5L 6s

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

┌╥┬╥┬╥┬╥┬╥┬┬┐ │║│║│║│║│║│││ │││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LsLsLsLsLss ssLsLsLsLsL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	2\11 to 1\5 (218.2 ¢ to 240.0 ¢)
Dark	4\5 to 9\11 (960.0 ¢ to 981.8 ¢)
TAMNAMS information
Related to	5L 1s (machinoid)
With tunings	2:1 to 1:0 (hard-of-basic)
Related MOS scales
Parent	5L 1s
Sister	6L 5s
Daughters	11L 5s, 5L 11s
Neutralized	10L 1s
2-Flought	16L 6s, 5L 17s
Equal tunings
Equalized (L:s = 1:1)	2\11 (218.2 ¢)
Supersoft (L:s = 4:3)	7\38 (221.1 ¢)
Soft (L:s = 3:2)	5\27 (222.2 ¢)
Semisoft (L:s = 5:3)	8\43 (223.3 ¢)
Basic (L:s = 2:1)	3\16 (225.0 ¢)
Semihard (L:s = 5:2)	7\37 (227.0 ¢)
Hard (L:s = 3:1)	4\21 (228.6 ¢)
Superhard (L:s = 4:1)	5\26 (230.8 ¢)
Collapsed (L:s = 1:0)	1\5 (240.0 ¢)

5L 6s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 5 large steps and 6 small steps, repeating every octave. 5L 6s is a child scale of 5L 1s, expanding it by 5 tones. Generators that produce this scale range from 218.2 ¢ to 240 ¢, or from 960 ¢ to 981.8 ¢. This pattern has multiple significant harmonic entropy minima, but they are all improper. The only saving grace for it is that is has harmonic entropy minima where the ratio between the large and small steps is optimal for melody, and that the generator for these scales is less than 6 cents flat of 8/7. The saving grace of the more lopsided scales is that a syntonic fifth is three generators up from the root. The name for this MOS pattern is p-chro machinoid.

Intervals of 5L 6s

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 109.1 ¢
	Major 1-mosstep	M1ms	L	109.1 ¢ to 240.0 ¢
2-mosstep	Diminished 2-mosstep	d2ms	2s	0.0 ¢ to 218.2 ¢
	Perfect 2-mosstep	P2ms	L + s	218.2 ¢ to 240.0 ¢
3-mosstep	Minor 3-mosstep	m3ms	L + 2s	240.0 ¢ to 327.3 ¢
	Major 3-mosstep	M3ms	2L + s	327.3 ¢ to 480.0 ¢
4-mosstep	Minor 4-mosstep	m4ms	L + 3s	240.0 ¢ to 436.4 ¢
	Major 4-mosstep	M4ms	2L + 2s	436.4 ¢ to 480.0 ¢
5-mosstep	Minor 5-mosstep	m5ms	2L + 3s	480.0 ¢ to 545.5 ¢
	Major 5-mosstep	M5ms	3L + 2s	545.5 ¢ to 720.0 ¢
6-mosstep	Minor 6-mosstep	m6ms	2L + 4s	480.0 ¢ to 654.5 ¢
	Major 6-mosstep	M6ms	3L + 3s	654.5 ¢ to 720.0 ¢
7-mosstep	Minor 7-mosstep	m7ms	3L + 4s	720.0 ¢ to 763.6 ¢
	Major 7-mosstep	M7ms	4L + 3s	763.6 ¢ to 960.0 ¢
8-mosstep	Minor 8-mosstep	m8ms	3L + 5s	720.0 ¢ to 872.7 ¢
	Major 8-mosstep	M8ms	4L + 4s	872.7 ¢ to 960.0 ¢
9-mosstep	Perfect 9-mosstep	P9ms	4L + 5s	960.0 ¢ to 981.8 ¢
	Augmented 9-mosstep	A9ms	5L + 4s	981.8 ¢ to 1200.0 ¢
10-mosstep	Minor 10-mosstep	m10ms	4L + 6s	960.0 ¢ to 1090.9 ¢
	Major 10-mosstep	M10ms	5L + 5s	1090.9 ¢ to 1200.0 ¢
11-mosstep	Perfect 11-mosstep	P11ms	5L + 6s	1200.0 ¢

Modes

Scale degrees of the modes of 5L 6s

UDP	Cyclic order	Step pattern	Scale degree (mosdegree)
			0	1	2	3	4	5	6	7	8	9	10	11
10|0	1	LsLsLsLsLss	Perf.	Maj.	Perf.	Maj.	Maj.	Maj.	Maj.	Maj.	Maj.	Aug.	Maj.	Perf.
9|1	3	LsLsLsLssLs	Perf.	Maj.	Perf.	Maj.	Maj.	Maj.	Maj.	Maj.	Maj.	Perf.	Maj.	Perf.
8|2	5	LsLsLssLsLs	Perf.	Maj.	Perf.	Maj.	Maj.	Maj.	Maj.	Min.	Maj.	Perf.	Maj.	Perf.
7|3	7	LsLssLsLsLs	Perf.	Maj.	Perf.	Maj.	Maj.	Min.	Maj.	Min.	Maj.	Perf.	Maj.	Perf.
6|4	9	LssLsLsLsLs	Perf.	Maj.	Perf.	Min.	Maj.	Min.	Maj.	Min.	Maj.	Perf.	Maj.	Perf.
5|5	11	sLsLsLsLsLs	Perf.	Min.	Perf.	Min.	Maj.	Min.	Maj.	Min.	Maj.	Perf.	Maj.	Perf.
4|6	2	sLsLsLsLssL	Perf.	Min.	Perf.	Min.	Maj.	Min.	Maj.	Min.	Maj.	Perf.	Min.	Perf.
3|7	4	sLsLsLssLsL	Perf.	Min.	Perf.	Min.	Maj.	Min.	Maj.	Min.	Min.	Perf.	Min.	Perf.
2|8	6	sLsLssLsLsL	Perf.	Min.	Perf.	Min.	Maj.	Min.	Min.	Min.	Min.	Perf.	Min.	Perf.
1|9	8	sLssLsLsLsL	Perf.	Min.	Perf.	Min.	Min.	Min.	Min.	Min.	Min.	Perf.	Min.	Perf.
0|10	10	ssLsLsLsLsL	Perf.	Min.	Dim.	Min.	Min.	Min.	Min.	Min.	Min.	Perf.	Min.	Perf.