Subgroup temperaments: Difference between revisions
→Marveltwintri: fix the optimal tunings; note cata |
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{{See also| Chromatic pairs #Marveltwintri }} | {{See also| Chromatic pairs #Marveltwintri }} | ||
Marveltwintri can be described as the {{nowrap| 3 & 4 }} temperament in the 2.5/3.13/9 subgroup. The tonic and the first two generator steps make a [[marveltwin triad]], hence the name. | Marveltwintri can be described as the {{nowrap| 3 & 4 }} temperament in the 2.5/3.13/9 subgroup. The tonic and the first two generator steps make a [[marveltwin triad]], hence the name. [[Cata]] is a very natural extension of this temperament to the [[2.3.5.13 subgroup|2.3.5.13-subgroup]]. | ||
[[Subgroup]]: 2.5/3.13/9 | [[Subgroup]]: 2.5/3.13/9 | ||
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[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[Tp tuning|subgroup]] [[CTE]]: ~2 = 1200.000, ~5/3 = | * [[Tp tuning|subgroup]] [[CTE]]: ~2 = 1200.000, ~5/3 = 882.886 | ||
* [[Tp tuning|subgroup]] [[POTE]]: ~2 = 1200.000, ~5/3 = | * [[Tp tuning|subgroup]] [[POTE]]: ~2 = 1200.000, ~5/3 = 882.861 | ||
{{Optimal ET sequence|legend=1| 3, 4, 11, 15, 19, 34, 53, 87, 140 }} | {{Optimal ET sequence|legend=1| 3, 4, 11, 15, 19, 34, 53, 87, 140 }} | ||