2L 9s

↖ 1L 8s	↑ 2L 8s	3L 8s ↗
← 1L 9s	2L 9s	3L 9s →
↙ 1L 10s	↓ 2L 10s	3L 10s ↘

Scale structure
Step pattern	LssssLsssss sssssLssssL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	5\11 to 1\2 (545.5 ¢ to 600.0 ¢)
Dark	1\2 to 6\11 (600.0 ¢ to 654.5 ¢)
TAMNAMS information
Related to	2L 7s (balzano)
With tunings	2:1 to 1:0 (hard-of-basic)
Related MOS scales
Parent	2L 7s
Sister	9L 2s
Daughters	11L 2s, 2L 11s
Neutralized	4L 7s
2-Flought	13L 9s, 2L 20s
Equal tunings
Equalized (L:s = 1:1)	5\11 (545.5 ¢)
Supersoft (L:s = 4:3)	16\35 (548.6 ¢)
Soft (L:s = 3:2)	11\24 (550.0 ¢)
Semisoft (L:s = 5:3)	17\37 (551.4 ¢)
Basic (L:s = 2:1)	6\13 (553.8 ¢)
Semihard (L:s = 5:2)	13\28 (557.1 ¢)
Hard (L:s = 3:1)	7\15 (560.0 ¢)
Superhard (L:s = 4:1)	8\17 (564.7 ¢)
Collapsed (L:s = 1:0)	1\2 (600.0 ¢)
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2L 9s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 2 large steps and 9 small steps, repeating every octave. 2L 9s is a child scale of 2L 7s, expanding it by 2 tones. Generators that produce this scale range from 545.5 ¢ to 600 ¢, or from 600 ¢ to 654.5 ¢. This MOS reaches a harmonic entropy minimum when the generator is 7/5. It represents temperaments like Tritonic, Triton, Heinz and Liese.

Modes

Modes of 2L 9s

UDP	Cyclic order	Step pattern
10|0	1	LssssLsssss
9|1	6	LsssssLssss
8|2	11	sLssssLssss
7|3	5	sLsssssLsss
6|4	10	ssLssssLsss
5|5	4	ssLsssssLss
4|6	9	sssLssssLss
3|7	3	sssLsssssLs
2|8	8	ssssLssssLs
1|9	2	ssssLsssssL
0|10	7	sssssLssssL

Tree

5/11					545.4545
				21/46	547.826
			16/35		548.571
				27/59	549.1525
		11/24			550
					550.583 (L/s = pi/2)
				28/61	550.82
					550.965 (L/s = phi)
			17/37		551.351
					551.862 (L/s = sqrt(3))
				23/50	552
	6/13				553.846
				19/41	556.976
			13/28		557.143
					557.8535 (L/s = phi+1)
				20/43	558.1395
					558.439 (L/s = e)
		7/15			560
					560.741 (L/s = pi)
				15/32	562.5
			8/17		564.706
				9/19	568.421
1/2					600