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Augmented family: Difference between revisions

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"optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence
Line 16: Line 16:
[[Optimal tuning]] ([[CTE]]): ~5/4 = 1\3, ~3/2 = 701.9550
[[Optimal tuning]] ([[CTE]]): ~5/4 = 1\3, ~3/2 = 701.9550


{{Val list|legend=1| 3, 12, 27, 39, 51c, 90cc }}
{{Optimal ET sequence|legend=1| 3, 12, 27, 39, 51c, 90cc }}


[[Badness]]: 0.022315
[[Badness]]: 0.022315
Line 34: Line 34:
[[Optimal tuning]] ([[CTE]]): ~5/4 = 1\3, ~3/2 = 692.1237
[[Optimal tuning]] ([[CTE]]): ~5/4 = 1\3, ~3/2 = 692.1237


{{Val list|legend=1| 9, 12, 45cd, 57cd, 69cdd }}
{{Optimal ET sequence|legend=1| 9, 12, 45cd, 57cd, 69cdd }}


[[Badness]]: 0.026459
[[Badness]]: 0.026459
Line 47: Line 47:
Optimal tuning (CTE): ~5/4 = 1\3, ~3/2 = 687.6853
Optimal tuning (CTE): ~5/4 = 1\3, ~3/2 = 687.6853


Optimal GPV sequence: {{Val list| 9, 12, 21, 33e, 45cde }}
{{Optimal ET sequence|legend=1| 9, 12, 21, 33e, 45cde }}


Badness: 0.020191
Badness: 0.020191
Line 60: Line 60:
Optimal tuning (CTE): ~5/4 = 1\3, ~3/2 = 685.0836
Optimal tuning (CTE): ~5/4 = 1\3, ~3/2 = 685.0836


Optimal GPV sequence: {{Val list| 9, 12f, 21, 33ef, 54bceeff }}
{{Optimal ET sequence|legend=1| 9, 12f, 21, 33ef, 54bceeff }}


Badness: 0.018448
Badness: 0.018448
Line 73: Line 73:
Optimal tuning (CTE): ~5/4 = 1\3, ~3/2 = 687.6853
Optimal tuning (CTE): ~5/4 = 1\3, ~3/2 = 687.6853


Optimal GPV sequence: {{Val list| 9, 12, 21f }}
{{Optimal ET sequence|legend=1| 9, 12, 21f }}


Badness: 0.022236
Badness: 0.022236
Line 88: Line 88:
[[Optimal tuning]] ([[CTE]]): ~5/4 = 1\3, ~3/2 = 709.5948
[[Optimal tuning]] ([[CTE]]): ~5/4 = 1\3, ~3/2 = 709.5948


{{Val list|legend=1| 12, 27, 39d, 66cd }}
{{Optimal ET sequence|legend=1| 12, 27, 39d, 66cd }}


[[Badness]]: 0.024816
[[Badness]]: 0.024816
Line 101: Line 101:
Optimal tuning (CTE): ~5/4 = 1\3, ~3/2 = 713.5701
Optimal tuning (CTE): ~5/4 = 1\3, ~3/2 = 713.5701


Optimal GPV sequence: {{Val list| 12, 15, 27e }}
{{Optimal ET sequence|legend=1| 12, 15, 27e }}


Badness: 0.019613
Badness: 0.019613
Line 114: Line 114:
Optimal tuning (CTE): ~5/4 = 1\3, ~3/2 = 716.1234
Optimal tuning (CTE): ~5/4 = 1\3, ~3/2 = 716.1234


Optimal GPV sequence: {{Val list| 12f, 15, 27eff }}
{{Optimal ET sequence|legend=1| 12f, 15, 27eff }}


Badness: 0.020785
Badness: 0.020785
Line 127: Line 127:
Optimal tuning (CTE): ~5/4 = 1\3, ~3/2 = 711.9020
Optimal tuning (CTE): ~5/4 = 1\3, ~3/2 = 711.9020


Optimal GPV sequence: {{Val list| 12, 15, 27e, 69bceef }}
{{Optimal ET sequence|legend=1| 12, 15, 27e, 69bceef }}


Badness: 0.022890
Badness: 0.022890
Line 140: Line 140:
Optimal tuning (CTE): ~5/4 = 1\3, ~3/2 = 712.5722
Optimal tuning (CTE): ~5/4 = 1\3, ~3/2 = 712.5722


