14L 2s

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↖ 13L 1s ↑ 14L 1s 15L 1s ↗
← 13L 2s 14L 2s 15L 2s →
↙ 13L 3s ↓ 14L 3s 15L 3s ↘
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└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLLLLLLsLLLLLLLs
sLLLLLLLsLLLLLLL
Equave 2/1 (1200.0¢)
Period 1\2 (600.0¢)
Generator size
Bright 1\16 to 1\14 (75.0¢ to 85.7¢)
Dark 6\14 to 7\16 (514.3¢ to 525.0¢)
TAMNAMS information
Descends from 2L 8s (jaric)
Ancestor's step ratio range 3:1 to 4:1 (parahard)
Related MOS scales
Parent 2L 12s
Sister 2L 14s
Daughters 16L 14s, 14L 16s
Neutralized 12L 4s
2-Flought 30L 2s, 14L 18s
Equal tunings
Equalized (L:s = 1:1) 1\16 (75.0¢)
Supersoft (L:s = 4:3) 4\62 (77.4¢)
Soft (L:s = 3:2) 3\46 (78.3¢)
Semisoft (L:s = 5:3) 5\76 (78.9¢)
Basic (L:s = 2:1) 2\30 (80.0¢)
Semihard (L:s = 5:2) 5\74 (81.1¢)
Hard (L:s = 3:1) 3\44 (81.8¢)
Superhard (L:s = 4:1) 4\58 (82.8¢)
Collapsed (L:s = 1:0) 1\14 (85.7¢)

14L 2s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 14 large steps and 2 small steps, with a period of 7 large steps and 1 small step that repeats every 600.0¢, or twice every octave. 14L 2s is a great-grandchild scale of 2L 8s, expanding it by 6 tones. Generators that produce this scale range from 75¢ to 85.7¢, or from 514.3¢ to 525¢. 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 14L 2s
UDP Cyclic
order
Step
pattern
14|0(2) 1 LLLLLLLsLLLLLLLs
12|2(2) 2 LLLLLLsLLLLLLLsL
10|4(2) 3 LLLLLsLLLLLLLsLL
8|6(2) 4 LLLLsLLLLLLLsLLL
6|8(2) 5 LLLsLLLLLLLsLLLL
4|10(2) 6 LLsLLLLLLLsLLLLL
2|12(2) 7 LsLLLLLLLsLLLLLL
0|14(2) 8 sLLLLLLLsLLLLLLL

Scale tree

Scale Tree and Tuning Spectrum of 14L 2s
Generator(edo) Cents Step ratio Comments(always proper)
Bright Dark L:s Hardness
1\16 75.000 525.000 1:1 1.000 Equalized 14L 2s
6\94 76.596 523.404 6:5 1.200
5\78 76.923 523.077 5:4 1.250
9\140 77.143 522.857 9:7 1.286
4\62 77.419 522.581 4:3 1.333 Supersoft 14L 2s
11\170 77.647 522.353 11:8 1.375
7\108 77.778 522.222 7:5 1.400
10\154 77.922 522.078 10:7 1.429
3\46 78.261 521.739 3:2 1.500 Soft 14L 2s
11\168 78.571 521.429 11:7 1.571
8\122 78.689 521.311 8:5 1.600
13\198 78.788 521.212 13:8 1.625
5\76 78.947 521.053 5:3 1.667 Semisoft 14L 2s
12\182 79.121 520.879 12:7 1.714
7\106 79.245 520.755 7:4 1.750
9\136 79.412 520.588 9:5 1.800
2\30 80.000 520.000 2:1 2.000 Basic 14L 2s
9\134 80.597 519.403 9:4 2.250
7\104 80.769 519.231 7:3 2.333
12\178 80.899 519.101 12:5 2.400
5\74 81.081 518.919 5:2 2.500 Semihard 14L 2s
13\192 81.250 518.750 13:5 2.600
8\118 81.356 518.644 8:3 2.667
11\162 81.481 518.519 11:4 2.750
3\44 81.818 518.182 3:1 3.000 Hard 14L 2s
10\146 82.192 517.808 10:3 3.333
7\102 82.353 517.647 7:2 3.500
11\160 82.500 517.500 11:3 3.667
4\58 82.759 517.241 4:1 4.000 Superhard 14L 2s
9\130 83.077 516.923 9:2 4.500
5\72 83.333 516.667 5:1 5.000
6\86 83.721 516.279 6:1 6.000
1\14 85.714 514.286 1:0 → ∞ Collapsed 14L 2s