2L 12s

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↖ 1L 11s↑ 2L 11s 3L 11s ↗
← 1L 12s2L 12s3L 12s →
↙ 1L 13s↓ 2L 13s 3L 13s ↘
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Scale structure
Step pattern LssssssLssssss
ssssssLssssssL
Equave 2/1 (1200.0¢)
Period 1\2 (600.0¢)
Generator size
Bright 6\14 to 1\2 (514.3¢ to 600.0¢)
Dark 0\2 to 1\14 (0.0¢ to 85.7¢)
TAMNAMS information
Descends from 2L 8s (jaric)
Ancestor's step ratio range 3:1 to 1:0 (hard)
Related MOS scales
Parent 2L 10s
Sister 12L 2s
Daughters 14L 2s, 2L 14s
Neutralized 4L 10s
2-Flought 16L 12s, 2L 26s
Equal tunings
Equalized (L:s = 1:1) 6\14 (514.3¢)
Supersoft (L:s = 4:3) 19\44 (518.2¢)
Soft (L:s = 3:2) 13\30 (520.0¢)
Semisoft (L:s = 5:3) 20\46 (521.7¢)
Basic (L:s = 2:1) 7\16 (525.0¢)
Semihard (L:s = 5:2) 15\34 (529.4¢)
Hard (L:s = 3:1) 8\18 (533.3¢)
Superhard (L:s = 4:1) 9\20 (540.0¢)
Collapsed (L:s = 1:0) 1\2 (600.0¢)

2L 12s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 2 large steps and 12 small steps, with a period of 1 large step and 6 small steps that repeats every 600.0¢, or twice every octave. 2L 12s is a grandchild scale of 2L 8s, expanding it by 4 tones. Generators that produce this scale range from 514.3¢ to 600¢, or from 0¢ to 85.7¢.

Modes

Modes of 2L 12s
UDP Cyclic
order
Step
pattern
12|0(2) 1 LssssssLssssss
10|2(2) 7 sLssssssLsssss
8|4(2) 6 ssLssssssLssss
6|6(2) 5 sssLssssssLsss
4|8(2) 4 ssssLssssssLss
2|10(2) 3 sssssLssssssLs
0|12(2) 2 ssssssLssssssL

Tuning spectrum

Icon-Todo.png Todo: review
Review entries from past page revision and enter them into the scale tree.

Bipelog range.

Scale Tree and Tuning Spectrum of 2L 12s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
6\14 514.286 85.714 1:1 1.000 Equalized 2L 12s
31\72 516.667 83.333 6:5 1.200
25\58 517.241 82.759 5:4 1.250
44\102 517.647 82.353 9:7 1.286
19\44 518.182 81.818 4:3 1.333 Supersoft 2L 12s
51\118 518.644 81.356 11:8 1.375
32\74 518.919 81.081 7:5 1.400
45\104 519.231 80.769 10:7 1.429
13\30 520.000 80.000 3:2 1.500 Soft 2L 12s
46\106 520.755 79.245 11:7 1.571
33\76 521.053 78.947 8:5 1.600
53\122 521.311 78.689 13:8 1.625
20\46 521.739 78.261 5:3 1.667 Semisoft 2L 12s
47\108 522.222 77.778 12:7 1.714
27\62 522.581 77.419 7:4 1.750
34\78 523.077 76.923 9:5 1.800
7\16 525.000 75.000 2:1 2.000 Basic 2L 12s
Scales with tunings softer than this are proper
29\66 527.273 72.727 9:4 2.250
22\50 528.000 72.000 7:3 2.333
37\84 528.571 71.429 12:5 2.400
15\34 529.412 70.588 5:2 2.500 Semihard 2L 12s
38\86 530.233 69.767 13:5 2.600
23\52 530.769 69.231 8:3 2.667
31\70 531.429 68.571 11:4 2.750
8\18 533.333 66.667 3:1 3.000 Hard 2L 12s
25\56 535.714 64.286 10:3 3.333
17\38 536.842 63.158 7:2 3.500
26\58 537.931 62.069 11:3 3.667
9\20 540.000 60.000 4:1 4.000 Superhard 2L 12s
19\42 542.857 57.143 9:2 4.500
10\22 545.455 54.545 5:1 5.000
11\24 550.000 50.000 6:1 6.000
1\2 600.000 0.000 1:0 → ∞ Collapsed 2L 12s