14L 13s

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Scale structure
Step pattern	LLsLsLsLsLsLsLsLsLsLsLsLsLs sLsLsLsLsLsLsLsLsLsLsLsLsLL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	25\27 to 13\14 (1111.1 ¢ to 1114.3 ¢)
Dark	1\14 to 2\27 (85.7 ¢ to 88.9 ¢)
TAMNAMS information
Related to	1L 9s (antisinatonic)
With tunings	9:2 to 5:1
Related MOS scales
Parent	13L 1s
Sister	13L 14s
Daughters	27L 14s, 14L 27s
Neutralized	1L 26s
2-Flought	41L 13s, 14L 40s
Equal tunings
Equalized (L:s = 1:1)	25\27 (1111.1 ¢)
Supersoft (L:s = 4:3)	88\95 (1111.6 ¢)
Soft (L:s = 3:2)	63\68 (1111.8 ¢)
Semisoft (L:s = 5:3)	101\109 (1111.9 ¢)
Basic (L:s = 2:1)	38\41 (1112.2 ¢)
Semihard (L:s = 5:2)	89\96 (1112.5 ¢)
Hard (L:s = 3:1)	51\55 (1112.7 ¢)
Superhard (L:s = 4:1)	64\69 (1113.0 ¢)
Collapsed (L:s = 1:0)	13\14 (1114.3 ¢)

14L 13s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 14 large steps and 13 small steps, repeating every octave. 14L 13s is related to 1L 9s, expanding it by 17 tones. Generators that produce this scale range from 1111.1 ¢ to 1114.3 ¢, or from 85.7 ¢ to 88.9 ¢.

The harmonic entropy minimum for this scale has +8 dark generators equal 3/2, which is approximately 41edo.

Modes

Modes of 14L 13s

UDP	Cyclic order	Step pattern
26|0	1	LLsLsLsLsLsLsLsLsLsLsLsLsLs
25|1	26	LsLLsLsLsLsLsLsLsLsLsLsLsLs
24|2	24	LsLsLLsLsLsLsLsLsLsLsLsLsLs
23|3	22	LsLsLsLLsLsLsLsLsLsLsLsLsLs
22|4	20	LsLsLsLsLLsLsLsLsLsLsLsLsLs
21|5	18	LsLsLsLsLsLLsLsLsLsLsLsLsLs
20|6	16	LsLsLsLsLsLsLLsLsLsLsLsLsLs
19|7	14	LsLsLsLsLsLsLsLLsLsLsLsLsLs
18|8	12	LsLsLsLsLsLsLsLsLLsLsLsLsLs
17|9	10	LsLsLsLsLsLsLsLsLsLLsLsLsLs
16|10	8	LsLsLsLsLsLsLsLsLsLsLLsLsLs
15|11	6	LsLsLsLsLsLsLsLsLsLsLsLLsLs
14|12	4	LsLsLsLsLsLsLsLsLsLsLsLsLLs
13|13	2	LsLsLsLsLsLsLsLsLsLsLsLsLsL
12|14	27	sLLsLsLsLsLsLsLsLsLsLsLsLsL
11|15	25	sLsLLsLsLsLsLsLsLsLsLsLsLsL
10|16	23	sLsLsLLsLsLsLsLsLsLsLsLsLsL
9|17	21	sLsLsLsLLsLsLsLsLsLsLsLsLsL
8|18	19	sLsLsLsLsLLsLsLsLsLsLsLsLsL
7|19	17	sLsLsLsLsLsLLsLsLsLsLsLsLsL
6|20	15	sLsLsLsLsLsLsLLsLsLsLsLsLsL
5|21	13	sLsLsLsLsLsLsLsLLsLsLsLsLsL
4|22	11	sLsLsLsLsLsLsLsLsLLsLsLsLsL
3|23	9	sLsLsLsLsLsLsLsLsLsLLsLsLsL
2|24	7	sLsLsLsLsLsLsLsLsLsLsLLsLsL
1|25	5	sLsLsLsLsLsLsLsLsLsLsLsLLsL
0|26	3	sLsLsLsLsLsLsLsLsLsLsLsLsLL

