Meantone family: Difference between revisions
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| Line 770: | Line 770: | ||
Badness: 0.025535 | Badness: 0.025535 | ||
===== 19-limit ===== | ====== 19-limit ====== | ||
Subgroup: 2.3.5.7.11.13.17.19 | Subgroup: 2.3.5.7.11.13.17.19 | ||
| Line 783: | Line 783: | ||
Badness: 0.022302 | Badness: 0.022302 | ||
===== 23-limit ===== | ====== 23-limit ====== | ||
Subgroup: 2.3.5.7.11.13.17.19.23 | Subgroup: 2.3.5.7.11.13.17.19.23 | ||
| Line 796: | Line 796: | ||
Badness: 0.020139 | Badness: 0.020139 | ||
===== 29-limit ===== | ====== 29-limit ====== | ||
Subgroup: 2.3.5.7.11.13.17.19.23.29 | Subgroup: 2.3.5.7.11.13.17.19.23.29 | ||
| Line 809: | Line 809: | ||
Badness: 0.018168 | Badness: 0.018168 | ||
===== 31-limit ===== | ====== 31-limit ====== | ||
Subgroup: 2.3.5.7.11.13.17.19.23.29.31 | Subgroup: 2.3.5.7.11.13.17.19.23.29.31 | ||
| Line 822: | Line 822: | ||
Badness: 0.017069 | Badness: 0.017069 | ||
===== 37-limit ===== | ====== 37-limit ====== | ||
Subgroup: 2.3.5.7.11.13.17.19.23.29.31.37 | Subgroup: 2.3.5.7.11.13.17.19.23.29.31.37 | ||
| Line 835: | Line 835: | ||
Badness: 0.016129 | Badness: 0.016129 | ||
===== 41-limit ===== | ====== 41-limit ====== | ||
Subgroup: 2.3.5.7.11.13.17.19.23.29.31.37.41 | Subgroup: 2.3.5.7.11.13.17.19.23.29.31.37.41 | ||
| Line 848: | Line 848: | ||
Badness: 0.015356 | Badness: 0.015356 | ||
===== 43-limit ===== | ====== 43-limit ====== | ||
Subgroup: 2.3.5.7.11.13.17.19.23.29.31.37.41.43 | Subgroup: 2.3.5.7.11.13.17.19.23.29.31.37.41.43 | ||
| Line 861: | Line 861: | ||
Badness: 0.013906 | Badness: 0.013906 | ||
===== 47-limit ===== | ====== 47-limit ====== | ||
Subgroup: 2.3.5.7.11.13.17.19.23.29.31.37.41.43.47 | Subgroup: 2.3.5.7.11.13.17.19.23.29.31.37.41.43.47 | ||
| Line 873: | Line 873: | ||
Badness: 0.013818 | Badness: 0.013818 | ||
===== Vincenzoid ===== | |||
Subgroup: 2.3.5.7.11.13.17 | |||
Comma list: 34/33, 45/44, 51/50, 56/55, 65/64 | |||
Mapping: [{{val|1 0 -4 -13 -6 10 -7}}, {{val|0 1 4 10 6 -4 7}}] | |||
POTE generator: ~3/2 = 695.358 | |||
Optimal GPV sequence: {{Val list| 7dg, 12, 19g }} | |||
Badness: 0.022099 | |||
====== 19-limit ====== | |||
Subgroup: 2.3.5.7.11.13.17.19 | |||
Comma list: 34/33, 45/44, 51/50, 56/55, 57/55, 65/64 | |||
Mapping: [{{val|1 0 -4 -13 -6 10 -7 -10}}, {{val|0 1 4 10 6 -4 7 9}}] | |||
POTE generator: ~3/2 = 695.725 | |||
Optimal GPV sequence: {{Val list| 7dgh, 12, 19gh, 50eeffgghh }} | |||
Badness: 0.019904 | |||
==== Meanundec ==== | ==== Meanundec ==== | ||
| Line 886: | Line 912: | ||
Badness: 0.024243 | Badness: 0.024243 | ||
===== 17-limit ===== | |||
Subgroup: 2.3.5.7.11.13.17 | |||
Comma list: 27/26, 34/33, 40/39, 45/44, 56/55 | |||
Mapping: [{{val| 1 0 -4 -13 -6 -1 -7 }}, {{val| 0 1 4 10 6 3 7 }}] | |||
POTE generator: ~3/2 = 697.586 | |||
Optimal GPV sequence: {{Val list| 7dg, 12f, 19fg, 31effg }} | |||
Badness: 0.021400 | |||
===== 19-limit ===== | |||
Subgroup: 2.3.5.7.11.13.17.19 | |||
Comma list: 27/26, 34/33, 40/39, 45/44, 56/55, 57/55 | |||
Mapping: [{{val| 1 0 -4 -13 -6 -1 -7 -10 }}, {{val| 0 1 4 10 6 3 7 9 }}] | |||
POTE generator: ~3/2 = 698.118 | |||
Optimal GPV sequence: {{Val list| 7dgh, 12f, 19fgh, 31effgh }} | |||
Badness: 0.018996 | |||
=== Meanundeci === | === Meanundeci === | ||