4L 20s

↖ 3L 19s ↑ 4L 19s 5L 19s ↗

← 3L 20s 4L 20s 5L 20s →

↙ 3L 21s ↓ 4L 21s 5L 21s ↘
	Scale structure
Step pattern	LsssssLsssssLsssssLsssss; sssssLsssssLsssssLsssssL
Equave	2/1 (1200.0 ¢)
Period	1\4 (300.0 ¢)
	Generator size
Bright	5\24 to 1\4 (250.0 ¢ to 300.0 ¢)
Dark	0\4 to 1\24 (0.0 ¢ to 50.0 ¢)
	TAMNAMS information
Related to	4L 4s (tetrawood)
With tunings	5:1 to 1:0
	Related MOS scales
Parent	4L 16s
Sister	20L 4s
Daughters	24L 4s, 4L 24s
Neutralized	8L 16s
2-Flought	28L 20s, 4L 44s
	Equal tunings
Equalized (L:s = 1:1)	5\24 (250.0 ¢)
Supersoft (L:s = 4:3)	16\76 (252.6 ¢)
Soft (L:s = 3:2)	11\52 (253.8 ¢)
Semisoft (L:s = 5:3)	17\80 (255.0 ¢)
Basic (L:s = 2:1)	6\28 (257.1 ¢)
Semihard (L:s = 5:2)	13\60 (260.0 ¢)
Hard (L:s = 3:1)	7\32 (262.5 ¢)
Superhard (L:s = 4:1)	8\36 (266.7 ¢)
Collapsed (L:s = 1:0)	1\4 (300.0 ¢)
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4L 20s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 4 large steps and 20 small steps, with a period of 1 large step and 5 small steps that repeats every 300.0 ¢, or 4 times every octave. 4L 20s is related to 4L 4s, expanding it by 16 tones. Generators that produce this scale range from 250 ¢ to 300 ¢, or from 0 ¢ to 50 ¢.

Modes

Modes of 4L 20s
UDP	Cyclic order	Step pattern
20\|0(4)	1	LsssssLsssssLsssssLsssss
16\|4(4)	6	sLsssssLsssssLsssssLssss
12\|8(4)	5	ssLsssssLsssssLsssssLsss
8\|12(4)	4	sssLsssssLsssssLsssssLss
4\|16(4)	3	ssssLsssssLsssssLsssssLs
0\|20(4)	2	sssssLsssssLsssssLsssssL

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 4L 20s
Generator^(edo)						Cents		Step ratio		Comments
Generator^(edo)						Bright	Dark	L:s	Hardness	Comments
5\24						250.000	50.000	1:1	1.000	Equalized 4L 20s
					26\124	251.613	48.387	6:5	1.200
				21\100		252.000	48.000	5:4	1.250
					37\176	252.273	47.727	9:7	1.286
			16\76			252.632	47.368	4:3	1.333	Supersoft 4L 20s
					43\204	252.941	47.059	11:8	1.375
				27\128		253.125	46.875	7:5	1.400
					38\180	253.333	46.667	10:7	1.429
		11\52				253.846	46.154	3:2	1.500	Soft 4L 20s
					39\184	254.348	45.652	11:7	1.571
				28\132		254.545	45.455	8:5	1.600
					45\212	254.717	45.283	13:8	1.625
			17\80			255.000	45.000	5:3	1.667	Semisoft 4L 20s
					40\188	255.319	44.681	12:7	1.714
				23\108		255.556	44.444	7:4	1.750
					29\136	255.882	44.118	9:5	1.800
	6\28					257.143	42.857	2:1	2.000	Basic 4L 20s Scales with tunings softer than this are proper
					25\116	258.621	41.379	9:4	2.250
				19\88		259.091	40.909	7:3	2.333
					32\148	259.459	40.541	12:5	2.400
			13\60			260.000	40.000	5:2	2.500	Semihard 4L 20s
					33\152	260.526	39.474	13:5	2.600
				20\92		260.870	39.130	8:3	2.667
					27\124	261.290	38.710	11:4	2.750
		7\32				262.500	37.500	3:1	3.000	Hard 4L 20s
					22\100	264.000	36.000	10:3	3.333
				15\68		264.706	35.294	7:2	3.500
					23\104	265.385	34.615	11:3	3.667
			8\36			266.667	33.333	4:1	4.000	Superhard 4L 20s
					17\76	268.421	31.579	9:2	4.500
				9\40		270.000	30.000	5:1	5.000
					10\44	272.727	27.273	6:1	6.000
1\4						300.000	0.000	1:0	→ ∞	Collapsed 4L 20s