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 |
Intervals
| 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
| 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 | Semihemi | |||||
| 17\58 | 351.724 | 248.276 | 5:2 | 2.500 | Semihard 10L 4s Sruti, anguirus | |||||
| 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 Hemifourths | |||||
| 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 | ↓Semiseptiquarter | |||||
| 3\10 | 360.000 | 240.000 | 1:0 | → ∞ | Collapsed 10L 4s | |||||
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