User:Francium/Miscellaneous rank-3 temperaments: Difference between revisions
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Badness: 0.986 | Badness: 0.986 | ||
== 31 & 311 & 431 == | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 4096/4095, 2401/2400, 190512/190333 | |||
Mapping: <br> | |||
{| class="right-all" | |||
| [⟨ || 1 || 1 || 5 || 4 || 4 || 1 || ], | |||
|- | |||
| ⟨ || 0 || 2 || 5 || 3 || 7 || -12 || ], | |||
|- | |||
| ⟨ || 0 || 0 || 8 || 4 || 5 || -12 || ], | |||
|} | |||
CTE generators: ~2 = 1199.9603, ~49/40 = 350.9859, ~63/44 = 621.0427 | |||
{{Optimal ET sequence|legend=1|31, 58f, 89, 120, 191, 222f, 280, 311, 400, 711, 742, 1053, 1453}} | |||
Badness: 2.258 | |||
=== 17-limit === | |||
Subgroup: 2.3.5.7.11.13.17 | |||
Comma list: 4096/4095, 2401/2400, 14400/14399, 11016/11011 | |||
Mapping: <br> | |||
{| class="right-all" | |||
| [⟨ || 1 || 1 || 5 || 4 || 4 || 1 || 6 || ], | |||
|- | |||
| ⟨ || 0 || 2 || 5 || 3 || 7 || -12 || -3 || ], | |||
|- | |||
| ⟨ || 0 || 0 || 8 || 4 || 5 || -12 || 2 || ], | |||
|} | |||
CTE generators: ~2 = 1199.9677, ~49/40 = 350.9737, ~63/44 = 621.0347 | |||
{{Optimal ET sequence|legend=1|31, 58f, 89, 120g, 191g, 222f, 280, 311, 400, 711, 742, 1453, 2195ef}} | |||
Badness: 1.410 | |||
=== 19-limit == | |||
Subgroup: 2.3.5.7.11.13.17.19 | |||
Comma list: 2926/2925, 4096/4095, 3136/3135, 5985/5984, 11016/11011 | |||
Mapping: <br> | |||
{| class="right-all" | |||
| [⟨ || 1 || 1 || 5 || 4 || 4 || 1 || 6 || 4 || ], | |||
|- | |||
| ⟨ || 0 || 2 || 5 || 3 || 7 || -12 || -3 || -8 || ], | |||
|- | |||
| ⟨ || 0 || 0 || 8 || 4 || 5 || -12 || 2 || -5 || ], | |||
|} | |||
CTE generators: ~2 = 1199.9748, ~49/40 = 350.9675, ~63/44 = 621.0343 | |||
{{Optimal ET sequence|legend=1|31, 58f, 89, 120g, 191g, 222f, 280, 311, 400, 653f, 711, 742, 1453, 1795f, 2195ef}} | |||
Badness: 1.069 | |||