/7
: mapping generators: ~45/32, ~8/7


[[Optimal tuning]] ([[POTE]]): ~45/32 = 600.000, ~8/7 = 234.492
[[Optimal tuning]] ([[POTE]]): ~45/32 = 600.000{{c}}, ~8/7 = 234.492{{c}}


{{Optimal ET sequence|legend=1| 10, 36, 46, 194bcd, 240bcd, 286bcd, 332bccdd }}
{{Optimal ET sequence|legend=1| 10, 36, 46, 194bcd, 240bcd, 286bcd, 332bccdd }}
Line 808: Line 808:
Mapping: {{mapping| 2 2 7 6 3 | 0 3 -6 -1 10 }}
Mapping: {{mapping| 2 2 7 6 3 | 0 3 -6 -1 10 }}


Optimal tuning (POTE): ~45/32 = 600.000, ~8/7 = 235.096
Optimal tuning (POTE): ~45/32 = 600.000{{c}}, ~8/7 = 235.096{{c}}


{{Optimal ET sequence|legend=0| 10, 36e, 46, 102, 148, 342bcdd }}
{{Optimal ET sequence|legend=0| 10, 36e, 46, 102, 148, 342bcdd }}
Line 821: Line 821:
Mapping: {{mapping| 2 2 7 6 3 7 | 0 3 -6 -1 10 1 }}
Mapping: {{mapping| 2 2 7 6 3 7 | 0 3 -6 -1 10 1 }}


Optimal tuning (POTE): ~45/32 = 600.000, ~8/7 = 235.088
Optimal tuning (POTE): ~45/32 = 600.000{{c}}, ~8/7 = 235.088{{c}}


{{Optimal ET sequence|legend=0| 10, 46, 102, 148f, 194bcdf }}
{{Optimal ET sequence|legend=0| 10, 46, 102, 148f, 194bcdf }}
Line 834: Line 834:
Mapping: {{mapping| 2 2 7 6 3 7 7 | 0 3 -6 -1 10 1 3 }}
Mapping: {{mapping| 2 2 7 6 3 7 7 | 0 3 -6 -1 10 1 3 }}


Optimal tuning (POTE): ~17/12 = 600.000, ~8/7 = 235.088
Optimal tuning (POTE): ~17/12 = 600.000{{c}}, ~8/7 = 235.088{{c}}


{{Optimal ET sequence|legend=0| 10, 46, 102, 148f, 194bcdf }}
{{Optimal ET sequence|legend=0| 10, 46, 102, 148f, 194bcdf }}
Line 857: Line 857:
: mapping generators: ~45/32, ~35/24
: mapping generators: ~45/32, ~35/24


[[Optimal tuning]] ([[POTE]]): ~45/32 = 600.000, ~35/24 = 652.811
[[Optimal tuning]] ([[POTE]]): ~45/32 = 600.000{{c}}, ~35/24 = 652.811{{c}}


{{Optimal ET sequence|legend=1| 22, 46, 68, 182b, 250bc }}
{{Optimal ET sequence|legend=1| 22, 46, 68, 182b, 250bc }}
Line 870: Line 870:
Mapping: {{mapping| 2 1 9 -2 8 | 0 2 -4 7 -1 }}
Mapping: {{mapping| 2 1 9 -2 8 | 0 2 -4 7 -1 }}


Optimal tuning (POTE): ~45/32 = 600.000, ~16/11 = 652.680
Optimal tuning (POTE): ~45/32 = 600.000{{c}}, ~16/11 = 652.680{{c}}


{{Optimal ET sequence|legend=0| 22, 46, 68, 114, 296bce, 410bce }}
{{Optimal ET sequence|legend=0| 22, 46, 68, 114, 296bce, 410bce }}
Line 883: Line 883:
Mapping: {{mapping| 2 1 9 -2 8 -10 | 0 2 -4 7 -1 16 }}
Mapping: {{mapping| 2 1 9 -2 8 -10 | 0 2 -4 7 -1 16 }}


Optimal tuning (POTE): ~45/32 = 600.000, ~16/11 = 652.654
Optimal tuning (POTE): ~45/32 = 600.000{{c}}, ~16/11 = 652.654{{c}}


