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No-sevens subgroup temperaments: Difference between revisions

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"optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence
Line 16: Line 16:
[[Tp tuning|POL2 generator]]: ~5/4 = 346.734
[[Tp tuning|POL2 generator]]: ~5/4 = 346.734


{{Val list|legend=1| 3e, 4e, 7, 24c, 31c, 38cc, 45cce }}
{{Optimal ET sequence|legend=1| 3e, 4e, 7, 24c, 31c, 38cc, 45cce }}


[[Tp tuning #T2 tuning|RMS error]]: 5.621 cents
[[Tp tuning #T2 tuning|RMS error]]: 5.621 cents
Line 35: Line 35:
[[Tp tuning|POL2 generator]]: ~5/4 = 350.526
[[Tp tuning|POL2 generator]]: ~5/4 = 350.526


{{Val list|legend=1| 3e, 7, 17, 24c }}
{{Optimal ET sequence|legend=1| 3e, 7, 17, 24c }}


[[Tp tuning #T2 tuning|RMS error]]: 5.916 cents
[[Tp tuning #T2 tuning|RMS error]]: 5.916 cents
Line 52: Line 52:
[[Tp tuning|POL2 generator]]: ~4/3 = 520.212
[[Tp tuning|POL2 generator]]: ~4/3 = 520.212


{{Val list|legend=1| 7, 16, 23e, 30bce }}
{{Optimal ET sequence|legend=1| 7, 16, 23e, 30bce }}


[[Tp tuning #T2 tuning|RMS error]]: 4.705 cents
[[Tp tuning #T2 tuning|RMS error]]: 4.705 cents
Line 71: Line 71:
[[Tp tuning|POL2 generator]]: ~11/10 = 164.078
[[Tp tuning|POL2 generator]]: ~11/10 = 164.078


{{Val list|legend=1| 7, 15, 22, 37, 73ce, 95ce, 117bce }}
{{Optimal ET sequence|legend=1| 7, 15, 22, 37, 73ce, 95ce, 117bce }}


[[Tp tuning #T2 tuning|RMS error]]: 2.287 cents
[[Tp tuning #T2 tuning|RMS error]]: 2.287 cents
Line 90: Line 90:
[[Tp tuning|POL2 generator]]: ~11/9 = 348.094
[[Tp tuning|POL2 generator]]: ~11/9 = 348.094


{{Val list|legend=1| 7, 17c, 24, 31, 69e, 100e, 131bee }}
{{Optimal ET sequence|legend=1| 7, 17c, 24, 31, 69e, 100e, 131bee }}


[[Tp tuning #T2 tuning|RMS error]]: 1.392 cents
[[Tp tuning #T2 tuning|RMS error]]: 1.392 cents
Line 112: Line 112:
[[Tp tuning|POL2 generator]]: ~11/9 = 348.916
[[Tp tuning|POL2 generator]]: ~11/9 = 348.916


{{Val list|legend=1| 7, 17c, 24, 31, 55, 86ef, 141ceff }}
{{Optimal ET sequence|legend=1| 7, 17c, 24, 31, 55, 86ef, 141ceff }}


[[Tp tuning #T2 tuning|RMS error]]: 1.971 cents
[[Tp tuning #T2 tuning|RMS error]]: 1.971 cents
Line 131: Line 131:
[[Tp tuning|POL2 generator]]: ~10/9 = 175.985
[[Tp tuning|POL2 generator]]: ~10/9 = 175.985


{{Val list|legend=1| 7, 27e, 34, 41, 75e }}
{{Optimal ET sequence|legend=1| 7, 27e, 34, 41, 75e }}


[[Tp tuning #T2 tuning|RMS error]]: 1.182 cents
[[Tp tuning #T2 tuning|RMS error]]: 1.182 cents
Line 150: Line 150:
[[Tp tuning|POL2 generator]]: ~10/9 = 176.196
[[Tp tuning|POL2 generator]]: ~10/9 = 176.196


{{Val list|legend=1| 7, 27e, 34, 41, 75e }}
{{Optimal ET sequence|legend=1| 7, 27e, 34, 41, 75e }}


[[Tp tuning #T2 tuning|RMS error]]: 1.140 cents
[[Tp tuning #T2 tuning|RMS error]]: 1.140 cents
Line 169: Line 169:
[[Tp tuning|POL2 generator]]: ~363/320 = 216.182
[[Tp tuning|POL2 generator]]: ~363/320 = 216.182


{{Val list|legend=1| 11b, 28bbcc, 39bc, 50, 111, 161, 272 }}
{{Optimal ET sequence|legend=1| 11b, 28bbcc, 39bc, 50, 111, 161, 272 }}


[[Tp tuning #T2 tuning|RMS error]]: 0.3717 cents
[[Tp tuning #T2 tuning|RMS error]]: 0.3717 cents
Line 186: Line 186:
[[Tp tuning|POL2 generator]]: ~192/169 = 216.186
[[Tp tuning|POL2 generator]]: ~192/169 = 216.186


