8L 11s

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↖ 7L 10s ↑8L 10s 9L 10s ↗
← 7L 11s8L 11s 9L 11s →
↙ 7L 12s ↓8L 12s 9L 12s ↘
┌╥┬╥┬╥┬┬╥┬╥┬╥┬┬╥┬╥┬┬┐
│║│║│║││║│║│║││║│║│││
│││││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LsLsLssLsLsLssLsLss
ssLsLssLsLsLssLsLsL
Equave 2/1 (1200.0¢)
Period 2/1 (1200.0¢)
Generator size
Bright 7\19 to 3\8 (442.1¢ to 450.0¢)
Dark 5\8 to 12\19 (750.0¢ to 757.9¢)
TAMNAMS information
Descends from 3L 5s (checkertonic)
Required step ratio range 1:1 to 3:2 (soft)
Related MOS scales
Parent 8L 3s
Sister 11L 8s
Daughters 19L 8s, 8L 19s
Neutralized 16L 3s
2-Flought 27L 11s, 8L 30s
Equal tunings
Equalized (L:s = 1:1) 7\19 (442.1¢)
Supersoft (L:s = 4:3) 24\65 (443.1¢)
Soft (L:s = 3:2) 17\46 (443.5¢)
Semisoft (L:s = 5:3) 27\73 (443.8¢)
Basic (L:s = 2:1) 10\27 (444.4¢)
Semihard (L:s = 5:2) 23\62 (445.2¢)
Hard (L:s = 3:1) 13\35 (445.7¢)
Superhard (L:s = 4:1) 16\43 (446.5¢)
Collapsed (L:s = 1:0) 3\8 (450.0¢)

8L 11s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 8 large steps and 11 small steps, repeating every octave. 8L 11s is a grandchild scale of 3L 5s, expanding it by 11 tones. Generators that produce this scale range from 442.1¢ to 450¢, or from 750¢ to 757.9¢.

Modes

Modes of 8L 11s
UDP Rotational order Step pattern
18|0 1 LsLsLssLsLsLssLsLss
17|1 8 LsLsLssLsLssLsLsLss
16|2 15 LsLssLsLsLssLsLsLss
15|3 3 LsLssLsLsLssLsLssLs
14|4 10 LsLssLsLssLsLsLssLs
13|5 17 LssLsLsLssLsLsLssLs
12|6 5 LssLsLsLssLsLssLsLs
11|7 12 LssLsLssLsLsLssLsLs
10|8 19 sLsLsLssLsLsLssLsLs
9|9 7 sLsLsLssLsLssLsLsLs
8|10 14 sLsLssLsLsLssLsLsLs
7|11 2 sLsLssLsLsLssLsLssL
6|12 9 sLsLssLsLssLsLsLssL
5|13 16 sLssLsLsLssLsLsLssL
4|14 4 sLssLsLsLssLsLssLsL
3|15 11 sLssLsLssLsLsLssLsL
2|16 18 ssLsLsLssLsLsLssLsL
1|17 6 ssLsLsLssLsLssLsLsL
0|18 13 ssLsLssLsLsLssLsLsL

Scale tree

Scale Tree and Tuning Spectrum of 8L 11s
Generator(edo) Cents Step Ratio Comments
Bright Dark L:s Hardness
7\19 442.105 757.895 1:1 1.000 Equalized 8L 11s
38\103 442.718 757.282 6:5 1.200
31\84 442.857 757.143 5:4 1.250
55\149 442.953 757.047 9:7 1.286
24\65 443.077 756.923 4:3 1.333 Supersoft 8L 11s
65\176 443.182 756.818 11:8 1.375
41\111 443.243 756.757 7:5 1.400
58\157 443.312 756.688 10:7 1.429
17\46 443.478 756.522 3:2 1.500 Soft 8L 11s
61\165 443.636 756.364 11:7 1.571
44\119 443.697 756.303 8:5 1.600
71\192 443.750 756.250 13:8 1.625
27\73 443.836 756.164 5:3 1.667 Semisoft 8L 11s
64\173 443.931 756.069 12:7 1.714
37\100 444.000 756.000 7:4 1.750
47\127 444.094 755.906 9:5 1.800
10\27 444.444 755.556 2:1 2.000 Basic 8L 11s
Scales with tunings softer than this are proper
43\116 444.828 755.172 9:4 2.250
33\89 444.944 755.056 7:3 2.333
56\151 445.033 754.967 12:5 2.400
23\62 445.161 754.839 5:2 2.500 Semihard 8L 11s
59\159 445.283 754.717 13:5 2.600
36\97 445.361 754.639 8:3 2.667
49\132 445.455 754.545 11:4 2.750
13\35 445.714 754.286 3:1 3.000 Hard 8L 11s
42\113 446.018 753.982 10:3 3.333
29\78 446.154 753.846 7:2 3.500
45\121 446.281 753.719 11:3 3.667
16\43 446.512 753.488 4:1 4.000 Superhard 8L 11s
35\94 446.809 753.191 9:2 4.500
19\51 447.059 752.941 5:1 5.000
22\59 447.458 752.542 6:1 6.000
3\8 450.000 750.000 1:0 → ∞ Collapsed 8L 11s
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