5L 8s

↖ 4L 7s	↑ 5L 7s	6L 7s ↗
← 4L 8s	5L 8s	6L 8s →
↙ 4L 9s	↓ 5L 9s	6L 9s ↘

┌╥┬╥┬┬╥┬╥┬┬╥┬┬┐ │║│║││║│║││║│││ │││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LsLssLsLssLss ssLssLsLssLsL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	5\13 to 2\5 (461.5 ¢ to 480.0 ¢)
Dark	3\5 to 8\13 (720.0 ¢ to 738.5 ¢)
TAMNAMS information
Related to	5L 3s (oneirotonic)
With tunings	2:1 to 1:0 (hard-of-basic)
Related MOS scales
Parent	5L 3s
Sister	8L 5s
Daughters	13L 5s, 5L 13s
Neutralized	10L 3s
2-Flought	18L 8s, 5L 21s
Equal tunings
Equalized (L:s = 1:1)	5\13 (461.5 ¢)
Supersoft (L:s = 4:3)	17\44 (463.6 ¢)
Soft (L:s = 3:2)	12\31 (464.5 ¢)
Semisoft (L:s = 5:3)	19\49 (465.3 ¢)
Basic (L:s = 2:1)	7\18 (466.7 ¢)
Semihard (L:s = 5:2)	16\41 (468.3 ¢)
Hard (L:s = 3:1)	9\23 (469.6 ¢)
Superhard (L:s = 4:1)	11\28 (471.4 ¢)
Collapsed (L:s = 1:0)	2\5 (480.0 ¢)

5L 8s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 5 large steps and 8 small steps, repeating every octave. 5L 8s is a child scale of 5L 3s, expanding it by 5 tones. Generators that produce this scale range from 461.5 ¢ to 480 ¢, or from 720 ¢ to 738.5 ¢.

5L 8s represents the chromatic scales of Semisept, A-Team and Vulture temperaments.

Modes

Modes of 5L 8s

UDP	Cyclic order	Step pattern
12|0	1	LsLssLsLssLss
11|1	6	LsLssLssLsLss
10|2	11	LssLsLssLsLss
9|3	3	LssLsLssLssLs
8|4	8	LssLssLsLssLs
7|5	13	sLsLssLsLssLs
6|6	5	sLsLssLssLsLs
5|7	10	sLssLsLssLsLs
4|8	2	sLssLsLssLssL
3|9	7	sLssLssLsLssL
2|10	12	ssLsLssLsLssL
1|11	4	ssLsLssLssLsL
0|12	9	ssLssLsLssLsL

Intervals

Intervals of 5L 8s

Intervals			Steps subtended	Range in cents
Generic	Specific	Abbrev.
0-mosstep	Perfect 0-mosstep	P0ms	0	0.0 ¢
1-mosstep	Minor 1-mosstep	m1ms	s	0.0 ¢ to 92.3 ¢
	Major 1-mosstep	M1ms	L	92.3 ¢ to 240.0 ¢
2-mosstep	Minor 2-mosstep	m2ms	2s	0.0 ¢ to 184.6 ¢
	Major 2-mosstep	M2ms	L + s	184.6 ¢ to 240.0 ¢
3-mosstep	Minor 3-mosstep	m3ms	L + 2s	240.0 ¢ to 276.9 ¢
	Major 3-mosstep	M3ms	2L + s	276.9 ¢ to 480.0 ¢
4-mosstep	Minor 4-mosstep	m4ms	L + 3s	240.0 ¢ to 369.2 ¢
	Major 4-mosstep	M4ms	2L + 2s	369.2 ¢ to 480.0 ¢
5-mosstep	Diminished 5-mosstep	d5ms	L + 4s	240.0 ¢ to 461.5 ¢
	Perfect 5-mosstep	P5ms	2L + 3s	461.5 ¢ to 480.0 ¢
6-mosstep	Minor 6-mosstep	m6ms	2L + 4s	480.0 ¢ to 553.8 ¢
	Major 6-mosstep	M6ms	3L + 3s	553.8 ¢ to 720.0 ¢
7-mosstep	Minor 7-mosstep	m7ms	2L + 5s	480.0 ¢ to 646.2 ¢
	Major 7-mosstep	M7ms	3L + 4s	646.2 ¢ to 720.0 ¢
8-mosstep	Perfect 8-mosstep	P8ms	3L + 5s	720.0 ¢ to 738.5 ¢
	Augmented 8-mosstep	A8ms	4L + 4s	738.5 ¢ to 960.0 ¢
9-mosstep	Minor 9-mosstep	m9ms	3L + 6s	720.0 ¢ to 830.8 ¢
	Major 9-mosstep	M9ms	4L + 5s	830.8 ¢ to 960.0 ¢
10-mosstep	Minor 10-mosstep	m10ms	3L + 7s	720.0 ¢ to 923.1 ¢
	Major 10-mosstep	M10ms	4L + 6s	923.1 ¢ to 960.0 ¢
11-mosstep	Minor 11-mosstep	m11ms	4L + 7s	960.0 ¢ to 1015.4 ¢
	Major 11-mosstep	M11ms	5L + 6s	1015.4 ¢ to 1200.0 ¢
12-mosstep	Minor 12-mosstep	m12ms	4L + 8s	960.0 ¢ to 1107.7 ¢
	Major 12-mosstep	M12ms	5L + 7s	1107.7 ¢ to 1200.0 ¢
13-mosstep	Perfect 13-mosstep	P13ms	5L + 8s	1200.0 ¢