10L 4s

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↖ 9L 3s ↑ 10L 3s 11L 3s ↗
← 9L 4s 10L 4s 11L 4s →
↙ 9L 5s ↓ 10L 5s 11L 5s ↘
┌╥╥╥┬╥╥┬╥╥╥┬╥╥┬┐
│║║║│║║│║║║│║║││
││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
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
Related to 4L 6s (lime)
With tunings 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

Intervals

Intervals of 10L 4s
Intervals Steps
subtended
Range in cents
Generic Specific Abbrev.
0-mosstep Perfect 0-mosstep P0ms 0 0.0 ¢
1-mosstep Minor 1-mosstep m1ms s 0.0 ¢ to 85.7 ¢
Major 1-mosstep M1ms L 85.7 ¢ to 120.0 ¢
2-mosstep Minor 2-mosstep m2ms L + s 120.0 ¢ to 171.4 ¢
Major 2-mosstep M2ms 2L 171.4 ¢ to 240.0 ¢
3-mosstep Perfect 3-mosstep P3ms 2L + s 240.0 ¢ to 257.1 ¢
Augmented 3-mosstep A3ms 3L 257.1 ¢ to 360.0 ¢
4-mosstep Diminished 4-mosstep d4ms 2L + 2s 240.0 ¢ to 342.9 ¢
Perfect 4-mosstep P4ms 3L + s 342.9 ¢ to 360.0 ¢
5-mosstep Minor 5-mosstep m5ms 3L + 2s 360.0 ¢ to 428.6 ¢
Major 5-mosstep M5ms 4L + s 428.6 ¢ to 480.0 ¢
6-mosstep Minor 6-mosstep m6ms 4L + 2s 480.0 ¢ to 514.3 ¢
Major 6-mosstep M6ms 5L + s 514.3 ¢ to 600.0 ¢
7-mosstep Perfect 7-mosstep P7ms 5L + 2s 600.0 ¢
8-mosstep Minor 8-mosstep m8ms 5L + 3s 600.0 ¢ to 685.7 ¢
Major 8-mosstep M8ms 6L + 2s 685.7 ¢ to 720.0 ¢
9-mosstep Minor 9-mosstep m9ms 6L + 3s 720.0 ¢ to 771.4 ¢
Major 9-mosstep M9ms 7L + 2s 771.4 ¢ to 840.0 ¢
10-mosstep Perfect 10-mosstep P10ms 7L + 3s 840.0 ¢ to 857.1 ¢
Augmented 10-mosstep A10ms 8L + 2s 857.1 ¢ to 960.0 ¢
11-mosstep Diminished 11-mosstep d11ms 7L + 4s 840.0 ¢ to 942.9 ¢
Perfect 11-mosstep P11ms 8L + 3s 942.9 ¢ to 960.0 ¢
12-mosstep Minor 12-mosstep m12ms 8L + 4s 960.0 ¢ to 1028.6 ¢
Major 12-mosstep M12ms 9L + 3s 1028.6 ¢ to 1080.0 ¢
13-mosstep Minor 13-mosstep m13ms 9L + 4s 1080.0 ¢ to 1114.3 ¢
Major 13-mosstep M13ms 10L + 3s 1114.3 ¢ to 1200.0 ¢
14-mosstep Perfect 14-mosstep P14ms 10L + 4s 1200.0 ¢

Tuning spectrum

Todo: review

Review entries from past page revision and enter them into the scale tree.

Decimal / decibel / anguirus range

Template:Scale tree


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