User:FloraC/Temperament name proposal: Difference between revisions
m Wil -> will |
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** Unlit (152f & 316) | ** Unlit (152f & 316) | ||
** Twilight (152f & 176) | ** Twilight (152f & 176) | ||
== Orthocanousmic == | |||
[[Subgroup]]: 2.3.5.7.11.13 | |||
[[Comma list]]: 2080/2079, 4621925/4605822 | |||
[[Mapping]]: [{{val| 1 0 0 -1 0 -6 }}, {{val| 0 1 2 2 0 3 }}, {{val| 0 0 -4 3 0 7 }}, {{val| 0 0 0 0 1 1 }}] | |||
[[Optimal tuning]] ([[CTE]]): ~3/2 = 702.3120, ~81/70 = 254.6177, ~11/8 = 551.2945 | |||
{{Val list|legend=1| 94, 113, 193e, 193f, 198, 311, 509, 721, 938, 1249 }} | |||
[[Badness]]: 265 × 10<sup>-6</sup> | |||
=== 17-limit === | |||
Subgroup: 2.3.5.7.11.13.17 | |||
Comma list: 1225/1224, 2080/2079, 256564/255879 | |||
Mapping: [{{val| 1 0 0 -1 0 -6 -5 }}, {{val| 0 1 2 2 0 3 6 }}, {{val| 0 0 -4 3 0 7 -2 }}, {{val| 0 0 0 0 1 1 0 }}] | |||
Optimal tuning (CTE): ~3/2 = 702.3391, ~81/70 = 254.6143, ~11/8 = 551.2678 | |||
Optimal GPV sequence: {{Val list| 94, 118f, 193e, 193f, 198g, 212g, 217, 311, 509, 721, 938, 1447b, 1659b }} | |||
Badness: 41.6 × 10<sup>-6</sup> | |||
=== 19-limit === | |||
Subgroup: 2.3.5.7.11.13.17.19 | |||
Comma list: 1216/1215, 1225/1224, 1445/1444, 2080/2079 | |||
Mapping: [{{val| 1 0 0 -1 0 -6 -5 -6 }}, {{val| 0 1 2 2 0 3 6 7 }}, {{val| 0 0 -4 3 0 7 -2 -4 }}, {{val| 0 0 0 0 1 1 0 0 }}] | |||
Optimal tuning (CTE): ~3/2 = 702.3182, ~81/70 = 254.6205, ~11/8 = 551.2767 | |||
Optimal GPV sequence: {{Val list| 94, 118f, 193e, 193f, 198gh, 212gh, 217, 311, 627h, 721, 938, 1032, 1249 }} | |||
Badness: 47.2 × 10<sup>-6</sup> | |||
== Paracanousmic == | |||
[[Subgroup]]: 2.3.5.7.11.13 | |||
[[Comma list]]: 2080/2079, 831875/830466 | |||
[[Mapping]]: [{{val| 1 0 2 7 0 0 }}, {{val| 0 1 0 -3 0 0 }}, {{val| 0 0 4 7 0 3 }}, {{val| 0 0 0 0 1 1 }}] | |||
[[Optimal tuning]] ([[CTE]]): ~3/2 = 702.1596, ~55/52 = 96.5027, ~11/8 = 551.1788 | |||
{{Val list|legend=1| 87, 111, 186, 198, 224, 311, 422, 634, 733f, 858, 945, 1169, 1367, 1591f }} | |||
[[Badness]]: 9.66 × 10<sup>-6</sup> | |||
=== 17-limit === | |||
Subgroup: 2.3.5.7.11.13.17 | |||
Comma list: 2080/2079, 2500/2499, 41140/41067 | |||
Mapping: [{{val| 1 0 2 7 0 0 -4 }}, {{val| 0 1 0 -3 0 0 5 }}, {{val| 0 0 4 7 0 3 2 }}, {{val| 0 0 0 0 1 1 0 }}] | |||
Optimal tuning (CTE): ~3/2 = 702.3034, ~55/52 = 96.5472, ~11/8 = 551.1166 | |||
Optimal GPV sequence: {{Val list| 87, 99ef, 111, 198g, 212g, 299, 311, 422, 721, 733f, 931fg, 1143, 1565bf }} | |||
Badness: 32.2 × 10<sup>-6</sup> | |||
=== 19-limit === | |||
Subgroup: 2.3.5.7.11.13.17.19 | |||
Comma list: 1216/1215, 1445/1444, 2080/2079, 2500/2499 | |||
Mapping: [{{val| 1 0 2 7 0 0 -4 -4 }}, {{val| 0 1 0 -3 0 0 5 5 }}, {{val| 0 0 4 7 0 3 2 4 }}, {{val| 0 0 0 0 1 1 0 0 }}] | |||
Optimal tuning (CTE): ~3/2 = 702.2902, ~55/52 = 96.5420, ~11/8 = 551.1238 | |||
Optimal GPV sequence: {{Val list| 87, 99ef, 111, 198gh, 210efgh, 212g, 299, 311, 422, 733f, 1056, 1143h, 1454fh }} | |||
Badness: 37.2 × 10<sup>-6</sup> | |||
== 87 & 94 & 111 == | == 87 & 94 & 111 == |