2L 21s

↖ 1L 20s	↑ 2L 20s	3L 20s ↗
← 1L 21s	2L 21s	3L 21s →
↙ 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 ¢.

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.

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

Scale tree

Scale tree and tuning spectrum of 2L 21s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
11\23						573.913	626.087	1:1	1.000	Equalized 2L 21s
					56\117	574.359	625.641	6:5	1.200
				45\94		574.468	625.532	5:4	1.250
					79\165	574.545	625.455	9:7	1.286
			34\71			574.648	625.352	4:3	1.333	Supersoft 2L 21s
					91\190	574.737	625.263	11:8	1.375
				57\119		574.790	625.210	7:5	1.400
					80\167	574.850	625.150	10:7	1.429
		23\48				575.000	625.000	3:2	1.500	Soft 2L 21s
					81\169	575.148	624.852	11:7	1.571
				58\121		575.207	624.793	8:5	1.600
					93\194	575.258	624.742	13:8	1.625
			35\73			575.342	624.658	5:3	1.667	Semisoft 2L 21s
					82\171	575.439	624.561	12:7	1.714
				47\98		575.510	624.490	7:4	1.750
					59\123	575.610	624.390	9:5	1.800
	12\25					576.000	624.000	2:1	2.000	Basic 2L 21s Scales with tunings softer than this are proper
					49\102	576.471	623.529	9:4	2.250
				37\77		576.623	623.377	7:3	2.333
					62\129	576.744	623.256	12:5	2.400
			25\52			576.923	623.077	5:2	2.500	Semihard 2L 21s
					63\131	577.099	622.901	13:5	2.600
				38\79		577.215	622.785	8:3	2.667
					51\106	577.358	622.642	11:4	2.750
		13\27				577.778	622.222	3:1	3.000	Hard 2L 21s
					40\83	578.313	621.687	10:3	3.333
				27\56		578.571	621.429	7:2	3.500
					41\85	578.824	621.176	11:3	3.667
			14\29			579.310	620.690	4:1	4.000	Superhard 2L 21s
					29\60	580.000	620.000	9:2	4.500
				15\31		580.645	619.355	5:1	5.000
					16\33	581.818	618.182	6:1	6.000
1\2						600.000	600.000	1:0	→ ∞	Collapsed 2L 21s

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