10L 21s

10L 21s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 10 large steps and 21 small steps, repeating every octave. 10L 21s is a great-grandchild scale of 1L 9s, expanding it by 21 tones. Generators that produce this scale range from 116.1 ¢ to 120 ¢, or from 1080 ¢ to 1083.9 ¢.

↖ 9L 20s	↑ 10L 20s	11L 20s ↗
← 9L 21s	10L 21s	11L 21s →
↙ 9L 22s	↓ 10L 22s	11L 22s ↘

Scale structure
Step pattern	LssLssLssLssLssLssLssLssLssLsss sssLssLssLssLssLssLssLssLssLssL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	3\31 to 1\10 (116.1 ¢ to 120.0 ¢)
Dark	9\10 to 28\31 (1080.0 ¢ to 1083.9 ¢)
TAMNAMS information
Related to	1L 9s (antisinatonic)
With tunings	1:1 to 4:3 (ultrasoft)
Related MOS scales
Parent	10L 11s
Sister	21L 10s
Daughters	31L 10s, 10L 31s
Neutralized	20L 11s
2-Flought	41L 21s, 10L 52s
Equal tunings
Equalized (L:s = 1:1)	3\31 (116.1 ¢)
Supersoft (L:s = 4:3)	10\103 (116.5 ¢)
Soft (L:s = 3:2)	7\72 (116.7 ¢)
Semisoft (L:s = 5:3)	11\113 (116.8 ¢)
Basic (L:s = 2:1)	4\41 (117.1 ¢)
Semihard (L:s = 5:2)	9\92 (117.4 ¢)
Hard (L:s = 3:1)	5\51 (117.6 ¢)
Superhard (L:s = 4:1)	6\61 (118.0 ¢)
Collapsed (L:s = 1:0)	1\10 (120.0 ¢)
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Modes

Modes of 10L 21s

UDP	Cyclic order	Step pattern
30|0	1	LssLssLssLssLssLssLssLssLssLsss
29|1	4	LssLssLssLssLssLssLssLssLsssLss
28|2	7	LssLssLssLssLssLssLssLsssLssLss
27|3	10	LssLssLssLssLssLssLsssLssLssLss
26|4	13	LssLssLssLssLssLsssLssLssLssLss
25|5	16	LssLssLssLssLsssLssLssLssLssLss
24|6	19	LssLssLssLsssLssLssLssLssLssLss
23|7	22	LssLssLsssLssLssLssLssLssLssLss
22|8	25	LssLsssLssLssLssLssLssLssLssLss
21|9	28	LsssLssLssLssLssLssLssLssLssLss
20|10	31	sLssLssLssLssLssLssLssLssLssLss
19|11	3	sLssLssLssLssLssLssLssLssLsssLs
18|12	6	sLssLssLssLssLssLssLssLsssLssLs
17|13	9	sLssLssLssLssLssLssLsssLssLssLs
16|14	12	sLssLssLssLssLssLsssLssLssLssLs
15|15	15	sLssLssLssLssLsssLssLssLssLssLs
14|16	18	sLssLssLssLsssLssLssLssLssLssLs
13|17	21	sLssLssLsssLssLssLssLssLssLssLs
12|18	24	sLssLsssLssLssLssLssLssLssLssLs
11|19	27	sLsssLssLssLssLssLssLssLssLssLs
10|20	30	ssLssLssLssLssLssLssLssLssLssLs
9|21	2	ssLssLssLssLssLssLssLssLssLsssL
8|22	5	ssLssLssLssLssLssLssLssLsssLssL
7|23	8	ssLssLssLssLssLssLssLsssLssLssL
6|24	11	ssLssLssLssLssLssLsssLssLssLssL
5|25	14	ssLssLssLssLssLsssLssLssLssLssL
4|26	17	ssLssLssLssLsssLssLssLssLssLssL
3|27	20	ssLssLssLsssLssLssLssLssLssLssL
2|28	23	ssLssLsssLssLssLssLssLssLssLssL
1|29	26	ssLsssLssLssLssLssLssLssLssLssL
0|30	29	sssLssLssLssLssLssLssLssLssLssL

Tuning spectrum

generator									L	s	L/s	gen (cents)	comment
1\10									1	0		120.000
								11\111	9	1	9.000	118.919
							10\101		8	1	8.000	118.812
								19\192	15	2	7.500	118.750
						9\91			7	1	7.000	118.681
							17\172		13	2	6.500	118.605
					8\81				6	1	6.000	118.519
							23\233		17	3	5.667	118.455
						15\152			11	2	5.500	118.421
							22\223		16	3	5.333	118.386
				7\71					5	1	5.000	118.310
						20\203			14	3	4.667	118.227
					13\132				9	2	4.500	118.182
						19\193			13	3	4.333	118.135
			6\61						4	1	4.000	118.033
						23\234			15	4	3.750	117.949
					17\173				11	3	3.667	117.919
				11\112					7	2	3.500	117.857
					16\163				10	3	3.333	117.791
						21\214			13	4	3.250	117.757
		5\51							3	1	3.000	117.647
					19\194				11	4	2.750	117.526
				14\143					8	3	2.667	117.483
					23\235				13	5	2.600	117.447
			9\92						5	2	2.500	117.391
					22\225				12	5	2.400	117.333
				13\133					7	3	2.333	117.293
					17\174				9	4	2.250	117.241
						21\215			11	5	2.200	117.209
	4\41								2	1	2.000	117.073
						23\236			11	6	1.833	116.949
					19\195				9	5	1.800	116.923
				15\154					7	4	1.750	116.883
			11\113						5	3	1.667	116.814
				18\185					8	5	1.600	116.757
		7\72							3	2	1.500	116.667
				17\175					7	5	1.400	116.571
			10\103						4	3	1.333	116.505
					23\237				9	7	1.286	116.456
				13\134					5	4	1.250	116.418
					16\165				6	5	1.200	116.364
						19\196			7	6	1.167	116.327
							22\227		8	7	1.143	116.300
								25\258	9	8	1.125	116.279
3\31									1	1	1.000	116.129