Quartonic family: Difference between revisions

Godtone (talk | contribs)
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, 292ddefg }}
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: 0.0384524
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, 292f, 504eff }}
Optimal ET sequence: {{Optimal ET sequence| 80, 132de, 212 }}


Badness: 0.045028
Badness: 0.045028
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Subgroup: 2.3.5.7.11.13.17
Subgroup: 2.3.5.7.11.13.17


Comma list: 325/324, 1001/1000, 1375/1372, 10648/10647, 289/288
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 }}
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Optimal ET sequence: {{Optimal ET sequence| 52cdeg, 80, 132deg, 212g }}
Optimal ET sequence: {{Optimal ET sequence| 52cdeg, 80, 132deg, 212g }}


Badness: 0.033899
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, 1001/1000, 1375/1372, 10648/10647, 1521/1520
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 }}
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Optimal ET sequence: {{Optimal ET sequence| 52cdegh, 80, 132degh, 212gh }}
Optimal ET sequence: {{Optimal ET sequence| 52cdegh, 80, 132degh, 212gh }}


Badness: 0.031462
Badness: 0.0224


== Quintiquart ==
== Quintiquart ==