Meantone family: Difference between revisions
| Line 199: | Line 199: | ||
Badness: 0.025899 | Badness: 0.025899 | ||
===== 17-limit ===== | |||
Subgroup: 2.3.5.7.11.13.17 | |||
Comma list: 81/80, 99/98, 120/119, 126/125, 144/143 | |||
Mapping: [{{val| 1 0 -4 -13 -25 29 12 }}, {{val| 0 1 4 10 18 -16 -5 }}] | |||
POTE generator: ~3/2 = 697.335 | |||
Optimal GPV sequence: {{Val list| 12, 19ef, 31, 43, 74g }} | |||
Badness: 0.020889 | |||
===== 19-limit ===== | |||
Subgroup: 2.3.5.7.11.13.17.19 | |||
Comma list: 81/80, 96/95, 99/98, 120/119, 126/125, 144/143 | |||
Mapping: [{{val| 1 0 -4 -13 -25 29 12 9 }}, {{val| 0 1 4 10 18 -16 -5 -3 }}] | |||
POTE generator: ~3/2 = 697.380 | |||
Optimal GPV sequence: {{Val list| 12, 31, 43, 74gh }} | |||
Badness: 0.017611 | |||
==== Meridetone ==== | ==== Meridetone ==== | ||
| Line 228: | Line 254: | ||
POTE generator: ~15/13 = 251.535 | POTE generator: ~15/13 = 251.535 | ||
Optimal GPV sequence: {{Val list| 19e, 43, 62, 167bef }} | Optimal GPV sequence: {{Val list| 19e, 43, 62, 167bef, 229beeff }} | ||
Badness: 0.031433 | Badness: 0.031433 | ||
===== 17-limit ===== | |||
Subgroup: 2.3.5.7.11.13.17 | |||
Comma list: 81/80, 99/98, 126/125, 169/168, 221/220 | |||
Mapping: [{{val| 1 0 -4 -13 -25 -5 -22 }}, {{val| 0 2 8 20 36 11 33 }}] | |||
POTE generator: ~15/13 = 251.523 | |||
Optimal GPV sequence: {{Val list| 19eg, 43, 62, 167befg, 229beeffgg }} | |||
Badness: 0.023380 | |||
===== 19-limit ===== | |||
Subgroup: 2.3.5.7.11.13.17.19 | |||
Comma list: 81/80, 99/98, 126/125, 153/152, 169/168, 221/220 | |||
Mapping: [{{val| 1 0 -4 -13 -25 -5 -22 -25 }}, {{val| 0 2 8 20 36 11 33 37 }}] | |||
POTE generator: ~15/13 = 251.527 | |||
Optimal GPV sequence: {{Val list| 19egh, 43, 62, 167befg, 229beeffggh }} | |||
Badness: 0.018952 | |||
=== Meanpop === | === Meanpop === | ||