6L 18s

↖ 5L 17s	↑ 6L 17s	7L 17s ↗
← 5L 18s	6L 18s	7L 18s →
↙ 5L 19s	↓ 6L 19s	7L 19s ↘

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Scale structure
Step pattern	LsssLsssLsssLsssLsssLsss sssLsssLsssLsssLsssLsssL
Equave	2/1 (1200.0 ¢)
Period	1\6 (200.0 ¢)
Generator size
Bright	3\24 to 1\6 (150.0 ¢ to 200.0 ¢)
Dark	0\6 to 1\24 (0.0 ¢ to 50.0 ¢)
TAMNAMS information
Descends from	6L 6s
Ancestor's step ratio range	3:1 to 1:0 (hard)
Related MOS scales
Parent	6L 12s
Sister	18L 6s
Daughters	24L 6s, 6L 24s
Neutralized	12L 12s
2-Flought	30L 18s, 6L 42s
Equal tunings
Equalized (L:s = 1:1)	3\24 (150.0 ¢)
Supersoft (L:s = 4:3)	10\78 (153.8 ¢)
Soft (L:s = 3:2)	7\54 (155.6 ¢)
Semisoft (L:s = 5:3)	11\84 (157.1 ¢)
Basic (L:s = 2:1)	4\30 (160.0 ¢)
Semihard (L:s = 5:2)	9\66 (163.6 ¢)
Hard (L:s = 3:1)	5\36 (166.7 ¢)
Superhard (L:s = 4:1)	6\42 (171.4 ¢)
Collapsed (L:s = 1:0)	1\6 (200.0 ¢)

6L 18s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 6 large steps and 18 small steps, with a period of 1 large step and 3 small steps that repeats every 200.0 ¢, or 6 times every octave. 6L 18s is a grandchild scale of 6L 6s, expanding it by 12 tones. Generators that produce this scale range from 150 ¢ to 200 ¢, or from 0 ¢ to 50 ¢.

Modes

Modes of 6L 18s

UDP	Cyclic order	Step pattern
18|0(6)	1	LsssLsssLsssLsssLsssLsss
12|6(6)	4	sLsssLsssLsssLsssLsssLss
6|12(6)	3	ssLsssLsssLsssLsssLsssLs
0|18(6)	2	sssLsssLsssLsssLsssLsssL

Intervals

Intervals of 6L 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 50.0 ¢
	Augmented 1-mosstep	A1ms	L	50.0 ¢ to 200.0 ¢
2-mosstep	Minor 2-mosstep	m2ms	2s	0.0 ¢ to 100.0 ¢
	Major 2-mosstep	M2ms	L + s	100.0 ¢ to 200.0 ¢
3-mosstep	Diminished 3-mosstep	d3ms	3s	0.0 ¢ to 150.0 ¢
	Perfect 3-mosstep	P3ms	L + 2s	150.0 ¢ to 200.0 ¢
4-mosstep	Perfect 4-mosstep	P4ms	L + 3s	200.0 ¢
5-mosstep	Perfect 5-mosstep	P5ms	L + 4s	200.0 ¢ to 250.0 ¢
	Augmented 5-mosstep	A5ms	2L + 3s	250.0 ¢ to 400.0 ¢
6-mosstep	Minor 6-mosstep	m6ms	L + 5s	200.0 ¢ to 300.0 ¢
	Major 6-mosstep	M6ms	2L + 4s	300.0 ¢ to 400.0 ¢
7-mosstep	Diminished 7-mosstep	d7ms	L + 6s	200.0 ¢ to 350.0 ¢
	Perfect 7-mosstep	P7ms	2L + 5s	350.0 ¢ to 400.0 ¢
8-mosstep	Perfect 8-mosstep	P8ms	2L + 6s	400.0 ¢
9-mosstep	Perfect 9-mosstep	P9ms	2L + 7s	400.0 ¢ to 450.0 ¢
	Augmented 9-mosstep	A9ms	3L + 6s	450.0 ¢ to 600.0 ¢
10-mosstep	Minor 10-mosstep	m10ms	2L + 8s	400.0 ¢ to 500.0 ¢
	Major 10-mosstep	M10ms	3L + 7s	500.0 ¢ to 600.0 ¢
11-mosstep	Diminished 11-mosstep	d11ms	2L + 9s	400.0 ¢ to 550.0 ¢
	Perfect 11-mosstep	P11ms	3L + 8s	550.0 ¢ to 600.0 ¢
12-mosstep	Perfect 12-mosstep	P12ms	3L + 9s	600.0 ¢
13-mosstep	Perfect 13-mosstep	P13ms	3L + 10s	600.0 ¢ to 650.0 ¢
	Augmented 13-mosstep	A13ms	4L + 9s	650.0 ¢ to 800.0 ¢
14-mosstep	Minor 14-mosstep	m14ms	3L + 11s	600.0 ¢ to 700.0 ¢
	Major 14-mosstep	M14ms	4L + 10s	700.0 ¢ to 800.0 ¢
15-mosstep	Diminished 15-mosstep	d15ms	3L + 12s	600.0 ¢ to 750.0 ¢
	Perfect 15-mosstep	P15ms	4L + 11s	750.0 ¢ to 800.0 ¢
16-mosstep	Perfect 16-mosstep	P16ms	4L + 12s	800.0 ¢
17-mosstep	Perfect 17-mosstep	P17ms	4L + 13s	800.0 ¢ to 850.0 ¢
	Augmented 17-mosstep	A17ms	5L + 12s	850.0 ¢ to 1000.0 ¢
18-mosstep	Minor 18-mosstep	m18ms	4L + 14s	800.0 ¢ to 900.0 ¢
	Major 18-mosstep	M18ms	5L + 13s	900.0 ¢ to 1000.0 ¢
19-mosstep	Diminished 19-mosstep	d19ms	4L + 15s	800.0 ¢ to 950.0 ¢
	Perfect 19-mosstep	P19ms	5L + 14s	950.0 ¢ to 1000.0 ¢
20-mosstep	Perfect 20-mosstep	P20ms	5L + 15s	1000.0 ¢
21-mosstep	Perfect 21-mosstep	P21ms	5L + 16s	1000.0 ¢ to 1050.0 ¢
	Augmented 21-mosstep	A21ms	6L + 15s	1050.0 ¢ to 1200.0 ¢
22-mosstep	Minor 22-mosstep	m22ms	5L + 17s	1000.0 ¢ to 1100.0 ¢
	Major 22-mosstep	M22ms	6L + 16s	1100.0 ¢ to 1200.0 ¢
23-mosstep	Diminished 23-mosstep	d23ms	5L + 18s	1000.0 ¢ to 1150.0 ¢
	Perfect 23-mosstep	P23ms	6L + 17s	1150.0 ¢ to 1200.0 ¢
24-mosstep	Perfect 24-mosstep	P24ms	6L + 18s	1200.0 ¢

