9L 3s

↖ 8L 2s	↑ 9L 2s	10L 2s ↗
← 8L 3s	9L 3s	10L 3s →
↙ 8L 4s	↓ 9L 4s	10L 4s ↘

┌╥╥╥┬╥╥╥┬╥╥╥┬┐ │║║║│║║║│║║║││ ││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LLLsLLLsLLLs sLLLsLLLsLLL
Equave	2/1 (1200.0 ¢)
Period	1\3 (400.0 ¢)
Generator size
Bright	1\12 to 1\9 (100.0 ¢ to 133.3 ¢)
Dark	2\9 to 3\12 (266.7 ¢ to 300.0 ¢)
TAMNAMS information
Related to	3L 6s (tcherepnin)
With tunings	1:1 to 2:1 (soft-of-basic)
Related MOS scales
Parent	3L 6s
Sister	3L 9s
Daughters	12L 9s, 9L 12s
Neutralized	6L 6s
2-Flought	21L 3s, 9L 15s
Equal tunings
Equalized (L:s = 1:1)	1\12 (100.0 ¢)
Supersoft (L:s = 4:3)	4\45 (106.7 ¢)
Soft (L:s = 3:2)	3\33 (109.1 ¢)
Semisoft (L:s = 5:3)	5\54 (111.1 ¢)
Basic (L:s = 2:1)	2\21 (114.3 ¢)
Semihard (L:s = 5:2)	5\51 (117.6 ¢)
Hard (L:s = 3:1)	3\30 (120.0 ¢)
Superhard (L:s = 4:1)	4\39 (123.1 ¢)
Collapsed (L:s = 1:0)	1\9 (133.3 ¢)

This MOS is always proper because its period runs LLLs. It is generated by a diatonic semitone or "trienthird"/2/3-tone of 1/12edo (100 cents) to 1/9edo (133.33). It represents, among other chromatic scales, that of the August temperament.

1/12		100
5/57		105.263
4/45		106.667
	7/78	107.5385
	10/111	108.108
3/33		109.111
		109.992
	8/87	110.345
		110.557
	5/54	111.111
		111.815
	7/75	112
	9/96	112.5
	11/117	112.8205
	13/138	113.0435
2/21		114.286
	11/114	115.7895
	9/93	116.129
	7/72	116.667
	5/51	117.647
		118.274
	8/81	118.5185
		118.769
	11/111	118.919
	14/141	119.149
3/30		120
		120.543
	7/69	121.739
	11/108	122.222
4/39		123.138
	9/87	124.138
5/48		125
1/9		133.333