{{Val list|legend=1| 11b, 28bbccf, 39bc, 50, 111, 272, 383cf }}
{{Optimal ET sequence|legend=1| 11b, 28bbccf, 39bc, 50, 111, 272, 383cf }}


[[Tp tuning #T2 tuning|RMS error]]: 0.3705 cents
[[Tp tuning #T2 tuning|RMS error]]: 0.3705 cents
Line 203: Line 203:
[[Tp tuning|POL2 generator]]: ~40/27 = 683.166
[[Tp tuning|POL2 generator]]: ~40/27 = 683.166


{{Val list|legend=1| 7, 58, 65, 137, 202 }}
{{Optimal ET sequence|legend=1| 7, 58, 65, 137, 202 }}


[[Tp tuning #T2 tuning|RMS error]]: 0.3025 cents
[[Tp tuning #T2 tuning|RMS error]]: 0.3025 cents
Line 222: Line 222:
[[Tp tuning|POL2 generator]]: ~400/363 = 172.8796
[[Tp tuning|POL2 generator]]: ~400/363 = 172.8796


{{Val list|legend=1| 7, 111, 118 }}
{{Optimal ET sequence|legend=1| 7, 111, 118 }}


[[Tp tuning #T2 tuning|RMS error]]: 0.2393 cents
[[Tp tuning #T2 tuning|RMS error]]: 0.2393 cents
Line 243: Line 243:
[[Tp tuning|POL2 generator]]: ~100/99 = 15.0773
[[Tp tuning|POL2 generator]]: ~100/99 = 15.0773


{{Val list|legend=1| 79, 80, 159, 239, 398 }}
{{Optimal ET sequence|legend=1| 79, 80, 159, 239, 398 }}


[[Tp tuning #T2 tuning|RMS error]]: 0.1682 cents
[[Tp tuning #T2 tuning|RMS error]]: 0.1682 cents
Line 260: Line 260:
[[Tp tuning|POL2 generator]]: ~100/99 = 15.0885
[[Tp tuning|POL2 generator]]: ~100/99 = 15.0885


{{Val list|legend=1| 79, 80, 159 }}
{{Optimal ET sequence|legend=1| 79, 80, 159 }}


[[Tp tuning #T2 tuning|RMS error]]: 0.2830 cents
[[Tp tuning #T2 tuning|RMS error]]: 0.2830 cents
Line 279: Line 279:
[[Tp tuning|POL2 generator]]: ~11/8 = 551.7778
[[Tp tuning|POL2 generator]]: ~11/8 = 551.7778


{{Val list|legend=1| 37, 50, 87, 137, 224 }}
{{Optimal ET sequence|legend=1| 37, 50, 87, 137, 224 }}


[[Tp tuning #T2 tuning|RMS error]]: 0.1188 cents
[[Tp tuning #T2 tuning|RMS error]]: 0.1188 cents
Line 296: Line 296:
[[Tp tuning|POL2 generator]]: ~11/8 = 551.7753
[[Tp tuning|POL2 generator]]: ~11/8 = 551.7753


{{Val list|legend=1| 37, 50, 87, 137, 224 }}
{{Optimal ET sequence|legend=1| 37, 50, 87, 137, 224 }}


[[Tp tuning #T2 tuning|RMS error]]: 0.1250 cents
[[Tp tuning #T2 tuning|RMS error]]: 0.1250 cents
Line 315: Line 315:
[[Tp tuning|POL2 generator]]: ~13/9 = 633.997
[[Tp tuning|POL2 generator]]: ~13/9 = 633.997


{{Val list|legend=1| 17c, 36c, 53 }}
{{Optimal ET sequence|legend=1| 17c, 36c, 53 }}


[[Tp tuning #T2 tuning|RMS error]]: 0.2342 cents
[[Tp tuning #T2 tuning|RMS error]]: 0.2342 cents
Line 334: Line 334:
[[Tp tuning|POL2 generator]]: ~125/96 = 458.988
[[Tp tuning|POL2 generator]]: ~125/96 = 458.988


{{Val list|legend=1| 34, 149, 183, 217, 400 }}
{{Optimal ET sequence|legend=1| 34, 149, 183, 217, 400 }}


[[Tp tuning #T2 tuning|RMS error]]: 0.1171 cents
[[Tp tuning #T2 tuning|RMS error]]: 0.1171 cents
Line 351: Line 351:
[[Tp tuning|POL2 generator]]: ~125/96 = 458.991
[[Tp tuning|POL2 generator]]: ~125/96 = 458.991


{{Val list|legend=1| 34, 149, 183, 217, 400 }}
{{Optimal ET sequence|legend=1| 34, 149, 183, 217, 400 }}


[[Tp tuning #T2 tuning|RMS error]]: 0.1129 cents
[[Tp tuning #T2 tuning|RMS error]]: 0.1129 cents
Line 368: Line 368:
[[Tp tuning|POL2 generator]]: ~3/2 = 701.491
[[Tp tuning|POL2 generator]]: ~3/2 = 701.491


