2L 21s

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↙ 1L 22s	↓ 2L 22s	3L 22s ↘

┌╥┬┬┬┬┬┬┬┬┬┬╥┬┬┬┬┬┬┬┬┬┬┬┐ │║││││││││││║││││││││││││ │││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LssssssssssLsssssssssss sssssssssssLssssssssssL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	11\23 to 1\2 (573.9 ¢ to 600.0 ¢)
Dark	1\2 to 12\23 (600.0 ¢ to 626.1 ¢)
TAMNAMS information
Related to	2L 7s (balzano)
With tunings	8:1 to 1:0
Related MOS scales
Parent	2L 19s
Sister	21L 2s
Daughters	23L 2s, 2L 23s
Neutralized	4L 19s
2-Flought	25L 21s, 2L 44s
Equal tunings
Equalized (L:s = 1:1)	11\23 (573.9 ¢)
Supersoft (L:s = 4:3)	34\71 (574.6 ¢)
Soft (L:s = 3:2)	23\48 (575.0 ¢)
Semisoft (L:s = 5:3)	35\73 (575.3 ¢)
Basic (L:s = 2:1)	12\25 (576.0 ¢)
Semihard (L:s = 5:2)	25\52 (576.9 ¢)
Hard (L:s = 3:1)	13\27 (577.8 ¢)
Superhard (L:s = 4:1)	14\29 (579.3 ¢)
Collapsed (L:s = 1:0)	1\2 (600.0 ¢)

2L 21s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 2 large steps and 21 small steps, repeating every octave. 2L 21s is related to 2L 7s, expanding it by 14 tones. Generators that produce this scale range from 573.9 ¢ to 600 ¢, or from 600 ¢ to 626.1 ¢.

Modes

Modes of 2L 21s

UDP	Cyclic order	Step pattern
22|0	1	LssssssssssLsssssssssss
21|1	12	LsssssssssssLssssssssss
20|2	23	sLssssssssssLssssssssss
19|3	11	sLsssssssssssLsssssssss
18|4	22	ssLssssssssssLsssssssss
17|5	10	ssLsssssssssssLssssssss
16|6	21	sssLssssssssssLssssssss
15|7	9	sssLsssssssssssLsssssss
14|8	20	ssssLssssssssssLsssssss
13|9	8	ssssLsssssssssssLssssss
12|10	19	sssssLssssssssssLssssss
11|11	7	sssssLsssssssssssLsssss
10|12	18	ssssssLssssssssssLsssss
9|13	6	ssssssLsssssssssssLssss
8|14	17	sssssssLssssssssssLssss
7|15	5	sssssssLsssssssssssLsss
6|16	16	ssssssssLssssssssssLsss
5|17	4	ssssssssLsssssssssssLss
4|18	15	sssssssssLssssssssssLss
3|19	3	sssssssssLsssssssssssLs
2|20	14	ssssssssssLssssssssssLs
1|21	2	ssssssssssLsssssssssssL
0|22	13	sssssssssssLssssssssssL

