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. It is always proper because it has one small step per period and is generated by its large step of 1\12edo to 1\8edo.

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

Tuning spectrum

1\12			100
5\56			107.143
	9\100		108
4\44			109.091
	7\76		110.526
	10\108		111.111
3\32			112.5
			113.782
	11\116		113.793
	8\84		114.286
			114.59
	5\52		115.385
			116.399
	7\72		116.667
	9\92		117.391
	11\112		117.857
	13\132		118.182
	15\152		118.421
	17\172		118.605
	19\192		118.75
	21\212		118.868
	23\232		118.9655
	25\252		119.048
2\20			120
	13\128		121.125
	11\108		122.222
	9\88		122.727
	7\68		123.529
		12\116	124.137
	5\48		125
			125.946
	8\76		126.316
			126.696
	11\104		126.923
	14\132		127.273
3\28			128.571
			129.405
	16\148		129.73
	13\120		130
	10\92		130.435
	7\64		131.25
	11\100		132
4\36			133.333
	13\116		134.483
	9\80		135
5\44			136.364
1\8			150