Intervals

Intervals of 14L 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 44.4 ¢
	Major 1-mosstep	M1ms	L	44.4 ¢ to 85.7 ¢
2-mosstep	Perfect 2-mosstep	P2ms	L + s	85.7 ¢ to 88.9 ¢
	Augmented 2-mosstep	A2ms	2L	88.9 ¢ to 171.4 ¢
3-mosstep	Minor 3-mosstep	m3ms	L + 2s	85.7 ¢ to 133.3 ¢
	Major 3-mosstep	M3ms	2L + s	133.3 ¢ to 171.4 ¢
4-mosstep	Minor 4-mosstep	m4ms	2L + 2s	171.4 ¢ to 177.8 ¢
	Major 4-mosstep	M4ms	3L + s	177.8 ¢ to 257.1 ¢
5-mosstep	Minor 5-mosstep	m5ms	2L + 3s	171.4 ¢ to 222.2 ¢
	Major 5-mosstep	M5ms	3L + 2s	222.2 ¢ to 257.1 ¢
6-mosstep	Minor 6-mosstep	m6ms	3L + 3s	257.1 ¢ to 266.7 ¢
	Major 6-mosstep	M6ms	4L + 2s	266.7 ¢ to 342.9 ¢
7-mosstep	Minor 7-mosstep	m7ms	3L + 4s	257.1 ¢ to 311.1 ¢
	Major 7-mosstep	M7ms	4L + 3s	311.1 ¢ to 342.9 ¢
8-mosstep	Minor 8-mosstep	m8ms	4L + 4s	342.9 ¢ to 355.6 ¢
	Major 8-mosstep	M8ms	5L + 3s	355.6 ¢ to 428.6 ¢
9-mosstep	Minor 9-mosstep	m9ms	4L + 5s	342.9 ¢ to 400.0 ¢
	Major 9-mosstep	M9ms	5L + 4s	400.0 ¢ to 428.6 ¢
10-mosstep	Minor 10-mosstep	m10ms	5L + 5s	428.6 ¢ to 444.4 ¢
	Major 10-mosstep	M10ms	6L + 4s	444.4 ¢ to 514.3 ¢
11-mosstep	Minor 11-mosstep	m11ms	5L + 6s	428.6 ¢ to 488.9 ¢
	Major 11-mosstep	M11ms	6L + 5s	488.9 ¢ to 514.3 ¢
12-mosstep	Minor 12-mosstep	m12ms	6L + 6s	514.3 ¢ to 533.3 ¢
	Major 12-mosstep	M12ms	7L + 5s	533.3 ¢ to 600.0 ¢
13-mosstep	Minor 13-mosstep	m13ms	6L + 7s	514.3 ¢ to 577.8 ¢
	Major 13-mosstep	M13ms	7L + 6s	577.8 ¢ to 600.0 ¢
14-mosstep	Minor 14-mosstep	m14ms	7L + 7s	600.0 ¢ to 622.2 ¢
	Major 14-mosstep	M14ms	8L + 6s	622.2 ¢ to 685.7 ¢
15-mosstep	Minor 15-mosstep	m15ms	7L + 8s	600.0 ¢ to 666.7 ¢
	Major 15-mosstep	M15ms	8L + 7s	666.7 ¢ to 685.7 ¢
16-mosstep	Minor 16-mosstep	m16ms	8L + 8s	685.7 ¢ to 711.1 ¢
	Major 16-mosstep	M16ms	9L + 7s	711.1 ¢ to 771.4 ¢
17-mosstep	Minor 17-mosstep	m17ms	8L + 9s	685.7 ¢ to 755.6 ¢
	Major 17-mosstep	M17ms	9L + 8s	755.6 ¢ to 771.4 ¢
18-mosstep	Minor 18-mosstep	m18ms	9L + 9s	771.4 ¢ to 800.0 ¢
	Major 18-mosstep	M18ms	10L + 8s	800.0 ¢ to 857.1 ¢
19-mosstep	Minor 19-mosstep	m19ms	9L + 10s	771.4 ¢ to 844.4 ¢
	Major 19-mosstep	M19ms	10L + 9s	844.4 ¢ to 857.1 ¢
20-mosstep	Minor 20-mosstep	m20ms	10L + 10s	857.1 ¢ to 888.9 ¢
	Major 20-mosstep	M20ms	11L + 9s	888.9 ¢ to 942.9 ¢
21-mosstep	Minor 21-mosstep	m21ms	10L + 11s	857.1 ¢ to 933.3 ¢
	Major 21-mosstep	M21ms	11L + 10s	933.3 ¢ to 942.9 ¢
22-mosstep	Minor 22-mosstep	m22ms	11L + 11s	942.9 ¢ to 977.8 ¢
	Major 22-mosstep	M22ms	12L + 10s	977.8 ¢ to 1028.6 ¢
23-mosstep	Minor 23-mosstep	m23ms	11L + 12s	942.9 ¢ to 1022.2 ¢
	Major 23-mosstep	M23ms	12L + 11s	1022.2 ¢ to 1028.6 ¢
24-mosstep	Minor 24-mosstep	m24ms	12L + 12s	1028.6 ¢ to 1066.7 ¢
	Major 24-mosstep	M24ms	13L + 11s	1066.7 ¢ to 1114.3 ¢
25-mosstep	Diminished 25-mosstep	d25ms	12L + 13s	1028.6 ¢ to 1111.1 ¢
	Perfect 25-mosstep	P25ms	13L + 12s	1111.1 ¢ to 1114.3 ¢
26-mosstep	Minor 26-mosstep	m26ms	13L + 13s	1114.3 ¢ to 1155.6 ¢
	Major 26-mosstep	M26ms	14L + 12s	1155.6 ¢ to 1200.0 ¢
27-mosstep	Perfect 27-mosstep	P27ms	14L + 13s	1200.0 ¢