8L 10s
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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¢)
↖ 7L 9s | ↑ 8L 9s | 9L 9s ↗ |
← 7L 10s | 8L 10s | 9L 10s → |
↙ 7L 11s | ↓ 8L 11s | 9L 11s ↘ |
┌╥┬╥┬╥┬╥┬┬╥┬╥┬╥┬╥┬┬┐ │║│║│║│║││║│║│║│║│││ ││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
ssLsLsLsLssLsLsLsL
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
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
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 |