User:Francium/Miscellaneous rank-3 temperaments: Difference between revisions
Created page with "On this page, I explore some unnamed rank-3 temperaments that catched my interest. == 31 & 53 & 227 == Subgroup: 2.3.5.7 Comma list: 65625/65536 Mapping: <br> {| class="ri..." |
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Badness: 0.761 | Badness: 0.761 | ||
=== 11-limit === | |||
Subgroup: 2.3.5.7.11 | |||
Comma list: 385/384, 3388/3375 | |||
Mapping: <br> | |||
{| class="right-all" | |||
| [⟨ || 1 || 0 || 1 || 11 || -5 || ], | |||
|- | |||
| ⟨ || 0 || 1 || 1 || -6 || 6 || ], | |||
|- | |||
| ⟨ || 0 || 0 || 2 || -10 || 8 || ], | |||
|} | |||
CTE generators: ~2 = 1200.2769, ~3 = 1902.4434, ~175/192 = -157.9651 | |||
{{Optimal ET sequence|legend=1|9, 22, 31, 53, 84e, 87, 118, 258e, 376de, 547dee}} | |||
Badness: 0.771 | |||
=== 13-limit === | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 385/384, 352/351, 1001/1000 | |||
Mapping: <br> | |||
{| class="right-all" | |||
| [⟨ || 1 || 0 || 1 || 11 || -5 || 0 || ], | |||
|- | |||
| ⟨ || 0 || 1 || 1 || -6 || 6 || 3 || ], | |||
|- | |||
| ⟨ || 0 || 0 || 2 || -10 || 8 || 8 || ], | |||
|} | |||
CTE generators: ~2 = 1200.1146, ~3 = 1902.7798, ~175/192 = -158.3562 | |||
{{Optimal ET sequence|legend=1|9f, 22, 31, 53, 84e, 87, 118, 140, 258e}} | |||
Badness: 0.986 | |||