5L 20s

↖ 4L 19s ↑ 5L 19s 6L 19s ↗

← 4L 20s 5L 20s 6L 20s →

↙ 4L 21s ↓ 5L 21s 6L 21s ↘
	Scale structure
Step pattern	LssssLssssLssssLssssLssss; ssssLssssLssssLssssLssssL
Equave	2/1 (1200.0 ¢)
Period	1\5 (240.0 ¢)
	Generator size
Bright	4\25 to 1\5 (192.0 ¢ to 240.0 ¢)
Dark	0\5 to 1\25 (0.0 ¢ to 48.0 ¢)
	TAMNAMS information
Related to	5L 5s (pentawood)
With tunings	4:1 to 1:0 (ultrahard)
	Related MOS scales
Parent	5L 15s
Sister	20L 5s
Daughters	25L 5s, 5L 25s
Neutralized	10L 15s
2-Flought	30L 20s, 5L 45s
	Equal tunings
Equalized (L:s = 1:1)	4\25 (192.0 ¢)
Supersoft (L:s = 4:3)	13\80 (195.0 ¢)
Soft (L:s = 3:2)	9\55 (196.4 ¢)
Semisoft (L:s = 5:3)	14\85 (197.6 ¢)
Basic (L:s = 2:1)	5\30 (200.0 ¢)
Semihard (L:s = 5:2)	11\65 (203.1 ¢)
Hard (L:s = 3:1)	6\35 (205.7 ¢)
Superhard (L:s = 4:1)	7\40 (210.0 ¢)
Collapsed (L:s = 1:0)	1\5 (240.0 ¢)
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5L 20s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 5 large steps and 20 small steps, with a period of 1 large step and 4 small steps that repeats every 240.0 ¢, or 5 times every octave. 5L 20s is a great-grandchild scale of 5L 5s, expanding it by 15 tones. Generators that produce this scale range from 192 ¢ to 240 ¢, or from 0 ¢ to 48 ¢.

Modes

Modes of 5L 20s
UDP	Cyclic order	Step pattern
20\|0(5)	1	LssssLssssLssssLssssLssss
15\|5(5)	5	sLssssLssssLssssLssssLsss
10\|10(5)	4	ssLssssLssssLssssLssssLss
5\|15(5)	3	sssLssssLssssLssssLssssLs
0\|20(5)	2	ssssLssssLssssLssssLssssL

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 20s
Generator^(edo)						Cents		Step ratio		Comments
Generator^(edo)						Bright	Dark	L:s	Hardness	Comments
4\25						192.000	48.000	1:1	1.000	Equalized 5L 20s
					21\130	193.846	46.154	6:5	1.200
				17\105		194.286	45.714	5:4	1.250
					30\185	194.595	45.405	9:7	1.286
			13\80			195.000	45.000	4:3	1.333	Supersoft 5L 20s
					35\215	195.349	44.651	11:8	1.375
				22\135		195.556	44.444	7:5	1.400
					31\190	195.789	44.211	10:7	1.429
		9\55				196.364	43.636	3:2	1.500	Soft 5L 20s
					32\195	196.923	43.077	11:7	1.571
				23\140		197.143	42.857	8:5	1.600
					37\225	197.333	42.667	13:8	1.625
			14\85			197.647	42.353	5:3	1.667	Semisoft 5L 20s
					33\200	198.000	42.000	12:7	1.714
				19\115		198.261	41.739	7:4	1.750
					24\145	198.621	41.379	9:5	1.800
	5\30					200.000	40.000	2:1	2.000	Basic 5L 20s Scales with tunings softer than this are proper
					21\125	201.600	38.400	9:4	2.250
				16\95		202.105	37.895	7:3	2.333
					27\160	202.500	37.500	12:5	2.400
			11\65			203.077	36.923	5:2	2.500	Semihard 5L 20s
					28\165	203.636	36.364	13:5	2.600
				17\100		204.000	36.000	8:3	2.667
					23\135	204.444	35.556	11:4	2.750
		6\35				205.714	34.286	3:1	3.000	Hard 5L 20s
					19\110	207.273	32.727	10:3	3.333
				13\75		208.000	32.000	7:2	3.500
					20\115	208.696	31.304	11:3	3.667
			7\40			210.000	30.000	4:1	4.000	Superhard 5L 20s
					15\85	211.765	28.235	9:2	4.500
				8\45		213.333	26.667	5:1	5.000
					9\50	216.000	24.000	6:1	6.000
1\5						240.000	0.000	1:0	→ ∞	Collapsed 5L 20s