Meantone family: Difference between revisions

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Vincenzo: Delete stuff above 19-limit
Line 876: Line 876:


Badness: 0.022302
Badness: 0.022302
====== 23-limit ======
Subgroup: 2.3.5.7.11.13.17.19.23
Comma list: 39/38, 45/44, 52/51, 56/55, 65/64, 69/68, 81/80
Mapping: {{mapping| 1 0 -4 -13 -6 10 12 9 14 | 0 1 4 10 6 -4 -5 -3 -6 }}
Optimal tunings:
* CTE: ~2 = 1200.000, ~3/2 = 696.059
* POTE: ~2 = 1200.000, ~3/2 = 696.044
{{Optimal ET sequence|legend=0| 12, 19 }}
Badness: 0.020139
====== 29-limit ======
Subgroup: 2.3.5.7.11.13.17.19.23.29
Comma list: 39/38, 45/44, 52/51, 56/55, 58/57, 65/64, 69/68, 81/80
Mapping: {{mapping| 1 0 -4 -13 -6 10 12 9 14 8 | 0 1 4 10 6 -4 -5 -3 -6 -2 }}
Optimal tunings:
* CTE: ~2 = 1200.000, ~3/2 = 695.982
* POTE: ~2 = 1200.000, ~3/2 = 695.913
{{Optimal ET sequence|legend=0| 12, 19 }}
Badness: 0.018168
====== 31-limit ======
Subgroup: 2.3.5.7.11.13.17.19.23.29.31
Comma list: 39/38, 45/44, 52/51, 56/55, 58/57, 65/64, 69/68, 81/80, 93/92
Mapping: {{mapping| 1 0 -4 -13 -6 10 12 9 14 8 16 | 0 1 4 10 6 -4 -5 -3 -6 -2 -7 }}
Optimal tunings:
* CTE: ~2 = 1200.000, ~3/2 = 695.798
* POTE: ~2 = 1200.000, ~3/2 = 695.750
{{Optimal ET sequence|legend=0| 12, 19 }}
Badness: 0.017069
====== 37-limit ======
Subgroup: 2.3.5.7.11.13.17.19.23.29.31.37
Comma list: 39/38, 45/44, 52/51, 56/55, 58/57, 65/64, 69/68, 75/74, 81/80, 93/92
Mapping: {{mapping| 1 0 -4 -13 -6 10 12 9 14 8 16 -9 | 0 1 4 10 6 -4 -5 -3 -6 -2 -7 9 }}
Optimal tunings:
* CTE: ~2 = 1200.000, ~3/2 = 695.675
* POTE: ~2 = 1200.000, ~3/2 = 695.603
{{Optimal ET sequence|legend=0| 12, 19 }}
Badness: 0.016129
====== 41-limit ======
Subgroup: 2.3.5.7.11.13.17.19.23.29.31.37.41
Comma list: 39/38, 45/44, 52/51, 56/55, 58/57, 65/64, 69/68, 75/74, 81/80, 93/92, 124/123
Mapping: {{mapping| 1 0 -4 -13 -6 10 12 9 14 8 16 -9 18 | 0 1 4 10 6 -4 -5 -3 -6 -2 -7 9 -8 }}
Optimal tunings:
* CTE: ~2 = 1200.000, ~3/2 = 695.724
* POTE: ~2 = 1200.000, ~3/2 = 695.696
{{Optimal ET sequence|legend=0| 12, 19 }}
Badness: 0.015356
====== 43-limit ======
Subgroup: 2.3.5.7.11.13.17.19.23.29.31.37.41.43
Comma list: 39/38, 45/44, 52/51, 56/55, 58/57, 65/64, 69/68, 75/74, 81/80, 86/85, 93/92, 124/123
Mapping: {{mapping| 1 0 -4 -13 -6 10 12 9 14 8 16 -9 18 7 | 0 1 4 10 6 -4 -5 -3 -6 -2 -7 9 -8 -1 }}
Optimal tunings:
* CTE: ~2 = 1200.000, ~3/2 = 695.716
* POTE: ~2 = 1200.000, ~3/2 = 695.688
{{Optimal ET sequence|legend=0| 12, 19 }}
Badness: 0.013906
====== 47-limit ======
Subgroup: 2.3.5.7.11.13.17.19.23.29.31.37.41.43.47
Comma list: 39/38, 45/44, 52/51, 56/55, 58/57, 65/64, 69/68, 75/74, 81/80, 86/85, 93/92, 95/94, 124/123
Mapping: {{mapping| 1 0 -4 -13 -6 10 12 9 14 8 16 -9 18 7 4 | 0 1 4 10 6 -4 -5 -3 -6 -2 -7 9 -8 -1 1 }}
Optimal tunings:
* CTE: ~2 = 1200.000, ~3/2 = 695.685
* POTE: ~2 = 1200.000, ~3/2 = 695.676
{{Optimal ET sequence|legend=0| 12, 19 }}
Badness: 0.013818


===== Vincenzoid =====
===== Vincenzoid =====