User:Francium/Miscellaneous rank-3 temperaments: Difference between revisions
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Badness: 1.069 | Badness: 1.069 | ||
== 31 & 431 & 1889 == | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 655473/655360, 820125/819896, 3764768/3764475 | |||
Mapping: {| class="right-all" | |||
| [⟨ || 1 || 0 || 18 || 7 || 11|| 0 || ], | |||
|- | |||
| ⟨ || 0 || 1 || 6 || 2 || 6 || -5 || ], | |||
|- | |||
| ⟨ || 0 || 0 || 65 || 19 || 44 || -30 || ], | |||
|} | |||
CTE generators: ~2 = 1200.008, ~3/2 = 701.925, ~78975/60368 = 465.007 | |||
{{Optimal ET sequence|legend=1|31, 369, 400, 831, 1058c, 1089c, 1427f, 1458, 1489, 1889, 3809, 4209, 6129, 8018}} | |||
Badness: 5.755 | |||
=== 17-limit === | |||
Subgroup: 2.3.5.7.11.13.17 | |||
Comma list: 14400/14399, 61965/61952, 31213/31212, 3764768/3764475 | |||
Mapping: {| class="right-all" | |||
| [⟨ || 1 || 0 || 18 || 7 || 11|| 0 || 13 || ], | |||
|- | |||
| ⟨ || 0 || 1 || 6 || 2 || 6 || -5 || 0 || ], | |||
|- | |||
| ⟨ || 0 || 0 || 65 || 19 || 44 || -30 || 23 || ], | |||
|} | |||
CTE generators: ~2 = 1200.008, ~3/2 = 701.925, ~78975/60368 = 465.007 | |||
{{Optimal ET sequence|legend=1|31, 369, 400, 831, 1058cg, 1089c, 1458g, 1489, 1889, 2320, 3809, 4209, 6129, 8018}} | |||
Badness: 2.373 | |||
=== 19-limit === | |||
Subgroup: 2.3.5.7.11.13.17.19 | |||
Comma list: 5985/5984, 14400/14399, 13377/13376, 61965/61952, 3764768/3764475 | |||
Mapping: {| class="right-all" | |||
| [⟨ || 1 || 0 || 18 || 7 || 11|| 0 || 13 || 4 || ], | |||
|- | |||
| ⟨ || 0 || 1 || 6 || 2 || 6 || -5 || 0 || -4 || ], | |||
|- | |||
| ⟨ || 0 || 0 || 65 || 19 || 44 || -30 || 23 || -17 || ], | |||
|} | |||
CTE generators: ~2 = 1200.011, ~3/2 = 701.921, ~22880/17493 = 465.008 | |||
{{Optimal ET sequence|legend=1|31, 369, 400, 831, 1058cg, 1089c, 1458g, 1489, 1889, 2320, 3809, 6129h, 9938h}} | |||
Badness: 1.706 | |||
== 37 & 109 & 577 == | == 37 & 109 & 577 == | ||