11L 3s

↖ 10L 2s	↑ 11L 2s	12L 2s ↗
← 10L 3s	11L 3s	12L 3s →
↙ 10L 4s	↓ 11L 4s	12L 4s ↘

┌╥╥╥╥┬╥╥╥╥┬╥╥╥┬┐ │║║║║│║║║║│║║║││ ││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LLLLsLLLLsLLLs sLLLsLLLLsLLLL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	5\14 to 4\11 (428.6 ¢ to 436.4 ¢)
Dark	7\11 to 9\14 (763.6 ¢ to 771.4 ¢)
TAMNAMS information
Related to	3L 5s (checkertonic)
With tunings	2:1 to 3:1 (hypohard)
Related MOS scales
Parent	3L 8s
Sister	3L 11s
Daughters	14L 11s, 11L 14s
Neutralized	8L 6s
2-Flought	25L 3s, 11L 17s
Equal tunings
Equalized (L:s = 1:1)	5\14 (428.6 ¢)
Supersoft (L:s = 4:3)	19\53 (430.2 ¢)
Soft (L:s = 3:2)	14\39 (430.8 ¢)
Semisoft (L:s = 5:3)	23\64 (431.2 ¢)
Basic (L:s = 2:1)	9\25 (432.0 ¢)
Semihard (L:s = 5:2)	22\61 (432.8 ¢)
Hard (L:s = 3:1)	13\36 (433.3 ¢)
Superhard (L:s = 4:1)	17\47 (434.0 ¢)
Collapsed (L:s = 1:0)	4\11 (436.4 ¢)

11L 3s, also called the Ketradektriatoh scale, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 11 large steps and 3 small steps, repeating every octave. 11L 3s is a grandchild scale of 3L 5s, expanding it by 6 tones. Generators that produce this scale range from 428.6 ¢ to 436.4 ¢, or from 763.6 ¢ to 771.4 ¢. This scale was named the "Ketradektriatoh scale" by Osmiorisbendi‎.

Modes

Modes of 11L 3s

UDP	Cyclic order	Step pattern
13|0	1	LLLLsLLLLsLLLs
12|1	6	LLLLsLLLsLLLLs
11|2	11	LLLsLLLLsLLLLs
10|3	2	LLLsLLLLsLLLsL
9|4	7	LLLsLLLsLLLLsL
8|5	12	LLsLLLLsLLLLsL
7|6	3	LLsLLLLsLLLsLL
6|7	8	LLsLLLsLLLLsLL
5|8	13	LsLLLLsLLLLsLL
4|9	4	LsLLLLsLLLsLLL
3|10	9	LsLLLsLLLLsLLL
2|11	14	sLLLLsLLLLsLLL
1|12	5	sLLLLsLLLsLLLL
0|13	10	sLLLsLLLLsLLLL

Intervals

Intervals of 11L 3s

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 85.7 ¢
	Major 1-mosstep	M1ms	L	85.7 ¢ to 109.1 ¢
2-mosstep	Minor 2-mosstep	m2ms	L + s	109.1 ¢ to 171.4 ¢
	Major 2-mosstep	M2ms	2L	171.4 ¢ to 218.2 ¢
3-mosstep	Minor 3-mosstep	m3ms	2L + s	218.2 ¢ to 257.1 ¢
	Major 3-mosstep	M3ms	3L	257.1 ¢ to 327.3 ¢
4-mosstep	Minor 4-mosstep	m4ms	3L + s	327.3 ¢ to 342.9 ¢
	Major 4-mosstep	M4ms	4L	342.9 ¢ to 436.4 ¢
5-mosstep	Diminished 5-mosstep	d5ms	3L + 2s	327.3 ¢ to 428.6 ¢
	Perfect 5-mosstep	P5ms	4L + s	428.6 ¢ to 436.4 ¢
6-mosstep	Minor 6-mosstep	m6ms	4L + 2s	436.4 ¢ to 514.3 ¢
	Major 6-mosstep	M6ms	5L + s	514.3 ¢ to 545.5 ¢
7-mosstep	Minor 7-mosstep	m7ms	5L + 2s	545.5 ¢ to 600.0 ¢
	Major 7-mosstep	M7ms	6L + s	600.0 ¢ to 654.5 ¢
8-mosstep	Minor 8-mosstep	m8ms	6L + 2s	654.5 ¢ to 685.7 ¢
	Major 8-mosstep	M8ms	7L + s	685.7 ¢ to 763.6 ¢
9-mosstep	Perfect 9-mosstep	P9ms	7L + 2s	763.6 ¢ to 771.4 ¢
	Augmented 9-mosstep	A9ms	8L + s	771.4 ¢ to 872.7 ¢
10-mosstep	Minor 10-mosstep	m10ms	7L + 3s	763.6 ¢ to 857.1 ¢
	Major 10-mosstep	M10ms	8L + 2s	857.1 ¢ to 872.7 ¢
11-mosstep	Minor 11-mosstep	m11ms	8L + 3s	872.7 ¢ to 942.9 ¢
	Major 11-mosstep	M11ms	9L + 2s	942.9 ¢ to 981.8 ¢
12-mosstep	Minor 12-mosstep	m12ms	9L + 3s	981.8 ¢ to 1028.6 ¢
	Major 12-mosstep	M12ms	10L + 2s	1028.6 ¢ to 1090.9 ¢
13-mosstep	Minor 13-mosstep	m13ms	10L + 3s	1090.9 ¢ to 1114.3 ¢
	Major 13-mosstep	M13ms	11L + 2s	1114.3 ¢ to 1200.0 ¢
14-mosstep	Perfect 14-mosstep	P14ms	11L + 3s	1200.0 ¢