13L 3s

↖ 12L 2s	↑ 13L 2s	14L 2s ↗
← 12L 3s	13L 3s	14L 3s →
↙ 12L 4s	↓ 13L 4s	14L 4s ↘

┌╥╥╥╥╥┬╥╥╥╥┬╥╥╥╥┬┐ │║║║║║│║║║║│║║║║││ ││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LLLLLsLLLLsLLLLs sLLLLsLLLLsLLLLL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	11\16 to 9\13 (825.0 ¢ to 830.8 ¢)
Dark	4\13 to 5\16 (369.2 ¢ to 375.0 ¢)
TAMNAMS information
Related to	3L 7s (sephiroid)
With tunings	2:1 to 3:1 (hypohard)
Related MOS scales
Parent	3L 10s
Sister	3L 13s
Daughters	16L 13s, 13L 16s
Neutralized	10L 6s
2-Flought	29L 3s, 13L 19s
Equal tunings
Equalized (L:s = 1:1)	11\16 (825.0 ¢)
Supersoft (L:s = 4:3)	42\61 (826.2 ¢)
Soft (L:s = 3:2)	31\45 (826.7 ¢)
Semisoft (L:s = 5:3)	51\74 (827.0 ¢)
Basic (L:s = 2:1)	20\29 (827.6 ¢)
Semihard (L:s = 5:2)	49\71 (828.2 ¢)
Hard (L:s = 3:1)	29\42 (828.6 ¢)
Superhard (L:s = 4:1)	38\55 (829.1 ¢)
Collapsed (L:s = 1:0)	9\13 (830.8 ¢)

13L 3s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 13 large steps and 3 small steps, repeating every octave. 13L 3s is a grandchild scale of 3L 7s, expanding it by 6 tones. Generators that produce this scale range from 825 ¢ to 830.8 ¢, or from 369.2 ¢ to 375 ¢.

Modes

Modes of 13L 3s

UDP	Cyclic order	Step pattern
15|0	1	LLLLLsLLLLsLLLLs
14|1	12	LLLLsLLLLLsLLLLs
13|2	7	LLLLsLLLLsLLLLLs
12|3	2	LLLLsLLLLsLLLLsL
11|4	13	LLLsLLLLLsLLLLsL
10|5	8	LLLsLLLLsLLLLLsL
9|6	3	LLLsLLLLsLLLLsLL
8|7	14	LLsLLLLLsLLLLsLL
7|8	9	LLsLLLLsLLLLLsLL
6|9	4	LLsLLLLsLLLLsLLL
5|10	15	LsLLLLLsLLLLsLLL
4|11	10	LsLLLLsLLLLLsLLL
3|12	5	LsLLLLsLLLLsLLLL
2|13	16	sLLLLLsLLLLsLLLL
1|14	11	sLLLLsLLLLLsLLLL
0|15	6	sLLLLsLLLLsLLLLL