1L 18s

	↑ 1L 17s	2L 17s ↗
	1L 18s	2L 18s →
	↓ 1L 19s	2L 19s ↘

┌╥┬┬┬┬┬┬┬┬┬┬┬┬┬┬┬┬┬┬┐ │║│││││││││││││││││││ │││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	Lssssssssssssssssss ssssssssssssssssssL
Equave	2/1 (1200.0¢)
Period	2/1 (1200.0¢)
Generator size
Bright	18\19 to 1\1 (1136.8¢ to 1200.0¢)
Dark	0\1 to 1\19 (0.0¢ to 63.2¢)
TAMNAMS information
Descends from	1L 9s (antisinatonic)
Ancestor's step ratio range	10:1 to 1:0
Related MOS scales
Parent	1L 17s
Sister	18L 1s
Daughters	19L 1s, 1L 19s
Neutralized	2L 17s
2-Flought	20L 18s, 1L 37s
Equal tunings
Equalized (L:s = 1:1)	18\19 (1136.8¢)
Supersoft (L:s = 4:3)	55\58 (1137.9¢)
Soft (L:s = 3:2)	37\39 (1138.5¢)
Semisoft (L:s = 5:3)	56\59 (1139.0¢)
Basic (L:s = 2:1)	19\20 (1140.0¢)
Semihard (L:s = 5:2)	39\41 (1141.5¢)
Hard (L:s = 3:1)	20\21 (1142.9¢)
Superhard (L:s = 4:1)	21\22 (1145.5¢)
Collapsed (L:s = 1:0)	1\1 (1200.0¢)

1L 18s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 1 large step and 18 small steps, repeating every octave. 1L 18s is related to 1L 9s, expanding it by 9 tones. Generators that produce this scale range from 1136.8¢ to 1200¢, or from 0¢ to 63.2¢.

Modes

Modes of 1L 18s

UDP	Cyclic order	Step pattern
18|0	1	Lssssssssssssssssss
17|1	19	sLsssssssssssssssss
16|2	18	ssLssssssssssssssss
15|3	17	sssLsssssssssssssss
14|4	16	ssssLssssssssssssss
13|5	15	sssssLsssssssssssss
12|6	14	ssssssLssssssssssss
11|7	13	sssssssLsssssssssss
10|8	12	ssssssssLssssssssss
9|9	11	sssssssssLsssssssss
8|10	10	ssssssssssLssssssss
7|11	9	sssssssssssLsssssss
6|12	8	ssssssssssssLssssss
5|13	7	sssssssssssssLsssss
4|14	6	ssssssssssssssLssss
3|15	5	sssssssssssssssLsss
2|16	4	ssssssssssssssssLss
1|17	3	sssssssssssssssssLs
0|18	2	ssssssssssssssssssL

