Quartonic family: Difference between revisions
→Biquartonic: add pretty obvious 19-limit extension |
→Quartiquart: add pretty obvious 17- and 19-limit extensions |
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{{Multival|legend=1| 44 72 100 12 35 30 }} | {{Multival|legend=1| 44 72 100 12 35 30 }} | ||
[[Optimal tuning]] ([[CTE]]): ~25/21 = | [[Optimal tuning]] ([[CTE]]): ~25/21 = 1\4, ~250/243 = 45.2411 | ||
{{Optimal ET sequence|legend=1| 80, 132d, 212, 292, 504 }} | {{Optimal ET sequence|legend=1| 80, 132d, 212, 292, 504 }} | ||
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Mapping: {{mapping| 4 8 12 15 17 | 0 -11 -18 -25 -21 }} | Mapping: {{mapping| 4 8 12 15 17 | 0 -11 -18 -25 -21 }} | ||
Optimal tuning (CTE): ~25/21 = | Optimal tuning (CTE): ~25/21 = 1\4, ~77/75 = 45.2303 | ||
Optimal ET sequence: {{Optimal ET sequence| 80, 132de, 212, 292, 504e }} | Optimal ET sequence: {{Optimal ET sequence| 80, 132de, 212, 292, 504e }} | ||
Line 422: | Line 422: | ||
Mapping: {{mapping| 4 8 12 15 17 16 | 0 -11 -18 -25 -21 -8 }} | Mapping: {{mapping| 4 8 12 15 17 16 | 0 -11 -18 -25 -21 -8 }} | ||
Optimal tuning (CTE): ~25/21 = | Optimal tuning (CTE): ~25/21 = 1\4, ~40/39 = 45.2243 | ||
Optimal ET sequence: {{Optimal ET sequence| 80, 212, 292f, 504eff }} | Optimal ET sequence: {{Optimal ET sequence| 80, 212, 292f, 504eff }} | ||
Badness: 0.045028 | Badness: 0.045028 | ||
=== 17-limit === | |||
Subgroup: 2.3.5.7.11.13.17 | |||
Comma list: 325/324, 1001/1000, 1375/1372, 10648/10647, 289/288 | |||
Mapping: {{mapping| 4 8 12 15 17 16 18 | 0 -11 -18 -25 -21 -8 -11 }} | |||
Optimal tuning (CTE): ~25/21 = 1\4, ~40/39 = 45.218 | |||
Optimal ET sequence: {{Optimal ET sequence| 52cdeg, 80, 132deg, 212g }} | |||
Badness: 0.033899 | |||
=== 19-limit === | |||
Subgroup: 2.3.5.7.11.13.17.19 | |||
Comma list: 325/324, 1001/1000, 1375/1372, 10648/10647, 1521/1520 | |||
Mapping: {{mapping| 4 8 12 15 17 16 18 20 | 0 -11 -18 -25 -21 -8 -11 20 }} | |||
Optimal tuning (CTE): ~25/21 = 1\4, ~39/38 = 45.210 | |||
Optimal ET sequence: {{Optimal ET sequence| 52cdegh, 80, 132degh, 212gh }} | |||
Badness: 0.031462 | |||
== Quintiquart == | == Quintiquart == |