Catalog of rank-4 temperaments: Difference between revisions
→Trimitone (8019/8000): +obvious extension, a bit more complex |
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{{Optimal ET sequence|legend=1| 10e, 12f, 14cf, 22f, 26, 36ce, 46, 58, 72, 130, 198, 224, 270, 494, 764, 1258, 1810d, 2304d, 2574d }} | {{Optimal ET sequence|legend=1| 10e, 12f, 14cf, 22f, 26, 36ce, 46, 58, 72, 130, 198, 224, 270, 494, 764, 1258, 1810d, 2304d, 2574d }} | ||
== Unisquary (12005/11979) == | |||
[[Subgroup]]: 2.3.5.7.11 | |||
[[Comma list]]: [[12005/11979]] | |||
{{Mapping|legend=1| 1 0 0 0 0 | 0 1 0 2 2 | 0 0 1 -1 -1 | 0 0 0 3 4 }} | |||
: Mapping generators: ~2, ~3, ~5, ~11/7 | |||
[[Optimal tuning]] ([[POTE]]): ~2 = 1＼1, ~3 = 1902.0307, ~5 = 2786.2325, ~11/7 = 783.5074 | |||
{{Optimal ET sequence|legend=1|12, 46, 58, 72, 118, 121, 130, 190, 202, 239, 248, 311}} | |||
=== Hensquary === | |||
[[Subgroup]]: 2.3.5.7.11.13 | |||
[[Comma list]]: 364/363, 1716/1715 | |||
{{Mapping|legend=1| 1 0 0 0 0 -2 | 0 1 0 2 2 3 | 0 0 1 -1 -1 -1 | 0 0 0 3 4 5 }} | |||
: Mapping generators: ~2, ~3, ~5, ~11/7 | |||
[[Optimal tuning]] ([[POTE]]): ~2 = 1＼1, ~3 = 1902.4103, ~5 = 2786.9909, ~11/7 = 783.9209 | |||
{{Optimal ET sequence|legend=1|9, 12f, 26, 37, 46, 49f, 58, 63, 72, 84, 118f, 121, 130}} | |||
=== Ekasquary === | |||
[[Subgroup]]: 2.3.5.7.11.13 | |||
[[Comma list]]: 1575/1573, 4459/4455 | |||
{{Mapping|legend=1| 1 0 0 0 0 0 | 0 1 0 2 2 0 | 0 0 1 -1 -1 3 | 0 0 0 3 4 -5 }} | |||
: Mapping generators: ~2, ~3, ~5, ~11/7 | |||
[[Optimal tuning]] ([[POTE]]): ~2 = 1＼1, ~3 = 1901.9525, ~5 = 2786.1388, ~11/7 = 783.5477 | |||
{{Optimal ET sequence|legend=1|9, 12, 46f, 49f, 58, 60e, 63, 72, 118, 121, 130, 190, 193, 248, 311, 320, 383, 441}} | |||
== Semicanousmic (14641/14580) == | == Semicanousmic (14641/14580) == | ||