9L 13s

↖ 8L 12s	↑ 9L 12s	10L 12s ↗
← 8L 13s	9L 13s	10L 13s →
↙ 8L 14s	↓ 9L 14s	10L 14s ↘

┌╥┬╥┬╥┬┬╥┬╥┬┬╥┬╥┬┬╥┬╥┬┬┐ │║│║│║││║│║││║│║││║│║│││ ││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LsLsLssLsLssLsLssLsLss ssLsLssLsLssLsLssLsLsL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	17\22 to 7\9 (927.3 ¢ to 933.3 ¢)
Dark	2\9 to 5\22 (266.7 ¢ to 272.7 ¢)
TAMNAMS information
Related to	4L 5s (gramitonic)
With tunings	1:1 to 3:2 (soft)
Related MOS scales
Parent	9L 4s
Sister	13L 9s
Daughters	22L 9s, 9L 22s
Neutralized	18L 4s
2-Flought	31L 13s, 9L 35s
Equal tunings
Equalized (L:s = 1:1)	17\22 (927.3 ¢)
Supersoft (L:s = 4:3)	58\75 (928.0 ¢)
Soft (L:s = 3:2)	41\53 (928.3 ¢)
Semisoft (L:s = 5:3)	65\84 (928.6 ¢)
Basic (L:s = 2:1)	24\31 (929.0 ¢)
Semihard (L:s = 5:2)	55\71 (929.6 ¢)
Hard (L:s = 3:1)	31\40 (930.0 ¢)
Superhard (L:s = 4:1)	38\49 (930.6 ¢)
Collapsed (L:s = 1:0)	7\9 (933.3 ¢)

9L 13s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 9 large steps and 13 small steps, repeating every octave. 9L 13s is a grandchild scale of 4L 5s, expanding it by 13 tones. Generators that produce this scale range from 927.3 ¢ to 933.3 ¢, or from 266.7 ¢ to 272.7 ¢.

Scale tree

5/22					272,727
				22/97	272.165
			17/75		272
				29/128	271.875
		12/53			271.698
					271.58
				31/137	271.533
					271.504
			19/84		271.429
					271.331
				26/115	271.304
	7/31				270.968
				23/102	270.588
			16/71		270.4225
					270.313
				25/111	270.27
					270.226
		9/40			270
					269.897
				20/89	269.669
			11/49		269.388
				13/58	268.9655
2/9					266.667