2L 18s

↖ 1L 17s	↑ 2L 17s	3L 17s ↗
← 1L 18s	2L 18s	3L 18s →
↙ 1L 19s	↓ 2L 19s	3L 19s ↘

┌╥┬┬┬┬┬┬┬┬┬╥┬┬┬┬┬┬┬┬┬┐ │║│││││││││║││││││││││ ││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LsssssssssLsssssssss sssssssssLsssssssssL
Equave	2/1 (1200.0¢)
Period	1\2 (600.0¢)
Generator size
Bright	9\20 to 1\2 (540.0¢ to 600.0¢)
Dark	0\2 to 1\20 (0.0¢ to 60.0¢)
TAMNAMS information
Descends from	2L 8s (jaric)
Ancestor's step ratio range	6:1 to 1:0
Related MOS scales
Parent	2L 16s
Sister	18L 2s
Daughters	20L 2s, 2L 20s
Neutralized	4L 16s
2-Flought	22L 18s, 2L 38s
Equal tunings
Equalized (L:s = 1:1)	9\20 (540.0¢)
Supersoft (L:s = 4:3)	28\62 (541.9¢)
Soft (L:s = 3:2)	19\42 (542.9¢)
Semisoft (L:s = 5:3)	29\64 (543.8¢)
Basic (L:s = 2:1)	10\22 (545.5¢)
Semihard (L:s = 5:2)	21\46 (547.8¢)
Hard (L:s = 3:1)	11\24 (550.0¢)
Superhard (L:s = 4:1)	12\26 (553.8¢)
Collapsed (L:s = 1:0)	1\2 (600.0¢)

2L 18s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 2 large steps and 18 small steps, with a period of 1 large step and 9 small steps that repeats every 600.0¢, or twice every octave. 2L 18s is related to 2L 8s, expanding it by 10 tones. Generators that produce this scale range from 540¢ to 600¢, or from 0¢ to 60¢.

Modes

Modes of 2L 18s

UDP	Cyclic order	Step pattern
18|0(2)	1	LsssssssssLsssssssss
16|2(2)	10	sLsssssssssLssssssss
14|4(2)	9	ssLsssssssssLsssssss
12|6(2)	8	sssLsssssssssLssssss
10|8(2)	7	ssssLsssssssssLsssss
8|10(2)	6	sssssLsssssssssLssss
6|12(2)	5	ssssssLsssssssssLsss
4|14(2)	4	sssssssLsssssssssLss
2|16(2)	3	ssssssssLsssssssssLs
0|18(2)	2	sssssssssLsssssssssL

