8L 8s

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↖ 7L 7s↑ 8L 7s 9L 7s ↗
← 7L 8s8L 8s9L 8s →
↙ 7L 9s↓ 8L 9s 9L 9s ↘
┌╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬┐
│║│║│║│║│║│║│║│║││
││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LsLsLsLsLsLsLsLs
sLsLsLsLsLsLsLsL
Equave 2/1 (1200.0¢)
Period 1\8 (150.0¢)
Generator size
Bright 1\16 to 1\8 (75.0¢ to 150.0¢)
Dark 0\8 to 1\16 (0.0¢ to 75.0¢)
Related MOS scales
Parent 8L 0s
Sister 8L 8s
Daughters 16L 8s, 8L 16s
Neutralized 16L 0s
2-Flought 24L 8s, 8L 24s
Equal tunings
Equalized (L:s = 1:1) 1\16 (75.0¢)
Supersoft (L:s = 4:3) 4\56 (85.7¢)
Soft (L:s = 3:2) 3\40 (90.0¢)
Semisoft (L:s = 5:3) 5\64 (93.8¢)
Basic (L:s = 2:1) 2\24 (100.0¢)
Semihard (L:s = 5:2) 5\56 (107.1¢)
Hard (L:s = 3:1) 3\32 (112.5¢)
Superhard (L:s = 4:1) 4\40 (120.0¢)
Collapsed (L:s = 1:0) 1\8 (150.0¢)

8L 8s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 8 large steps and 8 small steps, with a period of 1 large step and 1 small step that repeats every 150.0¢, or 8 times every octave. Generators that produce this scale range from 75¢ to 150¢, or from 0¢ to 75¢. 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 8L 8s
UDP Cyclic
order
Step
pattern
8|0(8) 1 LsLsLsLsLsLsLsLs
0|8(8) 2 sLsLsLsLsLsLsLsL

Scale tree

Scale Tree and Tuning Spectrum of 8L 8s
Generator(edo) Cents Step ratio Comments(always proper)
Bright Dark L:s Hardness
1\16 75.000 75.000 1:1 1.000 Equalized 8L 8s
6\88 81.818 68.182 6:5 1.200
5\72 83.333 66.667 5:4 1.250
9\128 84.375 65.625 9:7 1.286
4\56 85.714 64.286 4:3 1.333 Supersoft 8L 8s
11\152 86.842 63.158 11:8 1.375
7\96 87.500 62.500 7:5 1.400
10\136 88.235 61.765 10:7 1.429
3\40 90.000 60.000 3:2 1.500 Soft 8L 8s
11\144 91.667 58.333 11:7 1.571
8\104 92.308 57.692 8:5 1.600
13\168 92.857 57.143 13:8 1.625
5\64 93.750 56.250 5:3 1.667 Semisoft 8L 8s
12\152 94.737 55.263 12:7 1.714
7\88 95.455 54.545 7:4 1.750
9\112 96.429 53.571 9:5 1.800
2\24 100.000 50.000 2:1 2.000 Basic 8L 8s
9\104 103.846 46.154 9:4 2.250
7\80 105.000 45.000 7:3 2.333
12\136 105.882 44.118 12:5 2.400
5\56 107.143 42.857 5:2 2.500 Semihard 8L 8s
13\144 108.333 41.667 13:5 2.600
8\88 109.091 40.909 8:3 2.667
11\120 110.000 40.000 11:4 2.750
3\32 112.500 37.500 3:1 3.000 Hard 8L 8s
10\104 115.385 34.615 10:3 3.333
7\72 116.667 33.333 7:2 3.500
11\112 117.857 32.143 11:3 3.667
4\40 120.000 30.000 4:1 4.000 Superhard 8L 8s
9\88 122.727 27.273 9:2 4.500
5\48 125.000 25.000 5:1 5.000
6\56 128.571 21.429 6:1 6.000
1\8 150.000 0.000 1:0 → ∞ Collapsed 8L 8s
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