18L 5s

↖ 17L 4s	↑ 18L 4s	19L 4s ↗
← 17L 5s	18L 5s	19L 5s →
↙ 17L 6s	↓ 18L 6s	19L 6s ↘

┌╥╥╥╥┬╥╥╥╥┬╥╥╥┬╥╥╥╥┬╥╥╥┬┐ │║║║║│║║║║│║║║│║║║║│║║║││ │││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LLLLsLLLLsLLLsLLLLsLLLs sLLLsLLLLsLLLsLLLLsLLLL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	14\23 to 11\18 (730.4 ¢ to 733.3 ¢)
Dark	7\18 to 9\23 (466.7 ¢ to 469.6 ¢)
TAMNAMS information
Related to	5L 3s (oneirotonic)
With tunings	3:1 to 4:1 (parahard)
Related MOS scales
Parent	5L 13s
Sister	5L 18s
Daughters	23L 18s, 18L 23s
Neutralized	13L 10s
2-Flought	41L 5s, 18L 28s
Equal tunings
Equalized (L:s = 1:1)	14\23 (730.4 ¢)
Supersoft (L:s = 4:3)	53\87 (731.0 ¢)
Soft (L:s = 3:2)	39\64 (731.2 ¢)
Semisoft (L:s = 5:3)	64\105 (731.4 ¢)
Basic (L:s = 2:1)	25\41 (731.7 ¢)
Semihard (L:s = 5:2)	61\100 (732.0 ¢)
Hard (L:s = 3:1)	36\59 (732.2 ¢)
Superhard (L:s = 4:1)	47\77 (732.5 ¢)
Collapsed (L:s = 1:0)	11\18 (733.3 ¢)

18L 5s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 18 large steps and 5 small steps, repeating every octave. 18L 5s is a great-grandchild scale of 5L 3s, expanding it by 15 tones. Generators that produce this scale range from 730.4 ¢ to 733.3 ¢, or from 466.7 ¢ to 469.6 ¢.

Modes

Modes of 18L 5s

UDP	Cyclic order	Step pattern
22|0	1	LLLLsLLLLsLLLsLLLLsLLLs
21|1	15	LLLLsLLLsLLLLsLLLLsLLLs
20|2	6	LLLLsLLLsLLLLsLLLsLLLLs
19|3	20	LLLsLLLLsLLLLsLLLsLLLLs
18|4	11	LLLsLLLLsLLLsLLLLsLLLLs
17|5	2	LLLsLLLLsLLLsLLLLsLLLsL
16|6	16	LLLsLLLsLLLLsLLLLsLLLsL
15|7	7	LLLsLLLsLLLLsLLLsLLLLsL
14|8	21	LLsLLLLsLLLLsLLLsLLLLsL
13|9	12	LLsLLLLsLLLsLLLLsLLLLsL
12|10	3	LLsLLLLsLLLsLLLLsLLLsLL
11|11	17	LLsLLLsLLLLsLLLLsLLLsLL
10|12	8	LLsLLLsLLLLsLLLsLLLLsLL
9|13	22	LsLLLLsLLLLsLLLsLLLLsLL
8|14	13	LsLLLLsLLLsLLLLsLLLLsLL
7|15	4	LsLLLLsLLLsLLLLsLLLsLLL
6|16	18	LsLLLsLLLLsLLLLsLLLsLLL
5|17	9	LsLLLsLLLLsLLLsLLLLsLLL
4|18	23	sLLLLsLLLLsLLLsLLLLsLLL
3|19	14	sLLLLsLLLsLLLLsLLLLsLLL
2|20	5	sLLLLsLLLsLLLLsLLLsLLLL
1|21	19	sLLLsLLLLsLLLLsLLLsLLLL
0|22	10	sLLLsLLLLsLLLsLLLLsLLLL

