Cthon5m: Difference between revisions

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Here L = ~13/12, m = ~26/25~27/26, and s = 40/39.
Here L = ~13/12, m = ~26/25~27/26, and s = ~40/39.


(Hence Cthon5m admits an Island (2.3.5.13[ [[676/675]] ] temperament) interpretation. Kleismic tempering corresponds to letting L = 2m.)
(Hence Cthon5m admits an Island (2.3.5.13[ [[676/675]] ] temperament) interpretation.)


As a 2.3.5.13 subgroup scale, cthon5m is comparable to the MOS Kleismic[15] in size, but it's "fifthier" than Kleismic[15] and has one fewer note:
As a 2.3.5.13 subgroup scale, cthon5m is comparable to the MOS Kleismic[15] in size, but it's "fifthier" than Kleismic[15] and has one fewer note:
* Kleismic[15] has 9 3/2's whereas cthon5m has 10 3/2's.
* Kleismic[15] has 9 3/2's whereas cthon5m has 10 3/2's.
* 3/2 chains in Kleismic[15] only have at most 3 notes whereas cthon5m interpreted in Kleismic has 3/2 chains with 3 and 4 notes.
* 3/2 chains in Kleismic[15] only have at most 3 notes whereas cthon5m interpreted in Kleismic has 3/2 chains with 3 and 4 notes.
==== Kleismic ====
Kleismic (properly [[Cata]]) tempering corresponds to using Island tempering and then letting L = 2m. This makes Kleismic-tempered cthon5m a subset of a permutation (mmmmmsmmmsmmmmsmmms) of the Kleismic[19] MOS.


== External links ==
== External links ==