13L 14s

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← 12L 14s	13L 14s	14L 14s →
↙ 12L 15s	↓ 13L 15s	14L 15s ↘

┌╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬┬┐ │║│║│║│║│║│║│║│║│║│║│║│║│║│││ │││││││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LsLsLsLsLsLsLsLsLsLsLsLsLss ssLsLsLsLsLsLsLsLsLsLsLsLsL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	2\27 to 1\13 (88.9 ¢ to 92.3 ¢)
Dark	12\13 to 25\27 (1107.7 ¢ to 1111.1 ¢)
TAMNAMS information
Related to	1L 9s (antisinatonic)
With tunings	4:1 to 9:2
Related MOS scales
Parent	13L 1s
Sister	14L 13s
Daughters	27L 13s, 13L 27s
Neutralized	26L 1s
2-Flought	40L 14s, 13L 41s
Equal tunings
Equalized (L:s = 1:1)	2\27 (88.9 ¢)
Supersoft (L:s = 4:3)	7\94 (89.4 ¢)
Soft (L:s = 3:2)	5\67 (89.6 ¢)
Semisoft (L:s = 5:3)	8\107 (89.7 ¢)
Basic (L:s = 2:1)	3\40 (90.0 ¢)
Semihard (L:s = 5:2)	7\93 (90.3 ¢)
Hard (L:s = 3:1)	4\53 (90.6 ¢)
Superhard (L:s = 4:1)	5\66 (90.9 ¢)
Collapsed (L:s = 1:0)	1\13 (92.3 ¢)

13L 14s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 13 large steps and 14 small steps, repeating every octave. 13L 14s is related to 1L 9s, expanding it by 17 tones. Generators that produce this scale range from 88.9 ¢ to 92.3 ¢, or from 1107.7 ¢ to 1111.1 ¢.

Modes

Modes of 13L 14s

UDP	Cyclic order	Step pattern
26|0	1	LsLsLsLsLsLsLsLsLsLsLsLsLss
25|1	3	LsLsLsLsLsLsLsLsLsLsLsLssLs
24|2	5	LsLsLsLsLsLsLsLsLsLsLssLsLs
23|3	7	LsLsLsLsLsLsLsLsLsLssLsLsLs
22|4	9	LsLsLsLsLsLsLsLsLssLsLsLsLs
21|5	11	LsLsLsLsLsLsLsLssLsLsLsLsLs
20|6	13	LsLsLsLsLsLsLssLsLsLsLsLsLs
19|7	15	LsLsLsLsLsLssLsLsLsLsLsLsLs
18|8	17	LsLsLsLsLssLsLsLsLsLsLsLsLs
17|9	19	LsLsLsLssLsLsLsLsLsLsLsLsLs
16|10	21	LsLsLssLsLsLsLsLsLsLsLsLsLs
15|11	23	LsLssLsLsLsLsLsLsLsLsLsLsLs
14|12	25	LssLsLsLsLsLsLsLsLsLsLsLsLs
13|13	27	sLsLsLsLsLsLsLsLsLsLsLsLsLs
12|14	2	sLsLsLsLsLsLsLsLsLsLsLsLssL
11|15	4	sLsLsLsLsLsLsLsLsLsLsLssLsL
10|16	6	sLsLsLsLsLsLsLsLsLsLssLsLsL
9|17	8	sLsLsLsLsLsLsLsLsLssLsLsLsL
8|18	10	sLsLsLsLsLsLsLsLssLsLsLsLsL
7|19	12	sLsLsLsLsLsLsLssLsLsLsLsLsL
6|20	14	sLsLsLsLsLsLssLsLsLsLsLsLsL
5|21	16	sLsLsLsLsLssLsLsLsLsLsLsLsL
4|22	18	sLsLsLsLssLsLsLsLsLsLsLsLsL
3|23	20	sLsLsLssLsLsLsLsLsLsLsLsLsL
2|24	22	sLsLssLsLsLsLsLsLsLsLsLsLsL
1|25	24	sLssLsLsLsLsLsLsLsLsLsLsLsL
0|26	26	ssLsLsLsLsLsLsLsLsLsLsLsLsL

