10L 4s

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↖ 9L 3s↑ 10L 3s 11L 3s ↗
← 9L 4s10L 4s11L 4s →
↙ 9L 5s↓ 10L 5s 11L 5s ↘
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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¢)

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

Modes of 10L 4s
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

Icon-Todo.png Todo: review
Review entries from past page revision and enter them into the scale tree.

Decimal / decibel / anguirus range

Scale Tree and Tuning Spectrum of 10L 4s
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