1L 19s

1L 19s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 1 large step and 19 small steps, repeating every octave. 1L 19s is related to 1L 9s, expanding it by 10 tones. Generators that produce this scale range from 1140 ¢ to 1200 ¢, or from 0 ¢ to 60 ¢.

	↑ 1L 18s	2L 18s ↗
	1L 19s	2L 19s →
	↓ 1L 20s	2L 20s ↘

Scale structure
Step pattern	Lsssssssssssssssssss sssssssssssssssssssL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	19\20 to 1\1 (1140.0 ¢ to 1200.0 ¢)
Dark	0\1 to 1\20 (0.0 ¢ to 60.0 ¢)
TAMNAMS information
Related to	1L 9s (antisinatonic)
With tunings	11:1 to 1:0
Related MOS scales
Parent	1L 18s
Sister	19L 1s
Daughters	20L 1s, 1L 20s
Neutralized	2L 18s
2-Flought	21L 19s, 1L 39s
Equal tunings
Equalized (L:s = 1:1)	19\20 (1140.0 ¢)
Supersoft (L:s = 4:3)	58\61 (1141.0 ¢)
Soft (L:s = 3:2)	39\41 (1141.5 ¢)
Semisoft (L:s = 5:3)	59\62 (1141.9 ¢)
Basic (L:s = 2:1)	20\21 (1142.9 ¢)
Semihard (L:s = 5:2)	41\43 (1144.2 ¢)
Hard (L:s = 3:1)	21\22 (1145.5 ¢)
Superhard (L:s = 4:1)	22\23 (1147.8 ¢)
Collapsed (L:s = 1:0)	1\1 (1200.0 ¢)
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Modes

Modes of 1L 19s

UDP	Cyclic order	Step pattern
19|0	1	Lsssssssssssssssssss
18|1	20	sLssssssssssssssssss
17|2	19	ssLsssssssssssssssss
16|3	18	sssLssssssssssssssss
15|4	17	ssssLsssssssssssssss
14|5	16	sssssLssssssssssssss
13|6	15	ssssssLsssssssssssss
12|7	14	sssssssLssssssssssss
11|8	13	ssssssssLsssssssssss
10|9	12	sssssssssLssssssssss
9|10	11	ssssssssssLsssssssss
8|11	10	sssssssssssLssssssss
7|12	9	ssssssssssssLsssssss
6|13	8	sssssssssssssLssssss
5|14	7	ssssssssssssssLsssss
4|15	6	sssssssssssssssLssss
3|16	5	ssssssssssssssssLsss
2|17	4	sssssssssssssssssLss
1|18	3	ssssssssssssssssssLs
0|19	2	sssssssssssssssssssL

