User:Dummy index/3rd-tritave temperaments: Difference between revisions
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=== Sirius III (b39 & b6, b39 & b45) === | === Sirius III (b39 & b6, b39 & b45) === | ||
Subgroup: 3.5.7.13 | [[Subgroup]]: 3.5.7.13 | ||
Comma list: 3125/3087, 2197/2187 | [[Comma list]]: 3125/3087, 2197/2187 | ||
Sval mapping: {{mapping| 3 3 3 7 | 0 3 5 0 }} | [[Sval]] [[mapping]]: {{mapping| 3 0 -2 7 | 0 3 5 0 }} | ||
Sval mapping ([[mingen]]): {{mapping| 3 3 3 7 | 0 3 5 0 }} | |||
Sval mapping generators: ~13/9, ~325/189 | |||
[[Optimal tuning]] ([[CWE]]): ~13/9 = 1\3edt, ~325/189 = 927.630 | |||
[[Support]]ing [[ET]]s: 39, 6, 45, 84, 33, 123, 162, 51[+7], 72[-7], 27[-5, -7], 129[+7], 201, 207, 111[-5, -7] | |||
Badness (Dirichlet): 0.832 | |||
==== 3.5.7.11.13 (also deneb III) ==== | ==== 3.5.7.11.13 (also deneb III) ==== | ||
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Subgroup: 3.5.7.11.13 | Subgroup: 3.5.7.11.13 | ||
Comma list: | Comma list: 275/273, 1625/1617, 11011/10935 | ||
Sval mapping: {{mapping| 3 0 -2 8 7 | 0 3 5 -1 0 }} | |||
Sval mapping: {{mapping| 3 3 3 7 7 | 0 3 5 -1 0 }} | Sval mapping (mingen): {{mapping| 3 3 3 7 7 | 0 3 5 -1 0 }} | ||
Sval mapping generators: ~13/9, ~77/45 | |||
Optimal tuning (CWE): ~13/9 = 1\3edt, ~77/45 = 927.277 | |||
Supporting ETs: 39, 6, 45, 84, 33, 123, 72[-7], 162[-11], 27[-5, -7], 111[-5, -7], 201[-11], 240[-5, -11], 150[-5, -7], 279[-5, -11] | |||
Badness (Dirichlet): 0.551 | |||
=== Canopus III (b39 & b36, b39 & b75) === | === Canopus III (b39 & b36, b39 & b75) === | ||
Subgroup: 3.5.7.13 | [[Subgroup]]: 3.5.7.13 | ||
Comma list: 16875/16807, 2197/2187 | [[Comma list]]: 16875/16807, 2197/2187 | ||
Sval mapping: {{mapping| 3 4 5 7 | 0 5 4 0 }} | [[Sval]] [[mapping]]: {{mapping| 3 4 5 7 | 0 5 4 0 }} | ||
Sval mapping generators: ~13/9, ~65/63 | |||
[[Optimal tuning]] ([[CWE]]): ~13/9 = 1\3edt, ~65/63 = 49.865 | |||
[[Support]]ing [[ET]]s: 39, 114, 75, 153, 36, 192, 42[-5], 267, 189, 231, 33[+5, +7], 111, 81[-5], 345 | |||
Badness (Dirichlet): 0.564 | |||
==== 3.5.7.11.13 Suhail ==== | ==== 3.5.7.11.13 Suhail ==== | ||
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=== b9 & b6 === | === b9 & b6 === | ||
Subgroup: 3.5.7.13 | [[Subgroup]]: 3.5.7.13 | ||
[[Comma list]]: 65/63, 675/637 | |||
[[Sval]] [[mapping]]: {{mapping| 3 3 4 7 | 0 1 1 0 }} | |||
Sval mapping ([[mingen]]): {{mapping| 3 4 5 7 | 0 1 1 0 }} | |||
Sval mapping generators: ~7/5, ~5/3 | |||
[[Optimal tuning]] ([[CWE]]): ~7/5 = 1\3edt, ~5/3 = 864.428 | |||
[[Support]]ing [[ET]]s: 9, 6, 15, 12[-5], 24, 21[+7], 33[+7] | |||
Badness (Dirichlet): 0.508 | |||
== "Threedie family" start from 3.7.11.13 == | == "Threedie family" start from 3.7.11.13 == | ||