3L 19s

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↖ 2L 18s ↑3L 18s 4L 18s ↗
← 2L 19s3L 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
Descends from 3L 7s (sephiroid)
Required step ratio range 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 Rotational 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

Scale tree

Scale Tree and Tuning Spectrum of 3L 19s
Generator(edo) Cents Step Ratio Comments
Bright Dark L:s Hardness
7\22 381.818 818.182 1:1 1.000 Equalized 3L 19s
36\113 382.301 817.699 6:5 1.200
29\91 382.418 817.582 5:4 1.250
51\160 382.500 817.500 9:7 1.286
22\69 382.609 817.391 4:3 1.333 Supersoft 3L 19s
59\185 382.703 817.297 11:8 1.375
37\116 382.759 817.241 7:5 1.400
52\163 382.822 817.178 10:7 1.429
15\47 382.979 817.021 3:2 1.500 Soft 3L 19s
53\166 383.133 816.867 11:7 1.571
38\119 383.193 816.807 8:5 1.600
61\191 383.246 816.754 13:8 1.625
23\72 383.333 816.667 5:3 1.667 Semisoft 3L 19s
54\169 383.432 816.568 12:7 1.714
31\97 383.505 816.495 7:4 1.750
39\122 383.607 816.393 9:5 1.800
8\25 384.000 816.000 2:1 2.000 Basic 3L 19s
Scales with tunings softer than this are proper
33\103 384.466 815.534 9:4 2.250
25\78 384.615 815.385 7:3 2.333
42\131 384.733 815.267 12:5 2.400
17\53 384.906 815.094 5:2 2.500 Semihard 3L 19s
43\134 385.075 814.925 13:5 2.600
26\81 385.185 814.815 8:3 2.667
35\109 385.321 814.679 11:4 2.750
9\28 385.714 814.286 3:1 3.000 Hard 3L 19s
28\87 386.207 813.793 10:3 3.333
19\59 386.441 813.559 7:2 3.500
29\90 386.667 813.333 11:3 3.667
10\31 387.097 812.903 4:1 4.000 Superhard 3L 19s
21\65 387.692 812.308 9:2 4.500
11\34 388.235 811.765 5:1 5.000
12\37 389.189 810.811 6:1 6.000
1\3 400.000 800.000 1:0 → ∞ Collapsed 3L 19s
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