3L 18s

↖ 2L 17s ↑ 3L 17s 4L 17s ↗

← 2L 18s 3L 18s 4L 18s →

↙ 2L 19s ↓ 3L 19s 4L 19s ↘
	Scale structure
Step pattern	LssssssLssssssLssssss; ssssssLssssssLssssssL
Equave	2/1 (1200.0 ¢)
Period	1\3 (400.0 ¢)
	Generator size
Bright	6\21 to 1\3 (342.9 ¢ to 400.0 ¢)
Dark	0\3 to 1\21 (0.0 ¢ to 57.1 ¢)
	TAMNAMS information
Related to	3L 6s (tcherepnin)
With tunings	5:1 to 1:0
	Related MOS scales
Parent	3L 15s
Sister	18L 3s
Daughters	21L 3s, 3L 21s
Neutralized	6L 15s
2-Flought	24L 18s, 3L 39s
	Equal tunings
Equalized (L:s = 1:1)	6\21 (342.9 ¢)
Supersoft (L:s = 4:3)	19\66 (345.5 ¢)
Soft (L:s = 3:2)	13\45 (346.7 ¢)
Semisoft (L:s = 5:3)	20\69 (347.8 ¢)
Basic (L:s = 2:1)	7\24 (350.0 ¢)
Semihard (L:s = 5:2)	15\51 (352.9 ¢)
Hard (L:s = 3:1)	8\27 (355.6 ¢)
Superhard (L:s = 4:1)	9\30 (360.0 ¢)
Collapsed (L:s = 1:0)	1\3 (400.0 ¢)
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3L 18s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 3 large steps and 18 small steps, with a period of 1 large step and 6 small steps that repeats every 400.0 ¢, or 3 times every octave. 3L 18s is related to 3L 6s, expanding it by 12 tones. Generators that produce this scale range from 342.9 ¢ to 400 ¢, or from 0 ¢ to 57.1 ¢.

Modes

Modes of 3L 18s
UDP	Cyclic order	Step pattern
18\|0(3)	1	LssssssLssssssLssssss
15\|3(3)	7	sLssssssLssssssLsssss
12\|6(3)	6	ssLssssssLssssssLssss
9\|9(3)	5	sssLssssssLssssssLsss
6\|12(3)	4	ssssLssssssLssssssLss
3\|15(3)	3	sssssLssssssLssssssLs
0\|18(3)	2	ssssssLssssssLssssssL

Scale tree

Template: Scale tree is deprecated. Please use Template: MOS tuning spectrum instead. Details:
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 3L 18s
Generator^(edo)						Cents		Step ratio		Comments
Generator^(edo)						Bright	Dark	L:s	Hardness	Comments
6\21						342.857	57.143	1:1	1.000	Equalized 3L 18s
					31\108	344.444	55.556	6:5	1.200
				25\87		344.828	55.172	5:4	1.250
					44\153	345.098	54.902	9:7	1.286
			19\66			345.455	54.545	4:3	1.333	Supersoft 3L 18s
					51\177	345.763	54.237	11:8	1.375
				32\111		345.946	54.054	7:5	1.400
					45\156	346.154	53.846	10:7	1.429
		13\45				346.667	53.333	3:2	1.500	Soft 3L 18s
					46\159	347.170	52.830	11:7	1.571
				33\114		347.368	52.632	8:5	1.600
					53\183	347.541	52.459	13:8	1.625
			20\69			347.826	52.174	5:3	1.667	Semisoft 3L 18s
					47\162	348.148	51.852	12:7	1.714
				27\93		348.387	51.613	7:4	1.750
					34\117	348.718	51.282	9:5	1.800
	7\24					350.000	50.000	2:1	2.000	Basic 3L 18s Scales with tunings softer than this are proper
					29\99	351.515	48.485	9:4	2.250
				22\75		352.000	48.000	7:3	2.333
					37\126	352.381	47.619	12:5	2.400
			15\51			352.941	47.059	5:2	2.500	Semihard 3L 18s
					38\129	353.488	46.512	13:5	2.600
				23\78		353.846	46.154	8:3	2.667
					31\105	354.286	45.714	11:4	2.750
		8\27				355.556	44.444	3:1	3.000	Hard 3L 18s
					25\84	357.143	42.857	10:3	3.333
				17\57		357.895	42.105	7:2	3.500
					26\87	358.621	41.379	11:3	3.667
			9\30			360.000	40.000	4:1	4.000	Superhard 3L 18s
					19\63	361.905	38.095	9:2	4.500
				10\33		363.636	36.364	5:1	5.000
					11\36	366.667	33.333	6:1	6.000
1\3						400.000	0.000	1:0	→ ∞	Collapsed 3L 18s