13L 5s

↖ 12L 4s	↑ 13L 4s	14L 4s ↗
← 12L 5s	13L 5s	14L 5s →
↙ 12L 6s	↓ 13L 6s	14L 6s ↘

┌╥╥╥┬╥╥╥┬╥╥┬╥╥╥┬╥╥┬┐ │║║║│║║║│║║│║║║│║║││ ││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LLLsLLLsLLsLLLsLLs sLLsLLLsLLsLLLsLLL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	11\18 to 8\13 (733.3 ¢ to 738.5 ¢)
Dark	5\13 to 7\18 (461.5 ¢ to 466.7 ¢)
TAMNAMS information
Related to	5L 3s (oneirotonic)
With tunings	2:1 to 3:1 (hypohard)
Related MOS scales
Parent	5L 8s
Sister	5L 13s
Daughters	18L 13s, 13L 18s
Neutralized	8L 10s
2-Flought	31L 5s, 13L 23s
Equal tunings
Equalized (L:s = 1:1)	11\18 (733.3 ¢)
Supersoft (L:s = 4:3)	41\67 (734.3 ¢)
Soft (L:s = 3:2)	30\49 (734.7 ¢)
Semisoft (L:s = 5:3)	49\80 (735.0 ¢)
Basic (L:s = 2:1)	19\31 (735.5 ¢)
Semihard (L:s = 5:2)	46\75 (736.0 ¢)
Hard (L:s = 3:1)	27\44 (736.4 ¢)
Superhard (L:s = 4:1)	35\57 (736.8 ¢)
Collapsed (L:s = 1:0)	8\13 (738.5 ¢)

13L 5s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 13 large steps and 5 small steps, repeating every octave. 13L 5s is a grandchild scale of 5L 3s, expanding it by 10 tones. Generators that produce this scale range from 733.3 ¢ to 738.5 ¢, or from 461.5 ¢ to 466.7 ¢.

Modes

Modes of 13L 5s

UDP	Cyclic order	Step pattern
17|0	1	LLLsLLLsLLsLLLsLLs
16|1	12	LLLsLLsLLLsLLLsLLs
15|2	5	LLLsLLsLLLsLLsLLLs
14|3	16	LLsLLLsLLLsLLsLLLs
13|4	9	LLsLLLsLLsLLLsLLLs
12|5	2	LLsLLLsLLsLLLsLLsL
11|6	13	LLsLLsLLLsLLLsLLsL
10|7	6	LLsLLsLLLsLLsLLLsL
9|8	17	LsLLLsLLLsLLsLLLsL
8|9	10	LsLLLsLLsLLLsLLLsL
7|10	3	LsLLLsLLsLLLsLLsLL
6|11	14	LsLLsLLLsLLLsLLsLL
5|12	7	LsLLsLLLsLLsLLLsLL
4|13	18	sLLLsLLLsLLsLLLsLL
3|14	11	sLLLsLLsLLLsLLLsLL
2|15	4	sLLLsLLsLLLsLLsLLL
1|16	15	sLLsLLLsLLLsLLsLLL
0|17	8	sLLsLLLsLLsLLLsLLL

Scale tree

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