2L 12s

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Adopt scale tree template, review entries
↖ 1L 11s ↑2L 11s 3L 11s ↗
← 1L 12s2L 12s 3L 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 Rotational 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

Bipelog range.

generator L s L/s gen (cents) comment
0\2 1 0 0.000
1\26 7 1 7.000 46.154
1\24 6 1 6.000 50.000
2\46 11 2 5.500 52.174
1\22 5 1 5.000 54.545
3\64 14 3 4.667 56.250
2\42 9 2 4.500 57.143
3\62 13 3 4.333 58.065
1\20 4 1 4.000 60.000
4\78 15 4 3.750 61.538
3\58 11 3 3.667 62.069
5\96 18 5 3.600 62.500
2\38 7 2 3.500 63.158
5\94 17 5 3.400 63.830
3\56 10 3 3.333 64.286
4\74 13 4 3.250 64.865
1\18 3 1 3.000 66.667
5\88 14 5 2.800 68.182
4\70 11 4 2.750 68.571
3\52 8 3 2.667 69.231
5\86 13 5 2.600 69.767
2\34 5 2 2.500 70.588
5\84 12 5 2.400 71.429
3\50 7 3 2.333 72.000
4\66 9 4 2.250 72.727
5\82 11 5 2.200 73.171
1\16 2 1 2.000 75.000
6\94 11 6 1.833 76.596
5\78 9 5 1.800 76.923
4\62 7 4 1.750 77.419 Semivalentine is around here
3\46 5 3 1.667 78.261
5\76 8 5 1.600 78.947
2\30 3 2 1.500 80.000
5\74 7 5 1.400 81.081 Bipelog is optimal around here
3\44 4 3 1.333 81.818
4\58 5 4 1.250 82.759
5\72 6 5 1.200 83.333 Harry is around here
6\86 7 6 1.167 83.721
1\14 1 1 1.000 85.714