Subgroup temperaments: Difference between revisions
→Fractional subgroup temperaments: Changed subheadings to be less chaotic |
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= Integer subgroup temperaments = | = Integer subgroup temperaments = | ||
== 2.3.23 | == 2.3.23 subgroup == | ||
=== Lipsett === | === Lipsett === | ||
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{{Optimal ET sequence|legend=1| 6, 23def, 29f, 35, 41, 47 }} | {{Optimal ET sequence|legend=1| 6, 23def, 29f, 35, 41, 47 }} | ||
== 2.9.7.11 subgroup == | == 2.9.7.11 subgroup == | ||
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[[Badness]]: 0.00263 | [[Badness]]: 0.00263 | ||
== 2.9.11 subgroup == | |||
=== Demon === | |||
Demon is a temperament which equates 3 [[11/9]] with [[16/9]], or equivalently 3 [[18/11]] with [[9/8]], tempering out [[1331/1296]]. This results in [[11/9]] being tuned flat to a supraminor third, and [[27/22]] being tuned sharp to a submajor third. It was discovered by [[User:CompactStar|CompactStar]] while searching for temperaments assosciated with the [[7L 4s]] ("daemotonic") MOS, known for its lack of representation of simple temperaments. The optimal tuning for demon temperament is near the basic tuning of 7L 4s (13\18), and indeed [[18edo]] supports demon temperament. | |||
[[Subgroup]]: 2.9.11 | |||
[[Comma list]]: [[1331/1296]] | |||
{{Mapping|legend=2|1 1 2|0 3 2}} | |||
[[Optimal tuning]] ([[CTE]]): ~[[18/11]] = 870.060 | |||
{{Optimal ET sequence|legend=1|4, 7, 11, 18, 29, 76e}} | |||
== 2.9.15.7 subgroup == | == 2.9.15.7 subgroup == | ||