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
Descends from	5L 2s (diatonic)
Ancestor's step ratio range	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¢)

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¢.

Intervals

Intervals of 22L 5s

Intervals			Steps subtended	Range in cents
Generic	Specific	Abbrev.
0-mosstep	Perfect 0-mosstep	P0ms	0	0.0¢
1-mosstep	Minor 1-mosstep	m1ms	s	0.0¢ to 44.4¢
	Major 1-mosstep	M1ms	L	44.4¢ to 54.5¢
2-mosstep	Minor 2-mosstep	m2ms	L + s	54.5¢ to 88.9¢
	Major 2-mosstep	M2ms	2L	88.9¢ to 109.1¢
3-mosstep	Minor 3-mosstep	m3ms	2L + s	109.1¢ to 133.3¢
	Major 3-mosstep	M3ms	3L	133.3¢ to 163.6¢
4-mosstep	Minor 4-mosstep	m4ms	3L + s	163.6¢ to 177.8¢
	Major 4-mosstep	M4ms	4L	177.8¢ to 218.2¢
5-mosstep	Minor 5-mosstep	m5ms	4L + s	218.2¢ to 222.2¢
	Major 5-mosstep	M5ms	5L	222.2¢ to 272.7¢
6-mosstep	Minor 6-mosstep	m6ms	4L + 2s	218.2¢ to 266.7¢
	Major 6-mosstep	M6ms	5L + s	266.7¢ to 272.7¢
7-mosstep	Minor 7-mosstep	m7ms	5L + 2s	272.7¢ to 311.1¢
	Major 7-mosstep	M7ms	6L + s	311.1¢ to 327.3¢
8-mosstep	Minor 8-mosstep	m8ms	6L + 2s	327.3¢ to 355.6¢
	Major 8-mosstep	M8ms	7L + s	355.6¢ to 381.8¢
9-mosstep	Minor 9-mosstep	m9ms	7L + 2s	381.8¢ to 400.0¢
	Major 9-mosstep	M9ms	8L + s	400.0¢ to 436.4¢
10-mosstep	Minor 10-mosstep	m10ms	8L + 2s	436.4¢ to 444.4¢
	Major 10-mosstep	M10ms	9L + s	444.4¢ to 490.9¢
11-mosstep	Diminished 11-mosstep	d11ms	8L + 3s	436.4¢ to 488.9¢
	Perfect 11-mosstep	P11ms	9L + 2s	488.9¢ to 490.9¢
12-mosstep	Minor 12-mosstep	m12ms	9L + 3s	490.9¢ to 533.3¢
	Major 12-mosstep	M12ms	10L + 2s	533.3¢ to 545.5¢
13-mosstep	Minor 13-mosstep	m13ms	10L + 3s	545.5¢ to 577.8¢
	Major 13-mosstep	M13ms	11L + 2s	577.8¢ to 600.0¢
14-mosstep	Minor 14-mosstep	m14ms	11L + 3s	600.0¢ to 622.2¢
	Major 14-mosstep	M14ms	12L + 2s	622.2¢ to 654.5¢
15-mosstep	Minor 15-mosstep	m15ms	12L + 3s	654.5¢ to 666.7¢
	Major 15-mosstep	M15ms	13L + 2s	666.7¢ to 709.1¢
16-mosstep	Perfect 16-mosstep	P16ms	13L + 3s	709.1¢ to 711.1¢
	Augmented 16-mosstep	A16ms	14L + 2s	711.1¢ to 763.6¢
17-mosstep	Minor 17-mosstep	m17ms	13L + 4s	709.1¢ to 755.6¢
	Major 17-mosstep	M17ms	14L + 3s	755.6¢ to 763.6¢
18-mosstep	Minor 18-mosstep	m18ms	14L + 4s	763.6¢ to 800.0¢
	Major 18-mosstep	M18ms	15L + 3s	800.0¢ to 818.2¢
19-mosstep	Minor 19-mosstep	m19ms	15L + 4s	818.2¢ to 844.4¢
	Major 19-mosstep	M19ms	16L + 3s	844.4¢ to 872.7¢
20-mosstep	Minor 20-mosstep	m20ms	16L + 4s	872.7¢ to 888.9¢
	Major 20-mosstep	M20ms	17L + 3s	888.9¢ to 927.3¢
21-mosstep	Minor 21-mosstep	m21ms	17L + 4s	927.3¢ to 933.3¢
	Major 21-mosstep	M21ms	18L + 3s	933.3¢ to 981.8¢
22-mosstep	Minor 22-mosstep	m22ms	17L + 5s	927.3¢ to 977.8¢
	Major 22-mosstep	M22ms	18L + 4s	977.8¢ to 981.8¢
23-mosstep	Minor 23-mosstep	m23ms	18L + 5s	981.8¢ to 1022.2¢
	Major 23-mosstep	M23ms	19L + 4s	1022.2¢ to 1036.4¢
24-mosstep	Minor 24-mosstep	m24ms	19L + 5s	1036.4¢ to 1066.7¢
	Major 24-mosstep	M24ms	20L + 4s	1066.7¢ to 1090.9¢
25-mosstep	Minor 25-mosstep	m25ms	20L + 5s	1090.9¢ to 1111.1¢
	Major 25-mosstep	M25ms	21L + 4s	1111.1¢ to 1145.5¢
26-mosstep	Minor 26-mosstep	m26ms	21L + 5s	1145.5¢ to 1155.6¢
	Major 26-mosstep	M26ms	22L + 4s	1155.6¢ to 1200.0¢
27-mosstep	Perfect 27-mosstep	P27ms	22L + 5s	1200.0¢

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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