10L 8s

From Xenharmonic Wiki
Jump to navigation Jump to search
↖ 9L 7s↑ 10L 7s 11L 7s ↗
← 9L 8s10L 8s11L 8s →
↙ 9L 9s↓ 10L 9s 11L 9s ↘
┌╥╥┬╥┬╥┬╥┬╥╥┬╥┬╥┬╥┬┐
│║║│║│║│║│║║│║│║│║││
││││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLsLsLsLsLLsLsLsLs
sLsLsLsLLsLsLsLsLL
Equave 2/1 (1200.0¢)
Period 1\2 (600.0¢)
Generator size
Bright 7\18 to 4\10 (466.7¢ to 480.0¢)
Dark 1\10 to 2\18 (120.0¢ to 133.3¢)
TAMNAMS information
Descends from 8L 2s (taric)
Ancestor's step ratio range 1:1 to 2:1 (soft-of-basic)
Related MOS scales
Parent 8L 2s
Sister 8L 10s
Daughters 18L 10s, 10L 18s
Neutralized 2L 16s
2-Flought 28L 8s, 10L 26s
Equal tunings
Equalized (L:s = 1:1) 7\18 (466.7¢)
Supersoft (L:s = 4:3) 25\64 (468.8¢)
Soft (L:s = 3:2) 18\46 (469.6¢)
Semisoft (L:s = 5:3) 29\74 (470.3¢)
Basic (L:s = 2:1) 11\28 (471.4¢)
Semihard (L:s = 5:2) 26\66 (472.7¢)
Hard (L:s = 3:1) 15\38 (473.7¢)
Superhard (L:s = 4:1) 19\48 (475.0¢)
Collapsed (L:s = 1:0) 4\10 (480.0¢)

10L 8s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 10 large steps and 8 small steps, with a period of 5 large steps and 4 small steps that repeats every 600.0¢, or twice every octave. 10L 8s is a child scale of 8L 2s, expanding it by 8 tones. Generators that produce this scale range from 466.7¢ to 480¢, or from 120¢ to 133.3¢.

Modes

Modes of 10L 8s
UDP Cyclic
Order
Step
Pattern
16|0(2) 1 LLsLsLsLsLLsLsLsLs
14|2(2) 8 LsLLsLsLsLsLLsLsLs
12|4(2) 6 LsLsLLsLsLsLsLLsLs
10|6(2) 4 LsLsLsLLsLsLsLsLLs
8|8(2) 2 LsLsLsLsLLsLsLsLsL
6|10(2) 9 sLLsLsLsLsLLsLsLsL
4|12(2) 7 sLsLLsLsLsLsLLsLsL
2|14(2) 5 sLsLsLLsLsLsLsLLsL
0|16(2) 3 sLsLsLsLLsLsLsLsLL

Scale tree

Scale Tree and Tuning Spectrum of 10L 8s
Generator(edo) Cents Step Ratio Comments
Bright Dark L:s Hardness
7\18 466.667 133.333 1:1 1.000 Equalized 10L 8s
39\100 468.000 132.000 6:5 1.200
32\82 468.293 131.707 5:4 1.250
57\146 468.493 131.507 9:7 1.286
25\64 468.750 131.250 4:3 1.333 Supersoft 10L 8s
68\174 468.966 131.034 11:8 1.375
43\110 469.091 130.909 7:5 1.400
61\156 469.231 130.769 10:7 1.429
18\46 469.565 130.435 3:2 1.500 Soft 10L 8s
65\166 469.880 130.120 11:7 1.571
47\120 470.000 130.000 8:5 1.600
76\194 470.103 129.897 13:8 1.625
29\74 470.270 129.730 5:3 1.667 Semisoft 10L 8s
69\176 470.455 129.545 12:7 1.714
40\102 470.588 129.412 7:4 1.750
51\130 470.769 129.231 9:5 1.800
11\28 471.429 128.571 2:1 2.000 Basic 10L 8s
Scales with tunings softer than this are proper
48\122 472.131 127.869 9:4 2.250
37\94 472.340 127.660 7:3 2.333
63\160 472.500 127.500 12:5 2.400
26\66 472.727 127.273 5:2 2.500 Semihard 10L 8s
67\170 472.941 127.059 13:5 2.600
41\104 473.077 126.923 8:3 2.667
56\142 473.239 126.761 11:4 2.750
15\38 473.684 126.316 3:1 3.000 Hard 10L 8s
49\124 474.194 125.806 10:3 3.333
34\86 474.419 125.581 7:2 3.500
53\134 474.627 125.373 11:3 3.667
19\48 475.000 125.000 4:1 4.000 Superhard 10L 8s
42\106 475.472 124.528 9:2 4.500
23\58 475.862 124.138 5:1 5.000
27\68 476.471 123.529 6:1 6.000
4\10 480.000 120.000 1:0 → ∞ Collapsed 10L 8s