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

Equal tunings

Equalized (L:s = 1:1)

5\11 (545.5 ¢)

Supersoft (L:s = 4:3)

16\35 (548.6 ¢)

11\24 (550.0 ¢)

17\37 (551.4 ¢)

6\13 (553.8 ¢)

13\28 (557.1 ¢)

7\15 (560.0 ¢)

Superhard (L:s = 4:1)

8\17 (564.7 ¢)

Collapsed (L:s = 1:0)

1\2 (600.0 ¢)

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