Ditonmic family: Difference between revisions
De-canonicalize septimal ditonic. Note where the true ditone is |
Sorting: move the bad extension below coditone |
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[[Badness]]: 0.167086 | [[Badness]]: 0.167086 | ||
== Coditone == | == Coditone == | ||
| Line 125: | Line 82: | ||
Badness: 0.043989 | Badness: 0.043989 | ||
== Diton == | |||
This extension is known as ''ditonic'' in [[Graham Breed]]'s temperament finder. | |||
[[Subgroup]]: 2.3.5.7 | |||
[[Comma list]]: 126/125, 8751645/8388608 | |||
{{Mapping|legend=1| 1 6 3 -4 | 0 -13 -2 20 }} | |||
{{Multival|legend=1| 13 2 -20 -27 -68 -52 }} | |||
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~2625/2048 = 407.954 | |||
{{Optimal ET sequence|legend=1| 3, 47, 50 }} | |||
[[Badness]]: 0.242101 | |||
=== 11-limit === | |||
Subgroup: 2.3.5.7.11 | |||
Comma list: 126/125, 245/242, 2079/2048 | |||
Mapping: {{mapping| 1 6 3 -4 -3 | 0 -13 -2 20 19 }} | |||
Optimal tuning (POTE): ~2 = 1\1, ~14/11 = 407.892 | |||
Optimal ET sequence: {{optimal ET sequence| 3, 47, 50, 53d }} | |||
Badness: 0.100884 | |||
=== 13-limit === | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 105/104, 126/125, 245/242, 1287/1280 | |||
Mapping: {{mapping| 1 6 3 -4 -3 2 | 0 -13 -2 20 19 5 }} | |||
Optimal tuning (POTE): ~2 = 1\1, ~14/11 = 407.887 | |||
Optimal ET sequence: {{optimal ET sequence| 3, 47, 50, 53d }} | |||
Badness: 0.054997 | |||
== Notes == | == Notes == | ||