Optimal GPV sequence: {{Val list| 12f, 27e }}
{{Optimal ET sequence|legend=1| 12f, 27e }}


Badness: 0.023113
Badness: 0.023113
Line 153: Line 153:
Optimal tuning (CTE): ~5/4 = 1\3, ~3/2 = 713.0025
Optimal tuning (CTE): ~5/4 = 1\3, ~3/2 = 713.0025


Optimal GPV sequence: {{Val list| 12e, 15, 27, 42 }}
{{Optimal ET sequence|legend=1| 12e, 15, 27, 42 }}


Badness: 0.035554
Badness: 0.035554
Line 172: Line 172:
[[Optimal tuning]] ([[CTE]]): ~5/4 = 1\3, ~3/2 = 717.5172
[[Optimal tuning]] ([[CTE]]): ~5/4 = 1\3, ~3/2 = 717.5172


{{Val list|legend=1| 3d, 12d, 15 }}
{{Optimal ET sequence|legend=1| 3d, 12d, 15 }}


[[Badness]]: 0.054729
[[Badness]]: 0.054729
Line 185: Line 185:
Optimal tuning (CTE): ~5/4 = 1\3, ~3/2 = 717.5172
Optimal tuning (CTE): ~5/4 = 1\3, ~3/2 = 717.5172


Optimal GPV sequence: {{Val list| 3de, 12de, 15 }}
{{Optimal ET sequence|legend=1| 3de, 12de, 15 }}


Badness: 0.031171
Badness: 0.031171
Line 200: Line 200:
[[Optimal tuning]] ([[CTE]]): ~5/4 = 1\3, ~3/2 = 684.8473
[[Optimal tuning]] ([[CTE]]): ~5/4 = 1\3, ~3/2 = 684.8473


{{Val list|legend=1| 3, 9 }}
{{Optimal ET sequence|legend=1| 3, 9 }}


[[Badness]]: 0.059079
[[Badness]]: 0.059079
Line 213: Line 213:
Optimal tuning (CTE): ~5/4 = 1\3, ~3/2 = 679.881
Optimal tuning (CTE): ~5/4 = 1\3, ~3/2 = 679.881


Optimal GPV sequence: {{Val list| 3, 9 }}
{{Optimal ET sequence|legend=1| 3, 9 }}


Badness: 0.037183
Badness: 0.037183
Line 230: Line 230:
[[Optimal tuning]] ([[CTE]]): ~28/25 = 1\6, ~3/2 = 701.9550
[[Optimal tuning]] ([[CTE]]): ~28/25 = 1\6, ~3/2 = 701.9550


{{Val list|legend=1| 6, 12, 30d, 42dd, 54cdd }}
{{Optimal ET sequence|legend=1| 6, 12, 30d, 42dd, 54cdd }}


[[Badness]]: 0.057730
[[Badness]]: 0.057730
Line 243: Line 243:
Optimal tuning (CTE): ~28/25 = 1\6, ~3/2 = 701.9550
Optimal tuning (CTE): ~28/25 = 1\6, ~3/2 = 701.9550


Optimal GPV sequence: {{Val list| 6, 12, 30dee, 42ddeee }}
{{Optimal ET sequence|legend=1| 6, 12, 30dee, 42ddeee }}


Badness: 0.038412
Badness: 0.038412
Line 256: Line 256:
Optimal tuning (CTE): ~28/25 = 1\6, ~3/2 = 692.4327
Optimal tuning (CTE): ~28/25 = 1\6, ~3/2 = 692.4327


Optimal GPV sequence: {{Val list| 6f, 12f }}
{{Optimal ET sequence|legend=1| 6f, 12f }}


Badness: 0.035946
Badness: 0.035946
Line 275: Line 275:
[[Optimal tuning]] ([[CTE]]): ~5/4 = 1\3, ~7/4 = 952.2948
[[Optimal tuning]] ([[CTE]]): ~5/4 = 1\3, ~7/4 = 952.2948


{{Val list|legend=1| 6, 9, 15, 24, 39, 63cd, 102ccdd }}
{{Optimal ET sequence|legend=1| 6, 9, 15, 24, 39, 63cd, 102ccdd }}


