9L 2s (3/1-equivalent)

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

┌╥╥╥╥╥┬╥╥╥╥┬┐ │║║║║║│║║║║││ │││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LLLLLsLLLLs sLLLLsLLLLL
Equave	3/1 (1902.0 ¢)
Period	3/1 (1902.0 ¢)
Generator size(edt)
Bright	6\11 to 5\9 (1037.4 ¢ to 1056.6 ¢)
Dark	4\9 to 5\11 (845.3 ¢ to 864.5 ¢)
Related MOS scales
Parent	2L 7s⟨3/1⟩
Sister	2L 9s⟨3/1⟩
Daughters	11L 9s⟨3/1⟩, 9L 11s⟨3/1⟩
Neutralized	7L 4s⟨3/1⟩
2-Flought	20L 2s⟨3/1⟩, 9L 13s⟨3/1⟩
Equal tunings(edt)
Equalized (L:s = 1:1)	6\11 (1037.4 ¢)
Supersoft (L:s = 4:3)	23\42 (1041.5 ¢)
Soft (L:s = 3:2)	17\31 (1043.0 ¢)
Semisoft (L:s = 5:3)	28\51 (1044.2 ¢)
Basic (L:s = 2:1)	11\20 (1046.1 ¢)
Semihard (L:s = 5:2)	27\49 (1048.0 ¢)
Hard (L:s = 3:1)	16\29 (1049.4 ¢)
Superhard (L:s = 4:1)	21\38 (1051.1 ¢)
Collapsed (L:s = 1:0)	5\9 (1056.6 ¢)

9L 2s⟨3/1⟩, also called sub-Arcturus, is a 3/1-equivalent (tritave-equivalent) moment of symmetry scale containing 9 large steps and 2 small steps, repeating every interval of 3/1 (1902.0 ¢). Generators that produce this scale range from 1037.4 ¢ to 1056.6 ¢, or from 845.3 ¢ to 864.5 ¢.

This MOS family is the simplest tritave-equivalent scale using an "ordinary" ~5:3 as a generator. Of course, it is on the extremely flat end of what is "ordinary", being the same size as a neutral sixth.

Coincidentally, its categorical name in this scale happens to be "sixth" also, just not in the "ordinary" diatonic sense of the name. Because this "sixth" is so flat, "sixths" in the range of propriety lead, in three steps, when tritave reduced, into the Mavila continuum and the bottom of the syntonic continuum.

Modes

Modes of 9L 2s⟨3/1⟩

UDP	Cyclic order	Step pattern
10|0	1	LLLLLsLLLLs
9|1	7	LLLLsLLLLLs
8|2	2	LLLLsLLLLsL
7|3	8	LLLsLLLLLsL
6|4	3	LLLsLLLLsLL
5|5	9	LLsLLLLLsLL
4|6	4	LLsLLLLsLLL
3|7	10	LsLLLLLsLLL
2|8	5	LsLLLLsLLLL
1|9	11	sLLLLLsLLLL
0|10	6	sLLLLsLLLLL

Intervals

Intervals of 9L 2s⟨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 211.3 ¢
2-mosstep	Minor 2-mosstep	m2ms	L + s	211.3 ¢ to 345.8 ¢
	Major 2-mosstep	M2ms	2L	345.8 ¢ to 422.7 ¢
3-mosstep	Minor 3-mosstep	m3ms	2L + s	422.7 ¢ to 518.7 ¢
	Major 3-mosstep	M3ms	3L	518.7 ¢ to 634.0 ¢
4-mosstep	Minor 4-mosstep	m4ms	3L + s	634.0 ¢ to 691.6 ¢
	Major 4-mosstep	M4ms	4L	691.6 ¢ to 845.3 ¢
5-mosstep	Perfect 5-mosstep	P5ms	4L + s	845.3 ¢ to 864.5 ¢
	Augmented 5-mosstep	A5ms	5L	864.5 ¢ to 1056.6 ¢
6-mosstep	Diminished 6-mosstep	d6ms	4L + 2s	845.3 ¢ to 1037.4 ¢
	Perfect 6-mosstep	P6ms	5L + s	1037.4 ¢ to 1056.6 ¢
7-mosstep	Minor 7-mosstep	m7ms	5L + 2s	1056.6 ¢ to 1210.3 ¢
	Major 7-mosstep	M7ms	6L + s	1210.3 ¢ to 1268.0 ¢
8-mosstep	Minor 8-mosstep	m8ms	6L + 2s	1268.0 ¢ to 1383.2 ¢
	Major 8-mosstep	M8ms	7L + s	1383.2 ¢ to 1479.3 ¢
9-mosstep	Minor 9-mosstep	m9ms	7L + 2s	1479.3 ¢ to 1556.1 ¢
	Major 9-mosstep	M9ms	8L + s	1556.1 ¢ to 1690.6 ¢
10-mosstep	Minor 10-mosstep	m10ms	8L + 2s	1690.6 ¢ to 1729.1 ¢
	Major 10-mosstep	M10ms	9L + s	1729.1 ¢ to 1902.0 ¢
11-mosstep	Perfect 11-mosstep	P11ms	9L + 2s	1902.0 ¢