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 ¢.

Intervals

Intervals of 7L 13s

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 60.0 ¢
	Major 1-mosstep	M1ms	L	60.0 ¢ to 171.4 ¢
2-mosstep	Minor 2-mosstep	m2ms	2s	0.0 ¢ to 120.0 ¢
	Major 2-mosstep	M2ms	L + s	120.0 ¢ to 171.4 ¢
3-mosstep	Perfect 3-mosstep	P3ms	L + 2s	171.4 ¢ to 180.0 ¢
	Augmented 3-mosstep	A3ms	2L + s	180.0 ¢ to 342.9 ¢
4-mosstep	Minor 4-mosstep	m4ms	L + 3s	171.4 ¢ to 240.0 ¢
	Major 4-mosstep	M4ms	2L + 2s	240.0 ¢ to 342.9 ¢
5-mosstep	Minor 5-mosstep	m5ms	L + 4s	171.4 ¢ to 300.0 ¢
	Major 5-mosstep	M5ms	2L + 3s	300.0 ¢ to 342.9 ¢
6-mosstep	Minor 6-mosstep	m6ms	2L + 4s	342.9 ¢ to 360.0 ¢
	Major 6-mosstep	M6ms	3L + 3s	360.0 ¢ to 514.3 ¢
7-mosstep	Minor 7-mosstep	m7ms	2L + 5s	342.9 ¢ to 420.0 ¢
	Major 7-mosstep	M7ms	3L + 4s	420.0 ¢ to 514.3 ¢
8-mosstep	Minor 8-mosstep	m8ms	2L + 6s	342.9 ¢ to 480.0 ¢
	Major 8-mosstep	M8ms	3L + 5s	480.0 ¢ to 514.3 ¢
9-mosstep	Minor 9-mosstep	m9ms	3L + 6s	514.3 ¢ to 540.0 ¢
	Major 9-mosstep	M9ms	4L + 5s	540.0 ¢ to 685.7 ¢
10-mosstep	Minor 10-mosstep	m10ms	3L + 7s	514.3 ¢ to 600.0 ¢
	Major 10-mosstep	M10ms	4L + 6s	600.0 ¢ to 685.7 ¢
11-mosstep	Minor 11-mosstep	m11ms	3L + 8s	514.3 ¢ to 660.0 ¢
	Major 11-mosstep	M11ms	4L + 7s	660.0 ¢ to 685.7 ¢
12-mosstep	Minor 12-mosstep	m12ms	4L + 8s	685.7 ¢ to 720.0 ¢
	Major 12-mosstep	M12ms	5L + 7s	720.0 ¢ to 857.1 ¢
13-mosstep	Minor 13-mosstep	m13ms	4L + 9s	685.7 ¢ to 780.0 ¢
	Major 13-mosstep	M13ms	5L + 8s	780.0 ¢ to 857.1 ¢
14-mosstep	Minor 14-mosstep	m14ms	4L + 10s	685.7 ¢ to 840.0 ¢
	Major 14-mosstep	M14ms	5L + 9s	840.0 ¢ to 857.1 ¢
15-mosstep	Minor 15-mosstep	m15ms	5L + 10s	857.1 ¢ to 900.0 ¢
	Major 15-mosstep	M15ms	6L + 9s	900.0 ¢ to 1028.6 ¢
16-mosstep	Minor 16-mosstep	m16ms	5L + 11s	857.1 ¢ to 960.0 ¢
	Major 16-mosstep	M16ms	6L + 10s	960.0 ¢ to 1028.6 ¢
17-mosstep	Diminished 17-mosstep	d17ms	5L + 12s	857.1 ¢ to 1020.0 ¢
	Perfect 17-mosstep	P17ms	6L + 11s	1020.0 ¢ to 1028.6 ¢
18-mosstep	Minor 18-mosstep	m18ms	6L + 12s	1028.6 ¢ to 1080.0 ¢
	Major 18-mosstep	M18ms	7L + 11s	1080.0 ¢ to 1200.0 ¢
19-mosstep	Minor 19-mosstep	m19ms	6L + 13s	1028.6 ¢ to 1140.0 ¢
	Major 19-mosstep	M19ms	7L + 12s	1140.0 ¢ to 1200.0 ¢
20-mosstep	Perfect 20-mosstep	P20ms	7L + 13s	1200.0 ¢

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

Todo: review Review entries from past page revision and enter them into the scale tree.

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

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