{{Val list|legend=1| 12, 41, 53, 65 }}
{{Optimal ET sequence|legend=1| 12, 41, 53, 65 }}


[[Tp tuning #T2 tuning|RMS error]]: 0.4842 cents
[[Tp tuning #T2 tuning|RMS error]]: 0.4842 cents
Line 387: Line 387:
[[Tp tuning|POL2 generator]]: ~3/2 = 701.470
[[Tp tuning|POL2 generator]]: ~3/2 = 701.470


{{Val list|legend=1| 12, 41, 53, 65 }}
{{Optimal ET sequence|legend=1| 12, 41, 53, 65 }}


[[Tp tuning #T2 tuning|RMS error]]: 0.5374 cents
[[Tp tuning #T2 tuning|RMS error]]: 0.5374 cents
Line 406: Line 406:
[[Tp tuning|POL2 generator]]: ~18/17 = 99.272
[[Tp tuning|POL2 generator]]: ~18/17 = 99.272


{{Val list|legend=1| 12, 109, 121, 133 }}
{{Optimal ET sequence|legend=1| 12, 109, 121, 133 }}


[[Tp tuning #T2 tuning|RMS error]]: 0.3051 cents
[[Tp tuning #T2 tuning|RMS error]]: 0.3051 cents
Line 423: Line 423:
[[Tp tuning|POL2 generator]]: ~18/17 = 99.276
[[Tp tuning|POL2 generator]]: ~18/17 = 99.276


{{Val list|legend=1| 12, 109, 121, 133 }}
{{Optimal ET sequence|legend=1| 12, 109, 121, 133 }}


[[Tp tuning #T2 tuning|RMS error]]: 0.3427 cents
[[Tp tuning #T2 tuning|RMS error]]: 0.3427 cents
Line 442: Line 442:
[[Tp tuning|POL2 generator]]: ~18/17 = 99.524
[[Tp tuning|POL2 generator]]: ~18/17 = 99.524


{{Val list|legend=1| 12, 169, 181, 193, 205, 422 }}
{{Optimal ET sequence|legend=1| 12, 169, 181, 193, 205, 422 }}


[[Tp tuning #T2 tuning|RMS error]]: 0.0757 cents
[[Tp tuning #T2 tuning|RMS error]]: 0.0757 cents
Line 459: Line 459:
[[Tp tuning|POL2 generator]]: ~18/17 = 99.524
[[Tp tuning|POL2 generator]]: ~18/17 = 99.524


{{Val list|legend=1| 12, 169, 181, 193, 205, 422 }}
{{Optimal ET sequence|legend=1| 12, 169, 181, 193, 205, 422 }}


[[Tp tuning #T2 tuning|RMS error]]: 0.0813 cents
[[Tp tuning #T2 tuning|RMS error]]: 0.0813 cents
Line 478: Line 478:
[[Tp tuning|POL2 generator]]: ~18/17 = 99.649
[[Tp tuning|POL2 generator]]: ~18/17 = 99.649


{{Val list|legend=1| 12, 253, 265, 277, 289 }}
{{Optimal ET sequence|legend=1| 12, 253, 265, 277, 289 }}


[[Tp tuning #T2 tuning|RMS error]]: 0.0719 cents
[[Tp tuning #T2 tuning|RMS error]]: 0.0719 cents
Line 495: Line 495:
[[Tp tuning|POL2 generator]]: ~18/17 = 99.652
[[Tp tuning|POL2 generator]]: ~18/17 = 99.652


{{Val list|legend=1| 12, 253, 265, 277, 289 }}
{{Optimal ET sequence|legend=1| 12, 253, 265, 277, 289 }}


[[Tp tuning #T2 tuning|RMS error]]: 0.1636 cents
[[Tp tuning #T2 tuning|RMS error]]: 0.1636 cents
Line 512: Line 512:
[[Tp tuning|POL2 generator]]: ~3/2 = 697.867
[[Tp tuning|POL2 generator]]: ~3/2 = 697.867


{{Val list|legend=1| 5, 7, 12, 31, 43 }}
{{Optimal ET sequence|legend=1| 5, 7, 12, 31, 43 }}


[[Tp tuning #T2 tuning|RMS error]]: 1.378 cents
[[Tp tuning #T2 tuning|RMS error]]: 1.378 cents
Line 531: Line 531:
[[Tp tuning|POL2 generator]]: ~3/2 = 701.746
[[Tp tuning|POL2 generator]]: ~3/2 = 701.746


{{Val list|legend=1| 12, 29, 41, 53, 118, 171 }}
{{Optimal ET sequence|legend=1| 12, 29, 41, 53, 118, 171 }}


[[Tp tuning #T2 tuning|RMS error]]: 0.1763 cents
[[Tp tuning #T2 tuning|RMS error]]: 0.1763 cents
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