# 12L 19s

 ↖ 11L 18s ↑12L 18s 13L 18s ↗ ← 11L 19s 12L 19s 13L 19s → ↙ 11L 20s ↓12L 20s 13L 20s ↘
```┌╥┬╥┬┬╥┬╥┬┬╥┬╥┬┬╥┬┬╥┬╥┬┬╥┬╥┬┬╥┬┬┐
│║│║││║│║││║│║││║││║│║││║│║││║│││
│││││││││││││││││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘```
Scale structure
Step pattern LsLssLsLssLsLssLssLsLssLsLssLss
ssLssLsLssLsLssLssLsLssLsLssLsL
Equave 2/1 (1200.0¢)
Period 2/1 (1200.0¢)
Generator size
Bright 18\31 to 7\12 (696.8¢ to 700.0¢)
Dark 5\12 to 13\31 (500.0¢ to 503.2¢)
TAMNAMS information
Descends from 5L 2s (diatonic)
Required step ratio range 5:3 to 2:1 (minisoft)
Related MOS scales
Parent 12L 7s
Sister 19L 12s
Daughters 31L 12s, 12L 31s
Neutralized 24L 7s
2-Flought 43L 19s, 12L 50s
Equal tunings
Equalized (L:s = 1:1) 18\31 (696.8¢)
Supersoft (L:s = 4:3) 61\105 (697.1¢)
Soft (L:s = 3:2) 43\74 (697.3¢)
Semisoft (L:s = 5:3) 68\117 (697.4¢)
Basic (L:s = 2:1) 25\43 (697.7¢)
Semihard (L:s = 5:2) 57\98 (698.0¢)
Hard (L:s = 3:1) 32\55 (698.2¢)
Superhard (L:s = 4:1) 39\67 (698.5¢)
Collapsed (L:s = 1:0) 7\12 (700.0¢)

12L 19s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 12 large steps and 19 small steps, repeating every octave. 12L 19s is a great-grandchild scale of 5L 2s, expanding it by 24 tones. Generators that produce this scale range from 696.8¢ to 700¢, or from 500¢ to 503.2¢. It is associated with sharper meantone temperaments.

## Modes

Modes of 12L 19s
UDP Rotational order Step pattern
30 | 0 1 LsLssLsLssLsLssLssLsLssLsLssLss
29 | 1 19 LsLssLsLssLssLsLssLsLssLsLssLss
28 | 2 6 LsLssLsLssLssLsLssLsLssLssLsLss
27 | 3 24 LsLssLssLsLssLsLssLsLssLssLsLss
26 | 4 11 LsLssLssLsLssLsLssLssLsLssLsLss
25 | 5 29 LssLsLssLsLssLsLssLssLsLssLsLss
24 | 6 16 LssLsLssLsLssLssLsLssLsLssLsLss
23 | 7 3 LssLsLssLsLssLssLsLssLsLssLssLs
22 | 8 21 LssLsLssLssLsLssLsLssLsLssLssLs
21 | 9 8 LssLsLssLssLsLssLsLssLssLsLssLs
20 | 10 26 LssLssLsLssLsLssLsLssLssLsLssLs
19 | 11 13 LssLssLsLssLsLssLssLsLssLsLssLs
18 | 12 31 sLsLssLsLssLsLssLssLsLssLsLssLs
17 | 13 18 sLsLssLsLssLssLsLssLsLssLsLssLs
16 | 14 5 sLsLssLsLssLssLsLssLsLssLssLsLs
15 | 15 23 sLsLssLssLsLssLsLssLsLssLssLsLs
14 | 16 10 sLsLssLssLsLssLsLssLssLsLssLsLs
13 | 17 28 sLssLsLssLsLssLsLssLssLsLssLsLs
12 | 18 15 sLssLsLssLsLssLssLsLssLsLssLsLs
11 | 19 2 sLssLsLssLsLssLssLsLssLsLssLssL
10 | 20 20 sLssLsLssLssLsLssLsLssLsLssLssL
9 | 21 7 sLssLsLssLssLsLssLsLssLssLsLssL
8 | 22 25 sLssLssLsLssLsLssLsLssLssLsLssL
7 | 23 12 sLssLssLsLssLsLssLssLsLssLsLssL
6 | 24 30 ssLsLssLsLssLsLssLssLsLssLsLssL
5 | 25 17 ssLsLssLsLssLssLsLssLsLssLsLssL
4 | 26 4 ssLsLssLsLssLssLsLssLsLssLssLsL
3 | 27 22 ssLsLssLssLsLssLsLssLsLssLssLsL
2 | 28 9 ssLsLssLssLsLssLsLssLssLsLssLsL
