5L 11s

↖ 4L 10s	↑ 5L 10s	6L 10s ↗
← 4L 11s	5L 11s	6L 11s →
↙ 4L 12s	↓ 5L 12s	6L 12s ↘

┌╥┬┬╥┬┬╥┬┬╥┬┬╥┬┬┬┐ │║││║││║││║││║││││ ││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LssLssLssLssLsss sssLssLssLssLssL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	3\16 to 1\5 (225.0 ¢ to 240.0 ¢)
Dark	4\5 to 13\16 (960.0 ¢ to 975.0 ¢)
TAMNAMS information
Related to	5L 1s (machinoid)
With tunings	3:1 to 1:0 (hard)
Related MOS scales
Parent	5L 6s
Sister	11L 5s
Daughters	16L 5s, 5L 16s
Neutralized	10L 6s
2-Flought	21L 11s, 5L 27s
Equal tunings
Equalized (L:s = 1:1)	3\16 (225.0 ¢)
Supersoft (L:s = 4:3)	10\53 (226.4 ¢)
Soft (L:s = 3:2)	7\37 (227.0 ¢)
Semisoft (L:s = 5:3)	11\58 (227.6 ¢)
Basic (L:s = 2:1)	4\21 (228.6 ¢)
Semihard (L:s = 5:2)	9\47 (229.8 ¢)
Hard (L:s = 3:1)	5\26 (230.8 ¢)
Superhard (L:s = 4:1)	6\31 (232.3 ¢)
Collapsed (L:s = 1:0)	1\5 (240.0 ¢)

5L 11s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 5 large steps and 11 small steps, repeating every octave. 5L 11s is a grandchild scale of 5L 1s, expanding it by 10 tones. Generators that produce this scale range from 225 ¢ to 240 ¢, or from 960 ¢ to 975 ¢.

This MOS has a large "diatonic" whole tone of 3/16edo (225) to 1/5edo (240 cents) as a generator. Converging to 5edo as it becomes ever more improper, it moves from Gorgo into Slendric (the 2.3.7 temperament which tempers out the gamelisma of 1029/1024).

Modes

Modes of 5L 11s

UDP	Cyclic order	Step pattern
15|0	1	LssLssLssLssLsss
14|1	4	LssLssLssLsssLss
13|2	7	LssLssLsssLssLss
12|3	10	LssLsssLssLssLss
11|4	13	LsssLssLssLssLss
10|5	16	sLssLssLssLssLss
9|6	3	sLssLssLssLsssLs
8|7	6	sLssLssLsssLssLs
7|8	9	sLssLsssLssLssLs
6|9	12	sLsssLssLssLssLs
5|10	15	ssLssLssLssLssLs
4|11	2	ssLssLssLssLsssL
3|12	5	ssLssLssLsssLssL
2|13	8	ssLssLsssLssLssL
1|14	11	ssLsssLssLssLssL
0|15	14	sssLssLssLssLssL

Intervals

Intervals of 5L 11s

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 75.0 ¢
	Major 1-mosstep	M1ms	L	75.0 ¢ to 240.0 ¢
2-mosstep	Minor 2-mosstep	m2ms	2s	0.0 ¢ to 150.0 ¢
	Major 2-mosstep	M2ms	L + s	150.0 ¢ to 240.0 ¢
3-mosstep	Diminished 3-mosstep	d3ms	3s	0.0 ¢ to 225.0 ¢
	Perfect 3-mosstep	P3ms	L + 2s	225.0 ¢ to 240.0 ¢
4-mosstep	Minor 4-mosstep	m4ms	L + 3s	240.0 ¢ to 300.0 ¢
	Major 4-mosstep	M4ms	2L + 2s	300.0 ¢ to 480.0 ¢
5-mosstep	Minor 5-mosstep	m5ms	L + 4s	240.0 ¢ to 375.0 ¢
	Major 5-mosstep	M5ms	2L + 3s	375.0 ¢ to 480.0 ¢
6-mosstep	Minor 6-mosstep	m6ms	L + 5s	240.0 ¢ to 450.0 ¢
	Major 6-mosstep	M6ms	2L + 4s	450.0 ¢ to 480.0 ¢
7-mosstep	Minor 7-mosstep	m7ms	2L + 5s	480.0 ¢ to 525.0 ¢
	Major 7-mosstep	M7ms	3L + 4s	525.0 ¢ to 720.0 ¢
8-mosstep	Minor 8-mosstep	m8ms	2L + 6s	480.0 ¢ to 600.0 ¢
	Major 8-mosstep	M8ms	3L + 5s	600.0 ¢ to 720.0 ¢
9-mosstep	Minor 9-mosstep	m9ms	2L + 7s	480.0 ¢ to 675.0 ¢
	Major 9-mosstep	M9ms	3L + 6s	675.0 ¢ to 720.0 ¢
10-mosstep	Minor 10-mosstep	m10ms	3L + 7s	720.0 ¢ to 750.0 ¢
	Major 10-mosstep	M10ms	4L + 6s	750.0 ¢ to 960.0 ¢
11-mosstep	Minor 11-mosstep	m11ms	3L + 8s	720.0 ¢ to 825.0 ¢
	Major 11-mosstep	M11ms	4L + 7s	825.0 ¢ to 960.0 ¢
12-mosstep	Minor 12-mosstep	m12ms	3L + 9s	720.0 ¢ to 900.0 ¢
	Major 12-mosstep	M12ms	4L + 8s	900.0 ¢ to 960.0 ¢
13-mosstep	Perfect 13-mosstep	P13ms	4L + 9s	960.0 ¢ to 975.0 ¢
	Augmented 13-mosstep	A13ms	5L + 8s	975.0 ¢ to 1200.0 ¢
14-mosstep	Minor 14-mosstep	m14ms	4L + 10s	960.0 ¢ to 1050.0 ¢
	Major 14-mosstep	M14ms	5L + 9s	1050.0 ¢ to 1200.0 ¢
15-mosstep	Minor 15-mosstep	m15ms	4L + 11s	960.0 ¢ to 1125.0 ¢
	Major 15-mosstep	M15ms	5L + 10s	1125.0 ¢ to 1200.0 ¢
16-mosstep	Perfect 16-mosstep	P16ms	5L + 11s	1200.0 ¢