3L 19s

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↖ 2L 18s ↑ 3L 18s 4L 18s ↗
← 2L 19s 3L 19s 4L 19s →
↙ 2L 20s ↓ 3L 20s 4L 20s ↘ 
┌╥┬┬┬┬┬┬╥┬┬┬┬┬┬╥┬┬┬┬┬┬┬┐
│║││││││║││││││║││││││││
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└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
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)
Ancestor's 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 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

Intervals

Intervals of 3L 19s
Intervals Steps
subtended 		Range in cents
Generic Specific Abbrev.
0-mosstep Perfect 0-mosstep P0ms 0 0.0 ¢
1-mosstep Minor 1-mosstep m1ms s 0.0 ¢ to 54.5 ¢
Major 1-mosstep M1ms L 54.5 ¢ to 400.0 ¢
2-mosstep Minor 2-mosstep m2ms 2s 0.0 ¢ to 109.1 ¢
Major 2-mosstep M2ms L + s 109.1 ¢ to 400.0 ¢
3-mosstep Minor 3-mosstep m3ms 3s 0.0 ¢ to 163.6 ¢
Major 3-mosstep M3ms L + 2s 163.6 ¢ to 400.0 ¢
4-mosstep Minor 4-mosstep m4ms 4s 0.0 ¢ to 218.2 ¢
Major 4-mosstep M4ms L + 3s 218.2 ¢ to 400.0 ¢
5-mosstep Minor 5-mosstep m5ms 5s 0.0 ¢ to 272.7 ¢
Major 5-mosstep M5ms L + 4s 272.7 ¢ to 400.0 ¢
6-mosstep Minor 6-mosstep m6ms 6s 0.0 ¢ to 327.3 ¢
Major 6-mosstep M6ms L + 5s 327.3 ¢ to 400.0 ¢
7-mosstep Diminished 7-mosstep d7ms 7s 0.0 ¢ to 381.8 ¢
Perfect 7-mosstep P7ms L + 6s 381.8 ¢ to 400.0 ¢
8-mosstep Minor 8-mosstep m8ms L + 7s 400.0 ¢ to 436.4 ¢
Major 8-mosstep M8ms 2L + 6s 436.4 ¢ to 800.0 ¢
9-mosstep Minor 9-mosstep m9ms L + 8s 400.0 ¢ to 490.9 ¢
Major 9-mosstep M9ms 2L + 7s 490.9 ¢ to 800.0 ¢
10-mosstep Minor 10-mosstep m10ms L + 9s 400.0 ¢ to 545.5 ¢
Major 10-mosstep M10ms 2L + 8s 545.5 ¢ to 800.0 ¢
11-mosstep Minor 11-mosstep m11ms L + 10s 400.0 ¢ to 600.0 ¢
Major 11-mosstep M11ms 2L + 9s 600.0 ¢ to 800.0 ¢
12-mosstep Minor 12-mosstep m12ms L + 11s 400.0 ¢ to 654.5 ¢
Major 12-mosstep M12ms 2L + 10s 654.5 ¢ to 800.0 ¢
13-mosstep Minor 13-mosstep m13ms L + 12s 400.0 ¢ to 709.1 ¢
Major 13-mosstep M13ms 2L + 11s 709.1 ¢ to 800.0 ¢
14-mosstep Minor 14-mosstep m14ms L + 13s 400.0 ¢ to 763.6 ¢
Major 14-mosstep M14ms 2L + 12s 763.6 ¢ to 800.0 ¢
15-mosstep Perfect 15-mosstep P15ms 2L + 13s 800.0 ¢ to 818.2 ¢
Augmented 15-mosstep A15ms 3L + 12s 818.2 ¢ to 1200.0 ¢
16-mosstep Minor 16-mosstep m16ms 2L + 14s 800.0 ¢ to 872.7 ¢
Major 16-mosstep M16ms 3L + 13s 872.7 ¢ to 1200.0 ¢
17-mosstep Minor 17-mosstep m17ms 2L + 15s 800.0 ¢ to 927.3 ¢
Major 17-mosstep M17ms 3L + 14s 927.3 ¢ to 1200.0 ¢
18-mosstep Minor 18-mosstep m18ms 2L + 16s 800.0 ¢ to 981.8 ¢
Major 18-mosstep M18ms 3L + 15s 981.8 ¢ to 1200.0 ¢
19-mosstep Minor 19-mosstep m19ms 2L + 17s 800.0 ¢ to 1036.4 ¢
Major 19-mosstep M19ms 3L + 16s 1036.4 ¢ to 1200.0 ¢
20-mosstep Minor 20-mosstep m20ms 2L + 18s 800.0 ¢ to 1090.9 ¢
Major 20-mosstep M20ms 3L + 17s 1090.9 ¢ to 1200.0 ¢
21-mosstep Minor 21-mosstep m21ms 2L + 19s 800.0 ¢ to 1145.5 ¢
Major 21-mosstep M21ms 3L + 18s 1145.5 ¢ to 1200.0 ¢
22-mosstep Perfect 22-mosstep P22ms 3L + 19s 1200.0 ¢

Scale tree

Icon-Deprecated.png Scale tree is deprecated. Please use Template: MOS tuning spectrum instead.
Use of a single Comments parameter has become unmaintainable. Existing scale trees should be migrated to the new template, where comments are entered using a step ratio p/q as a parameter: 
{{MOS tuning spectrum
| 3/2 = Example comment
| 4/3 = Another example comment
}}


The parameters tuning and depth have been replaced with Scale Signature and Depth, respectively.


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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