22L 5s

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

Scale structure
Step pattern	LLLLLsLLLLsLLLLLsLLLLsLLLLs sLLLLsLLLLsLLLLLsLLLLsLLLLL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	11\27 to 9\22 (488.9 ¢ to 490.9 ¢)
Dark	13\22 to 16\27 (709.1 ¢ to 711.1 ¢)
TAMNAMS information
Related to	5L 2s (diatonic)
With tunings	4:1 to 5:1
Related MOS scales
Parent	5L 17s
Sister	5L 22s
Daughters	27L 22s, 22L 27s
Neutralized	17L 10s
2-Flought	49L 5s, 22L 32s
Equal tunings
Equalized (L:s = 1:1)	11\27 (488.9 ¢)
Supersoft (L:s = 4:3)	42\103 (489.3 ¢)
Soft (L:s = 3:2)	31\76 (489.5 ¢)
Semisoft (L:s = 5:3)	51\125 (489.6 ¢)
Basic (L:s = 2:1)	20\49 (489.8 ¢)
Semihard (L:s = 5:2)	49\120 (490.0 ¢)
Hard (L:s = 3:1)	29\71 (490.1 ¢)
Superhard (L:s = 4:1)	38\93 (490.3 ¢)
Collapsed (L:s = 1:0)	9\22 (490.9 ¢)
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22L 5s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 22 large steps and 5 small steps, repeating every octave. 22L 5s is related to 5L 2s, expanding it by 20 tones. Generators that produce this scale range from 488.9 ¢ to 490.9 ¢, or from 709.1 ¢ to 711.1 ¢.

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.

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 22L 5s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
11\27						488.889	711.111	1:1	1.000	Equalized 22L 5s
					64\157	489.172	710.828	6:5	1.200
				53\130		489.231	710.769	5:4	1.250
					95\233	489.270	710.730	9:7	1.286
			42\103			489.320	710.680	4:3	1.333	Supersoft 22L 5s
					115\282	489.362	710.638	11:8	1.375
				73\179		489.385	710.615	7:5	1.400
					104\255	489.412	710.588	10:7	1.429
		31\76				489.474	710.526	3:2	1.500	Soft 22L 5s
					113\277	489.531	710.469	11:7	1.571
				82\201		489.552	710.448	8:5	1.600
					133\326	489.571	710.429	13:8	1.625
			51\125			489.600	710.400	5:3	1.667	Semisoft 22L 5s
					122\299	489.632	710.368	12:7	1.714
				71\174		489.655	710.345	7:4	1.750
					91\223	489.686	710.314	9:5	1.800
	20\49					489.796	710.204	2:1	2.000	Basic 22L 5s Scales with tunings softer than this are proper
					89\218	489.908	710.092	9:4	2.250
				69\169		489.941	710.059	7:3	2.333
					118\289	489.965	710.035	12:5	2.400
			49\120			490.000	710.000	5:2	2.500	Semihard 22L 5s
					127\311	490.032	709.968	13:5	2.600
				78\191		490.052	709.948	8:3	2.667
					107\262	490.076	709.924	11:4	2.750
		29\71				490.141	709.859	3:1	3.000	Hard 22L 5s
					96\235	490.213	709.787	10:3	3.333
				67\164		490.244	709.756	7:2	3.500
					105\257	490.272	709.728	11:3	3.667
			38\93			490.323	709.677	4:1	4.000	Superhard 22L 5s
					85\208	490.385	709.615	9:2	4.500
				47\115		490.435	709.565	5:1	5.000
					56\137	490.511	709.489	6:1	6.000
9\22						490.909	709.091	1:0	→ ∞	Collapsed 22L 5s

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