4L 16s

↖ 3L 15s	↑ 4L 15s	5L 15s ↗
← 3L 16s	4L 16s	5L 16s →
↙ 3L 17s	↓ 4L 17s	5L 17s ↘

┌╥┬┬┬┬╥┬┬┬┬╥┬┬┬┬╥┬┬┬┬┐ │║││││║││││║││││║│││││ ││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LssssLssssLssssLssss ssssLssssLssssLssssL
Equave	2/1 (1200.0 ¢)
Period	1\4 (300.0 ¢)
Generator size
Bright	4\20 to 1\4 (240.0 ¢ to 300.0 ¢)
Dark	0\4 to 1\20 (0.0 ¢ to 60.0 ¢)
TAMNAMS information
Related to	4L 4s (tetrawood)
With tunings	4:1 to 1:0 (ultrahard)
Related MOS scales
Parent	4L 12s
Sister	16L 4s
Daughters	20L 4s, 4L 20s
Neutralized	8L 12s
2-Flought	24L 16s, 4L 36s
Equal tunings
Equalized (L:s = 1:1)	4\20 (240.0 ¢)
Supersoft (L:s = 4:3)	13\64 (243.8 ¢)
Soft (L:s = 3:2)	9\44 (245.5 ¢)
Semisoft (L:s = 5:3)	14\68 (247.1 ¢)
Basic (L:s = 2:1)	5\24 (250.0 ¢)
Semihard (L:s = 5:2)	11\52 (253.8 ¢)
Hard (L:s = 3:1)	6\28 (257.1 ¢)
Superhard (L:s = 4:1)	7\32 (262.5 ¢)
Collapsed (L:s = 1:0)	1\4 (300.0 ¢)

4L 16s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 4 large steps and 16 small steps, with a period of 1 large step and 4 small steps that repeats every 300.0 ¢, or 4 times every octave. 4L 16s is a great-grandchild scale of 4L 4s, expanding it by 12 tones. Generators that produce this scale range from 240 ¢ to 300 ¢, or from 0 ¢ to 60 ¢.

Modes

Modes of 4L 16s

UDP	Cyclic order	Step pattern
16|0(4)	1	LssssLssssLssssLssss
12|4(4)	5	sLssssLssssLssssLsss
8|8(4)	4	ssLssssLssssLssssLss
4|12(4)	3	sssLssssLssssLssssLs
0|16(4)	2	ssssLssssLssssLssssL

Intervals

Intervals of 4L 16s

Intervals			Steps subtended	Range in cents
Generic	Specific	Abbrev.
0-mosstep	Perfect 0-mosstep	P0ms	0	0.0 ¢
1-mosstep	Perfect 1-mosstep	P1ms	s	0.0 ¢ to 60.0 ¢
	Augmented 1-mosstep	A1ms	L	60.0 ¢ to 300.0 ¢
2-mosstep	Minor 2-mosstep	m2ms	2s	0.0 ¢ to 120.0 ¢
	Major 2-mosstep	M2ms	L + s	120.0 ¢ to 300.0 ¢
3-mosstep	Minor 3-mosstep	m3ms	3s	0.0 ¢ to 180.0 ¢
	Major 3-mosstep	M3ms	L + 2s	180.0 ¢ to 300.0 ¢
4-mosstep	Diminished 4-mosstep	d4ms	4s	0.0 ¢ to 240.0 ¢
	Perfect 4-mosstep	P4ms	L + 3s	240.0 ¢ to 300.0 ¢
5-mosstep	Perfect 5-mosstep	P5ms	L + 4s	300.0 ¢
6-mosstep	Perfect 6-mosstep	P6ms	L + 5s	300.0 ¢ to 360.0 ¢
	Augmented 6-mosstep	A6ms	2L + 4s	360.0 ¢ to 600.0 ¢
7-mosstep	Minor 7-mosstep	m7ms	L + 6s	300.0 ¢ to 420.0 ¢
	Major 7-mosstep	M7ms	2L + 5s	420.0 ¢ to 600.0 ¢
8-mosstep	Minor 8-mosstep	m8ms	L + 7s	300.0 ¢ to 480.0 ¢
	Major 8-mosstep	M8ms	2L + 6s	480.0 ¢ to 600.0 ¢
9-mosstep	Diminished 9-mosstep	d9ms	L + 8s	300.0 ¢ to 540.0 ¢
	Perfect 9-mosstep	P9ms	2L + 7s	540.0 ¢ to 600.0 ¢
10-mosstep	Perfect 10-mosstep	P10ms	2L + 8s	600.0 ¢
11-mosstep	Perfect 11-mosstep	P11ms	2L + 9s	600.0 ¢ to 660.0 ¢
	Augmented 11-mosstep	A11ms	3L + 8s	660.0 ¢ to 900.0 ¢
12-mosstep	Minor 12-mosstep	m12ms	2L + 10s	600.0 ¢ to 720.0 ¢
	Major 12-mosstep	M12ms	3L + 9s	720.0 ¢ to 900.0 ¢
13-mosstep	Minor 13-mosstep	m13ms	2L + 11s	600.0 ¢ to 780.0 ¢
	Major 13-mosstep	M13ms	3L + 10s	780.0 ¢ to 900.0 ¢
14-mosstep	Diminished 14-mosstep	d14ms	2L + 12s	600.0 ¢ to 840.0 ¢
	Perfect 14-mosstep	P14ms	3L + 11s	840.0 ¢ to 900.0 ¢
15-mosstep	Perfect 15-mosstep	P15ms	3L + 12s	900.0 ¢
16-mosstep	Perfect 16-mosstep	P16ms	3L + 13s	900.0 ¢ to 960.0 ¢
	Augmented 16-mosstep	A16ms	4L + 12s	960.0 ¢ to 1200.0 ¢
17-mosstep	Minor 17-mosstep	m17ms	3L + 14s	900.0 ¢ to 1020.0 ¢
	Major 17-mosstep	M17ms	4L + 13s	1020.0 ¢ to 1200.0 ¢
18-mosstep	Minor 18-mosstep	m18ms	3L + 15s	900.0 ¢ to 1080.0 ¢
	Major 18-mosstep	M18ms	4L + 14s	1080.0 ¢ to 1200.0 ¢
19-mosstep	Diminished 19-mosstep	d19ms	3L + 16s	900.0 ¢ to 1140.0 ¢
	Perfect 19-mosstep	P19ms	4L + 15s	1140.0 ¢ to 1200.0 ¢
20-mosstep	Perfect 20-mosstep	P20ms	4L + 16s	1200.0 ¢

Scale tree

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