24ed5: Difference between revisions

MisterShafXen (talk | contribs)
mNo edit summary
Tags: Visual edit Mobile edit Mobile web edit Advanced mobile edit
Squib (talk | contribs)
Line 153: Line 153:


==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.