Intervals

Intervals of 18L 5s

Intervals			Steps subtended	Range in cents
Generic	Specific	Abbrev.
0-mosstep	Perfect 0-mosstep	P0ms	0	0.0 ¢
1-mosstep	Minor 1-mosstep	m1ms	s	0.0 ¢ to 52.2 ¢
	Major 1-mosstep	M1ms	L	52.2 ¢ to 66.7 ¢
2-mosstep	Minor 2-mosstep	m2ms	L + s	66.7 ¢ to 104.3 ¢
	Major 2-mosstep	M2ms	2L	104.3 ¢ to 133.3 ¢
3-mosstep	Minor 3-mosstep	m3ms	2L + s	133.3 ¢ to 156.5 ¢
	Major 3-mosstep	M3ms	3L	156.5 ¢ to 200.0 ¢
4-mosstep	Minor 4-mosstep	m4ms	3L + s	200.0 ¢ to 208.7 ¢
	Major 4-mosstep	M4ms	4L	208.7 ¢ to 266.7 ¢
5-mosstep	Minor 5-mosstep	m5ms	3L + 2s	200.0 ¢ to 260.9 ¢
	Major 5-mosstep	M5ms	4L + s	260.9 ¢ to 266.7 ¢
6-mosstep	Minor 6-mosstep	m6ms	4L + 2s	266.7 ¢ to 313.0 ¢
	Major 6-mosstep	M6ms	5L + s	313.0 ¢ to 333.3 ¢
7-mosstep	Minor 7-mosstep	m7ms	5L + 2s	333.3 ¢ to 365.2 ¢
	Major 7-mosstep	M7ms	6L + s	365.2 ¢ to 400.0 ¢
8-mosstep	Minor 8-mosstep	m8ms	6L + 2s	400.0 ¢ to 417.4 ¢
	Major 8-mosstep	M8ms	7L + s	417.4 ¢ to 466.7 ¢
9-mosstep	Perfect 9-mosstep	P9ms	7L + 2s	466.7 ¢ to 469.6 ¢
	Augmented 9-mosstep	A9ms	8L + s	469.6 ¢ to 533.3 ¢
10-mosstep	Minor 10-mosstep	m10ms	7L + 3s	466.7 ¢ to 521.7 ¢
	Major 10-mosstep	M10ms	8L + 2s	521.7 ¢ to 533.3 ¢
11-mosstep	Minor 11-mosstep	m11ms	8L + 3s	533.3 ¢ to 573.9 ¢
	Major 11-mosstep	M11ms	9L + 2s	573.9 ¢ to 600.0 ¢
12-mosstep	Minor 12-mosstep	m12ms	9L + 3s	600.0 ¢ to 626.1 ¢
	Major 12-mosstep	M12ms	10L + 2s	626.1 ¢ to 666.7 ¢
13-mosstep	Minor 13-mosstep	m13ms	10L + 3s	666.7 ¢ to 678.3 ¢
	Major 13-mosstep	M13ms	11L + 2s	678.3 ¢ to 733.3 ¢
14-mosstep	Diminished 14-mosstep	d14ms	10L + 4s	666.7 ¢ to 730.4 ¢
	Perfect 14-mosstep	P14ms	11L + 3s	730.4 ¢ to 733.3 ¢
15-mosstep	Minor 15-mosstep	m15ms	11L + 4s	733.3 ¢ to 782.6 ¢
	Major 15-mosstep	M15ms	12L + 3s	782.6 ¢ to 800.0 ¢
16-mosstep	Minor 16-mosstep	m16ms	12L + 4s	800.0 ¢ to 834.8 ¢
	Major 16-mosstep	M16ms	13L + 3s	834.8 ¢ to 866.7 ¢
17-mosstep	Minor 17-mosstep	m17ms	13L + 4s	866.7 ¢ to 887.0 ¢
	Major 17-mosstep	M17ms	14L + 3s	887.0 ¢ to 933.3 ¢
18-mosstep	Minor 18-mosstep	m18ms	14L + 4s	933.3 ¢ to 939.1 ¢
	Major 18-mosstep	M18ms	15L + 3s	939.1 ¢ to 1000.0 ¢
19-mosstep	Minor 19-mosstep	m19ms	14L + 5s	933.3 ¢ to 991.3 ¢
	Major 19-mosstep	M19ms	15L + 4s	991.3 ¢ to 1000.0 ¢
20-mosstep	Minor 20-mosstep	m20ms	15L + 5s	1000.0 ¢ to 1043.5 ¢
	Major 20-mosstep	M20ms	16L + 4s	1043.5 ¢ to 1066.7 ¢
21-mosstep	Minor 21-mosstep	m21ms	16L + 5s	1066.7 ¢ to 1095.7 ¢
	Major 21-mosstep	M21ms	17L + 4s	1095.7 ¢ to 1133.3 ¢
22-mosstep	Minor 22-mosstep	m22ms	17L + 5s	1133.3 ¢ to 1147.8 ¢
	Major 22-mosstep	M22ms	18L + 4s	1147.8 ¢ to 1200.0 ¢
23-mosstep	Perfect 23-mosstep	P23ms	18L + 5s	1200.0 ¢

Scale tree

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