8L 10s

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↖ 7L 9s↑ 8L 9s 9L 9s ↗
← 7L 10s8L 10s9L 10s →
↙ 7L 11s↓ 8L 11s 9L 11s ↘
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Scale structure
Step pattern LsLsLsLssLsLsLsLss
ssLsLsLsLssLsLsLsL
Equave 2/1 (1200.0¢)
Period 1\2 (600.0¢)
Generator size
Bright 2\18 to 1\8 (133.3¢ to 150.0¢)
Dark 3\8 to 7\18 (450.0¢ to 466.7¢)
TAMNAMS information
Descends from 8L 2s (taric)
Ancestor's step ratio range 2:1 to 1:0 (hard-of-basic)
Related MOS scales
Parent 8L 2s
Sister 10L 8s
Daughters 18L 8s, 8L 18s
Neutralized 16L 2s
2-Flought 26L 10s, 8L 28s
Equal tunings
Equalized (L:s = 1:1) 2\18 (133.3¢)
Supersoft (L:s = 4:3) 7\62 (135.5¢)
Soft (L:s = 3:2) 5\44 (136.4¢)
Semisoft (L:s = 5:3) 8\70 (137.1¢)
Basic (L:s = 2:1) 3\26 (138.5¢)
Semihard (L:s = 5:2) 7\60 (140.0¢)
Hard (L:s = 3:1) 4\34 (141.2¢)
Superhard (L:s = 4:1) 5\42 (142.9¢)
Collapsed (L:s = 1:0) 1\8 (150.0¢)

8L 10s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 8 large steps and 10 small steps, with a period of 4 large steps and 5 small steps that repeats every 600.0¢, or twice every octave. 8L 10s is a child scale of 8L 2s, expanding it by 8 tones. Generators that produce this scale range from 133.3¢ to 150¢, or from 450¢ to 466.7¢.

Modes

Modes of 8L 10s
UDP Cyclic
Order
Step
Pattern
16|0(2) 1 LsLsLsLssLsLsLsLss
14|2(2) 3 LsLsLssLsLsLsLssLs
12|4(2) 5 LsLssLsLsLsLssLsLs
10|6(2) 7 LssLsLsLsLssLsLsLs
8|8(2) 9 sLsLsLsLssLsLsLsLs
6|10(2) 2 sLsLsLssLsLsLsLssL
4|12(2) 4 sLsLssLsLsLsLssLsL
2|14(2) 6 sLssLsLsLsLssLsLsL
0|16(2) 8 ssLsLsLsLssLsLsLsL

Scale tree

Scale Tree and Tuning Spectrum of 8L 10s
Generator(edo) Cents Step Ratio Comments
Bright Dark L:s Hardness
2\18 133.333 466.667 1:1 1.000 Equalized 8L 10s
11\98 134.694 465.306 6:5 1.200
9\80 135.000 465.000 5:4 1.250
16\142 135.211 464.789 9:7 1.286
7\62 135.484 464.516 4:3 1.333 Supersoft 8L 10s
19\168 135.714 464.286 11:8 1.375
12\106 135.849 464.151 7:5 1.400
17\150 136.000 464.000 10:7 1.429
5\44 136.364 463.636 3:2 1.500 Soft 8L 10s
18\158 136.709 463.291 11:7 1.571
13\114 136.842 463.158 8:5 1.600
21\184 136.957 463.043 13:8 1.625
8\70 137.143 462.857 5:3 1.667 Semisoft 8L 10s
19\166 137.349 462.651 12:7 1.714
11\96 137.500 462.500 7:4 1.750
14\122 137.705 462.295 9:5 1.800
3\26 138.462 461.538 2:1 2.000 Basic 8L 10s
Scales with tunings softer than this are proper
13\112 139.286 460.714 9:4 2.250
10\86 139.535 460.465 7:3 2.333
17\146 139.726 460.274 12:5 2.400
7\60 140.000 460.000 5:2 2.500 Semihard 8L 10s
18\154 140.260 459.740 13:5 2.600
11\94 140.426 459.574 8:3 2.667
15\128 140.625 459.375 11:4 2.750
4\34 141.176 458.824 3:1 3.000 Hard 8L 10s
13\110 141.818 458.182 10:3 3.333
9\76 142.105 457.895 7:2 3.500
14\118 142.373 457.627 11:3 3.667
5\42 142.857 457.143 4:1 4.000 Superhard 8L 10s
11\92 143.478 456.522 9:2 4.500
6\50 144.000 456.000 5:1 5.000
7\58 144.828 455.172 6:1 6.000
1\8 150.000 450.000 1:0 → ∞ Collapsed 8L 10s