9L 5s

Todo: confirm Verify temperaments that correspond with 9L 5s

↖ 8L 4s	↑ 9L 4s	10L 4s ↗
← 8L 5s	9L 5s	10L 5s →
↙ 8L 6s	↓ 9L 6s	10L 6s ↘

┌╥╥┬╥╥┬╥╥┬╥╥┬╥┬┐ │║║│║║│║║│║║│║││ ││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LLsLLsLLsLLsLs sLsLLsLLsLLsLL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	3\14 to 2\9 (257.1 ¢ to 266.7 ¢)
Dark	7\9 to 11\14 (933.3 ¢ to 942.9 ¢)
TAMNAMS information
Related to	5L 4s (semiquartal)
With tunings	1:1 to 2:1 (soft-of-basic)
Related MOS scales
Parent	5L 4s
Sister	5L 9s
Daughters	14L 9s, 9L 14s
Neutralized	4L 10s
2-Flought	23L 5s, 9L 19s
Equal tunings
Equalized (L:s = 1:1)	3\14 (257.1 ¢)
Supersoft (L:s = 4:3)	11\51 (258.8 ¢)
Soft (L:s = 3:2)	8\37 (259.5 ¢)
Semisoft (L:s = 5:3)	13\60 (260.0 ¢)
Basic (L:s = 2:1)	5\23 (260.9 ¢)
Semihard (L:s = 5:2)	12\55 (261.8 ¢)
Hard (L:s = 3:1)	7\32 (262.5 ¢)
Superhard (L:s = 4:1)	9\41 (263.4 ¢)
Collapsed (L:s = 1:0)	2\9 (266.7 ¢)

9L 5s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 9 large steps and 5 small steps, repeating every octave. 9L 5s is a child scale of 5L 4s, expanding it by 5 tones. Generators that produce this scale range from 257.1 ¢ to 266.7 ¢, or from 933.3 ¢ to 942.9 ¢. The generator can be said to approximate 7/6, but just 7/6 is larger than 2\9edo, so it cannot be used as a generator. The simplest just interval that works as a generator is 36/31. Two generators are said to create a fourth like Godzilla, but in reality it is closer to 27/20, if that is considered a consonance. 9L5s is third smallest MOS of Semiphore.

Modes

Modes of 9L 5s

UDP	Cyclic order	Step pattern
13|0	1	LLsLLsLLsLLsLs
12|1	4	LLsLLsLLsLsLLs
11|2	7	LLsLLsLsLLsLLs
10|3	10	LLsLsLLsLLsLLs
9|4	13	LsLLsLLsLLsLLs
8|5	2	LsLLsLLsLLsLsL
7|6	5	LsLLsLLsLsLLsL
6|7	8	LsLLsLsLLsLLsL
5|8	11	LsLsLLsLLsLLsL
4|9	14	sLLsLLsLLsLLsL
3|10	3	sLLsLLsLLsLsLL
2|11	6	sLLsLLsLsLLsLL
1|12	9	sLLsLsLLsLLsLL
0|13	12	sLsLLsLLsLLsLL