3L 1s

← 2L 1s	3L 1s	4L 1s →
↙ 2L 2s	↓ 3L 2s	4L 2s ↘

┌╥╥╥┬┐ │║║║││ ││││││ └┴┴┴┴┘
Scale structure
Step pattern	LLLs sLLL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	1\4 to 1\3 (300.0 ¢ to 400.0 ¢)
Dark	2\3 to 3\4 (800.0 ¢ to 900.0 ¢)
Related MOS scales
Parent	1L 2s
Sister	1L 3s
Daughters	4L 3s, 3L 4s
Neutralized	2L 2s
2-Flought	7L 1s, 3L 5s
Equal tunings
Equalized (L:s = 1:1)	1\4 (300.0 ¢)
Supersoft (L:s = 4:3)	4\15 (320.0 ¢)
Soft (L:s = 3:2)	3\11 (327.3 ¢)
Semisoft (L:s = 5:3)	5\18 (333.3 ¢)
Basic (L:s = 2:1)	2\7 (342.9 ¢)
Semihard (L:s = 5:2)	5\17 (352.9 ¢)
Hard (L:s = 3:1)	3\10 (360.0 ¢)
Superhard (L:s = 4:1)	4\13 (369.2 ¢)
Collapsed (L:s = 1:0)	1\3 (400.0 ¢)

3L 1s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 3 large steps and 1 small step, repeating every octave. Generators that produce this scale range from 300 ¢ to 400 ¢, or from 800 ¢ to 900 ¢. 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.

MOS data is deprecated. Please use the following templates individually: MOS intervals, MOS genchain, and MOS mode degrees

Scale tree

Generator ranges:

• Chroma-positive generator: 300 ¢ (1\4) to 400 ¢ (1\3)
• Chroma-negative generator: 800 ¢ (2\3) to 900 ¢ (3\4)

Scale tree and tuning spectrum of 3L 1s

Generator(edo)						Cents		Step ratio		Comments(always proper)
						Bright	Dark	L:s	Hardness
1\4						300.000	900.000	1:1	1.000	Equalized 3L 1s
					6\23	313.043	886.957	6:5	1.200
				5\19		315.789	884.211	5:4	1.250
					9\34	317.647	882.353	9:7	1.286	Hanson/keemun
			4\15			320.000	880.000	4:3	1.333	Supersoft 3L 1s
					11\41	321.951	878.049	11:8	1.375	Superkleismic
				7\26		323.077	876.923	7:5	1.400
					10\37	324.324	875.676	10:7	1.429	Hyperkleismic
		3\11				327.273	872.727	3:2	1.500	Soft 3L 1s
					11\40	330.000	870.000	11:7	1.571
				8\29		331.034	868.966	8:5	1.600
					13\47	331.915	868.085	13:8	1.625	Golden dicot (331.672 ¢)
			5\18			333.333	866.667	5:3	1.667	Semisoft 3L 1s
					12\43	334.884	865.116	12:7	1.714
				7\25		336.000	864.000	7:4	1.750
					9\32	337.500	862.500	9:5	1.800	Sixix
	2\7					342.857	857.143	2:1	2.000	Basic 3L 1s
					9\31	348.387	851.613	9:4	2.250	Mohaha/mohajira
				7\24		350.000	850.000	7:3	2.333
					12\41	351.220	848.780	12:5	2.400	Hemif/hemififths
			5\17			352.941	847.059	5:2	2.500	Semihard 3L 1s
					13\44	354.545	845.455	13:5	2.600	Golden suhajira (354.823 ¢)
				8\27		355.556	844.444	8:3	2.667
					11\37	356.757	843.243	11:4	2.750	Beatles
		3\10				360.000	840.000	3:1	3.000	Hard 3L 1s
					10\33	363.636	836.364	10:3	3.333
				7\23		365.217	834.783	7:2	3.500
					11\36	366.667	833.333	11:3	3.667
			4\13			369.231	830.769	4:1	4.000	Superhard 3L 1s
					9\29	372.414	827.586	9:2	4.500	Sephiroth
				5\16		375.000	825.000	5:1	5.000
					6\19	378.947	821.053	6:1	6.000	Magic ↓
1\3						400.000	800.000	1:0	→ ∞	Collapsed 3L 1s