Intervals

Intervals of 2L 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 60.0¢
	Augmented 1-mosstep	A1ms	L	60.0¢ to 600.0¢
2-mosstep	Minor 2-mosstep	m2ms	2s	0.0¢ to 120.0¢
	Major 2-mosstep	M2ms	L + s	120.0¢ to 600.0¢
3-mosstep	Minor 3-mosstep	m3ms	3s	0.0¢ to 180.0¢
	Major 3-mosstep	M3ms	L + 2s	180.0¢ to 600.0¢
4-mosstep	Minor 4-mosstep	m4ms	4s	0.0¢ to 240.0¢
	Major 4-mosstep	M4ms	L + 3s	240.0¢ to 600.0¢
5-mosstep	Minor 5-mosstep	m5ms	5s	0.0¢ to 300.0¢
	Major 5-mosstep	M5ms	L + 4s	300.0¢ to 600.0¢
6-mosstep	Minor 6-mosstep	m6ms	6s	0.0¢ to 360.0¢
	Major 6-mosstep	M6ms	L + 5s	360.0¢ to 600.0¢
7-mosstep	Minor 7-mosstep	m7ms	7s	0.0¢ to 420.0¢
	Major 7-mosstep	M7ms	L + 6s	420.0¢ to 600.0¢
8-mosstep	Minor 8-mosstep	m8ms	8s	0.0¢ to 480.0¢
	Major 8-mosstep	M8ms	L + 7s	480.0¢ to 600.0¢
9-mosstep	Diminished 9-mosstep	d9ms	9s	0.0¢ to 540.0¢
	Perfect 9-mosstep	P9ms	L + 8s	540.0¢ to 600.0¢
10-mosstep	Perfect 10-mosstep	P10ms	L + 9s	600.0¢
11-mosstep	Perfect 11-mosstep	P11ms	L + 10s	600.0¢ to 660.0¢
	Augmented 11-mosstep	A11ms	2L + 9s	660.0¢ to 1200.0¢
12-mosstep	Minor 12-mosstep	m12ms	L + 11s	600.0¢ to 720.0¢
	Major 12-mosstep	M12ms	2L + 10s	720.0¢ to 1200.0¢
13-mosstep	Minor 13-mosstep	m13ms	L + 12s	600.0¢ to 780.0¢
	Major 13-mosstep	M13ms	2L + 11s	780.0¢ to 1200.0¢
14-mosstep	Minor 14-mosstep	m14ms	L + 13s	600.0¢ to 840.0¢
	Major 14-mosstep	M14ms	2L + 12s	840.0¢ to 1200.0¢
15-mosstep	Minor 15-mosstep	m15ms	L + 14s	600.0¢ to 900.0¢
	Major 15-mosstep	M15ms	2L + 13s	900.0¢ to 1200.0¢
16-mosstep	Minor 16-mosstep	m16ms	L + 15s	600.0¢ to 960.0¢
	Major 16-mosstep	M16ms	2L + 14s	960.0¢ to 1200.0¢
17-mosstep	Minor 17-mosstep	m17ms	L + 16s	600.0¢ to 1020.0¢
	Major 17-mosstep	M17ms	2L + 15s	1020.0¢ to 1200.0¢
18-mosstep	Minor 18-mosstep	m18ms	L + 17s	600.0¢ to 1080.0¢
	Major 18-mosstep	M18ms	2L + 16s	1080.0¢ to 1200.0¢
19-mosstep	Diminished 19-mosstep	d19ms	L + 18s	600.0¢ to 1140.0¢
	Perfect 19-mosstep	P19ms	2L + 17s	1140.0¢ to 1200.0¢
20-mosstep	Perfect 20-mosstep	P20ms	2L + 18s	1200.0¢

Scale tree

Scale Tree and Tuning Spectrum of 2L 18s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
9\20						540.000	60.000	1:1	1.000	Equalized 2L 18s
					46\102	541.176	58.824	6:5	1.200
				37\82		541.463	58.537	5:4	1.250
					65\144	541.667	58.333	9:7	1.286
			28\62			541.935	58.065	4:3	1.333	Supersoft 2L 18s
					75\166	542.169	57.831	11:8	1.375
				47\104		542.308	57.692	7:5	1.400
					66\146	542.466	57.534	10:7	1.429
		19\42				542.857	57.143	3:2	1.500	Soft 2L 18s
					67\148	543.243	56.757	11:7	1.571
				48\106		543.396	56.604	8:5	1.600
					77\170	543.529	56.471	13:8	1.625
			29\64			543.750	56.250	5:3	1.667	Semisoft 2L 18s
					68\150	544.000	56.000	12:7	1.714
				39\86		544.186	55.814	7:4	1.750
					49\108	544.444	55.556	9:5	1.800
	10\22					545.455	54.545	2:1	2.000	Basic 2L 18s Scales with tunings softer than this are proper
					41\90	546.667	53.333	9:4	2.250
				31\68		547.059	52.941	7:3	2.333
					52\114	547.368	52.632	12:5	2.400
			21\46			547.826	52.174	5:2	2.500	Semihard 2L 18s
					53\116	548.276	51.724	13:5	2.600
				32\70		548.571	51.429	8:3	2.667
					43\94	548.936	51.064	11:4	2.750
		11\24				550.000	50.000	3:1	3.000	Hard 2L 18s
					34\74	551.351	48.649	10:3	3.333
				23\50		552.000	48.000	7:2	3.500
					35\76	552.632	47.368	11:3	3.667
			12\26			553.846	46.154	4:1	4.000	Superhard 2L 18s
					25\54	555.556	44.444	9:2	4.500
				13\28		557.143	42.857	5:1	5.000
					14\30	560.000	40.000	6:1	6.000
1\2						600.000	0.000	1:0	→ ∞	Collapsed 2L 18s

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