24ed5: Difference between revisions

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	==24ed5 as a generator==		==24ed5 as a generator==
	24ed5 ~~can also be thought~~ of ~~as a~~ [[~~generator~~]] ~~of the 2.3.5.7.11.23 [[Subgroup temperaments\|subgroup~~ temperament~~]] which tempers out 225/224~~, ~~243/242, 385/384, and 529/528, which is~~ a [[~~cluster temperament~~]] ~~with 10 clusters~~ of ~~notes in an octave~~. ~~The small chroma interval between adjacent notes in each cluster is very versatile~~, ~~representing 45~~/~~44 ~ 46/45 ~ 49/48 ~ 50/49 ~ 55/54 ~ 56/55 ~ 64/63 all tempered together. This temperament is supported by [[31edo]]~~, ~~[[82edo]], [[113edo]], and [[144edo]]~~.		One step of 24ed5 is just flat of 3\31, an acceptable generator for [[miracle]] temperament, so it can be used as a [[retraction]] of miracle. However, miracle maps 5/1 to 23 secors and 3 dieses, not 24 secors.