5L 13s

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

┌╥┬┬╥┬┬┬╥┬┬╥┬┬┬╥┬┬┬┐ │║││║│││║││║│││║││││ ││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LssLsssLssLsssLsss sssLsssLssLsssLssL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	7\18 to 2\5 (466.7 ¢ to 480.0 ¢)
Dark	3\5 to 11\18 (720.0 ¢ to 733.3 ¢)
TAMNAMS information
Related to	5L 3s (oneirotonic)
With tunings	3:1 to 1:0 (hard)
Related MOS scales
Parent	5L 8s
Sister	13L 5s
Daughters	18L 5s, 5L 18s
Neutralized	10L 8s
2-Flought	23L 13s, 5L 31s
Equal tunings
Equalized (L:s = 1:1)	7\18 (466.7 ¢)
Supersoft (L:s = 4:3)	23\59 (467.8 ¢)
Soft (L:s = 3:2)	16\41 (468.3 ¢)
Semisoft (L:s = 5:3)	25\64 (468.8 ¢)
Basic (L:s = 2:1)	9\23 (469.6 ¢)
Semihard (L:s = 5:2)	20\51 (470.6 ¢)
Hard (L:s = 3:1)	11\28 (471.4 ¢)
Superhard (L:s = 4:1)	13\33 (472.7 ¢)
Collapsed (L:s = 1:0)	2\5 (480.0 ¢)

5L 13s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 5 large steps and 13 small steps, repeating every octave. 5L 13s is a grandchild scale of 5L 3s, expanding it by 10 tones. Generators that produce this scale range from 466.7 ¢ to 480 ¢, or from 720 ¢ to 733.3 ¢.

Modes

Modes of 5L 13s

UDP	Cyclic order	Step pattern
17|0	1	LssLsssLssLsssLsss
16|1	8	LssLsssLsssLssLsss
15|2	15	LsssLssLsssLssLsss
14|3	4	LsssLssLsssLsssLss
13|4	11	LsssLsssLssLsssLss
12|5	18	sLssLsssLssLsssLss
11|6	7	sLssLsssLsssLssLss
10|7	14	sLsssLssLsssLssLss
9|8	3	sLsssLssLsssLsssLs
8|9	10	sLsssLsssLssLsssLs
7|10	17	ssLssLsssLssLsssLs
6|11	6	ssLssLsssLsssLssLs
5|12	13	ssLsssLssLsssLssLs
4|13	2	ssLsssLssLsssLsssL
3|14	9	ssLsssLsssLssLsssL
2|15	16	sssLssLsssLssLsssL
1|16	5	sssLssLsssLsssLssL
0|17	12	sssLsssLssLsssLssL

Scale tree

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