Subgroup temperaments: Difference between revisions
-estates general (moved to the no-3 subgroup temperaments page) |
tricesimoprimal miracloid |
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Optimal GPV sequence: {{Val list| 5, 13, 31}} | Optimal GPV sequence: {{Val list| 5, 13, 31}} | ||
== 2.5.7.11.19.29.31 subgroup == | |||
=== Tricesimoprimal miracloid === | |||
Defined as the 52 & 1789 temperament for the 2.5.7.11.19.29.31 subgroup, with harmonics specifically selected for 52edo and 1789edo. Since it is 31-limit in its conception, it makes no sense to define it for lower prime limits. In terms of microtempering, a circle of 52 generators is essentially a barely noticeable [[well temperament]] for 52edo. | |||
Subgroup: 2.5.7.11.19.29.31 | |||
Comma list: 10241/10240, 5858783/5856400, 4093705/4090624, 15109493/15089800, 102942875/102834688 | |||
Mapping: 1 419 48 177 157 624 625, 0 -461 -50 -192 -169 -685 -686 | |||
Optimal tuning (CTE): ~58/31 = 1084.628 | |||
Vals: 52, 1737, 1789, ... | |||
== Fractional subgroup temperaments == | == Fractional subgroup temperaments == | ||