19L 12s

From Xenharmonic Wiki
Jump to navigation Jump to search
↖ 18L 11s↑ 19L 11s 20L 11s ↗
← 18L 12s19L 12s20L 12s →
↙ 18L 13s↓ 19L 13s 20L 13s ↘
 
┌╥╥┬╥╥┬╥┬╥╥┬╥┬╥╥┬╥╥┬╥┬╥╥┬╥┬╥╥┬╥┬┐
│║║│║║│║│║║│║│║║│║║│║│║║│║│║║│║││
│││││││││││││││││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLsLLsLsLLsLsLLsLLsLsLLsLsLLsLs
sLsLLsLsLLsLsLLsLLsLsLLsLsLLsLL
Equave 2/1 (1200.0¢)
Period 2/1 (1200.0¢)
Generator size
Bright 13\31 to 8\19 (503.2¢ to 505.3¢)
Dark 11\19 to 18\31 (694.7¢ to 696.8¢)
TAMNAMS information
Descends from 5L 2s (diatonic)
Ancestor's step ratio range 3:2 to 5:3 (quasisoft)
Related MOS scales
Parent 12L 7s
Sister 12L 19s
Daughters 31L 19s, 19L 31s
Neutralized 7L 24s
2-Flought 50L 12s, 19L 43s
Equal tunings
Equalized (L:s = 1:1) 13\31 (503.2¢)
Supersoft (L:s = 4:3) 47\112 (503.6¢)
Soft (L:s = 3:2) 34\81 (503.7¢)
Semisoft (L:s = 5:3) 55\131 (503.8¢)
Basic (L:s = 2:1) 21\50 (504.0¢)
Semihard (L:s = 5:2) 50\119 (504.2¢)
Hard (L:s = 3:1) 29\69 (504.3¢)
Superhard (L:s = 4:1) 37\88 (504.5¢)
Collapsed (L:s = 1:0) 8\19 (505.3¢)

19L 12s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 19 large steps and 12 small steps, repeating every octave. 19L 12s is a great-grandchild scale of 5L 2s, expanding it by 24 tones. Generators that produce this scale range from 503.2¢ to 505.3¢, or from 694.7¢ to 696.8¢. It is associated with flatter meantone temperaments.

Modes

Modes of 19L 12s
UDP Cyclic
order		 Step
pattern
30|0 1 LLsLLsLsLLsLsLLsLLsLsLLsLsLLsLs
29|1 14 LLsLLsLsLLsLsLLsLsLLsLLsLsLLsLs
28|2 27 LLsLsLLsLLsLsLLsLsLLsLLsLsLLsLs
27|3 9 LLsLsLLsLLsLsLLsLsLLsLsLLsLLsLs
26|4 22 LLsLsLLsLsLLsLLsLsLLsLsLLsLLsLs
25|5 4 LLsLsLLsLsLLsLLsLsLLsLsLLsLsLLs
24|6 17 LLsLsLLsLsLLsLsLLsLLsLsLLsLsLLs
23|7 30 LsLLsLLsLsLLsLsLLsLLsLsLLsLsLLs
22|8 12 LsLLsLLsLsLLsLsLLsLsLLsLLsLsLLs
21|9 25 LsLLsLsLLsLLsLsLLsLsLLsLLsLsLLs
20|10 7 LsLLsLsLLsLLsLsLLsLsLLsLsLLsLLs
19|11 20 LsLLsLsLLsLsLLsLLsLsLLsLsLLsLLs
18|12 2 LsLLsLsLLsLsLLsLLsLsLLsLsLLsLsL
17|13 15 LsLLsLsLLsLsLLsLsLLsLLsLsLLsLsL
16|14 28 LsLsLLsLLsLsLLsLsLLsLLsLsLLsLsL
15|15 10 LsLsLLsLLsLsLLsLsLLsLsLLsLLsLsL
14|16 23 LsLsLLsLsLLsLLsLsLLsLsLLsLLsLsL
13|17 5 LsLsLLsLsLLsLLsLsLLsLsLLsLsLLsL
12|18 18 LsLsLLsLsLLsLsLLsLLsLsLLsLsLLsL
11|19 31 sLLsLLsLsLLsLsLLsLLsLsLLsLsLLsL
10|20 13 sLLsLLsLsLLsLsLLsLsLLsLLsLsLLsL
9|21 26 sLLsLsLLsLLsLsLLsLsLLsLLsLsLLsL
8|22 8 sLLsLsLLsLLsLsLLsLsLLsLsLLsLLsL
7|23 21 sLLsLsLLsLsLLsLLsLsLLsLsLLsLLsL
6|24 3 sLLsLsLLsLsLLsLLsLsLLsLsLLsLsLL
5|25 16 sLLsLsLLsLsLLsLsLLsLLsLsLLsLsLL
4|26 29 sLsLLsLLsLsLLsLsLLsLLsLsLLsLsLL
3|27 11 sLsLLsLLsLsLLsLsLLsLsLLsLLsLsLL
2|28 24 sLsLLsLsLLsLLsLsLLsLsLLsLLsLsLL
1|29 6 sLsLLsLsLLsLLsLsLLsLsLLsLsLLsLL
0|30 19 sLsLLsLsLLsLsLLsLLsLsLLsLsLLsLL

