12L 19s
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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
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¢)
↖11L 18s | ↑12L 18s | 13L 18s↗ |
←11L 19s | 12L 19s | 13L 19s→ |
↙11L 20s | ↓12L 20s | 13L 20s↘ |
┌╥┬╥┬┬╥┬╥┬┬╥┬╥┬┬╥┬┬╥┬╥┬┬╥┬╥┬┬╥┬┬┐ │║│║││║│║││║│║││║││║│║││║│║││║│││ │││││││││││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
ssLssLsLssLsLssLssLsLssLsLssLsL
12L 31s
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
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
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 |