Intervals

Intervals of 1L 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 63.2¢
	Augmented 1-mosstep	A1ms	L	63.2¢ to 1200.0¢
2-mosstep	Minor 2-mosstep	m2ms	2s	0.0¢ to 126.3¢
	Major 2-mosstep	M2ms	L + s	126.3¢ to 1200.0¢
3-mosstep	Minor 3-mosstep	m3ms	3s	0.0¢ to 189.5¢
	Major 3-mosstep	M3ms	L + 2s	189.5¢ to 1200.0¢
4-mosstep	Minor 4-mosstep	m4ms	4s	0.0¢ to 252.6¢
	Major 4-mosstep	M4ms	L + 3s	252.6¢ to 1200.0¢
5-mosstep	Minor 5-mosstep	m5ms	5s	0.0¢ to 315.8¢
	Major 5-mosstep	M5ms	L + 4s	315.8¢ to 1200.0¢
6-mosstep	Minor 6-mosstep	m6ms	6s	0.0¢ to 378.9¢
	Major 6-mosstep	M6ms	L + 5s	378.9¢ to 1200.0¢
7-mosstep	Minor 7-mosstep	m7ms	7s	0.0¢ to 442.1¢
	Major 7-mosstep	M7ms	L + 6s	442.1¢ to 1200.0¢
8-mosstep	Minor 8-mosstep	m8ms	8s	0.0¢ to 505.3¢
	Major 8-mosstep	M8ms	L + 7s	505.3¢ to 1200.0¢
9-mosstep	Minor 9-mosstep	m9ms	9s	0.0¢ to 568.4¢
	Major 9-mosstep	M9ms	L + 8s	568.4¢ to 1200.0¢
10-mosstep	Minor 10-mosstep	m10ms	10s	0.0¢ to 631.6¢
	Major 10-mosstep	M10ms	L + 9s	631.6¢ to 1200.0¢
11-mosstep	Minor 11-mosstep	m11ms	11s	0.0¢ to 694.7¢
	Major 11-mosstep	M11ms	L + 10s	694.7¢ to 1200.0¢
12-mosstep	Minor 12-mosstep	m12ms	12s	0.0¢ to 757.9¢
	Major 12-mosstep	M12ms	L + 11s	757.9¢ to 1200.0¢
13-mosstep	Minor 13-mosstep	m13ms	13s	0.0¢ to 821.1¢
	Major 13-mosstep	M13ms	L + 12s	821.1¢ to 1200.0¢
14-mosstep	Minor 14-mosstep	m14ms	14s	0.0¢ to 884.2¢
	Major 14-mosstep	M14ms	L + 13s	884.2¢ to 1200.0¢
15-mosstep	Minor 15-mosstep	m15ms	15s	0.0¢ to 947.4¢
	Major 15-mosstep	M15ms	L + 14s	947.4¢ to 1200.0¢
16-mosstep	Minor 16-mosstep	m16ms	16s	0.0¢ to 1010.5¢
	Major 16-mosstep	M16ms	L + 15s	1010.5¢ to 1200.0¢
17-mosstep	Minor 17-mosstep	m17ms	17s	0.0¢ to 1073.7¢
	Major 17-mosstep	M17ms	L + 16s	1073.7¢ to 1200.0¢
18-mosstep	Diminished 18-mosstep	d18ms	18s	0.0¢ to 1136.8¢
	Perfect 18-mosstep	P18ms	L + 17s	1136.8¢ to 1200.0¢
19-mosstep	Perfect 19-mosstep	P19ms	L + 18s	1200.0¢

Scale tree

Scale Tree and Tuning Spectrum of 1L 18s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
18\19						1136.842	63.158	1:1	1.000	Equalized 1L 18s
					91\96	1137.500	62.500	6:5	1.200
				73\77		1137.662	62.338	5:4	1.250
					128\135	1137.778	62.222	9:7	1.286
			55\58			1137.931	62.069	4:3	1.333	Supersoft 1L 18s
					147\155	1138.065	61.935	11:8	1.375
				92\97		1138.144	61.856	7:5	1.400
					129\136	1138.235	61.765	10:7	1.429
		37\39				1138.462	61.538	3:2	1.500	Soft 1L 18s
					130\137	1138.686	61.314	11:7	1.571
				93\98		1138.776	61.224	8:5	1.600
					149\157	1138.854	61.146	13:8	1.625
			56\59			1138.983	61.017	5:3	1.667	Semisoft 1L 18s
					131\138	1139.130	60.870	12:7	1.714
				75\79		1139.241	60.759	7:4	1.750
					94\99	1139.394	60.606	9:5	1.800
	19\20					1140.000	60.000	2:1	2.000	Basic 1L 18s Scales with tunings softer than this are proper
					77\81	1140.741	59.259	9:4	2.250
				58\61		1140.984	59.016	7:3	2.333
					97\102	1141.176	58.824	12:5	2.400
			39\41			1141.463	58.537	5:2	2.500	Semihard 1L 18s
					98\103	1141.748	58.252	13:5	2.600
				59\62		1141.935	58.065	8:3	2.667
					79\83	1142.169	57.831	11:4	2.750
		20\21				1142.857	57.143	3:1	3.000	Hard 1L 18s
					61\64	1143.750	56.250	10:3	3.333
				41\43		1144.186	55.814	7:2	3.500
					62\65	1144.615	55.385	11:3	3.667
			21\22			1145.455	54.545	4:1	4.000	Superhard 1L 18s
					43\45	1146.667	53.333	9:2	4.500
				22\23		1147.826	52.174	5:1	5.000
					23\24	1150.000	50.000	6:1	6.000
1\1						1200.000	0.000	1:0	→ ∞	Collapsed 1L 18s

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