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.

Modes

Scale degrees of the modes of 3L 1s

UDP	Cyclic order	Step pattern	Scale degree (mosdegree)
			0	1	2	3	4
3|0	1	LLLs	Perf.	Perf.	Maj.	Aug.	Perf.
2|1	2	LLsL	Perf.	Perf.	Maj.	Perf.	Perf.
1|2	3	LsLL	Perf.	Perf.	Min.	Perf.	Perf.
0|3	4	sLLL	Perf.	Dim.	Min.	Perf.	Perf.

Scale tree

Generator ranges:

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