19L 12s

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Revision as of 07:49, 15 December 2024 by BudjarnLambeth (talk | contribs) (Various minor)
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↖ 18L 11s ↑ 19L 11s 20L 11s ↗
← 18L 12s 19L 12s 20L 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
Related to 5L 2s (diatonic)
With tunings 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 ¢)
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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.

Intervals

Intervals of 19L 12s
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 38.7 ¢
Major 1-mosstep M1ms L 38.7 ¢ to 63.2 ¢
2-mosstep Minor 2-mosstep m2ms L + s 63.2 ¢ to 77.4 ¢
Major 2-mosstep M2ms 2L 77.4 ¢ to 126.3 ¢
3-mosstep Minor 3-mosstep m3ms L + 2s 63.2 ¢ to 116.1 ¢
Major 3-mosstep M3ms 2L + s 116.1 ¢ to 126.3 ¢
4-mosstep Minor 4-mosstep m4ms 2L + 2s 126.3 ¢ to 154.8 ¢
Major 4-mosstep M4ms 3L + s 154.8 ¢ to 189.5 ¢
5-mosstep Minor 5-mosstep m5ms 3L + 2s 189.5 ¢ to 193.5 ¢
Major 5-mosstep M5ms 4L + s 193.5 ¢ to 252.6 ¢
6-mosstep Minor 6-mosstep m6ms 3L + 3s 189.5 ¢ to 232.3 ¢
Major 6-mosstep M6ms 4L + 2s 232.3 ¢ to 252.6 ¢
7-mosstep Minor 7-mosstep m7ms 4L + 3s 252.6 ¢ to 271.0 ¢
Major 7-mosstep M7ms 5L + 2s 271.0 ¢ to 315.8 ¢
8-mosstep Minor 8-mosstep m8ms 4L + 4s 252.6 ¢ to 309.7 ¢
Major 8-mosstep M8ms 5L + 3s 309.7 ¢ to 315.8 ¢
9-mosstep Minor 9-mosstep m9ms 5L + 4s 315.8 ¢ to 348.4 ¢
Major 9-mosstep M9ms 6L + 3s 348.4 ¢ to 378.9 ¢
10-mosstep Minor 10-mosstep m10ms 6L + 4s 378.9 ¢ to 387.1 ¢
Major 10-mosstep M10ms 7L + 3s 387.1 ¢ to 442.1 ¢
11-mosstep Minor 11-mosstep m11ms 6L + 5s 378.9 ¢ to 425.8 ¢
Major 11-mosstep M11ms 7L + 4s 425.8 ¢ to 442.1 ¢
12-mosstep Minor 12-mosstep m12ms 7L + 5s 442.1 ¢ to 464.5 ¢
Major 12-mosstep M12ms 8L + 4s 464.5 ¢ to 505.3 ¢
13-mosstep Diminished 13-mosstep d13ms 7L + 6s 442.1 ¢ to 503.2 ¢
Perfect 13-mosstep P13ms 8L + 5s 503.2 ¢ to 505.3 ¢
14-mosstep Minor 14-mosstep m14ms 8L + 6s 505.3 ¢ to 541.9 ¢
Major 14-mosstep M14ms 9L + 5s 541.9 ¢ to 568.4 ¢
15-mosstep Minor 15-mosstep m15ms 9L + 6s 568.4 ¢ to 580.6 ¢
Major 15-mosstep M15ms 10L + 5s 580.6 ¢ to 631.6 ¢
16-mosstep Minor 16-mosstep m16ms 9L + 7s 568.4 ¢ to 619.4 ¢
Major 16-mosstep M16ms 10L + 6s 619.4 ¢ to 631.6 ¢
17-mosstep Minor 17-mosstep m17ms 10L + 7s 631.6 ¢ to 658.1 ¢
Major 17-mosstep M17ms 11L + 6s 658.1 ¢ to 694.7 ¢
18-mosstep Perfect 18-mosstep P18ms 11L + 7s 694.7 ¢ to 696.8 ¢
Augmented 18-mosstep A18ms 12L + 6s 696.8 ¢ to 757.9 ¢
19-mosstep Minor 19-mosstep m19ms 11L + 8s 694.7 ¢ to 735.5 ¢
Major 19-mosstep M19ms 12L + 7s 735.5 ¢ to 757.9 ¢
20-mosstep Minor 20-mosstep m20ms 12L + 8s 757.9 ¢ to 774.2 ¢
Major 20-mosstep M20ms 13L + 7s 774.2 ¢ to 821.1 ¢
21-mosstep Minor 21-mosstep m21ms 12L + 9s 757.9 ¢ to 812.9 ¢
Major 21-mosstep M21ms 13L + 8s 812.9 ¢ to 821.1 ¢
22-mosstep Minor 22-mosstep m22ms 13L + 9s 821.1 ¢ to 851.6 ¢
Major 22-mosstep M22ms 14L + 8s 851.6 ¢ to 884.2 ¢
23-mosstep Minor 23-mosstep m23ms 14L + 9s 884.2 ¢ to 890.3 ¢
Major 23-mosstep M23ms 15L + 8s 890.3 ¢ to 947.4 ¢
24-mosstep Minor 24-mosstep m24ms 14L + 10s 884.2 ¢ to 929.0 ¢
Major 24-mosstep M24ms 15L + 9s 929.0 ¢ to 947.4 ¢
25-mosstep Minor 25-mosstep m25ms 15L + 10s 947.4 ¢ to 967.7 ¢
Major 25-mosstep M25ms 16L + 9s 967.7 ¢ to 1010.5 ¢
26-mosstep Minor 26-mosstep m26ms 15L + 11s 947.4 ¢ to 1006.5 ¢
Major 26-mosstep M26ms 16L + 10s 1006.5 ¢ to 1010.5 ¢
27-mosstep Minor 27-mosstep m27ms 16L + 11s 1010.5 ¢ to 1045.2 ¢
Major 27-mosstep M27ms 17L + 10s 1045.2 ¢ to 1073.7 ¢
28-mosstep Minor 28-mosstep m28ms 17L + 11s 1073.7 ¢ to 1083.9 ¢
Major 28-mosstep M28ms 18L + 10s 1083.9 ¢ to 1136.8 ¢
29-mosstep Minor 29-mosstep m29ms 17L + 12s 1073.7 ¢ to 1122.6 ¢
Major 29-mosstep M29ms 18L + 11s 1122.6 ¢ to 1136.8 ¢
30-mosstep Minor 30-mosstep m30ms 18L + 12s 1136.8 ¢ to 1161.3 ¢
Major 30-mosstep M30ms 19L + 11s 1161.3 ¢ to 1200.0 ¢
31-mosstep Perfect 31-mosstep P31ms 19L + 12s 1200.0 ¢

Scale tree

Template: Scale tree is deprecated. Please use Template: MOS tuning spectrum instead. Details:
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 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


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