No-fives subgroup temperaments: Difference between revisions
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== Superflat == | == Superflat == | ||
Superflat temperament, or alternatively, tridecimal temperament makes [[1053/1024]] vanish, so [[13/8]] is a minor sixth, and [[16/13]] is a major triad. The more accurate tunings for this temperament are generated by a fifth at least as flat as those of [[flattone]], although often even flatter (such as [[40edo]]'s fifth). | |||
[[Subgroup]]: 2.3.13 | |||
[[Comma list]]: [[1053/1024]] | |||
{{Mapping|legend=2|1 1 6|0 1 -4}} | |||
Preimage: 2, [[3/2]] | |||
[[CTE tuning|CTE generator]]: ~[[3/2]] = 692.939 | |||
[[Support]]ing [[ET]]s: {{EDOs|7, 19, 12, 5f, 26, 9f, 31f, 33, 17f, 45f, 16f, 40, 50f, 43f}} | |||
== Ultraflat == | |||
Ultraflat is the much more inaccurate cousin of superflat, with even flatter fifths. [[27/26]] is tempered out rather than [[1053/1024]], so [[13/8]] is a major sixth. | |||
[[Subgroup]]: 2.3.13 | [[Subgroup]]: 2.3.13 | ||
[[Comma list]]: [[27/26]] | [[Comma list]]: [[27/26]] | ||
{{Mapping|legend=2|1 1 2|0 1 3}} | |||
[[CTE tuning|CTE generator]]: ~[[3/2]] = 688.391 | [[CTE tuning|CTE generator]]: ~[[3/2]] = 688.391 | ||
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{{Optimal ET sequence|legend=1| 7, 22, 29, 94, 123, 152j, 275jj, 427jjj }} | {{Optimal ET sequence|legend=1| 7, 22, 29, 94, 123, 152j, 275jj, 427jjj }} | ||
[[Category:Temperament collections]] | [[Category:Temperament collections]] | ||
[[Category:Subgroup temperaments]] | [[Category:Subgroup temperaments]] | ||
[[Category:Rank 2]] | [[Category:Rank 2]] | ||