[[Badness]]: 0.054988
[[Badness]]: 0.054988
Line 288: Line 288:
Optimal tuning (CTE): ~5/4 = 1\3, ~7/4 = 952.2495
Optimal tuning (CTE): ~5/4 = 1\3, ~7/4 = 952.2495


Optimal GPV sequence: {{Val list| 6, 9, 15, 24, 39 }}
{{Optimal ET sequence|legend=1| 6, 9, 15, 24, 39 }}


Badness: 0.026152
Badness: 0.026152
Line 305: Line 305:
Optimal tuning (CTE): ~5/4 = 1\3, ~7/4 = 950.8049
Optimal tuning (CTE): ~5/4 = 1\3, ~7/4 = 950.8049


Optimal GPV sequence: {{Val list| 6, 9, 15, 24 }}
{{Optimal ET sequence|legend=1| 6, 9, 15, 24 }}


Badness: 0.020248
Badness: 0.020248
Line 323: Line 323:
Optimal tuning (CTE): ~44/39 = 1\6, ~7/4 = 952.5307
Optimal tuning (CTE): ~44/39 = 1\6, ~7/4 = 952.5307


Optimal GPV sequence: {{Val list| 6, 18bd, 24 }}
{{Optimal ET sequence|legend=1| 6, 18bd, 24 }}


Badness: 0.059160
Badness: 0.059160
Line 340: Line 340:
[[Optimal tuning]] ([[CTE]]): ~5/4 = 1\3, ~14/9 = 752.8335 (~36/35 = 47.1665)
[[Optimal tuning]] ([[CTE]]): ~5/4 = 1\3, ~14/9 = 752.8335 (~36/35 = 47.1665)


{{Val list|legend=1| 24, 27 }}
{{Optimal ET sequence|legend=1| 24, 27 }}


[[Badness]]: 0.070463
[[Badness]]: 0.070463
Line 353: Line 353:
Optimal tuning (CTE): ~5/4 = 1\3, ~14/9 = 752.0512 (~36/35 = 47.9488)
Optimal tuning (CTE): ~5/4 = 1\3, ~14/9 = 752.0512 (~36/35 = 47.9488)


Optimal GPV sequence: {{Val list| 24, 27e, 51ce }}
{{Optimal ET sequence|legend=1| 24, 27e, 51ce }}


Badness: 0.038232
Badness: 0.038232
Line 366: Line 366:
Optimal tuning (CTE): ~5/4 = 1\3, ~14/9 = 752.1284 (or ~36/35 = 47.8716)
Optimal tuning (CTE): ~5/4 = 1\3, ~14/9 = 752.1284 (or ~36/35 = 47.8716)


Optimal GPV sequence: {{Val list| 24, 27e, 51ce }}
{{Optimal ET sequence|legend=1| 24, 27e, 51ce }}


Badness: 0.030159
Badness: 0.030159
Line 383: Line 383:
[[Optimal tuning]] ([[CTE]]): ~5/4 = 1\3, ~32/21 = 747.9484 (~21/20 = 52.0516)
[[Optimal tuning]] ([[CTE]]): ~5/4 = 1\3, ~32/21 = 747.9484 (~21/20 = 52.0516)


{{Val list|legend=1| 21, 24, 45c }}
{{Optimal ET sequence|legend=1| 21, 24, 45c }}


[[Badness]]: 0.137764
[[Badness]]: 0.137764
Line 396: Line 396:
Optimal tuning (CTE): ~5/4 = 1\3, ~32/21 = 748.2962 (~33/32 = 51.7038)
Optimal tuning (CTE): ~5/4 = 1\3, ~32/21 = 748.2962 (~33/32 = 51.7038)


Optimal GPV sequence: {{Val list| 21, 24 }}
{{Optimal ET sequence|legend=1| 21, 24 }}


Badness: 0.068062
Badness: 0.068062
Line 409: Line 409:
Optimal tuning (CTE): ~5/4 = 1\3, ~32/21 = 748.5255 (~33/32 = 51.4745)
Optimal tuning (CTE): ~5/4 = 1\3, ~32/21 = 748.5255 (~33/32 = 51.4745)


Optimal GPV sequence: {{Val list| 21, 24 }}
{{Optimal ET sequence|legend=1| 21, 24 }}


