# 5L 19s

 ↖ 4L 18s ↑5L 18s 6L 18s ↗ ← 4L 19s 5L 19s 6L 19s → ↙ 4L 20s ↓5L 20s 6L 20s ↘
```┌╥┬┬┬╥┬┬┬┬╥┬┬┬┬╥┬┬┬┬╥┬┬┬┬┐
│║│││║││││║││││║││││║│││││
││││││││││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘```
Scale structure
Step pattern LsssLssssLssssLssssLssss
ssssLssssLssssLssssLsssL
Equave 2/1 (1200.0¢)
Period 2/1 (1200.0¢)
Generator size
Bright 19\24 to 4\5 (950.0¢ to 960.0¢)
Dark 1\5 to 5\24 (240.0¢ to 250.0¢)
TAMNAMS information
Descends from 5L 4s (semiquartal)
Required step ratio range 4:1 to 1:0 (ultrahard)
Related MOS scales
Parent 5L 14s
Sister 19L 5s
Daughters 24L 5s, 5L 24s
Neutralized 10L 14s
2-Flought 29L 19s, 5L 43s
Equal tunings
Equalized (L:s = 1:1) 19\24 (950.0¢)
Supersoft (L:s = 4:3) 61\77 (950.6¢)
Soft (L:s = 3:2) 42\53 (950.9¢)
Semisoft (L:s = 5:3) 65\82 (951.2¢)
Basic (L:s = 2:1) 23\29 (951.7¢)
Semihard (L:s = 5:2) 50\63 (952.4¢)
Hard (L:s = 3:1) 27\34 (952.9¢)
Superhard (L:s = 4:1) 31\39 (953.8¢)
Collapsed (L:s = 1:0) 4\5 (960.0¢)

5L 19s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 5 large steps and 19 small steps, repeating every octave. 5L 19s is a great-grandchild scale of 5L 4s, expanding it by 15 tones. Generators that produce this scale range from 950¢ to 960¢, or from 240¢ to 250¢.

## Modes

Modes of 5L 19s
UDP Rotational order Step pattern
23|0 1 LsssLssssLssssLssssLssss
22|1 20 LssssLsssLssssLssssLssss
21|2 15 LssssLssssLsssLssssLssss
20|3 10 LssssLssssLssssLsssLssss
19|4 5 LssssLssssLssssLssssLsss
18|5 24 sLsssLssssLssssLssssLsss
17|6 19 sLssssLsssLssssLssssLsss
16|7 14 sLssssLssssLsssLssssLsss
15|8 9 sLssssLssssLssssLsssLsss
14|9 4 sLssssLssssLssssLssssLss
13|10 23 ssLsssLssssLssssLssssLss
12|11 18 ssLssssLsssLssssLssssLss
11|12 13 ssLssssLssssLsssLssssLss
10|13 8 ssLssssLssssLssssLsssLss
9|14 3 ssLssssLssssLssssLssssLs
8|15 22 sssLsssLssssLssssLssssLs
7|16 17 sssLssssLsssLssssLssssLs
6|17 12 sssLssssLssssLsssLssssLs
5|18 7 sssLssssLssssLssssLsssLs
4|19 2 sssLssssLssssLssssLssssL
3|20 21 ssssLsssLssssLssssLssssL
2|21 16 ssssLssssLsssLssssLssssL
1|22 11 ssssLssssLssssLsssLssssL
0|23 6 ssssLssssLssssLssssLsssL

## Scale tree

Scale Tree and Tuning Spectrum of 5L 19s
Bright Dark L:s Hardness
19\24 950.000 250.000 1:1 1.000 Equalized 5L 19s
99\125 950.400 249.600 6:5 1.200
80\101 950.495 249.505 5:4 1.250
141\178 950.562 249.438 9:7 1.286
61\77 950.649 249.351 4:3 1.333 Supersoft 5L 19s
164\207 950.725 249.275 11:8 1.375
103\130 950.769 249.231 7:5 1.400
145\183 950.820 249.180 10:7 1.429
42\53 950.943 249.057 3:2 1.500 Soft 5L 19s
149\188 951.064 248.936 11:7 1.571
107\135 951.111 248.889 8:5 1.600
172\217 951.152 248.848 13:8 1.625
65\82 951.220 248.780 5:3 1.667 Semisoft 5L 19s
153\193 951.295 248.705 12:7 1.714
88\111 951.351 248.649 7:4 1.750
111\140 951.429 248.571 9:5 1.800
23\29 951.724 248.276 2:1 2.000 Basic 5L 19s
Scales with tunings softer than this are proper
96\121 952.066 247.934 9:4 2.250
73\92 952.174 247.826 7:3 2.333
123\155 952.258 247.742 12:5 2.400
50\63 952.381 247.619 5:2 2.500 Semihard 5L 19s
127\160 952.500 247.500 13:5 2.600
77\97 952.577 247.423 8:3 2.667
104\131 952.672 247.328 11:4 2.750
27\34 952.941 247.059 3:1 3.000 Hard 5L 19s
85\107 953.271 246.729 10:3 3.333
58\73 953.425 246.575 7:2 3.500
89\112 953.571 246.429 11:3 3.667
31\39 953.846 246.154 4:1 4.000 Superhard 5L 19s
66\83 954.217 245.783 9:2 4.500
35\44 954.545 245.455 5:1 5.000
39\49 955.102 244.898 6:1 6.000
4\5 960.000 240.000 1:0 → ∞ Collapsed 5L 19s
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