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)
Required 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
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¢)
Todo: review
Adopt scale tree template, review entries
| ↖9L 3s | ↑10L 3s | 11L 3s↗ |
| ←9L 4s | 10L 4s | 11L 4s→ |
| ↙9L 5s | ↓10L 5s | 11L 5s↘ |
┌╥╥╥┬╥╥┬╥╥╥┬╥╥┬┐ │║║║│║║│║║║│║║││ ││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
sLLsLLLsLLsLLL
10L 14s
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 | Rotational 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 | L | s | L/s | gen (cents) | comment | ||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| 2\10 | 1 | 0 | 240.000 | ||||||||
| 15\74 | 7 | 1 | 7.000 | 243.243 | |||||||
| 13\64 | 6 | 1 | 6.000 | 243.750 | Decibel is optimal around here | ||||||
| 11\54 | 5 | 1 | 5.000 | 244.444 | |||||||
| 20\98 | 9 | 2 | 4.500 | 244.898 | |||||||
| 9\44 | 4 | 1 | 4.000 | 245.455 | |||||||
| 25\122 | 11 | 3 | 3.667 | 245.902 | |||||||
| 16\78 | 7 | 2 | 3.500 | 246.154 | |||||||
| 23\112 | 10 | 3 | 3.333 | 246.429 | |||||||
| 7\34 | 3 | 1 | 3.000 | 247.059 | |||||||
| 26\126 | 11 | 4 | 2.750 | 247.619 | |||||||
| 19\92 | 8 | 3 | 2.667 | 247.826 | Anguirus is optimal around here | ||||||
| 31\150 | 13 | 5 | 2.600 | 248.000 | Sruti is around here | ||||||
| 12\58 | 5 | 2 | 2.500 | 248.276 | |||||||
| 29\140 | 12 | 5 | 2.400 | 248.571 | Semihemi is around here | ||||||
| 17\82 | 7 | 3 | 2.333 | 248.780 | |||||||
| 22\106 | 9 | 4 | 2.250 | 249.057 | |||||||
| 5\24 | 2 | 1 | 2.000 | 250.000 | |||||||
| 23\110 | 9 | 5 | 1.800 | 250.909 | |||||||
| 18\86 | 7 | 4 | 1.750 | 251.163 | |||||||
| 31\148 | 12 | 7 | 1.714 | 251.351 | |||||||
| 13\62 | 5 | 3 | 1.667 | 251.613 | Decimal (7-limit) is optimal around here | ||||||
| 21\100 | 8 | 5 | 1.600 | 252.000 | |||||||
| 29\138 | 11 | 7 | 1.571 | 252.174 | |||||||
| 8\38 | 3 | 2 | 1.500 | 252.632 | |||||||
| 27\128 | 10 | 7 | 1.429 | 253.125 | |||||||
| 19\90 | 7 | 5 | 1.400 | 253.333 | |||||||
| 30\142 | 11 | 8 | 1.375 | 253.521 | Decimal (11-limit) is optimal around here | ||||||
| 11\52 | 4 | 3 | 1.333 | 253.846 | |||||||
| 25\118 | 9 | 7 | 1.286 | 254.237 | |||||||
| 14\66 | 5 | 4 | 1.250 | 254.545 | |||||||
| 17\80 | 6 | 5 | 1.200 | 255.000 | |||||||
| 20\94 | 7 | 6 | 1.167 | 255.319 | |||||||
| 3\14 | 1 | 1 | 1.000 | 257.143 | |||||||