10L 21s

↖ 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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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 ¢.

Scale properties

This article uses TAMNAMS conventions for the names of this scale's intervals and scale degrees. The use of 1-indexed ordinal names is reserved for interval regions.

Template:MOS data is deprecated. Details: Please use the following templates individually: MOS intervals, MOS genchain, and MOS mode degrees

Scale tree

Scale tree and tuning spectrum of 10L 21s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
3\31						116.129	1083.871	1:1	1.000	Equalized 10L 21s
					16\165	116.364	1083.636	6:5	1.200
				13\134		116.418	1083.582	5:4	1.250
					23\237	116.456	1083.544	9:7	1.286
			10\103			116.505	1083.495	4:3	1.333	Supersoft 10L 21s
					27\278	116.547	1083.453	11:8	1.375
				17\175		116.571	1083.429	7:5	1.400
					24\247	116.599	1083.401	10:7	1.429
		7\72				116.667	1083.333	3:2	1.500	Soft 10L 21s
					25\257	116.732	1083.268	11:7	1.571
				18\185		116.757	1083.243	8:5	1.600
					29\298	116.779	1083.221	13:8	1.625
			11\113			116.814	1083.186	5:3	1.667	Semisoft 10L 21s
					26\267	116.854	1083.146	12:7	1.714
				15\154		116.883	1083.117	7:4	1.750
					19\195	116.923	1083.077	9:5	1.800
	4\41					117.073	1082.927	2:1	2.000	Basic 10L 21s Scales with tunings softer than this are proper
					17\174	117.241	1082.759	9:4	2.250
				13\133		117.293	1082.707	7:3	2.333
					22\225	117.333	1082.667	12:5	2.400
			9\92			117.391	1082.609	5:2	2.500	Semihard 10L 21s
					23\235	117.447	1082.553	13:5	2.600
				14\143		117.483	1082.517	8:3	2.667
					19\194	117.526	1082.474	11:4	2.750
		5\51				117.647	1082.353	3:1	3.000	Hard 10L 21s
					16\163	117.791	1082.209	10:3	3.333
				11\112		117.857	1082.143	7:2	3.500
					17\173	117.919	1082.081	11:3	3.667
			6\61			118.033	1081.967	4:1	4.000	Superhard 10L 21s
					13\132	118.182	1081.818	9:2	4.500
				7\71		118.310	1081.690	5:1	5.000
					8\81	118.519	1081.481	6:1	6.000
1\10						120.000	1080.000	1:0	→ ∞	Collapsed 10L 21s

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