9L 18s

↖ 8L 17s	↑ 9L 17s	10L 17s ↗
← 8L 18s	9L 18s	10L 18s →
↙ 8L 19s	↓ 9L 19s	10L 19s ↘

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Scale structure
Step pattern	LssLssLssLssLssLssLssLssLss ssLssLssLssLssLssLssLssLssL
Equave	2/1 (1200.0 ¢)
Period	1\9 (133.3 ¢)
Generator size
Bright	2\27 to 1\9 (88.9 ¢ to 133.3 ¢)
Dark	0\9 to 1\27 (0.0 ¢ to 44.4 ¢)
TAMNAMS information
Related to	9L 9s
With tunings	2:1 to 1:0 (hard-of-basic)
Related MOS scales
Parent	9L 9s
Sister	18L 9s
Daughters	27L 9s, 9L 27s
Neutralized	18L 9s
2-Flought	36L 18s, 9L 45s
Equal tunings
Equalized (L:s = 1:1)	2\27 (88.9 ¢)
Supersoft (L:s = 4:3)	7\90 (93.3 ¢)
Soft (L:s = 3:2)	5\63 (95.2 ¢)
Semisoft (L:s = 5:3)	8\99 (97.0 ¢)
Basic (L:s = 2:1)	3\36 (100.0 ¢)
Semihard (L:s = 5:2)	7\81 (103.7 ¢)
Hard (L:s = 3:1)	4\45 (106.7 ¢)
Superhard (L:s = 4:1)	5\54 (111.1 ¢)
Collapsed (L:s = 1:0)	1\9 (133.3 ¢)

9L 18s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 9 large steps and 18 small steps, with a period of 1 large step and 2 small steps that repeats every 133.3 ¢, or 9 times every octave. 9L 18s is a child scale of 9L 9s, expanding it by 9 tones. Generators that produce this scale range from 88.9 ¢ to 133.3 ¢, or from 0 ¢ to 44.4 ¢.

Modes

Modes of 9L 18s

UDP	Cyclic order	Step pattern
18|0(9)	1	LssLssLssLssLssLssLssLssLss
9|9(9)	3	sLssLssLssLssLssLssLssLssLs
0|18(9)	2	ssLssLssLssLssLssLssLssLssL

Intervals

Intervals of 9L 18s

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 44.4 ¢
	Augmented 1-mosstep	A1ms	L	44.4 ¢ to 133.3 ¢
2-mosstep	Diminished 2-mosstep	d2ms	2s	0.0 ¢ to 88.9 ¢
	Perfect 2-mosstep	P2ms	L + s	88.9 ¢ to 133.3 ¢
3-mosstep	Perfect 3-mosstep	P3ms	L + 2s	133.3 ¢
4-mosstep	Perfect 4-mosstep	P4ms	L + 3s	133.3 ¢ to 177.8 ¢
	Augmented 4-mosstep	A4ms	2L + 2s	177.8 ¢ to 266.7 ¢
5-mosstep	Diminished 5-mosstep	d5ms	L + 4s	133.3 ¢ to 222.2 ¢
	Perfect 5-mosstep	P5ms	2L + 3s	222.2 ¢ to 266.7 ¢
6-mosstep	Perfect 6-mosstep	P6ms	2L + 4s	266.7 ¢
7-mosstep	Perfect 7-mosstep	P7ms	2L + 5s	266.7 ¢ to 311.1 ¢
	Augmented 7-mosstep	A7ms	3L + 4s	311.1 ¢ to 400.0 ¢
8-mosstep	Diminished 8-mosstep	d8ms	2L + 6s	266.7 ¢ to 355.6 ¢
	Perfect 8-mosstep	P8ms	3L + 5s	355.6 ¢ to 400.0 ¢
9-mosstep	Perfect 9-mosstep	P9ms	3L + 6s	400.0 ¢
10-mosstep	Perfect 10-mosstep	P10ms	3L + 7s	400.0 ¢ to 444.4 ¢
	Augmented 10-mosstep	A10ms	4L + 6s	444.4 ¢ to 533.3 ¢
11-mosstep	Diminished 11-mosstep	d11ms	3L + 8s	400.0 ¢ to 488.9 ¢
	Perfect 11-mosstep	P11ms	4L + 7s	488.9 ¢ to 533.3 ¢
12-mosstep	Perfect 12-mosstep	P12ms	4L + 8s	533.3 ¢
13-mosstep	Perfect 13-mosstep	P13ms	4L + 9s	533.3 ¢ to 577.8 ¢
	Augmented 13-mosstep	A13ms	5L + 8s	577.8 ¢ to 666.7 ¢
14-mosstep	Diminished 14-mosstep	d14ms	4L + 10s	533.3 ¢ to 622.2 ¢
	Perfect 14-mosstep	P14ms	5L + 9s	622.2 ¢ to 666.7 ¢
15-mosstep	Perfect 15-mosstep	P15ms	5L + 10s	666.7 ¢
16-mosstep	Perfect 16-mosstep	P16ms	5L + 11s	666.7 ¢ to 711.1 ¢
	Augmented 16-mosstep	A16ms	6L + 10s	711.1 ¢ to 800.0 ¢
17-mosstep	Diminished 17-mosstep	d17ms	5L + 12s	666.7 ¢ to 755.6 ¢
	Perfect 17-mosstep	P17ms	6L + 11s	755.6 ¢ to 800.0 ¢
18-mosstep	Perfect 18-mosstep	P18ms	6L + 12s	800.0 ¢
19-mosstep	Perfect 19-mosstep	P19ms	6L + 13s	800.0 ¢ to 844.4 ¢
	Augmented 19-mosstep	A19ms	7L + 12s	844.4 ¢ to 933.3 ¢
20-mosstep	Diminished 20-mosstep	d20ms	6L + 14s	800.0 ¢ to 888.9 ¢
	Perfect 20-mosstep	P20ms	7L + 13s	888.9 ¢ to 933.3 ¢
21-mosstep	Perfect 21-mosstep	P21ms	7L + 14s	933.3 ¢
22-mosstep	Perfect 22-mosstep	P22ms	7L + 15s	933.3 ¢ to 977.8 ¢
	Augmented 22-mosstep	A22ms	8L + 14s	977.8 ¢ to 1066.7 ¢
23-mosstep	Diminished 23-mosstep	d23ms	7L + 16s	933.3 ¢ to 1022.2 ¢
	Perfect 23-mosstep	P23ms	8L + 15s	1022.2 ¢ to 1066.7 ¢
24-mosstep	Perfect 24-mosstep	P24ms	8L + 16s	1066.7 ¢
25-mosstep	Perfect 25-mosstep	P25ms	8L + 17s	1066.7 ¢ to 1111.1 ¢
	Augmented 25-mosstep	A25ms	9L + 16s	1111.1 ¢ to 1200.0 ¢
26-mosstep	Diminished 26-mosstep	d26ms	8L + 18s	1066.7 ¢ to 1155.6 ¢
	Perfect 26-mosstep	P26ms	9L + 17s	1155.6 ¢ to 1200.0 ¢
27-mosstep	Perfect 27-mosstep	P27ms	9L + 18s	1200.0 ¢

Scale tree

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