{{Optimal ET sequence|legend=0| 22f, 24f, 46, 68, 114 }}
{{Optimal ET sequence|legend=0| 22f, 24f, 46, 68, 114 }}
Line 896: Line 896:
Mapping: {{mapping| 2 1 9 -2 8 -10 6 | 0 2 -4 7 -1 16 2 }}
Mapping: {{mapping| 2 1 9 -2 8 -10 6 | 0 2 -4 7 -1 16 2 }}


Optimal tuning (POTE): ~17/12 = 600.000, ~16/11 = 652.647
Optimal tuning (POTE): ~17/12 = 600.000{{c}}, ~16/11 = 652.647{{c}}


{{Optimal ET sequence|legend=0| 22f, 24f, 46, 68, 114 }}
{{Optimal ET sequence|legend=0| 22f, 24f, 46, 68, 114 }}
Line 909: Line 909:
Mapping: {{mapping| 2 1 9 -2 8 -10 6 -10 | 0 2 -4 7 -1 16 2 17 }}
Mapping: {{mapping| 2 1 9 -2 8 -10 6 -10 | 0 2 -4 7 -1 16 2 17 }}


Optimal tuning (POTE): ~17/12 = 600.000, ~16/11 = 652.730
Optimal tuning (POTE): ~17/12 = 600.000{{c}}, ~16/11 = 652.730{{c}}


{{Optimal ET sequence|legend=0| 22fh, 24fh, 46, 68, 114, 182bef }}
{{Optimal ET sequence|legend=0| 22fh, 24fh, 46, 68, 114, 182bef }}
Line 922: Line 922:
Mapping: {{mapping| 2 1 9 -2 8 -10 6 -10 -4 | 0 2 -4 7 -1 16 2 17 12 }}
Mapping: {{mapping| 2 1 9 -2 8 -10 6 -10 -4 | 0 2 -4 7 -1 16 2 17 12 }}


Optimal tuning (POTE): ~17/12 = 600.000, ~16/11 = 652.708
Optimal tuning (POTE): ~17/12 = 600.000{{c}}, ~16/11 = 652.708{{c}}


{{Optimal ET sequence|legend=0| 22fh, 46, 68, 114 }}
{{Optimal ET sequence|legend=0| 22fh, 46, 68, 114 }}
Line 937: Line 937:
: mapping generators: ~45/32, ~140/81
: mapping generators: ~45/32, ~140/81


[[Optimal tuning]] ([[POTE]]): ~45/32 = 600.000, ~140/81 = 951.876
[[Optimal tuning]] ([[POTE]]): ~45/32 = 600.000{{c}}, ~140/81 = 951.876{{c}}


{{Optimal ET sequence|legend=1| 24, 34d, 58, 150cd, 208ccdd, 266ccdd }}
{{Optimal ET sequence|legend=1| 24, 34d, 58, 150cd, 208ccdd, 266ccdd }}
Line 950: Line 950:
Mapping: {{mapping| 2 0 11 -15 -1 | 0 2 -4 13 5 }}
Mapping: {{mapping| 2 0 11 -15 -1 | 0 2 -4 13 5 }}


Optimal tuning (POTE): ~45/32 = 600.000, ~121/70 = 951.863
Optimal tuning (POTE): ~45/32 = 600.000{{c}}, ~121/70 = 951.863{{c}}


{{Optimal ET sequence|legend=0| 24, 34d, 58 }}
{{Optimal ET sequence|legend=0| 24, 34d, 58 }}
Line 963: Line 963:
Mapping: {{mapping| 2 0 11 -15 -1 9 | 0 2 -4 13 5 -1 }}
Mapping: {{mapping| 2 0 11 -15 -1 9 | 0 2 -4 13 5 -1 }}


Optimal tuning (POTE): ~45/32 = 600.000, ~26/15 = 951.886
Optimal tuning (POTE): ~45/32 = 600.000{{c}}, ~26/15 = 951.886{{c}}


{{Optimal ET sequence|legend=0| 24, 34d, 58, 150cdeef, 208ccddeeff }}
{{Optimal ET sequence|legend=0| 24, 34d, 58, 150cdeef, 208ccddeeff }}
Line 976: Line 976:
Mapping: {{mapping| 2 0 11 -15 -1 9 5 | 0 2 -4 13 5 -1 2 }}
Mapping: {{mapping| 2 0 11 -15 -1 9 5 | 0 2 -4 13 5 -1 2 }}


Optimal tuning (POTE): ~17/12 = 600.000, ~26/15 = 951.857
Optimal tuning (POTE): ~17/12 = 600.000{{c}}, ~26/15 = 951.857{{c}}


