4L 8s

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

┌╥┬┬╥┬┬╥┬┬╥┬┬┐ │║││║││║││║│││ ││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LssLssLssLss ssLssLssLssL
Equave	2/1 (1200.0 ¢)
Period	1\4 (300.0 ¢)
Generator size
Bright	2\12 to 1\4 (200.0 ¢ to 300.0 ¢)
Dark	0\4 to 1\12 (0.0 ¢ to 100.0 ¢)
TAMNAMS information
Related to	4L 4s (tetrawood)
With tunings	2:1 to 1:0 (hard-of-basic)
Related MOS scales
Parent	4L 4s
Sister	8L 4s
Daughters	12L 4s, 4L 12s
Neutralized	8L 4s
2-Flought	16L 8s, 4L 20s
Equal tunings
Equalized (L:s = 1:1)	2\12 (200.0 ¢)
Supersoft (L:s = 4:3)	7\40 (210.0 ¢)
Soft (L:s = 3:2)	5\28 (214.3 ¢)
Semisoft (L:s = 5:3)	8\44 (218.2 ¢)
Basic (L:s = 2:1)	3\16 (225.0 ¢)
Semihard (L:s = 5:2)	7\36 (233.3 ¢)
Hard (L:s = 3:1)	4\20 (240.0 ¢)
Superhard (L:s = 4:1)	5\24 (250.0 ¢)
Collapsed (L:s = 1:0)	1\4 (300.0 ¢)

4L 8s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 4 large steps and 8 small steps, with a period of 1 large step and 2 small steps that repeats every 300.0 ¢, or 4 times every octave. 4L 8s is a child scale of 4L 4s, expanding it by 4 tones. Generators that produce this scale range from 200 ¢ to 300 ¢, or from 0 ¢ to 100 ¢.

This is the minor chromatic scale of Diminished temperament. Its period of 300¢ (~6:5) is divided into L s s, making a universally proper scale, but the harmonic entropy minimum for it is not particularly low. The name for this MOS scale is p-chro tetrawood.

Modes

Modes of 4L 8s

UDP	Cyclic order	Step pattern
8|0(4)	1	LssLssLssLss
4|4(4)	3	sLssLssLssLs
0|8(4)	2	ssLssLssLssL

Intervals

Intervals of 4L 8s

Intervals			Steps subtended	Range in cents
Generic	Specific	Abbrev.
0-mosstep	Perfect 0-mosstep	P0ms	0	0.0 ¢
1-mosstep	Perfect 1-mosstep	P1ms	s	0.0 ¢ to 100.0 ¢
	Augmented 1-mosstep	A1ms	L	100.0 ¢ to 300.0 ¢
2-mosstep	Diminished 2-mosstep	d2ms	2s	0.0 ¢ to 200.0 ¢
	Perfect 2-mosstep	P2ms	L + s	200.0 ¢ to 300.0 ¢
3-mosstep	Perfect 3-mosstep	P3ms	L + 2s	300.0 ¢
4-mosstep	Perfect 4-mosstep	P4ms	L + 3s	300.0 ¢ to 400.0 ¢
	Augmented 4-mosstep	A4ms	2L + 2s	400.0 ¢ to 600.0 ¢
5-mosstep	Diminished 5-mosstep	d5ms	L + 4s	300.0 ¢ to 500.0 ¢
	Perfect 5-mosstep	P5ms	2L + 3s	500.0 ¢ to 600.0 ¢
6-mosstep	Perfect 6-mosstep	P6ms	2L + 4s	600.0 ¢
7-mosstep	Perfect 7-mosstep	P7ms	2L + 5s	600.0 ¢ to 700.0 ¢
	Augmented 7-mosstep	A7ms	3L + 4s	700.0 ¢ to 900.0 ¢
8-mosstep	Diminished 8-mosstep	d8ms	2L + 6s	600.0 ¢ to 800.0 ¢
	Perfect 8-mosstep	P8ms	3L + 5s	800.0 ¢ to 900.0 ¢
9-mosstep	Perfect 9-mosstep	P9ms	3L + 6s	900.0 ¢
10-mosstep	Perfect 10-mosstep	P10ms	3L + 7s	900.0 ¢ to 1000.0 ¢
	Augmented 10-mosstep	A10ms	4L + 6s	1000.0 ¢ to 1200.0 ¢
11-mosstep	Diminished 11-mosstep	d11ms	3L + 8s	900.0 ¢ to 1100.0 ¢
	Perfect 11-mosstep	P11ms	4L + 7s	1100.0 ¢ to 1200.0 ¢
12-mosstep	Perfect 12-mosstep	P12ms	4L + 8s	1200.0 ¢