2L 9s (3/1-equivalent)

↖ 1L 8s⟨3/1⟩	↑ 2L 8s⟨3/1⟩	3L 8s⟨3/1⟩ ↗
← 1L 9s⟨3/1⟩	2L 9s (3/1-equivalent)	3L 9s⟨3/1⟩ →
↙ 1L 10s⟨3/1⟩	↓ 2L 10s⟨3/1⟩	3L 10s⟨3/1⟩ ↘

┌╥┬┬┬┬╥┬┬┬┬┬┐ │║││││║││││││ │││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LssssLsssss sssssLssssL
Equave	3/1 (1902.0 ¢)
Period	3/1 (1902.0 ¢)
Generator size(edt)
Bright	5\11 to 1\2 (864.5 ¢ to 951.0 ¢)
Dark	1\2 to 6\11 (951.0 ¢ to 1037.4 ¢)
Related MOS scales
Parent	2L 7s⟨3/1⟩
Sister	9L 2s⟨3/1⟩
Daughters	11L 2s⟨3/1⟩, 2L 11s⟨3/1⟩
Neutralized	4L 7s⟨3/1⟩
2-Flought	13L 9s⟨3/1⟩, 2L 20s⟨3/1⟩
Equal tunings(edt)
Equalized (L:s = 1:1)	5\11 (864.5 ¢)
Supersoft (L:s = 4:3)	16\35 (869.5 ¢)
Soft (L:s = 3:2)	11\24 (871.7 ¢)
Semisoft (L:s = 5:3)	17\37 (873.9 ¢)
Basic (L:s = 2:1)	6\13 (877.8 ¢)
Semihard (L:s = 5:2)	13\28 (883.1 ¢)
Hard (L:s = 3:1)	7\15 (887.6 ¢)
Superhard (L:s = 4:1)	8\17 (895.0 ¢)
Collapsed (L:s = 1:0)	1\2 (951.0 ¢)

2L 9s⟨3/1⟩ is a 3/1-equivalent (tritave-equivalent) moment of symmetry scale containing 2 large steps and 9 small steps, repeating every interval of 3/1 (1902.0 ¢). Generators that produce this scale range from 864.5 ¢ to 951 ¢, or from 951 ¢ to 1037.4 ¢.

The generators of this scale in the hard-of-basic region approximate 5/3. It is a scale of the Arcturus temperament.

Modes

Modes of 2L 9s⟨3/1⟩

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

Intervals

Intervals of 2L 9s⟨3/1⟩

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 172.9 ¢
	Major 1-mosstep	M1ms	L	172.9 ¢ to 951.0 ¢
2-mosstep	Minor 2-mosstep	m2ms	2s	0.0 ¢ to 345.8 ¢
	Major 2-mosstep	M2ms	L + s	345.8 ¢ to 951.0 ¢
3-mosstep	Minor 3-mosstep	m3ms	3s	0.0 ¢ to 518.7 ¢
	Major 3-mosstep	M3ms	L + 2s	518.7 ¢ to 951.0 ¢
4-mosstep	Minor 4-mosstep	m4ms	4s	0.0 ¢ to 691.6 ¢
	Major 4-mosstep	M4ms	L + 3s	691.6 ¢ to 951.0 ¢
5-mosstep	Diminished 5-mosstep	d5ms	5s	0.0 ¢ to 864.5 ¢
	Perfect 5-mosstep	P5ms	L + 4s	864.5 ¢ to 951.0 ¢
6-mosstep	Perfect 6-mosstep	P6ms	L + 5s	951.0 ¢ to 1037.4 ¢
	Augmented 6-mosstep	A6ms	2L + 4s	1037.4 ¢ to 1902.0 ¢
7-mosstep	Minor 7-mosstep	m7ms	L + 6s	951.0 ¢ to 1210.3 ¢
	Major 7-mosstep	M7ms	2L + 5s	1210.3 ¢ to 1902.0 ¢
8-mosstep	Minor 8-mosstep	m8ms	L + 7s	951.0 ¢ to 1383.2 ¢
	Major 8-mosstep	M8ms	2L + 6s	1383.2 ¢ to 1902.0 ¢
9-mosstep	Minor 9-mosstep	m9ms	L + 8s	951.0 ¢ to 1556.1 ¢
	Major 9-mosstep	M9ms	2L + 7s	1556.1 ¢ to 1902.0 ¢
10-mosstep	Minor 10-mosstep	m10ms	L + 9s	951.0 ¢ to 1729.1 ¢
	Major 10-mosstep	M10ms	2L + 8s	1729.1 ¢ to 1902.0 ¢
11-mosstep	Perfect 11-mosstep	P11ms	2L + 9s	1902.0 ¢