5L 21s

↖ 4L 20s ↑ 5L 20s 6L 20s ↗

← 4L 21s 5L 21s 6L 21s →

↙ 4L 22s ↓ 5L 22s 6L 22s ↘
	Scale structure
Step pattern	LssssLssssLssssLssssLsssss; sssssLssssLssssLssssLssssL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
	Generator size
Bright	5\26 to 1\5 (230.8 ¢ to 240.0 ¢)
Dark	4\5 to 21\26 (960.0 ¢ to 969.2 ¢)
	TAMNAMS information
Related to	5L 1s (machinoid)
With tunings	5:1 to 1:0
	Related MOS scales
Parent	5L 16s
Sister	21L 5s
Daughters	26L 5s, 5L 26s
Neutralized	10L 16s
2-Flought	31L 21s, 5L 47s
	Equal tunings
Equalized (L:s = 1:1)	5\26 (230.8 ¢)
Supersoft (L:s = 4:3)	16\83 (231.3 ¢)
Soft (L:s = 3:2)	11\57 (231.6 ¢)
Semisoft (L:s = 5:3)	17\88 (231.8 ¢)
Basic (L:s = 2:1)	6\31 (232.3 ¢)
Semihard (L:s = 5:2)	13\67 (232.8 ¢)
Hard (L:s = 3:1)	7\36 (233.3 ¢)
Superhard (L:s = 4:1)	8\41 (234.1 ¢)
Collapsed (L:s = 1:0)	1\5 (240.0 ¢)
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5L 21s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 5 large steps and 21 small steps, repeating every octave. 5L 21s is related to 5L 1s, expanding it by 20 tones. Generators that produce this scale range from 230.8 ¢ to 240 ¢, or from 960 ¢ to 969.2 ¢.

Modes

Modes of 5L 21s
UDP	Cyclic order	Step pattern
25\|0	1	LssssLssssLssssLssssLsssss
24\|1	6	LssssLssssLssssLsssssLssss
23\|2	11	LssssLssssLsssssLssssLssss
22\|3	16	LssssLsssssLssssLssssLssss
21\|4	21	LsssssLssssLssssLssssLssss
20\|5	26	sLssssLssssLssssLssssLssss
19\|6	5	sLssssLssssLssssLsssssLsss
18\|7	10	sLssssLssssLsssssLssssLsss
17\|8	15	sLssssLsssssLssssLssssLsss
16\|9	20	sLsssssLssssLssssLssssLsss
15\|10	25	ssLssssLssssLssssLssssLsss
14\|11	4	ssLssssLssssLssssLsssssLss
13\|12	9	ssLssssLssssLsssssLssssLss
12\|13	14	ssLssssLsssssLssssLssssLss
11\|14	19	ssLsssssLssssLssssLssssLss
10\|15	24	sssLssssLssssLssssLssssLss
9\|16	3	sssLssssLssssLssssLsssssLs
8\|17	8	sssLssssLssssLsssssLssssLs
7\|18	13	sssLssssLsssssLssssLssssLs
6\|19	18	sssLsssssLssssLssssLssssLs
5\|20	23	ssssLssssLssssLssssLssssLs
4\|21	2	ssssLssssLssssLssssLsssssL
3\|22	7	ssssLssssLssssLsssssLssssL
2\|23	12	ssssLssssLsssssLssssLssssL
1\|24	17	ssssLsssssLssssLssssLssssL
0\|25	22	sssssLssssLssssLssssLssssL

Scale tree

Template: Scale tree is deprecated. Please use Template: MOS tuning spectrum instead. Details:
Use of a single Comments parameter has become unmaintainable. Existing scale trees should be migrated to the new template, where comments are entered using a step ratio p/q as a parameter:

{{MOS tuning spectrum
| 3/2 = Example comment
| 4/3 = Another example comment
}}

The parameters tuning and depth have been replaced with Scale Signature and Depth, respectively.

Scale tree and tuning spectrum of 5L 21s
Generator^(edo)						Cents		Step ratio		Comments
Generator^(edo)						Bright	Dark	L:s	Hardness	Comments
5\26						230.769	969.231	1:1	1.000	Equalized 5L 21s
					26\135	231.111	968.889	6:5	1.200
				21\109		231.193	968.807	5:4	1.250
					37\192	231.250	968.750	9:7	1.286
			16\83			231.325	968.675	4:3	1.333	Supersoft 5L 21s
					43\223	231.390	968.610	11:8	1.375
				27\140		231.429	968.571	7:5	1.400
					38\197	231.472	968.528	10:7	1.429
		11\57				231.579	968.421	3:2	1.500	Soft 5L 21s
					39\202	231.683	968.317	11:7	1.571
				28\145		231.724	968.276	8:5	1.600
					45\233	231.760	968.240	13:8	1.625
			17\88			231.818	968.182	5:3	1.667	Semisoft 5L 21s
					40\207	231.884	968.116	12:7	1.714
				23\119		231.933	968.067	7:4	1.750
					29\150	232.000	968.000	9:5	1.800
	6\31					232.258	967.742	2:1	2.000	Basic 5L 21s Scales with tunings softer than this are proper
					25\129	232.558	967.442	9:4	2.250
				19\98		232.653	967.347	7:3	2.333
					32\165	232.727	967.273	12:5	2.400
			13\67			232.836	967.164	5:2	2.500	Semihard 5L 21s
					33\170	232.941	967.059	13:5	2.600
				20\103		233.010	966.990	8:3	2.667
					27\139	233.094	966.906	11:4	2.750
		7\36				233.333	966.667	3:1	3.000	Hard 5L 21s
					22\113	233.628	966.372	10:3	3.333
				15\77		233.766	966.234	7:2	3.500
					23\118	233.898	966.102	11:3	3.667
			8\41			234.146	965.854	4:1	4.000	Superhard 5L 21s
					17\87	234.483	965.517	9:2	4.500
				9\46		234.783	965.217	5:1	5.000
					10\51	235.294	964.706	6:1	6.000
1\5						240.000	960.000	1:0	→ ∞	Collapsed 5L 21s

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