Catalog of rank-4 temperaments: Difference between revisions
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[[Optimal tuning]] ([[CTE]]): ~2 = 1＼1, ~3/2 = 702.738, ~11/9 = 344.406, ~7/4 = 968.826 | [[Optimal tuning]] ([[CTE]]): ~2 = 1＼1, ~3/2 = 702.738, ~11/9 = 344.406, ~7/4 = 968.826 | ||
{{Optimal ET sequence|legend=1| 77, 80, 87, 94 }} | {{Optimal ET sequence|legend=1| 77, 80, 87, 94, 167 }} | ||
=== Fifthchroma === | === Fifthchroma === | ||
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[[Optimal tuning]] ([[CTE]]): ~2 = 1＼1, ~3/2 = 702.776, ~11/9 = 344.410, ~7/4 = 968.826 | [[Optimal tuning]] ([[CTE]]): ~2 = 1＼1, ~3/2 = 702.776, ~11/9 = 344.410, ~7/4 = 968.826 | ||
{{Optimal ET sequence|legend=1| 77, 80, 87, 94 }} | {{Optimal ET sequence|legend=1| 77, 80, 87, 94, 167 }} | ||
==== 17-limit ==== | |||
Subgroup: 2.3.5.7.11.13.17 | |||
Comma list: 352/351, 715/714, 155771/155520 | |||
Mapping: {{mapping| 1 0 4 0 -1 4 6 | 0 1 3 0 2 -1 3 | 0 0 -5 0 1 1 -3 | 0 0 0 1 0 0 -1 }} | |||
Optimal tuning (CTE): ~2 = 1＼1, ~3/2 = 702.713, ~11/9 = 344.403, ~7/4 = 969.193 | |||
{{Optimal ET sequence|legend=0| 77, 80, 87, 94, 167 }} | |||
==== 19-limit ==== | |||
Subgroup: 2.3.5.7.11.13.17.19 | |||
Comma list: 352/351, 715/714, 1463/1458, 2057/2052 | |||
Mapping: {{mapping| 1 0 4 0 -1 4 6 2 | 0 1 3 0 2 -1 3 4 | 0 0 -5 0 1 1 -3 -1 | 0 0 0 1 0 0 -1 -1 }} | |||
Optimal tuning (CTE): ~2 = 1＼1, ~3/2 = 702.736, ~11/9 = 344.417, ~7/4 = 969.159 | |||
{{Optimal ET sequence|legend=0| 77, 80, 87, 94, 167h }} | |||
[[Category:Temperaments]] | [[Category:Temperaments]] | ||