3L 19s

↖ 2L 18s	↑ 3L 18s	4L 18s ↗
← 2L 19s	3L 19s	4L 19s →
↙ 2L 20s	↓ 3L 20s	4L 20s ↘

┌╥┬┬┬┬┬┬╥┬┬┬┬┬┬╥┬┬┬┬┬┬┬┐ │║││││││║││││││║││││││││ ││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LssssssLssssssLsssssss sssssssLssssssLssssssL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	7\22 to 1\3 (381.8 ¢ to 400.0 ¢)
Dark	2\3 to 15\22 (800.0 ¢ to 818.2 ¢)
TAMNAMS information
Related to	3L 7s (sephiroid)
With tunings	5:1 to 1:0
Related MOS scales
Parent	3L 16s
Sister	19L 3s
Daughters	22L 3s, 3L 22s
Neutralized	6L 16s
2-Flought	25L 19s, 3L 41s
Equal tunings
Equalized (L:s = 1:1)	7\22 (381.8 ¢)
Supersoft (L:s = 4:3)	22\69 (382.6 ¢)
Soft (L:s = 3:2)	15\47 (383.0 ¢)
Semisoft (L:s = 5:3)	23\72 (383.3 ¢)
Basic (L:s = 2:1)	8\25 (384.0 ¢)
Semihard (L:s = 5:2)	17\53 (384.9 ¢)
Hard (L:s = 3:1)	9\28 (385.7 ¢)
Superhard (L:s = 4:1)	10\31 (387.1 ¢)
Collapsed (L:s = 1:0)	1\3 (400.0 ¢)

3L 19s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 3 large steps and 19 small steps, repeating every octave. 3L 19s is related to 3L 7s, expanding it by 12 tones. Generators that produce this scale range from 381.8 ¢ to 400 ¢, or from 800 ¢ to 818.2 ¢.

Modes

Modes of 3L 19s

UDP	Cyclic order	Step pattern
21|0	1	LssssssLssssssLsssssss
20|1	8	LssssssLsssssssLssssss
19|2	15	LsssssssLssssssLssssss
18|3	22	sLssssssLssssssLssssss
17|4	7	sLssssssLsssssssLsssss
16|5	14	sLsssssssLssssssLsssss
15|6	21	ssLssssssLssssssLsssss
14|7	6	ssLssssssLsssssssLssss
13|8	13	ssLsssssssLssssssLssss
12|9	20	sssLssssssLssssssLssss
11|10	5	sssLssssssLsssssssLsss
10|11	12	sssLsssssssLssssssLsss
9|12	19	ssssLssssssLssssssLsss
8|13	4	ssssLssssssLsssssssLss
7|14	11	ssssLsssssssLssssssLss
6|15	18	sssssLssssssLssssssLss
5|16	3	sssssLssssssLsssssssLs
4|17	10	sssssLsssssssLssssssLs
3|18	17	ssssssLssssssLssssssLs
2|19	2	ssssssLssssssLsssssssL
1|20	9	ssssssLsssssssLssssssL
0|21	16	sssssssLssssssLssssssL

Tuning spectrum

generator										L	s	L/s	gen (cents)	comment
1\3										1	0		400.000
									16\49	10	1	10.000	391.837
								15\46		9	1	9.000	391.304
									29\89	17	2	8.500	391.011
							14\43			8	1	8.000	390.698
								27\83		15	2	7.500	390.361
						13\40				7	1	7.000	390.000
								38\117		20	3	6.667	389.744
							25\77			13	2	6.500	389.610
								37\114		19	3	6.333	389.474
					12\37					6	1	6.000	389.189
							35\108			17	3	5.667	388.889
						23\71				11	2	5.500	388.732
							34\105			16	3	5.333	388.571
				11\34						5	1	5.000	388.235
						32\99				14	3	4.667	387.879
					21\65					9	2	4.500	387.692
						31\96				13	3	4.333	387.500
			10\31							4	1	4.000	387.097
					29\90					11	3	3.667	386.667
				19\59						7	2	3.500	386.441
					28\87					10	3	3.333	386.207
						37\115				13	4	3.250	386.087
		9\28								3	1	3.000	385.714
					35\109					11	4	2.750	385.321
				26\81						8	3	2.667	385.185
			17\53							5	2	2.500	384.906
				25\78						7	3	2.333	384.615
					33\103					9	4	2.250	384.466
	8\25									2	1	2.000	384.000
				31\97						7	4	1.750	383.505
			23\72							5	3	1.667	383.333
				38\119						8	5	1.600	383.193
		15\47								3	2	1.500	382.979
				37\116						7	5	1.400	382.759
			22\69							4	3	1.333	382.609
				29\91						5	4	1.250	382.418
					36\113					6	5	1.200	382.301
						43\135				7	6	1.167	382.222
							50\157			8	7	1.143	382.166
								57\179		9	8	1.125	382.123
									64\201	10	9	1.111	382.09
7\22										1	1	1.000	381.818