5L 22s

5L 22s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 5 large steps and 22 small steps, repeating every octave. 5L 22s is related to 5L 2s, expanding it by 20 tones. Generators that produce this scale range from 711.1 ¢ to 720 ¢, or from 480 ¢ to 488.9 ¢.

↖ 4L 21s	↑ 5L 21s	6L 21s ↗
← 4L 22s	5L 22s	6L 22s →
↙ 4L 23s	↓ 5L 23s	6L 23s ↘

Scale structure
Step pattern	LssssLssssLsssssLssssLsssss sssssLssssLsssssLssssLssssL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	16\27 to 3\5 (711.1 ¢ to 720.0 ¢)
Dark	2\5 to 11\27 (480.0 ¢ to 488.9 ¢)
TAMNAMS information
Related to	5L 2s (diatonic)
With tunings	5:1 to 1:0
Related MOS scales
Parent	5L 17s
Sister	22L 5s
Daughters	27L 5s, 5L 27s
Neutralized	10L 17s
2-Flought	32L 22s, 5L 49s
Equal tunings
Equalized (L:s = 1:1)	16\27 (711.1 ¢)
Supersoft (L:s = 4:3)	51\86 (711.6 ¢)
Soft (L:s = 3:2)	35\59 (711.9 ¢)
Semisoft (L:s = 5:3)	54\91 (712.1 ¢)
Basic (L:s = 2:1)	19\32 (712.5 ¢)
Semihard (L:s = 5:2)	41\69 (713.0 ¢)
Hard (L:s = 3:1)	22\37 (713.5 ¢)
Superhard (L:s = 4:1)	25\42 (714.3 ¢)
Collapsed (L:s = 1:0)	3\5 (720.0 ¢)
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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 5L 22s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
16\27						711.111	488.889	1:1	1.000	Equalized 5L 22s
					83\140	711.429	488.571	6:5	1.200
				67\113		711.504	488.496	5:4	1.250
					118\199	711.558	488.442	9:7	1.286
			51\86			711.628	488.372	4:3	1.333	Supersoft 5L 22s
					137\231	711.688	488.312	11:8	1.375
				86\145		711.724	488.276	7:5	1.400
					121\204	711.765	488.235	10:7	1.429
		35\59				711.864	488.136	3:2	1.500	Soft 5L 22s
					124\209	711.962	488.038	11:7	1.571
				89\150		712.000	488.000	8:5	1.600
					143\241	712.033	487.967	13:8	1.625
			54\91			712.088	487.912	5:3	1.667	Semisoft 5L 22s
					127\214	712.150	487.850	12:7	1.714
				73\123		712.195	487.805	7:4	1.750
					92\155	712.258	487.742	9:5	1.800
	19\32					712.500	487.500	2:1	2.000	Basic 5L 22s Scales with tunings softer than this are proper
					79\133	712.782	487.218	9:4	2.250
				60\101		712.871	487.129	7:3	2.333
					101\170	712.941	487.059	12:5	2.400
			41\69			713.043	486.957	5:2	2.500	Semihard 5L 22s
					104\175	713.143	486.857	13:5	2.600
				63\106		713.208	486.792	8:3	2.667
					85\143	713.287	486.713	11:4	2.750
		22\37				713.514	486.486	3:1	3.000	Hard 5L 22s
					69\116	713.793	486.207	10:3	3.333
				47\79		713.924	486.076	7:2	3.500
					72\121	714.050	485.950	11:3	3.667
			25\42			714.286	485.714	4:1	4.000	Superhard 5L 22s
					53\89	714.607	485.393	9:2	4.500
				28\47		714.894	485.106	5:1	5.000
					31\52	715.385	484.615	6:1	6.000
3\5						720.000	480.000	1:0	→ ∞	Collapsed 5L 22s

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