Cthon5m: Difference between revisions
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→Cata (2.3.5.13[34&53]): only 676/675 is required |
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== Temperaments == | == Temperaments == | ||
=== | === 2.3.5.13[676/675] (2.3.5.13[34&53&58]) === | ||
Cthon5m has the following 2.3.5.13 interpretation in the [[34edo]] (4:2:1) | 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 | 13/12 | ||
| Line 22: | Line 22: | ||
2/1 | 2/1 | ||
(Cthon5m | (This is why Cthon5m admits the above temperament interpretation.) | ||
Cthon5m is comparable to the MOS Kleismic[15] in size, but it's "fifthier" than Kleismic[15] and has one fewer note: | Cthon5m is comparable to the MOS Kleismic[15] in size, but it's "fifthier" than Kleismic[15] and has one fewer note: | ||
Revision as of 03:08, 6 December 2024
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[676/675] (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
(This is why Cthon5m admits the above 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.