Scale tree

Scale Tree and Tuning Spectrum of 19L 12s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
13\31 503.226 696.774 1:1 1.000 Equalized 19L 12s
86\205 503.415 696.585 7:6 1.167
73\174 503.448 696.552 6:5 1.200
133\317 503.470 696.530 11:9 1.222
60\143 503.497 696.503 5:4 1.250
167\398 503.518 696.482 14:11 1.273
107\255 503.529 696.471 9:7 1.286
154\367 503.542 696.458 13:10 1.300
47\112 503.571 696.429 4:3 1.333 Supersoft 19L 12s
175\417 503.597 696.403 15:11 1.364
128\305 503.607 696.393 11:8 1.375
209\498 503.614 696.386 18:13 1.385
81\193 503.627 696.373 7:5 1.400
196\467 503.640 696.360 17:12 1.417
115\274 503.650 696.350 10:7 1.429
149\355 503.662 696.338 13:9 1.444
34\81 503.704 696.296 3:2 1.500 Soft 19L 12s
157\374 503.743 696.257 14:9 1.556
123\293 503.754 696.246 11:7 1.571
212\505 503.762 696.238 19:12 1.583
89\212 503.774 696.226 8:5 1.600
233\555 503.784 696.216 21:13 1.615
144\343 503.790 696.210 13:8 1.625
199\474 503.797 696.203 18:11 1.636
55\131 503.817 696.183 5:3 1.667 Semisoft 19L 12s
186\443 503.837 696.163 17:10 1.700
131\312 503.846 696.154 12:7 1.714
207\493 503.854 696.146 19:11 1.727
76\181 503.867 696.133 7:4 1.750
173\412 503.883 696.117 16:9 1.778
97\231 503.896 696.104 9:5 1.800
118\281 503.915 696.085 11:6 1.833
21\50 504.000 696.000 2:1 2.000 Basic 19L 12s
Scales with tunings softer than this are proper
113\269 504.089 695.911 11:5 2.200
92\219 504.110 695.890 9:4 2.250
163\388 504.124 695.876 16:7 2.286
71\169 504.142 695.858 7:3 2.333
192\457 504.158 695.842 19:8 2.375
121\288 504.167 695.833 12:5 2.400
171\407 504.177 695.823 17:7 2.429
50\119 504.202 695.798 5:2 2.500 Semihard 19L 12s
179\426 504.225 695.775 18:7 2.571
129\307 504.235 695.765 13:5 2.600
208\495 504.242 695.758 21:8 2.625
79\188 504.255 695.745 8:3 2.667
187\445 504.270 695.730 19:7 2.714
108\257 504.280 695.720 11:4 2.750
137\326 504.294 695.706 14:5 2.800
29\69 504.348 695.652 3:1 3.000 Hard 19L 12s
124\295 504.407 695.593 13:4 3.250
95\226 504.425 695.575 10:3 3.333
161\383 504.439 695.561 17:5 3.400
66\157 504.459 695.541 7:2 3.500
169\402 504.478 695.522 18:5 3.600
103\245 504.490 695.510 11:3 3.667
140\333 504.505 695.495 15:4 3.750
37\88 504.545 695.455 4:1 4.000 Superhard 19L 12s
119\283 504.594 695.406 13:3 4.333
82\195 504.615 695.385 9:2 4.500
127\302 504.636 695.364 14:3 4.667
45\107 504.673 695.327 5:1 5.000
98\233 504.721 695.279 11:2 5.500
53\126 504.762 695.238 6:1 6.000
61\145 504.828 695.172 7:1 7.000
8\19 505.263 694.737 1:0 → ∞ Collapsed 19L 12s
Retrieved from "https://en.xen.wiki/index.php?title=19L_12s&oldid=117251"