Ragismic microtemperaments: Difference between revisions
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== Seniority == | == Seniority == | ||
{{see also|Very high accuracy temperaments#Senior}} | {{see also|Very high accuracy temperaments #Senior}} | ||
Aside from the ragisma, the seniority temperament (26&145) tempers out the wadisma, 201768035/201326592. It is so named because the senior comma ({{monzo|-17 62 -35}}, quadla-sepquingu) is tempered out. | |||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||
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[[Badness]]: 0.044877 | [[Badness]]: 0.044877 | ||
=== Senator === | |||
The senator temperament (26&145) is an 11-limit extension of the seniority, which tempers out 441/440 and 65536/65219. It can be extended to the 13- and 17-limit immediately, by adding 364/363 and 595/594 to the comma list in this order. | |||
Subgroup: 2.3.5.7.11 | |||
Comma list: 441/440, 4375/4374, 65536/65219 | |||
Mapping: [{{val|1 11 19 2 4}}, {{val|0 -35 -62 3 -2}}] | |||
POTE generator: ~77/64 = 322.793 | |||
Vals: {{Val list| 26, 119c, 145, 171, 316e, 487ee }} | |||
Badness: 0.092238 | |||
==== 13-limit ==== | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 364/363, 441/440, 2200/2197, 4375/4374 | |||
Mapping: [{{val|1 11 19 2 4 15}}, {{val|0 -35 -62 3 -2 -42}}] | |||
POTE generator: ~77/64 = 322.793 | |||
Vals: {{Val list| 26, 119c, 145, 171, 316ef, 487eef }} | |||
Badness: 0.044662 | |||
==== 17-limit ==== | |||
Subgroup: 2.3.5.7.11.13.17 | |||
Comma list: 364/363, 441/440, 595/594, 1156/1155, 2200/2197 | |||
Mapping: [{{val|1 11 19 2 4 15 17}}, {{val|0 -35 -62 3 -2 -42 -48}}] | |||
POTE generator: ~77/64 = 322.793 | |||
Vals: {{Val list| 26, 119c, 145, 171, 316ef, 487eef }} | |||
Badness: 0.026562 | |||
== Orga == | == Orga == | ||