Intervals

Intervals of 13L 14s

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 44.4 ¢
	Major 1-mosstep	M1ms	L	44.4 ¢ to 92.3 ¢
2-mosstep	Diminished 2-mosstep	d2ms	2s	0.0 ¢ to 88.9 ¢
	Perfect 2-mosstep	P2ms	L + s	88.9 ¢ to 92.3 ¢
3-mosstep	Minor 3-mosstep	m3ms	L + 2s	92.3 ¢ to 133.3 ¢
	Major 3-mosstep	M3ms	2L + s	133.3 ¢ to 184.6 ¢
4-mosstep	Minor 4-mosstep	m4ms	L + 3s	92.3 ¢ to 177.8 ¢
	Major 4-mosstep	M4ms	2L + 2s	177.8 ¢ to 184.6 ¢
5-mosstep	Minor 5-mosstep	m5ms	2L + 3s	184.6 ¢ to 222.2 ¢
	Major 5-mosstep	M5ms	3L + 2s	222.2 ¢ to 276.9 ¢
6-mosstep	Minor 6-mosstep	m6ms	2L + 4s	184.6 ¢ to 266.7 ¢
	Major 6-mosstep	M6ms	3L + 3s	266.7 ¢ to 276.9 ¢
7-mosstep	Minor 7-mosstep	m7ms	3L + 4s	276.9 ¢ to 311.1 ¢
	Major 7-mosstep	M7ms	4L + 3s	311.1 ¢ to 369.2 ¢
8-mosstep	Minor 8-mosstep	m8ms	3L + 5s	276.9 ¢ to 355.6 ¢
	Major 8-mosstep	M8ms	4L + 4s	355.6 ¢ to 369.2 ¢
9-mosstep	Minor 9-mosstep	m9ms	4L + 5s	369.2 ¢ to 400.0 ¢
	Major 9-mosstep	M9ms	5L + 4s	400.0 ¢ to 461.5 ¢
10-mosstep	Minor 10-mosstep	m10ms	4L + 6s	369.2 ¢ to 444.4 ¢
	Major 10-mosstep	M10ms	5L + 5s	444.4 ¢ to 461.5 ¢
11-mosstep	Minor 11-mosstep	m11ms	5L + 6s	461.5 ¢ to 488.9 ¢
	Major 11-mosstep	M11ms	6L + 5s	488.9 ¢ to 553.8 ¢
12-mosstep	Minor 12-mosstep	m12ms	5L + 7s	461.5 ¢ to 533.3 ¢
	Major 12-mosstep	M12ms	6L + 6s	533.3 ¢ to 553.8 ¢
13-mosstep	Minor 13-mosstep	m13ms	6L + 7s	553.8 ¢ to 577.8 ¢
	Major 13-mosstep	M13ms	7L + 6s	577.8 ¢ to 646.2 ¢
14-mosstep	Minor 14-mosstep	m14ms	6L + 8s	553.8 ¢ to 622.2 ¢
	Major 14-mosstep	M14ms	7L + 7s	622.2 ¢ to 646.2 ¢
15-mosstep	Minor 15-mosstep	m15ms	7L + 8s	646.2 ¢ to 666.7 ¢
	Major 15-mosstep	M15ms	8L + 7s	666.7 ¢ to 738.5 ¢
16-mosstep	Minor 16-mosstep	m16ms	7L + 9s	646.2 ¢ to 711.1 ¢
	Major 16-mosstep	M16ms	8L + 8s	711.1 ¢ to 738.5 ¢
17-mosstep	Minor 17-mosstep	m17ms	8L + 9s	738.5 ¢ to 755.6 ¢
	Major 17-mosstep	M17ms	9L + 8s	755.6 ¢ to 830.8 ¢
18-mosstep	Minor 18-mosstep	m18ms	8L + 10s	738.5 ¢ to 800.0 ¢
	Major 18-mosstep	M18ms	9L + 9s	800.0 ¢ to 830.8 ¢
19-mosstep	Minor 19-mosstep	m19ms	9L + 10s	830.8 ¢ to 844.4 ¢
	Major 19-mosstep	M19ms	10L + 9s	844.4 ¢ to 923.1 ¢
20-mosstep	Minor 20-mosstep	m20ms	9L + 11s	830.8 ¢ to 888.9 ¢
	Major 20-mosstep	M20ms	10L + 10s	888.9 ¢ to 923.1 ¢
21-mosstep	Minor 21-mosstep	m21ms	10L + 11s	923.1 ¢ to 933.3 ¢
	Major 21-mosstep	M21ms	11L + 10s	933.3 ¢ to 1015.4 ¢
22-mosstep	Minor 22-mosstep	m22ms	10L + 12s	923.1 ¢ to 977.8 ¢
	Major 22-mosstep	M22ms	11L + 11s	977.8 ¢ to 1015.4 ¢
23-mosstep	Minor 23-mosstep	m23ms	11L + 12s	1015.4 ¢ to 1022.2 ¢
	Major 23-mosstep	M23ms	12L + 11s	1022.2 ¢ to 1107.7 ¢
24-mosstep	Minor 24-mosstep	m24ms	11L + 13s	1015.4 ¢ to 1066.7 ¢
	Major 24-mosstep	M24ms	12L + 12s	1066.7 ¢ to 1107.7 ¢
25-mosstep	Perfect 25-mosstep	P25ms	12L + 13s	1107.7 ¢ to 1111.1 ¢
	Augmented 25-mosstep	A25ms	13L + 12s	1111.1 ¢ to 1200.0 ¢
26-mosstep	Minor 26-mosstep	m26ms	12L + 14s	1107.7 ¢ to 1155.6 ¢
	Major 26-mosstep	M26ms	13L + 13s	1155.6 ¢ to 1200.0 ¢
27-mosstep	Perfect 27-mosstep	P27ms	13L + 14s	1200.0 ¢

Scale tree

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