1 | 29 27 ssLssLsLssLsLssLsLssLssLsLssLsL
0 | 30 14 ssLssLsLssLsLssLssLsLssLsLssLsL

## Scale tree

Scale Tree and Tuning Spectrum of 12L 19s
Generator(edo) Cents Step Ratio Comments
Bright Dark L:s Hardness
18\31 696.774 503.226 1:1 1.000 Equalized 12L 19s
115\198 696.970 503.030 7:6 1.167
97\167 697.006 502.994 6:5 1.200
176\303 697.030 502.970 11:9 1.222
79\136 697.059 502.941 5:4 1.250
219\377 697.082 502.918 14:11 1.273
140\241 697.095 502.905 9:7 1.286
201\346 697.110 502.890 13:10 1.300
61\105 697.143 502.857 4:3 1.333 Supersoft 12L 19s
226\389 697.172 502.828 15:11 1.364
165\284 697.183 502.817 11:8 1.375
269\463 697.192 502.808 18:13 1.385
104\179 697.207 502.793 7:5 1.400
251\432 697.222 502.778 17:12 1.417
147\253 697.233 502.767 10:7 1.429
190\327 697.248 502.752 13:9 1.444
43\74 697.297 502.703 3:2 1.500 Soft 12L 19s
197\339 697.345 502.655 14:9 1.556
154\265 697.358 502.642 11:7 1.571
265\456 697.368 502.632 19:12 1.583
111\191 697.382 502.618 8:5 1.600
290\499 697.395 502.605 21:13 1.615
179\308 697.403 502.597 13:8 1.625
247\425 697.412 502.588 18:11 1.636
68\117 697.436 502.564 5:3 1.667 Semisoft 12L 19s
229\394 697.462 502.538 17:10 1.700
161\277 697.473 502.527 12:7 1.714
254\437 697.483 502.517 19:11 1.727
93\160 697.500 502.500 7:4 1.750
211\363 697.521 502.479 16:9 1.778
118\203 697.537 502.463 9:5 1.800
143\246 697.561 502.439 11:6 1.833
25\43 697.674 502.326 2:1 2.000 Basic 12L 19s
Scales with tunings softer than this are proper
132\227 697.797 502.203 11:5 2.200
107\184 697.826 502.174 9:4 2.250
189\325 697.846 502.154 16:7 2.286
82\141 697.872 502.128 7:3 2.333
221\380 697.895 502.105 19:8 2.375
139\239 697.908 502.092 12:5 2.400
196\337 697.923 502.077 17:7 2.429
57\98 697.959 502.041 5:2 2.500 Semihard 12L 19s
203\349 697.994 502.006 18:7 2.571
146\251 698.008 501.992 13:5 2.600
235\404 698.020 501.980 21:8 2.625
89\153 698.039 501.961 8:3 2.667
210\361 698.061 501.939 19:7 2.714
121\208 698.077 501.923 11:4 2.750
153\263 698.099 501.901 14:5 2.800
32\55 698.182 501.818 3:1 3.000 Hard 12L 19s
135\232 698.276 501.724 13:4 3.250
103\177 698.305 501.695 10:3 3.333
174\299 698.328 501.672 17:5 3.400
71\122 698.361 501.639 7:2 3.500
181\311 698.392 501.608 18:5 3.600
110\189 698.413 501.587 11:3 3.667
149\256 698.438 501.562 15:4 3.750
39\67 698.507 501.493 4:1 4.000 Superhard 12L 19s
124\213 698.592 501.408 13:3 4.333
85\146 698.630 501.370 9:2 4.500
131\225 698.667 501.333 14:3 4.667
46\79 698.734 501.266 5:1 5.000
99\170 698.824 501.176 11:2 5.500
53\91 698.901 501.099 6:1 6.000
60\103 699.029 500.971 7:1 7.000
7\12 700.000 500.000 1:0 → ∞ Collapsed 12L 19s