10L 4s
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Scale structure
Step pattern
LLLsLLsLLLsLLs
sLLsLLLsLLsLLL
Equave
2/1 (1200.0¢)
Period
1\2 (600.0¢)
Generator size
Bright
4\14 to 3\10 (342.9¢ to 360.0¢)
Dark
2\10 to 3\14 (240.0¢ to 257.1¢)
TAMNAMS information
Descends from
4L 6s (lime)
Ancestor's step ratio range
1:1 to 2:1 (soft-of-basic)
Related MOS scales
Parent
4L 6s
Sister
4L 10s
Daughters
14L 10s, 10L 14s
Neutralized
6L 8s
2-Flought
24L 4s, 10L 18s
Equal tunings
Equalized (L:s = 1:1)
4\14 (342.9¢)
Supersoft (L:s = 4:3)
15\52 (346.2¢)
Soft (L:s = 3:2)
11\38 (347.4¢)
Semisoft (L:s = 5:3)
18\62 (348.4¢)
Basic (L:s = 2:1)
7\24 (350.0¢)
Semihard (L:s = 5:2)
17\58 (351.7¢)
Hard (L:s = 3:1)
10\34 (352.9¢)
Superhard (L:s = 4:1)
13\44 (354.5¢)
Collapsed (L:s = 1:0)
3\10 (360.0¢)
↖ 9L 3s | ↑ 10L 3s | 11L 3s ↗ |
← 9L 4s | 10L 4s | 11L 4s → |
↙ 9L 5s | ↓ 10L 5s | 11L 5s ↘ |
┌╥╥╥┬╥╥┬╥╥╥┬╥╥┬┐ │║║║│║║│║║║│║║││ ││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
sLLsLLLsLLsLLL
10L 4s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 10 large steps and 4 small steps, with a period of 5 large steps and 2 small steps that repeats every 600.0¢, or twice every octave. 10L 4s is a child scale of 4L 6s, expanding it by 4 tones. Generators that produce this scale range from 342.9¢ to 360¢, or from 240¢ to 257.1¢.
Modes
UDP | Cyclic order |
Step pattern |
---|---|---|
12|0(2) | 1 | LLLsLLsLLLsLLs |
10|2(2) | 5 | LLsLLLsLLsLLLs |
8|4(2) | 2 | LLsLLsLLLsLLsL |
6|6(2) | 6 | LsLLLsLLsLLLsL |
4|8(2) | 3 | LsLLsLLLsLLsLL |
2|10(2) | 7 | sLLLsLLsLLLsLL |
0|12(2) | 4 | sLLsLLLsLLsLLL |
Tuning spectrum
Decimal / decibel / anguirus range
Generator(edo) | Cents | Step ratio | Comments | |||||||
---|---|---|---|---|---|---|---|---|---|---|
Bright | Dark | L:s | Hardness | |||||||
4\14 | 342.857 | 257.143 | 1:1 | 1.000 | Equalized 10L 4s | |||||
23\80 | 345.000 | 255.000 | 6:5 | 1.200 | ||||||
19\66 | 345.455 | 254.545 | 5:4 | 1.250 | ||||||
34\118 | 345.763 | 254.237 | 9:7 | 1.286 | ||||||
15\52 | 346.154 | 253.846 | 4:3 | 1.333 | Supersoft 10L 4s | |||||
41\142 | 346.479 | 253.521 | 11:8 | 1.375 | ||||||
26\90 | 346.667 | 253.333 | 7:5 | 1.400 | ||||||
37\128 | 346.875 | 253.125 | 10:7 | 1.429 | ||||||
11\38 | 347.368 | 252.632 | 3:2 | 1.500 | Soft 10L 4s | |||||
40\138 | 347.826 | 252.174 | 11:7 | 1.571 | ||||||
29\100 | 348.000 | 252.000 | 8:5 | 1.600 | ||||||
47\162 | 348.148 | 251.852 | 13:8 | 1.625 | ||||||
18\62 | 348.387 | 251.613 | 5:3 | 1.667 | Semisoft 10L 4s | |||||
43\148 | 348.649 | 251.351 | 12:7 | 1.714 | ||||||
25\86 | 348.837 | 251.163 | 7:4 | 1.750 | ||||||
32\110 | 349.091 | 250.909 | 9:5 | 1.800 | ||||||
7\24 | 350.000 | 250.000 | 2:1 | 2.000 | Basic 10L 4s Scales with tunings softer than this are proper | |||||
31\106 | 350.943 | 249.057 | 9:4 | 2.250 | ||||||
24\82 | 351.220 | 248.780 | 7:3 | 2.333 | ||||||
41\140 | 351.429 | 248.571 | 12:5 | 2.400 | ||||||
17\58 | 351.724 | 248.276 | 5:2 | 2.500 | Semihard 10L 4s | |||||
44\150 | 352.000 | 248.000 | 13:5 | 2.600 | ||||||
27\92 | 352.174 | 247.826 | 8:3 | 2.667 | ||||||
37\126 | 352.381 | 247.619 | 11:4 | 2.750 | ||||||
10\34 | 352.941 | 247.059 | 3:1 | 3.000 | Hard 10L 4s | |||||
33\112 | 353.571 | 246.429 | 10:3 | 3.333 | ||||||
23\78 | 353.846 | 246.154 | 7:2 | 3.500 | ||||||
36\122 | 354.098 | 245.902 | 11:3 | 3.667 | ||||||
13\44 | 354.545 | 245.455 | 4:1 | 4.000 | Superhard 10L 4s | |||||
29\98 | 355.102 | 244.898 | 9:2 | 4.500 | ||||||
16\54 | 355.556 | 244.444 | 5:1 | 5.000 | ||||||
19\64 | 356.250 | 243.750 | 6:1 | 6.000 | ||||||
3\10 | 360.000 | 240.000 | 1:0 | → ∞ | Collapsed 10L 4s |