3L 9s

↖ 2L 8s	↑ 3L 8s	4L 8s ↗
← 2L 9s	3L 9s	4L 9s →
↙ 2L 10s	↓ 3L 10s	4L 10s ↘

┌╥┬┬┬╥┬┬┬╥┬┬┬┐ │║│││║│││║││││ ││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LsssLsssLsss sssLsssLsssL
Equave	2/1 (1200.0 ¢)
Period	1\3 (400.0 ¢)
Generator size
Bright	3\12 to 1\3 (300.0 ¢ to 400.0 ¢)
Dark	0\3 to 1\12 (0.0 ¢ to 100.0 ¢)
TAMNAMS information
Related to	3L 6s (tcherepnin)
With tunings	2:1 to 1:0 (hard-of-basic)
Related MOS scales
Parent	3L 6s
Sister	9L 3s
Daughters	12L 3s, 3L 12s
Neutralized	6L 6s
2-Flought	15L 9s, 3L 21s
Equal tunings
Equalized (L:s = 1:1)	3\12 (300.0 ¢)
Supersoft (L:s = 4:3)	10\39 (307.7 ¢)
Soft (L:s = 3:2)	7\27 (311.1 ¢)
Semisoft (L:s = 5:3)	11\42 (314.3 ¢)
Basic (L:s = 2:1)	4\15 (320.0 ¢)
Semihard (L:s = 5:2)	9\33 (327.3 ¢)
Hard (L:s = 3:1)	5\18 (333.3 ¢)
Superhard (L:s = 4:1)	6\21 (342.9 ¢)
Collapsed (L:s = 1:0)	1\3 (400.0 ¢)

3L 9s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 3 large steps and 9 small steps, with a period of 1 large step and 3 small steps that repeats every 400.0 ¢, or 3 times every octave. 3L 9s is a child scale of 3L 6s, expanding it by 3 tones. Generators that produce this scale range from 300 ¢ to 400 ¢, or from 0 ¢ to 100 ¢.

This MOS represents, among other chromatic scales, that of the Augene temperament.

Modes

Modes of 3L 9s

UDP	Cyclic order	Step pattern
9|0(3)	1	LsssLsssLsss
6|3(3)	4	sLsssLsssLss
3|6(3)	3	ssLsssLsssLs
0|9(3)	2	sssLsssLsssL

Intervals

Intervals of 3L 9s

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 100.0 ¢
	Augmented 1-mosstep	A1ms	L	100.0 ¢ to 400.0 ¢
2-mosstep	Minor 2-mosstep	m2ms	2s	0.0 ¢ to 200.0 ¢
	Major 2-mosstep	M2ms	L + s	200.0 ¢ to 400.0 ¢
3-mosstep	Diminished 3-mosstep	d3ms	3s	0.0 ¢ to 300.0 ¢
	Perfect 3-mosstep	P3ms	L + 2s	300.0 ¢ to 400.0 ¢
4-mosstep	Perfect 4-mosstep	P4ms	L + 3s	400.0 ¢
5-mosstep	Perfect 5-mosstep	P5ms	L + 4s	400.0 ¢ to 500.0 ¢
	Augmented 5-mosstep	A5ms	2L + 3s	500.0 ¢ to 800.0 ¢
6-mosstep	Minor 6-mosstep	m6ms	L + 5s	400.0 ¢ to 600.0 ¢
	Major 6-mosstep	M6ms	2L + 4s	600.0 ¢ to 800.0 ¢
7-mosstep	Diminished 7-mosstep	d7ms	L + 6s	400.0 ¢ to 700.0 ¢
	Perfect 7-mosstep	P7ms	2L + 5s	700.0 ¢ to 800.0 ¢
8-mosstep	Perfect 8-mosstep	P8ms	2L + 6s	800.0 ¢
9-mosstep	Perfect 9-mosstep	P9ms	2L + 7s	800.0 ¢ to 900.0 ¢
	Augmented 9-mosstep	A9ms	3L + 6s	900.0 ¢ to 1200.0 ¢
10-mosstep	Minor 10-mosstep	m10ms	2L + 8s	800.0 ¢ to 1000.0 ¢
	Major 10-mosstep	M10ms	3L + 7s	1000.0 ¢ to 1200.0 ¢
11-mosstep	Diminished 11-mosstep	d11ms	2L + 9s	800.0 ¢ to 1100.0 ¢
	Perfect 11-mosstep	P11ms	3L + 8s	1100.0 ¢ to 1200.0 ¢
12-mosstep	Perfect 12-mosstep	P12ms	3L + 9s	1200.0 ¢

Scale tree

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