{{Optimal ET sequence|legend=0| 24, 34d, 58 }}
{{Optimal ET sequence|legend=0| 24, 34d, 58 }}
Line 991: Line 991:
: mapping generators: ~45/32, ~7/4
: mapping generators: ~45/32, ~7/4


[[Optimal tuning]] ([[POTE]]): ~45/32 = 600.000, ~7/4 = 953.021
[[Optimal tuning]] ([[POTE]]): ~45/32 = 600.000{{c}}, ~7/4 = 953.021{{c}}


{{Optimal ET sequence|legend=1| 10, 24, 34 }}
{{Optimal ET sequence|legend=1| 10, 24, 34 }}
Line 1,004: Line 1,004:
Mapping: {{mapping| 2 0 11 4 -1 | 0 2 -4 1 5 }}
Mapping: {{mapping| 2 0 11 4 -1 | 0 2 -4 1 5 }}


Optimal tuning (POTE): ~45/32 = 600.000, ~7/4 = 952.184
Optimal tuning (POTE): ~45/32 = 600.000{{c}}, ~7/4 = 952.184{{c}}


{{Optimal ET sequence|legend=0| 10, 24, 34, 58d, 92de }}
{{Optimal ET sequence|legend=0| 10, 24, 34, 58d, 92de }}
Line 1,017: Line 1,017:
Mapping: {{mapping| 2 0 11 4 -1 9 | 0 2 -4 1 5 -1 }}
Mapping: {{mapping| 2 0 11 4 -1 9 | 0 2 -4 1 5 -1 }}


Optimal tuning (POTE): ~45/32 = 600.000, ~7/4 = 952.309
Optimal tuning (POTE): ~45/32 = 600.000{{c}}, ~7/4 = 952.309{{c}}


{{Optimal ET sequence|legend=0| 10, 24, 34, 58d, 92ddef }}
{{Optimal ET sequence|legend=0| 10, 24, 34, 58d, 92ddef }}
Line 1,030: Line 1,030:
Mapping: {{mapping| 2 0 11 4 -1 9 5 | 0 2 -4 1 5 -1 2 }}
Mapping: {{mapping| 2 0 11 4 -1 9 5 | 0 2 -4 1 5 -1 2 }}


Optimal tuning (POTE): ~17/12 = 600.000, ~7/4 = 952.330
Optimal tuning (POTE): ~17/12 = 600.000{{c}}, ~7/4 = 952.330{{c}}


{{Optimal ET sequence|legend=0| 10, 24, 34, 58d, 92ddef }}
{{Optimal ET sequence|legend=0| 10, 24, 34, 58d, 92ddef }}
Line 1,045: Line 1,045:
: mapping generators: ~45/32, ~10/7
: mapping generators: ~45/32, ~10/7


[[Optimal tuning]] ([[POTE]]): ~45/32 = 600.000, ~10/7 = 650.135
[[Optimal tuning]] ([[POTE]]): ~45/32 = 600.000{{c}}, ~10/7 = 650.135{{c}}


{{Optimal ET sequence|legend=1| 2, 22d, 24 }}
{{Optimal ET sequence|legend=1| 2, 22d, 24 }}
Line 1,058: Line 1,058:
Mapping: {{mapping| 2 1 9 11 8 | 0 2 -4 -5 -1 }}
Mapping: {{mapping| 2 1 9 11 8 | 0 2 -4 -5 -1 }}


Optimal tuning (POTE): ~45/32 = 600.000, ~10/7 = 650.130
Optimal tuning (POTE): ~45/32 = 600.000{{c}}, ~10/7 = 650.130{{c}}


{{Optimal ET sequence|legend=0| 2, 22d, 24 }}
{{Optimal ET sequence|legend=0| 2, 22d, 24 }}
Line 1,071: Line 1,071:
Mapping: {{mapping| 2 1 9 11 8 15 | 0 2 -4 -5 -1 -7 }}
Mapping: {{mapping| 2 1 9 11 8 15 | 0 2 -4 -5 -1 -7 }}


Optimal tuning (POTE): ~45/32 = 600.000, ~10/7 = 650.535
Optimal tuning (POTE): ~45/32 = 600.000{{c}}, ~10/7 = 650.535{{c}}


{{Optimal ET sequence|legend=0| 22df, 24 }}
{{Optimal ET sequence|legend=0| 22df, 24 }}
Line 1,086: Line 1,086:
: mapping generators: ~45/32, ~21/16
: mapping generators: ~45/32, ~21/16


