6L 12s

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↖ 5L 11s↑ 6L 11s 7L 11s ↗
← 5L 12s6L 12s7L 12s →
↙ 5L 13s↓ 6L 13s 7L 13s ↘
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│║││║││║││║││║││║│││
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└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LssLssLssLssLssLss
ssLssLssLssLssLssL
Equave 2/1 (1200.0¢)
Period 1\6 (200.0¢)
Generator size
Bright 2\18 to 1\6 (133.3¢ to 200.0¢)
Dark 0\6 to 1\18 (0.0¢ to 66.7¢)
TAMNAMS information
Descends from 6L 6s
Ancestor's step ratio range 2:1 to 1:0 (hard-of-basic)
Related MOS scales
Parent 6L 6s
Sister 12L 6s
Daughters 18L 6s, 6L 18s
Neutralized 12L 6s
2-Flought 24L 12s, 6L 30s
Equal tunings
Equalized (L:s = 1:1) 2\18 (133.3¢)
Supersoft (L:s = 4:3) 7\60 (140.0¢)
Soft (L:s = 3:2) 5\42 (142.9¢)
Semisoft (L:s = 5:3) 8\66 (145.5¢)
Basic (L:s = 2:1) 3\24 (150.0¢)
Semihard (L:s = 5:2) 7\54 (155.6¢)
Hard (L:s = 3:1) 4\30 (160.0¢)
Superhard (L:s = 4:1) 5\36 (166.7¢)
Collapsed (L:s = 1:0) 1\6 (200.0¢)

6L 12s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 6 large steps and 12 small steps, with a period of 1 large step and 2 small steps that repeats every 200.0¢, or 6 times every octave. 6L 12s is a child scale of 6L 6s, expanding it by 6 tones. Generators that produce this scale range from 133.3¢ to 200¢, or from 0¢ to 66.7¢.

Modes

Modes of 6L 12s
UDP Cyclic
order
Step
pattern
12|0(6) 1 LssLssLssLssLssLss
6|6(6) 3 sLssLssLssLssLssLs
0|12(6) 2 ssLssLssLssLssLssL

Scale tree

Scale Tree and Tuning Spectrum of 6L 12s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
2\18 133.333 66.667 1:1 1.000 Equalized 6L 12s
11\96 137.500 62.500 6:5 1.200
9\78 138.462 61.538 5:4 1.250
16\138 139.130 60.870 9:7 1.286
7\60 140.000 60.000 4:3 1.333 Supersoft 6L 12s
19\162 140.741 59.259 11:8 1.375
12\102 141.176 58.824 7:5 1.400
17\144 141.667 58.333 10:7 1.429
5\42 142.857 57.143 3:2 1.500 Soft 6L 12s
18\150 144.000 56.000 11:7 1.571
13\108 144.444 55.556 8:5 1.600
21\174 144.828 55.172 13:8 1.625
8\66 145.455 54.545 5:3 1.667 Semisoft 6L 12s
19\156 146.154 53.846 12:7 1.714
11\90 146.667 53.333 7:4 1.750
14\114 147.368 52.632 9:5 1.800
3\24 150.000 50.000 2:1 2.000 Basic 6L 12s
Scales with tunings softer than this are proper
13\102 152.941 47.059 9:4 2.250
10\78 153.846 46.154 7:3 2.333
17\132 154.545 45.455 12:5 2.400
7\54 155.556 44.444 5:2 2.500 Semihard 6L 12s
18\138 156.522 43.478 13:5 2.600
11\84 157.143 42.857 8:3 2.667
15\114 157.895 42.105 11:4 2.750
4\30 160.000 40.000 3:1 3.000 Hard 6L 12s
13\96 162.500 37.500 10:3 3.333
9\66 163.636 36.364 7:2 3.500
14\102 164.706 35.294 11:3 3.667
5\36 166.667 33.333 4:1 4.000 Superhard 6L 12s
11\78 169.231 30.769 9:2 4.500
6\42 171.429 28.571 5:1 5.000
7\48 175.000 25.000 6:1 6.000
1\6 200.000 0.000 1:0 → ∞ Collapsed 6L 12s