Intervals

Intervals of 1L 19s

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 1200.0 ¢
2-mosstep	Minor 2-mosstep	m2ms	2s	0.0 ¢ to 120.0 ¢
	Major 2-mosstep	M2ms	L + s	120.0 ¢ to 1200.0 ¢
3-mosstep	Minor 3-mosstep	m3ms	3s	0.0 ¢ to 180.0 ¢
	Major 3-mosstep	M3ms	L + 2s	180.0 ¢ to 1200.0 ¢
4-mosstep	Minor 4-mosstep	m4ms	4s	0.0 ¢ to 240.0 ¢
	Major 4-mosstep	M4ms	L + 3s	240.0 ¢ to 1200.0 ¢
5-mosstep	Minor 5-mosstep	m5ms	5s	0.0 ¢ to 300.0 ¢
	Major 5-mosstep	M5ms	L + 4s	300.0 ¢ to 1200.0 ¢
6-mosstep	Minor 6-mosstep	m6ms	6s	0.0 ¢ to 360.0 ¢
	Major 6-mosstep	M6ms	L + 5s	360.0 ¢ to 1200.0 ¢
7-mosstep	Minor 7-mosstep	m7ms	7s	0.0 ¢ to 420.0 ¢
	Major 7-mosstep	M7ms	L + 6s	420.0 ¢ to 1200.0 ¢
8-mosstep	Minor 8-mosstep	m8ms	8s	0.0 ¢ to 480.0 ¢
	Major 8-mosstep	M8ms	L + 7s	480.0 ¢ to 1200.0 ¢
9-mosstep	Minor 9-mosstep	m9ms	9s	0.0 ¢ to 540.0 ¢
	Major 9-mosstep	M9ms	L + 8s	540.0 ¢ to 1200.0 ¢
10-mosstep	Minor 10-mosstep	m10ms	10s	0.0 ¢ to 600.0 ¢
	Major 10-mosstep	M10ms	L + 9s	600.0 ¢ to 1200.0 ¢
11-mosstep	Minor 11-mosstep	m11ms	11s	0.0 ¢ to 660.0 ¢
	Major 11-mosstep	M11ms	L + 10s	660.0 ¢ to 1200.0 ¢
12-mosstep	Minor 12-mosstep	m12ms	12s	0.0 ¢ to 720.0 ¢
	Major 12-mosstep	M12ms	L + 11s	720.0 ¢ to 1200.0 ¢
13-mosstep	Minor 13-mosstep	m13ms	13s	0.0 ¢ to 780.0 ¢
	Major 13-mosstep	M13ms	L + 12s	780.0 ¢ to 1200.0 ¢
14-mosstep	Minor 14-mosstep	m14ms	14s	0.0 ¢ to 840.0 ¢
	Major 14-mosstep	M14ms	L + 13s	840.0 ¢ to 1200.0 ¢
15-mosstep	Minor 15-mosstep	m15ms	15s	0.0 ¢ to 900.0 ¢
	Major 15-mosstep	M15ms	L + 14s	900.0 ¢ to 1200.0 ¢
16-mosstep	Minor 16-mosstep	m16ms	16s	0.0 ¢ to 960.0 ¢
	Major 16-mosstep	M16ms	L + 15s	960.0 ¢ to 1200.0 ¢
17-mosstep	Minor 17-mosstep	m17ms	17s	0.0 ¢ to 1020.0 ¢
	Major 17-mosstep	M17ms	L + 16s	1020.0 ¢ to 1200.0 ¢
18-mosstep	Minor 18-mosstep	m18ms	18s	0.0 ¢ to 1080.0 ¢
	Major 18-mosstep	M18ms	L + 17s	1080.0 ¢ to 1200.0 ¢
19-mosstep	Diminished 19-mosstep	d19ms	19s	0.0 ¢ to 1140.0 ¢
	Perfect 19-mosstep	P19ms	L + 18s	1140.0 ¢ to 1200.0 ¢
20-mosstep	Perfect 20-mosstep	P20ms	L + 19s	1200.0 ¢

Scale tree

Scale tree and tuning spectrum of 1L 19s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
19\20						1140.000	60.000	1:1	1.000	Equalized 1L 19s
					96\101	1140.594	59.406	6:5	1.200
				77\81		1140.741	59.259	5:4	1.250
					135\142	1140.845	59.155	9:7	1.286
			58\61			1140.984	59.016	4:3	1.333	Supersoft 1L 19s
					155\163	1141.104	58.896	11:8	1.375
				97\102		1141.176	58.824	7:5	1.400
					136\143	1141.259	58.741	10:7	1.429
		39\41				1141.463	58.537	3:2	1.500	Soft 1L 19s
					137\144	1141.667	58.333	11:7	1.571
				98\103		1141.748	58.252	8:5	1.600
					157\165	1141.818	58.182	13:8	1.625
			59\62			1141.935	58.065	5:3	1.667	Semisoft 1L 19s
					138\145	1142.069	57.931	12:7	1.714
				79\83		1142.169	57.831	7:4	1.750
					99\104	1142.308	57.692	9:5	1.800
	20\21					1142.857	57.143	2:1	2.000	Basic 1L 19s Scales with tunings softer than this are proper
					81\85	1143.529	56.471	9:4	2.250
				61\64		1143.750	56.250	7:3	2.333
					102\107	1143.925	56.075	12:5	2.400
			41\43			1144.186	55.814	5:2	2.500	Semihard 1L 19s
					103\108	1144.444	55.556	13:5	2.600
				62\65		1144.615	55.385	8:3	2.667
					83\87	1144.828	55.172	11:4	2.750
		21\22				1145.455	54.545	3:1	3.000	Hard 1L 19s
					64\67	1146.269	53.731	10:3	3.333
				43\45		1146.667	53.333	7:2	3.500
					65\68	1147.059	52.941	11:3	3.667
			22\23			1147.826	52.174	4:1	4.000	Superhard 1L 19s
					45\47	1148.936	51.064	9:2	4.500
				23\24		1150.000	50.000	5:1	5.000
					24\25	1152.000	48.000	6:1	6.000
1\1						1200.000	0.000	1:0	→ ∞	Collapsed 1L 19s

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