Badness: 0.042289
Badness: 0.042289
Line 426: Line 426:
[[Optimal tuning]] ([[CTE]]): ~5/4 = 1\3, ~28/25 = 175.3586
[[Optimal tuning]] ([[CTE]]): ~5/4 = 1\3, ~28/25 = 175.3586


{{Val list|legend=1| 6, 21, 27, 75c, 102ccd, 129bccd }}
{{Optimal ET sequence|legend=1| 6, 21, 27, 75c, 102ccd, 129bccd }}


[[Badness]]: 0.113209
[[Badness]]: 0.113209
Line 439: Line 439:
Optimal tuning (CTE): ~5/4 = 1\3, ~11/10 = 175.0533
Optimal tuning (CTE): ~5/4 = 1\3, ~11/10 = 175.0533


Optimal GPV sequence: {{Val list| 6, 21, 27e }}
{{Optimal ET sequence|legend=1| 6, 21, 27e }}


Badness: 0.059192
Badness: 0.059192
Line 452: Line 452:
Optimal tuning (CTE): ~5/4 = 1\3, ~11/10 = 175.2524
Optimal tuning (CTE): ~5/4 = 1\3, ~11/10 = 175.2524


Optimal GPV sequence: {{Val list| 6, 21, 27e }}
{{Optimal ET sequence|legend=1| 6, 21, 27e }}


Badness: 0.042323
Badness: 0.042323
Line 469: Line 469:
[[Optimal tuning]] ([[CTE]]): ~54/49 = 1\6, ~45/28 = 853.1901 (~36/35 = 53.1901)
[[Optimal tuning]] ([[CTE]]): ~54/49 = 1\6, ~45/28 = 853.1901 (~36/35 = 53.1901)


{{Val list|legend=1| 18, 24, 42 }}
{{Optimal ET sequence|legend=1| 18, 24, 42 }}


[[Badness]]: 0.210984
[[Badness]]: 0.210984
Line 482: Line 482:
Optimal tuning (CTE): ~54/49 = 1\6, ~18/11 = 852.5968 (~36/35 = 52.5968)
Optimal tuning (CTE): ~54/49 = 1\6, ~18/11 = 852.5968 (~36/35 = 52.5968)


Optimal GPV sequence: {{Val list| 24, 42e, 66ce, 108bccee }}
{{Optimal ET sequence|legend=1| 24, 42e, 66ce, 108bccee }}


Badness: 0.080738
Badness: 0.080738
Line 501: Line 501:
[[Optimal tuning]] ([[CTE]]): ~49/45 = 1\9, ~3/2 = 702.0044
[[Optimal tuning]] ([[CTE]]): ~49/45 = 1\9, ~3/2 = 702.0044


{{Val list|legend=1| 9, 18, 27, 63c, 90cc }}
{{Optimal ET sequence|legend=1| 9, 18, 27, 63c, 90cc }}


[[Badness]]: 0.067157
[[Badness]]: 0.067157
Line 514: Line 514:
Optimal tuning (CTE): ~12/11 = 1\9, ~3/2 = 699.6216
Optimal tuning (CTE): ~12/11 = 1\9, ~3/2 = 699.6216


Optimal GPV sequence: {{Val list| 9, 18e, 27e, 63cee }}
{{Optimal ET sequence|legend=1| 9, 18e, 27e, 63cee }}


Badness: 0.034861
Badness: 0.034861
Line 527: Line 527:
Optimal tuning (CTE): ~14/13 = 1\9, ~3/2 = 700.4330
Optimal tuning (CTE): ~14/13 = 1\9, ~3/2 = 700.4330


Optimal GPV sequence: {{Val list| 9, 18e, 27e }}
{{Optimal ET sequence|legend=1| 9, 18e, 27e }}


Badness: 0.024143
Badness: 0.024143
Line 542: Line 542:
[[Optimal tuning]] ([[CTE]]): ~5/4 = 1\3, ~48/35 = 498.6367
[[Optimal tuning]] ([[CTE]]): ~5/4 = 1\3, ~48/35 = 498.6367


{{Val list|legend=1| 9bd, 12 }}
{{Optimal ET sequence|legend=1| 9bd, 12 }}


[[Badness]]: 0.138279
[[Badness]]: 0.138279
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