15L 1s

← 14L 1s	15L 1s	16L 1s →
↙ 14L 2s	↓ 15L 2s	16L 2s ↘

┌╥╥╥╥╥╥╥╥╥╥╥╥╥╥╥┬┐ │║║║║║║║║║║║║║║║││ ││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LLLLLLLLLLLLLLLs sLLLLLLLLLLLLLLL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	1\16 to 1\15 (75.0 ¢ to 80.0 ¢)
Dark	14\15 to 15\16 (1120.0 ¢ to 1125.0 ¢)
TAMNAMS information
Related to	1L 9s (antisinatonic)
With tunings	6:1 to 7:1
Related MOS scales
Parent	1L 14s
Sister	1L 15s
Daughters	16L 15s, 15L 16s
Neutralized	14L 2s
2-Flought	31L 1s, 15L 17s
Equal tunings
Equalized (L:s = 1:1)	1\16 (75.0 ¢)
Supersoft (L:s = 4:3)	4\63 (76.2 ¢)
Soft (L:s = 3:2)	3\47 (76.6 ¢)
Semisoft (L:s = 5:3)	5\78 (76.9 ¢)
Basic (L:s = 2:1)	2\31 (77.4 ¢)
Semihard (L:s = 5:2)	5\77 (77.9 ¢)
Hard (L:s = 3:1)	3\46 (78.3 ¢)
Superhard (L:s = 4:1)	4\61 (78.7 ¢)
Collapsed (L:s = 1:0)	1\15 (80.0 ¢)

15L 1s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 15 large steps and 1 small step, repeating every octave. 15L 1s is related to 1L 9s, expanding it by 6 tones. Generators that produce this scale range from 75 ¢ to 80 ¢, or from 1120 ¢ to 1125 ¢. Scales of this form are always proper because there is only one small step.

It is notable for corresponding to valentine[16].

Modes

Modes of 15L 1s

UDP	Cyclic order	Step pattern
15|0	1	LLLLLLLLLLLLLLLs
14|1	2	LLLLLLLLLLLLLLsL
13|2	3	LLLLLLLLLLLLLsLL
12|3	4	LLLLLLLLLLLLsLLL
11|4	5	LLLLLLLLLLLsLLLL
10|5	6	LLLLLLLLLLsLLLLL
9|6	7	LLLLLLLLLsLLLLLL
8|7	8	LLLLLLLLsLLLLLLL
7|8	9	LLLLLLLsLLLLLLLL
6|9	10	LLLLLLsLLLLLLLLL
5|10	11	LLLLLsLLLLLLLLLL
4|11	12	LLLLsLLLLLLLLLLL
3|12	13	LLLsLLLLLLLLLLLL
2|13	14	LLsLLLLLLLLLLLLL
1|14	15	LsLLLLLLLLLLLLLL
0|15	16	sLLLLLLLLLLLLLLL

Intervals

Intervals of 15L 1s

Intervals			Steps subtended	Range in cents
Generic	Specific	Abbrev.
0-mosstep	Perfect 0-mosstep	P0ms	0	0.0 ¢
1-mosstep	Diminished 1-mosstep	d1ms	s	0.0 ¢ to 75.0 ¢
	Perfect 1-mosstep	P1ms	L	75.0 ¢ to 80.0 ¢
2-mosstep	Minor 2-mosstep	m2ms	L + s	80.0 ¢ to 150.0 ¢
	Major 2-mosstep	M2ms	2L	150.0 ¢ to 160.0 ¢
3-mosstep	Minor 3-mosstep	m3ms	2L + s	160.0 ¢ to 225.0 ¢
	Major 3-mosstep	M3ms	3L	225.0 ¢ to 240.0 ¢
4-mosstep	Minor 4-mosstep	m4ms	3L + s	240.0 ¢ to 300.0 ¢
	Major 4-mosstep	M4ms	4L	300.0 ¢ to 320.0 ¢
5-mosstep	Minor 5-mosstep	m5ms	4L + s	320.0 ¢ to 375.0 ¢
	Major 5-mosstep	M5ms	5L	375.0 ¢ to 400.0 ¢
6-mosstep	Minor 6-mosstep	m6ms	5L + s	400.0 ¢ to 450.0 ¢
	Major 6-mosstep	M6ms	6L	450.0 ¢ to 480.0 ¢
7-mosstep	Minor 7-mosstep	m7ms	6L + s	480.0 ¢ to 525.0 ¢
	Major 7-mosstep	M7ms	7L	525.0 ¢ to 560.0 ¢
8-mosstep	Minor 8-mosstep	m8ms	7L + s	560.0 ¢ to 600.0 ¢
	Major 8-mosstep	M8ms	8L	600.0 ¢ to 640.0 ¢
9-mosstep	Minor 9-mosstep	m9ms	8L + s	640.0 ¢ to 675.0 ¢
	Major 9-mosstep	M9ms	9L	675.0 ¢ to 720.0 ¢
10-mosstep	Minor 10-mosstep	m10ms	9L + s	720.0 ¢ to 750.0 ¢
	Major 10-mosstep	M10ms	10L	750.0 ¢ to 800.0 ¢
11-mosstep	Minor 11-mosstep	m11ms	10L + s	800.0 ¢ to 825.0 ¢
	Major 11-mosstep	M11ms	11L	825.0 ¢ to 880.0 ¢
12-mosstep	Minor 12-mosstep	m12ms	11L + s	880.0 ¢ to 900.0 ¢
	Major 12-mosstep	M12ms	12L	900.0 ¢ to 960.0 ¢
13-mosstep	Minor 13-mosstep	m13ms	12L + s	960.0 ¢ to 975.0 ¢
	Major 13-mosstep	M13ms	13L	975.0 ¢ to 1040.0 ¢
14-mosstep	Minor 14-mosstep	m14ms	13L + s	1040.0 ¢ to 1050.0 ¢
	Major 14-mosstep	M14ms	14L	1050.0 ¢ to 1120.0 ¢
15-mosstep	Perfect 15-mosstep	P15ms	14L + s	1120.0 ¢ to 1125.0 ¢
	Augmented 15-mosstep	A15ms	15L	1125.0 ¢ to 1200.0 ¢
16-mosstep	Perfect 16-mosstep	P16ms	15L + s	1200.0 ¢

Scale tree

This page is a stub. You can help the Xenharmonic Wiki by expanding it.