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 ¢)

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.

Intervals

Intervals of 2L 9s

Intervals			Steps subtended	Range in cents
Generic	Specific	Abbrev.
0-mosstep	Perfect 0-mosstep	P0ms	0	0.0 ¢
1-mosstep	Minor 1-mosstep	m1ms	s	0.0 ¢ to 109.1 ¢
	Major 1-mosstep	M1ms	L	109.1 ¢ to 600.0 ¢
2-mosstep	Minor 2-mosstep	m2ms	2s	0.0 ¢ to 218.2 ¢
	Major 2-mosstep	M2ms	L + s	218.2 ¢ to 600.0 ¢
3-mosstep	Minor 3-mosstep	m3ms	3s	0.0 ¢ to 327.3 ¢
	Major 3-mosstep	M3ms	L + 2s	327.3 ¢ to 600.0 ¢
4-mosstep	Minor 4-mosstep	m4ms	4s	0.0 ¢ to 436.4 ¢
	Major 4-mosstep	M4ms	L + 3s	436.4 ¢ to 600.0 ¢
5-mosstep	Diminished 5-mosstep	d5ms	5s	0.0 ¢ to 545.5 ¢
	Perfect 5-mosstep	P5ms	L + 4s	545.5 ¢ to 600.0 ¢
6-mosstep	Perfect 6-mosstep	P6ms	L + 5s	600.0 ¢ to 654.5 ¢
	Augmented 6-mosstep	A6ms	2L + 4s	654.5 ¢ to 1200.0 ¢
7-mosstep	Minor 7-mosstep	m7ms	L + 6s	600.0 ¢ to 763.6 ¢
	Major 7-mosstep	M7ms	2L + 5s	763.6 ¢ to 1200.0 ¢
8-mosstep	Minor 8-mosstep	m8ms	L + 7s	600.0 ¢ to 872.7 ¢
	Major 8-mosstep	M8ms	2L + 6s	872.7 ¢ to 1200.0 ¢
9-mosstep	Minor 9-mosstep	m9ms	L + 8s	600.0 ¢ to 981.8 ¢
	Major 9-mosstep	M9ms	2L + 7s	981.8 ¢ to 1200.0 ¢
10-mosstep	Minor 10-mosstep	m10ms	L + 9s	600.0 ¢ to 1090.9 ¢
	Major 10-mosstep	M10ms	2L + 8s	1090.9 ¢ to 1200.0 ¢
11-mosstep	Perfect 11-mosstep	P11ms	2L + 9s	1200.0 ¢

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