19L 12s

From Xenharmonic Wiki
Revision as of 16:37, 3 March 2025 by ArrowHead294 (talk | contribs)
Jump to navigation Jump to search
↖ 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 ¢)
ViewTalkEdit

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.

Scale properties

This article uses TAMNAMS conventions for the names of this scale's intervals and scale degrees. The use of 1-indexed ordinal names is reserved for interval regions.
Template:MOS data is deprecated.

Details: Please use the following templates individually: MOS intervals, MOS genchain, and MOS mode degrees

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
73\174 503.448 696.552 6:5 1.200
60\143 503.497 696.503 5:4 1.250
107\255 503.529 696.471 9:7 1.286
47\112 503.571 696.429 4:3 1.333 Supersoft 19L 12s
128\305 503.607 696.393 11:8 1.375
81\193 503.627 696.373 7:5 1.400
115\274 503.650 696.350 10:7 1.429
34\81 503.704 696.296 3:2 1.500 Soft 19L 12s
123\293 503.754 696.246 11:7 1.571
89\212 503.774 696.226 8:5 1.600
144\343 503.790 696.210 13:8 1.625
55\131 503.817 696.183 5:3 1.667 Semisoft 19L 12s
131\312 503.846 696.154 12:7 1.714
76\181 503.867 696.133 7:4 1.750
97\231 503.896 696.104 9:5 1.800
21\50 504.000 696.000 2:1 2.000 Basic 19L 12s
Scales with tunings softer than this are proper
92\219 504.110 695.890 9:4 2.250
71\169 504.142 695.858 7:3 2.333
121\288 504.167 695.833 12:5 2.400
50\119 504.202 695.798 5:2 2.500 Semihard 19L 12s
129\307 504.235 695.765 13:5 2.600
79\188 504.255 695.745 8:3 2.667
108\257 504.280 695.720 11:4 2.750
29\69 504.348 695.652 3:1 3.000 Hard 19L 12s
95\226 504.425 695.575 10:3 3.333
66\157 504.459 695.541 7:2 3.500
103\245 504.490 695.510 11:3 3.667
37\88 504.545 695.455 4:1 4.000 Superhard 19L 12s
82\195 504.615 695.385 9:2 4.500
45\107 504.673 695.327 5:1 5.000
53\126 504.762 695.238 6:1 6.000
8\19 505.263 694.737 1:0 → ∞ Collapsed 19L 12s
This page is a stub. You can help the Xenharmonic Wiki by expanding it.