View source for Cthon5m

'''Cthon5m''' (in [[aberrismic theory|aberrismic]] systematic naming) is the [[diregular scale|diregular]] 5L5m4s scale pattern '''LmLsmLsmLmsLms''', so named because it is generated by a generator of the [[semiquartal]] MOS and the m step is the offset in its generator-offset structure.

Cthon5m is comprised of two interleaved [[nicetone]]/Zarlino scales of opposite chirality. In the JI preimage below these are 5-limit Zarlino scales.

== Temperaments ==
=== 2.3.5.13 Island (2.3.5.13[34&53&58]) ===
Cthon5m has the following 2.3.5.13 interpretation in the [[34edo]] (4:2:1), [[53edo]] (6:3:2), and [[58edo]] (7:3:2) tunings:

 13/12
 9/8
 39/32
 5/4
 13/10
 45/32
 13/9
 3/2
 13/8
 27/16
 26/15
 15/8
 39/20
 2/1

(Hence Cthon5m admits the Island (2.3.5.13[ [[676/675]] ] temperament) interpretation.)

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 cthon4s has 10 3/2's.
* 3/2 chains in Kleismic[15] only have at most 3 notes whereas cthon4s interpreted in Kleismic has 3/2 chains with 3 and 4 notes.

== External links ==
* [https://sw3.lumipakkanen.com/scale/C7mHFdyHd 34edo (4:2:1) tuning]
* [https://sw3.lumipakkanen.com/scale/C7mZtkgOf 53edo (6:3:2) tuning]
* [https://sw3.lumipakkanen.com/scale/C7mTDZFH9 87edo (10:5:3) tuning]

[[Category:Aberrismic theory]]
[[Category:Rank-3 scales]]