Cthon5m

Cthon5m (in aberrismic systematic naming) is the 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 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:

• 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.

External links

• 34edo (4:2:1) tuning
• 53edo (6:3:2) tuning
• 58edo (7:3:2) tuning
• 87edo (10:5:3) tuning