3L 9s

Todo: review Adopt scale tree template, review entries

↖ 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

Scale tree

Generator ranges:

• Chroma-positive generator: 300 cents (3\12) to 400 cents (1\3)
• Chroma-negative generator: 0 cents (0\3) to 100 cents (1\12)