Quartonic family: Difference between revisions
→Quartiquart: add pretty obvious 17- and 19-limit extensions |
Correct badnesses (my bad for fking up my own code). Improve comma bases. |
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Optimal tuning (CTE): ~17/12 = 1\2, ~34/33 = 45.2397 | Optimal tuning (CTE): ~17/12 = 1\2, ~34/33 = 45.2397 | ||
Optimal ET sequence: {{Optimal ET sequence| 26, 54c, 80, 106 | Optimal ET sequence: {{Optimal ET sequence| 26, 54c, 80, 106 }} | ||
Badness: 0.028112 | Badness: 0.028112 | ||
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Optimal ET sequence: {{Optimal ET sequence| 26, 54ch, 80, 106 }} | Optimal ET sequence: {{Optimal ET sequence| 26, 54ch, 80, 106 }} | ||
Badness: 0. | Badness: 0.0213 | ||
=== Yarm === | === Yarm === | ||
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Optimal tuning (CTE): ~25/21 = 1\4, ~40/39 = 45.2243 | Optimal tuning (CTE): ~25/21 = 1\4, ~40/39 = 45.2243 | ||
Optimal ET sequence: {{Optimal ET sequence| 80, 212 | Optimal ET sequence: {{Optimal ET sequence| 80, 132de, 212 }} | ||
Badness: 0.045028 | Badness: 0.045028 | ||
Line 431: | Line 431: | ||
Subgroup: 2.3.5.7.11.13.17 | Subgroup: 2.3.5.7.11.13.17 | ||
Comma list: 325/324, 1001/1000 | Comma list: 289/288, 325/324, 561/560, 1001/1000, 10648/10647 | ||
Mapping: {{mapping| 4 8 12 15 17 16 18 | 0 -11 -18 -25 -21 -8 -11 }} | Mapping: {{mapping| 4 8 12 15 17 16 18 | 0 -11 -18 -25 -21 -8 -11 }} | ||
Line 439: | Line 439: | ||
Optimal ET sequence: {{Optimal ET sequence| 52cdeg, 80, 132deg, 212g }} | Optimal ET sequence: {{Optimal ET sequence| 52cdeg, 80, 132deg, 212g }} | ||
Badness: 0. | Badness: 0.0312 | ||
=== 19-limit === | === 19-limit === | ||
Subgroup: 2.3.5.7.11.13.17.19 | Subgroup: 2.3.5.7.11.13.17.19 | ||
Comma list: 325/324, | Comma list: 289/288, 325/324, 361/360, 561/560, 1001/1000, 1331/1330 | ||
Mapping: {{mapping| 4 8 12 15 17 16 18 20 | 0 -11 -18 -25 -21 -8 -11 20 }} | Mapping: {{mapping| 4 8 12 15 17 16 18 20 | 0 -11 -18 -25 -21 -8 -11 20 }} | ||
Line 452: | Line 452: | ||
Optimal ET sequence: {{Optimal ET sequence| 52cdegh, 80, 132degh, 212gh }} | Optimal ET sequence: {{Optimal ET sequence| 52cdegh, 80, 132degh, 212gh }} | ||
Badness: 0. | Badness: 0.0224 | ||
== Quintiquart == | == Quintiquart == |