No-twos subgroup temperaments: Difference between revisions
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(WIP, [[catalog of 3.5.7 subgroup rank two temperaments]] will eventually be redirected here) | ''(WIP, [[catalog of 3.5.7 subgroup rank two temperaments]] will eventually be redirected here)'' | ||
This is a collection of [[subgroup temperament]]s which omit the prime harmonic of 2. Because of the absence of octaves, these are all [[nonoctave]] scales using a period of a [[tritave]], or if harmonic 3 is also excluded, [[5/1]]. | This is a collection of [[subgroup temperament]]s which omit the prime harmonic of 2. Because of the absence of octaves, these are all [[nonoctave]] scales using a period of a [[tritave]], or if harmonic 3 is also excluded, [[5/1]]. | ||
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== Arcturus == | == Arcturus == | ||
''see [[Arcturus]]'' | ''see [[Arcturus]], [[Arcturus clan]]'' | ||
Subgroup: 3.5.7 | |||
[[Comma list]]: 15625/15309 | |||
[[Sval]] [[mapping]]: [{{val| 1 0 -7 }}, {{val| 0 1 6 }}] | |||
Sval mapping generators: ~3, ~5 | |||
[[POTE generator]]: ~5/3 = 878.042 | |||
[[Optimal ET sequence]]: [[2edt|b2]], [[11edt|b11]], [[13edt|b13]] | |||
== Aldebaran == | == Aldebaran == | ||
''see [[Aldebaran]]'' | ''see [[Aldebaran]]'' | ||
[[Subgroup]]: 3.5.13 | |||
[[Comma list]]: 3159/3125 | |||
[[Mapping]]: [{{val|1 0 5}}, {{val|0 1 -2}}] | |||
[[Support]]ing [[ET]]s: 15, 17, 13, 32, 47, 28, 11[-13], 19[+13], 43, 9[-13], 7[-13], 49[+13], 21[+13], 41[-13] | |||
[[CTE tuning|CTE generator]]: ~[[5/3]] = 887.76 | |||
== No-twos-or-threes subgroup temperaments == | == No-twos-or-threes subgroup temperaments == | ||