[[Optimal tuning]] ([[POTE]]): ~45/32 = 600.000, ~21/16 = 476.216
[[Optimal tuning]] ([[POTE]]): ~45/32 = 600.000{{c}}, ~21/16 = 476.216{{c}}


{{Optimal ET sequence|legend=1| 10, 38c, 48c, 58, 68, 126 }}
{{Optimal ET sequence|legend=1| 10, 38c, 48c, 58, 68, 126 }}
Line 1,099: Line 1,099:
Mapping: {{mapping| 2 0 11 8 22 | 0 4 -8 -3 -19 }}
Mapping: {{mapping| 2 0 11 8 22 | 0 4 -8 -3 -19 }}


Optimal tuning (POTE): ~45/32 = 600.000, ~21/16 = 476.118
Optimal tuning (POTE): ~45/32 = 600.000{{c}}, ~21/16 = 476.118{{c}}


{{Optimal ET sequence|legend=0| 58, 126, 184c, 310bccde }}
{{Optimal ET sequence|legend=0| 58, 126, 184c, 310bccde }}
Line 1,112: Line 1,112:
Mapping: {{mapping| 2 0 11 8 22 9 | 0 4 -8 -3 -19 -2 }}
Mapping: {{mapping| 2 0 11 8 22 9 | 0 4 -8 -3 -19 -2 }}


Optimal tuning (POTE): ~45/32 = 600.000, ~21/16 = 476.099
Optimal tuning (POTE): ~45/32 = 600.000{{c}}, ~21/16 = 476.099{{c}}


{{Optimal ET sequence|legend=0| 58, 126f, 184cff }}
{{Optimal ET sequence|legend=0| 58, 126f, 184cff }}
Line 1,125: Line 1,125:
Mapping: {{mapping| 2 0 11 8 22 9 5 | 0 4 -8 -3 -19 -2 4 }}
Mapping: {{mapping| 2 0 11 8 22 9 5 | 0 4 -8 -3 -19 -2 4 }}


Optimal tuning (POTE): ~17/12 = 600.000, ~21/16 = 476.162
Optimal tuning (POTE): ~17/12 = 600.000{{c}}, ~21/16 = 476.162{{c}}


{{Optimal ET sequence|legend=0| 58, 126f }}
{{Optimal ET sequence|legend=0| 58, 126f }}
Line 1,138: Line 1,138:
Mapping: {{mapping| 2 0 11 8 -1 | 0 4 -8 -3 10 }}
Mapping: {{mapping| 2 0 11 8 -1 | 0 4 -8 -3 10 }}


Optimal tuning (POTE): ~45/32 = 600.000, ~21/16 = 476.017
Optimal tuning (POTE): ~45/32 = 600.000{{c}}, ~21/16 = 476.017{{c}}


{{Optimal ET sequence|legend=0| 10, 38c, 48c, 58 }}
{{Optimal ET sequence|legend=0| 10, 38c, 48c, 58 }}
Line 1,151: Line 1,151:
Mapping: {{mapping| 2 0 11 8 -1 9 | 0 4 -8 -3 10 -2 }}
Mapping: {{mapping| 2 0 11 8 -1 9 | 0 4 -8 -3 10 -2 }}


Optimal tuning (POTE): ~45/32 = 600.000, ~21/16 = 476.028
Optimal tuning (POTE): ~45/32 = 600.000{{c}}, ~21/16 = 476.028{{c}}


{{Optimal ET sequence|legend=0| 10, 38c, 48c, 58 }}
{{Optimal ET sequence|legend=0| 10, 38c, 48c, 58 }}
Line 1,164: Line 1,164:
Mapping: {{mapping| 2 0 11 8 -1 9 5 | 0 4 -8 -3 10 -2 4 }}
Mapping: {{mapping| 2 0 11 8 -1 9 5 | 0 4 -8 -3 10 -2 4 }}


Optimal tuning (POTE): ~17/12 = 600.000, ~21/16 = 476.077
Optimal tuning (POTE): ~17/12 = 600.000{{c}}, ~21/16 = 476.077{{c}}


{{Optimal ET sequence|legend=0| 10, 38c, 48c, 58, 126eef, 184ceeff }}
{{Optimal ET sequence|legend=0| 10, 38c, 48c, 58, 126eef, 184ceeff }}