4L 9s

↖ 3L 8s	↑ 4L 8s	5L 8s ↗
← 3L 9s	4L 9s	5L 9s →
↙ 3L 10s	↓ 4L 10s	5L 10s ↘

┌╥┬┬╥┬┬╥┬┬╥┬┬┬┐ │║││║││║││║││││ │││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LssLssLssLsss sssLssLssLssL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	3\13 to 1\4 (276.9 ¢ to 300.0 ¢)
Dark	3\4 to 10\13 (900.0 ¢ to 923.1 ¢)
TAMNAMS information
Related to	4L 5s (gramitonic)
With tunings	2:1 to 1:0 (hard-of-basic)
Related MOS scales
Parent	4L 5s
Sister	9L 4s
Daughters	13L 4s, 4L 13s
Neutralized	8L 5s
2-Flought	17L 9s, 4L 22s
Equal tunings
Equalized (L:s = 1:1)	3\13 (276.9 ¢)
Supersoft (L:s = 4:3)	10\43 (279.1 ¢)
Soft (L:s = 3:2)	7\30 (280.0 ¢)
Semisoft (L:s = 5:3)	11\47 (280.9 ¢)
Basic (L:s = 2:1)	4\17 (282.4 ¢)
Semihard (L:s = 5:2)	9\38 (284.2 ¢)
Hard (L:s = 3:1)	5\21 (285.7 ¢)
Superhard (L:s = 4:1)	6\25 (288.0 ¢)
Collapsed (L:s = 1:0)	1\4 (300.0 ¢)

4L 9s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 4 large steps and 9 small steps, repeating every octave. 4L 9s is a child scale of 4L 5s, expanding it by 4 tones. Generators that produce this scale range from 276.9 ¢ to 300 ¢, or from 900 ¢ to 923.1 ¢. 4L 9s represents chromatic scales of Huxley, Lovecraft, gariberttet and subklei temperaments. The harmonic entropy minimum for this pattern maps +2, +3, and +5 bright generators to 7/5, 5/3 and 7/3, respectively.

Modes

Modes of 4L 9s

UDP	Cyclic order	Step pattern
12|0	1	LssLssLssLsss
11|1	4	LssLssLsssLss
10|2	7	LssLsssLssLss
9|3	10	LsssLssLssLss
8|4	13	sLssLssLssLss
7|5	3	sLssLssLsssLs
6|6	6	sLssLsssLssLs
5|7	9	sLsssLssLssLs
4|8	12	ssLssLssLssLs
3|9	2	ssLssLssLsssL
2|10	5	ssLssLsssLssL
1|11	8	ssLsssLssLssL
0|12	11	sssLssLssLssL