12L 6s

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↖ 11L 5s↑ 12L 5s 13L 5s ↗
← 11L 6s12L 6s13L 6s →
↙ 11L 7s↓ 12L 7s 13L 7s ↘
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└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLsLLsLLsLLsLLsLLs
sLLsLLsLLsLLsLLsLL
Equave 2/1 (1200.0¢)
Period 1\6 (200.0¢)
Generator size
Bright 1\18 to 1\12 (66.7¢ to 100.0¢)
Dark 1\12 to 2\18 (100.0¢ to 133.3¢)
TAMNAMS information
Descends from 6L 6s
Ancestor's step ratio range 1:1 to 2:1 (soft-of-basic)
Related MOS scales
Parent 6L 6s
Sister 6L 12s
Daughters 18L 12s, 12L 18s
Neutralized 6L 12s
2-Flought 30L 6s, 12L 24s
Equal tunings
Equalized (L:s = 1:1) 1\18 (66.7¢)
Supersoft (L:s = 4:3) 4\66 (72.7¢)
Soft (L:s = 3:2) 3\48 (75.0¢)
Semisoft (L:s = 5:3) 5\78 (76.9¢)
Basic (L:s = 2:1) 2\30 (80.0¢)
Semihard (L:s = 5:2) 5\72 (83.3¢)
Hard (L:s = 3:1) 3\42 (85.7¢)
Superhard (L:s = 4:1) 4\54 (88.9¢)
Collapsed (L:s = 1:0) 1\12 (100.0¢)

12L 6s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 12 large steps and 6 small steps, with a period of 2 large steps and 1 small step that repeats every 200.0¢, or 6 times every octave. 12L 6s is a child scale of 6L 6s, expanding it by 6 tones. Generators that produce this scale range from 66.7¢ to 100¢, or from 100¢ to 133.3¢. Scales of the true MOS form, where every period is the same, are proper because there is only one small step per period.

Modes

Modes of 12L 6s
UDP Cyclic
order
Step
pattern
12|0(6) 1 LLsLLsLLsLLsLLsLLs
6|6(6) 2 LsLLsLLsLLsLLsLLsL
0|12(6) 3 sLLsLLsLLsLLsLLsLL

Scale tree

Scale Tree and Tuning Spectrum of 12L 6s
Generator(edo) Cents Step ratio Comments(always proper)
Bright Dark L:s Hardness
1\18 66.667 133.333 1:1 1.000 Equalized 12L 6s
6\102 70.588 129.412 6:5 1.200
5\84 71.429 128.571 5:4 1.250
9\150 72.000 128.000 9:7 1.286
4\66 72.727 127.273 4:3 1.333 Supersoft 12L 6s
11\180 73.333 126.667 11:8 1.375
7\114 73.684 126.316 7:5 1.400
10\162 74.074 125.926 10:7 1.429
3\48 75.000 125.000 3:2 1.500 Soft 12L 6s
11\174 75.862 124.138 11:7 1.571
8\126 76.190 123.810 8:5 1.600
13\204 76.471 123.529 13:8 1.625
5\78 76.923 123.077 5:3 1.667 Semisoft 12L 6s
12\186 77.419 122.581 12:7 1.714
7\108 77.778 122.222 7:4 1.750
9\138 78.261 121.739 9:5 1.800
2\30 80.000 120.000 2:1 2.000 Basic 12L 6s
9\132 81.818 118.182 9:4 2.250
7\102 82.353 117.647 7:3 2.333
12\174 82.759 117.241 12:5 2.400
5\72 83.333 116.667 5:2 2.500 Semihard 12L 6s
13\186 83.871 116.129 13:5 2.600
8\114 84.211 115.789 8:3 2.667
11\156 84.615 115.385 11:4 2.750
3\42 85.714 114.286 3:1 3.000 Hard 12L 6s
10\138 86.957 113.043 10:3 3.333
7\96 87.500 112.500 7:2 3.500
11\150 88.000 112.000 11:3 3.667
4\54 88.889 111.111 4:1 4.000 Superhard 12L 6s
9\120 90.000 110.000 9:2 4.500
5\66 90.909 109.091 5:1 5.000
6\78 92.308 107.692 6:1 6.000
1\12 100.000 100.000 1:0 → ∞ Collapsed 12L 6s