Scale tree

Scale tree is deprecated. Please use Template: MOS tuning spectrum instead. Use of a single Comments parameter has become unmaintainable. Existing scale trees should be migrated to the new template, where comments are entered using a step ratio p/q as a parameter: {{MOS tuning spectrum | 3/2 = Example comment | 4/3 = Another example comment }} The parameters tuning and depth have been replaced with Scale Signature and Depth, respectively.

Scale tree and tuning spectrum of 6L 18s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
3\24						150.000	50.000	1:1	1.000	Equalized 6L 18s
					16\126	152.381	47.619	6:5	1.200
				13\102		152.941	47.059	5:4	1.250
					23\180	153.333	46.667	9:7	1.286
			10\78			153.846	46.154	4:3	1.333	Supersoft 6L 18s
					27\210	154.286	45.714	11:8	1.375
				17\132		154.545	45.455	7:5	1.400
					24\186	154.839	45.161	10:7	1.429
		7\54				155.556	44.444	3:2	1.500	Soft 6L 18s
					25\192	156.250	43.750	11:7	1.571
				18\138		156.522	43.478	8:5	1.600
					29\222	156.757	43.243	13:8	1.625
			11\84			157.143	42.857	5:3	1.667	Semisoft 6L 18s
					26\198	157.576	42.424	12:7	1.714
				15\114		157.895	42.105	7:4	1.750
					19\144	158.333	41.667	9:5	1.800
	4\30					160.000	40.000	2:1	2.000	Basic 6L 18s Scales with tunings softer than this are proper
					17\126	161.905	38.095	9:4	2.250
				13\96		162.500	37.500	7:3	2.333
					22\162	162.963	37.037	12:5	2.400
			9\66			163.636	36.364	5:2	2.500	Semihard 6L 18s
					23\168	164.286	35.714	13:5	2.600
				14\102		164.706	35.294	8:3	2.667
					19\138	165.217	34.783	11:4	2.750
		5\36				166.667	33.333	3:1	3.000	Hard 6L 18s
					16\114	168.421	31.579	10:3	3.333
				11\78		169.231	30.769	7:2	3.500
					17\120	170.000	30.000	11:3	3.667
			6\42			171.429	28.571	4:1	4.000	Superhard 6L 18s
					13\90	173.333	26.667	9:2	4.500
				7\48		175.000	25.000	5:1	5.000
					8\54	177.778	22.222	6:1	6.000
1\6						200.000	0.000	1:0	→ ∞	Collapsed 6L 18s

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