8L 4s

↖ 7L 3s	↑ 8L 3s	9L 3s ↗
← 7L 4s	8L 4s	9L 4s →
↙ 7L 5s	↓ 8L 5s	9L 5s ↘

┌╥╥┬╥╥┬╥╥┬╥╥┬┐ │║║│║║│║║│║║││ ││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LLsLLsLLsLLs sLLsLLsLLsLL
Equave	2/1 (1200.0 ¢)
Period	1\4 (300.0 ¢)
Generator size
Bright	1\12 to 1\8 (100.0 ¢ to 150.0 ¢)
Dark	1\8 to 2\12 (150.0 ¢ to 200.0 ¢)
TAMNAMS information
Related to	4L 4s (tetrawood)
With tunings	1:1 to 2:1 (soft-of-basic)
Related MOS scales
Parent	4L 4s
Sister	4L 8s
Daughters	12L 8s, 8L 12s
Neutralized	4L 8s
2-Flought	20L 4s, 8L 16s
Equal tunings
Equalized (L:s = 1:1)	1\12 (100.0 ¢)
Supersoft (L:s = 4:3)	4\44 (109.1 ¢)
Soft (L:s = 3:2)	3\32 (112.5 ¢)
Semisoft (L:s = 5:3)	5\52 (115.4 ¢)
Basic (L:s = 2:1)	2\20 (120.0 ¢)
Semihard (L:s = 5:2)	5\48 (125.0 ¢)
Hard (L:s = 3:1)	3\28 (128.6 ¢)
Superhard (L:s = 4:1)	4\36 (133.3 ¢)
Collapsed (L:s = 1:0)	1\8 (150.0 ¢)

8L 4s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 8 large steps and 4 small steps, with a period of 2 large steps and 1 small step that repeats every 300.0 ¢, or 4 times every octave. 8L 4s is a child scale of 4L 4s, expanding it by 4 tones. Generators that produce this scale range from 100 ¢ to 150 ¢, or from 150 ¢ to 200 ¢. Scales of the true MOS form, where every period is the same, are proper because there is only one small step per period. This is the chromatic scale of Golden diminished temperament.

Modes

Modes of 8L 4s

UDP	Cyclic order	Step pattern
8|0(4)	1	LLsLLsLLsLLs
4|4(4)	2	LsLLsLLsLLsL
0|8(4)	3	sLLsLLsLLsLL