7L 13s

↖ 6L 12s	↑ 7L 12s	8L 12s ↗
← 6L 13s	7L 13s	8L 13s →
↙ 6L 14s	↓ 7L 14s	8L 14s ↘

┌╥┬╥┬┬╥┬┬╥┬┬╥┬┬╥┬┬╥┬┬┐ │║│║││║││║││║││║││║│││ ││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LsLssLssLssLssLssLss ssLssLssLssLssLssLsL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	17\20 to 6\7 (1020.0 ¢ to 1028.6 ¢)
Dark	1\7 to 3\20 (171.4 ¢ to 180.0 ¢)
TAMNAMS information
Related to	6L 1s (archaeotonic)
With tunings	1:1 to 3:2 (soft)
Related MOS scales
Parent	7L 6s
Sister	13L 7s
Daughters	20L 7s, 7L 20s
Neutralized	14L 6s
2-Flought	27L 13s, 7L 33s
Equal tunings
Equalized (L:s = 1:1)	17\20 (1020.0 ¢)
Supersoft (L:s = 4:3)	57\67 (1020.9 ¢)
Soft (L:s = 3:2)	40\47 (1021.3 ¢)
Semisoft (L:s = 5:3)	63\74 (1021.6 ¢)
Basic (L:s = 2:1)	23\27 (1022.2 ¢)
Semihard (L:s = 5:2)	52\61 (1023.0 ¢)
Hard (L:s = 3:1)	29\34 (1023.5 ¢)
Superhard (L:s = 4:1)	35\41 (1024.4 ¢)
Collapsed (L:s = 1:0)	6\7 (1028.6 ¢)

7L 13s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 7 large steps and 13 small steps, repeating every octave. 7L 13s is a grandchild scale of 6L 1s, expanding it by 13 tones. Generators that produce this scale range from 1020 ¢ to 1028.6 ¢, or from 171.4 ¢ to 180 ¢.

Modes

Modes of 7L 13s

UDP	Cyclic order	Step pattern
19|0	1	LsLssLssLssLssLssLss
18|1	18	LssLsLssLssLssLssLss
17|2	15	LssLssLsLssLssLssLss
16|3	12	LssLssLssLsLssLssLss
15|4	9	LssLssLssLssLsLssLss
14|5	6	LssLssLssLssLssLsLss
13|6	3	LssLssLssLssLssLssLs
12|7	20	sLsLssLssLssLssLssLs
11|8	17	sLssLsLssLssLssLssLs
10|9	14	sLssLssLsLssLssLssLs
9|10	11	sLssLssLssLsLssLssLs
8|11	8	sLssLssLssLssLsLssLs
7|12	5	sLssLssLssLssLssLsLs
6|13	2	sLssLssLssLssLssLssL
5|14	19	ssLsLssLssLssLssLssL
4|15	16	ssLssLsLssLssLssLssL
3|16	13	ssLssLssLsLssLssLssL
2|17	10	ssLssLssLssLsLssLssL
1|18	7	ssLssLssLssLssLsLssL
0|19	4	ssLssLssLssLssLssLsL

Tuning spectrum

Tetracot / enipucrop range. See also 7L 6s 7L 13s and 13L 7s.

generator								L	s	L/s	gen (cents)	comment
1\7								1	0		171.429
							10\69	8	1	8.000	173.913
						9\62		7	1	7.000	174.194	^ Enipucrop
					8\55			6	1	6.000	174.545
						15\103		11	2	5.500	174.757
				7\48				5	1	5.000	175.000
					13\89			9	2	4.500	175.281	Sesquiquartififths
			6\41					4	1	4.000	175.610	Monkey
					17\116			11	3	3.667	175.862	Bunya
				11\75				7	2	3.500	176.000
					16\109			10	3	3.333	176.147	Tetracot
		5\34						3	1	3.000	176.471
				14\95				8	3	2.667	176.842	Modus
			9\61					5	2	2.500	177.049
				13\88				7	3	2.333	177.273	Ponens
					17\115			9	4	2.250	177.391	Wollemia
	4\27							2	1	2.000	177.778
				15\101				7	4	1.750	178.218
			11\74					5	3	1.667	178.378
		7\47						3	2	1.500	178.723
				17\114				7	5	1.400	178.947
			10\67					4	3	1.333	179.104
				13\87				5	4	1.250	179.310
					16\107			6	5	1.200	179.439
						19\127		7	6	1.167	179.528
							22\147	8	7	1.143	179.591
3\20								1	1	1.000	180.000