Intervals

Intervals of 2L 21s

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 52.2 ¢
	Major 1-mosstep	M1ms	L	52.2 ¢ to 600.0 ¢
2-mosstep	Minor 2-mosstep	m2ms	2s	0.0 ¢ to 104.3 ¢
	Major 2-mosstep	M2ms	L + s	104.3 ¢ to 600.0 ¢
3-mosstep	Minor 3-mosstep	m3ms	3s	0.0 ¢ to 156.5 ¢
	Major 3-mosstep	M3ms	L + 2s	156.5 ¢ to 600.0 ¢
4-mosstep	Minor 4-mosstep	m4ms	4s	0.0 ¢ to 208.7 ¢
	Major 4-mosstep	M4ms	L + 3s	208.7 ¢ to 600.0 ¢
5-mosstep	Minor 5-mosstep	m5ms	5s	0.0 ¢ to 260.9 ¢
	Major 5-mosstep	M5ms	L + 4s	260.9 ¢ to 600.0 ¢
6-mosstep	Minor 6-mosstep	m6ms	6s	0.0 ¢ to 313.0 ¢
	Major 6-mosstep	M6ms	L + 5s	313.0 ¢ to 600.0 ¢
7-mosstep	Minor 7-mosstep	m7ms	7s	0.0 ¢ to 365.2 ¢
	Major 7-mosstep	M7ms	L + 6s	365.2 ¢ to 600.0 ¢
8-mosstep	Minor 8-mosstep	m8ms	8s	0.0 ¢ to 417.4 ¢
	Major 8-mosstep	M8ms	L + 7s	417.4 ¢ to 600.0 ¢
9-mosstep	Minor 9-mosstep	m9ms	9s	0.0 ¢ to 469.6 ¢
	Major 9-mosstep	M9ms	L + 8s	469.6 ¢ to 600.0 ¢
10-mosstep	Minor 10-mosstep	m10ms	10s	0.0 ¢ to 521.7 ¢
	Major 10-mosstep	M10ms	L + 9s	521.7 ¢ to 600.0 ¢
11-mosstep	Diminished 11-mosstep	d11ms	11s	0.0 ¢ to 573.9 ¢
	Perfect 11-mosstep	P11ms	L + 10s	573.9 ¢ to 600.0 ¢
12-mosstep	Perfect 12-mosstep	P12ms	L + 11s	600.0 ¢ to 626.1 ¢
	Augmented 12-mosstep	A12ms	2L + 10s	626.1 ¢ to 1200.0 ¢
13-mosstep	Minor 13-mosstep	m13ms	L + 12s	600.0 ¢ to 678.3 ¢
	Major 13-mosstep	M13ms	2L + 11s	678.3 ¢ to 1200.0 ¢
14-mosstep	Minor 14-mosstep	m14ms	L + 13s	600.0 ¢ to 730.4 ¢
	Major 14-mosstep	M14ms	2L + 12s	730.4 ¢ to 1200.0 ¢
15-mosstep	Minor 15-mosstep	m15ms	L + 14s	600.0 ¢ to 782.6 ¢
	Major 15-mosstep	M15ms	2L + 13s	782.6 ¢ to 1200.0 ¢
16-mosstep	Minor 16-mosstep	m16ms	L + 15s	600.0 ¢ to 834.8 ¢
	Major 16-mosstep	M16ms	2L + 14s	834.8 ¢ to 1200.0 ¢
17-mosstep	Minor 17-mosstep	m17ms	L + 16s	600.0 ¢ to 887.0 ¢
	Major 17-mosstep	M17ms	2L + 15s	887.0 ¢ to 1200.0 ¢
18-mosstep	Minor 18-mosstep	m18ms	L + 17s	600.0 ¢ to 939.1 ¢
	Major 18-mosstep	M18ms	2L + 16s	939.1 ¢ to 1200.0 ¢
19-mosstep	Minor 19-mosstep	m19ms	L + 18s	600.0 ¢ to 991.3 ¢
	Major 19-mosstep	M19ms	2L + 17s	991.3 ¢ to 1200.0 ¢
20-mosstep	Minor 20-mosstep	m20ms	L + 19s	600.0 ¢ to 1043.5 ¢
	Major 20-mosstep	M20ms	2L + 18s	1043.5 ¢ to 1200.0 ¢
21-mosstep	Minor 21-mosstep	m21ms	L + 20s	600.0 ¢ to 1095.7 ¢
	Major 21-mosstep	M21ms	2L + 19s	1095.7 ¢ to 1200.0 ¢
22-mosstep	Minor 22-mosstep	m22ms	L + 21s	600.0 ¢ to 1147.8 ¢
	Major 22-mosstep	M22ms	2L + 20s	1147.8 ¢ to 1200.0 ¢
23-mosstep	Perfect 23-mosstep	P23ms	2L + 21s	1200.0 ¢

Scale tree

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