22L 1s: Difference between revisions
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==Relation to equal divisions== | ==Relation to equal divisions== | ||
From 1\22 to 4\91, 13 steps amount to a diatonic fifth. Between 4\91 and 1\23, 13 steps amount to a pelog / mavila fifth. | === 13edf === | ||
From 1\22 to 4\91, 13 steps amount to a diatonic fifth. Between 4\91 and 1\23, 13 steps amount to a pelog / mavila fifth. In 91edo, the fifth produced by 13 steps is the same as 4 steps of 7 edo, and thus is the boundary between mavila and diatonic. | |||
Further breaking down the categories, when the step ratio is greater than 4.472, then 13 generators amount to a superpyth fifth and the tuning approaches [[22edo]]. | Further breaking down the categories, when the step ratio is greater than 4.472, then 13 generators amount to a superpyth fifth and the tuning approaches [[22edo]]. | ||
6 steps act as a pseudo-6/5, and when they actually act as 6/5 along with 5 steps being equal to 7/6, [[385/384]] is tempered out. If one were to instead tune in favour of 6/5 instead of 7/6, the resulting hardness would be | In 156edo, the fifth becomes the [[12edo]] 700-cent fifth. | ||
=== 6ed6/5 === | |||
6 steps act as a pseudo-6/5, and when they actually act as 6/5 along with 5 steps being equal to 7/6, [[385/384]] is tempered out. If one were to instead tune in favour of 6/5 instead of 7/6, the resulting hardness would be around 1.233. 91edo and 205edo represent this the best. | |||
== Scale tree == | == Scale tree == | ||