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.

↖ 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
Related to 5L 2s (diatonic)
With tunings 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 ¢)
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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 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
97\167 697.006 502.994 6:5 1.200
79\136 697.059 502.941 5:4 1.250
140\241 697.095 502.905 9:7 1.286
61\105 697.143 502.857 4:3 1.333 Supersoft 12L 19s
165\284 697.183 502.817 11:8 1.375
104\179 697.207 502.793 7:5 1.400
147\253 697.233 502.767 10:7 1.429
43\74 697.297 502.703 3:2 1.500 Soft 12L 19s
154\265 697.358 502.642 11:7 1.571
111\191 697.382 502.618 8:5 1.600
179\308 697.403 502.597 13:8 1.625
68\117 697.436 502.564 5:3 1.667 Semisoft 12L 19s
161\277 697.473 502.527 12:7 1.714
93\160 697.500 502.500 7:4 1.750
118\203 697.537 502.463 9:5 1.800
25\43 697.674 502.326 2:1 2.000 Basic 12L 19s
Scales with tunings softer than this are proper
107\184 697.826 502.174 9:4 2.250
82\141 697.872 502.128 7:3 2.333
139\239 697.908 502.092 12:5 2.400
57\98 697.959 502.041 5:2 2.500 Semihard 12L 19s
146\251 698.008 501.992 13:5 2.600
89\153 698.039 501.961 8:3 2.667
121\208 698.077 501.923 11:4 2.750
32\55 698.182 501.818 3:1 3.000 Hard 12L 19s
103\177 698.305 501.695 10:3 3.333
71\122 698.361 501.639 7:2 3.500
110\189 698.413 501.587 11:3 3.667
39\67 698.507 501.493 4:1 4.000 Superhard 12L 19s
85\146 698.630 501.370 9:2 4.500
46\79 698.734 501.266 5:1 5.000
53\91 698.901 501.099 6:1 6.000
7\12 700.000 500.000 1:0 → ∞ Collapsed 12L 19s
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