4L 1s (5/3-equivalent)

← 3L 1s⟨5/3⟩	4L 1s (5/3-equivalent)	5L 1s⟨5/3⟩ →
↙ 3L 2s⟨5/3⟩	↓ 4L 2s⟨5/3⟩	5L 2s⟨5/3⟩ ↘

Scale structure
Step pattern	LLLLs sLLLL
Equave	5/3 (884.4 ¢)
Period	5/3 (884.4 ¢)
Generator size(ed5/3)
Bright	1\5 to 1\4 (176.9 ¢ to 221.1 ¢)
Dark	3\4 to 4\5 (663.3 ¢ to 707.5 ¢)
Related MOS scales
Parent	1L 3s⟨5/3⟩
Sister	1L 4s⟨5/3⟩
Daughters	5L 4s⟨5/3⟩, 4L 5s⟨5/3⟩
Neutralized	3L 2s⟨5/3⟩
2-Flought	9L 1s⟨5/3⟩, 4L 6s⟨5/3⟩
Equal tunings(ed5/3)
Equalized (L:s = 1:1)	1\5 (176.9 ¢)
Supersoft (L:s = 4:3)	4\19 (186.2 ¢)
Soft (L:s = 3:2)	3\14 (189.5 ¢)
Semisoft (L:s = 5:3)	5\23 (192.3 ¢)
Basic (L:s = 2:1)	2\9 (196.5 ¢)
Semihard (L:s = 5:2)	5\22 (201.0 ¢)
Hard (L:s = 3:1)	3\13 (204.1 ¢)
Superhard (L:s = 4:1)	4\17 (208.1 ¢)
Collapsed (L:s = 1:0)	1\4 (221.1 ¢)
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4L 1s⟨5/3⟩ is a 5/3-equivalent (non-octave) moment of symmetry scale containing 4 large steps and 1 small step, repeating every interval of 5/3 (884.4 ¢). Generators that produce this scale range from 176.9 ¢ to 221.1 ¢, or from 663.3 ¢ to 707.5 ¢. Scales of this form are always proper because there is only one small step.

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 4L 1s⟨5/3⟩

Generator(ed5/3)						Cents		Step ratio		Comments(always proper)
						Bright	Dark	L:s	Hardness
1\5						176.872	707.487	1:1	1.000	Equalized 4L 1s⟨5/3⟩
					6\29	182.971	701.388	6:5	1.200
				5\24		184.241	700.117	5:4	1.250
					9\43	185.098	699.260	9:7	1.286
			4\19			186.181	698.178	4:3	1.333	Supersoft 4L 1s⟨5/3⟩
					11\52	187.076	697.283	11:8	1.375
				7\33		187.591	696.767	7:5	1.400
					10\47	188.161	696.197	10:7	1.429
		3\14				189.505	694.853	3:2	1.500	Soft 4L 1s⟨5/3⟩
					11\51	190.744	693.615	11:7	1.571
				8\37		191.213	693.146	8:5	1.600
					13\60	191.611	692.748	13:8	1.625
			5\23			192.252	692.107	5:3	1.667	Semisoft 4L 1s⟨5/3⟩
					12\55	192.951	691.408	12:7	1.714
				7\32		193.453	690.905	7:4	1.750
					9\41	194.128	690.231	9:5	1.800
	2\9					196.524	687.835	2:1	2.000	Basic 4L 1s⟨5/3⟩
					9\40	198.981	685.378	9:4	2.250
				7\31		199.694	684.665	7:3	2.333
					12\53	200.232	684.127	12:5	2.400
			5\22			200.991	683.368	5:2	2.500	Semihard 4L 1s⟨5/3⟩
					13\57	201.696	682.663	13:5	2.600
				8\35		202.139	682.220	8:3	2.667
					11\48	202.666	681.693	11:4	2.750
		3\13				204.083	680.276	3:1	3.000	Hard 4L 1s⟨5/3⟩
					10\43	205.665	678.694	10:3	3.333
				7\30		206.350	678.008	7:2	3.500
					11\47	206.978	677.381	11:3	3.667
			4\17			208.084	676.274	4:1	4.000	Superhard 4L 1s⟨5/3⟩
					9\38	209.453	674.905	9:2	4.500
				5\21		210.562	673.797	5:1	5.000
					6\25	212.246	672.113	6:1	6.000
1\4						221.090	663.269	1:0	→ ∞	Collapsed 4L 1s⟨5/3⟩

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