10L 2s
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Scale structure
Step pattern
LLLLLsLLLLLs
sLLLLLsLLLLL
Equave
2/1 (1200.0¢)
Period
1\2 (600.0¢)
Generator size
Bright
1\12 to 1\10 (100.0¢ to 120.0¢)
Dark
4\10 to 5\12 (480.0¢ to 500.0¢)
TAMNAMS information
Descends from
2L 8s (jaric)
Ancestor's step ratio range
1:1 to 2:1 (soft-of-basic)
Related MOS scales
Parent
2L 8s
Sister
2L 10s
Daughters
12L 10s, 10L 12s
Neutralized
8L 4s
2-Flought
22L 2s, 10L 14s
Equal tunings
Equalized (L:s = 1:1)
1\12 (100.0¢)
Supersoft (L:s = 4:3)
4\46 (104.3¢)
Soft (L:s = 3:2)
3\34 (105.9¢)
Semisoft (L:s = 5:3)
5\56 (107.1¢)
Basic (L:s = 2:1)
2\22 (109.1¢)
Semihard (L:s = 5:2)
5\54 (111.1¢)
Hard (L:s = 3:1)
3\32 (112.5¢)
Superhard (L:s = 4:1)
4\42 (114.3¢)
Collapsed (L:s = 1:0)
1\10 (120.0¢)
| ↖ 9L 1s | ↑ 10L 1s | 11L 1s ↗ |
| ← 9L 2s | 10L 2s | 11L 2s → |
| ↙ 9L 3s | ↓ 10L 3s | 11L 3s ↘ |
┌╥╥╥╥╥┬╥╥╥╥╥┬┐ │║║║║║│║║║║║││ ││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┘
sLLLLLsLLLLL
10L 2s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 10 large steps and 2 small steps, with a period of 5 large steps and 1 small step that repeats every 600.0¢, or twice every octave. 10L 2s is a child scale of 2L 8s, expanding it by 2 tones. Generators that produce this scale range from 100¢ to 120¢, or from 480¢ to 500¢. Scales of the true MOS form, where every period is the same, are proper because there is only one small step per period. The only significant harmonic entropy minimum with this MOS pattern is srutal/pajara, which appears as a 12-note scale of srutal/pajara[12].
Modes
| UDP | Cyclic order |
Step pattern |
|---|---|---|
| 10|0(2) | 1 | LLLLLsLLLLLs |
| 8|2(2) | 2 | LLLLsLLLLLsL |
| 6|4(2) | 3 | LLLsLLLLLsLL |
| 4|6(2) | 4 | LLsLLLLLsLLL |
| 2|8(2) | 5 | LsLLLLLsLLLL |
| 0|10(2) | 6 | sLLLLLsLLLLL |
Intervals
| Intervals | Steps subtended |
Range in cents | ||
|---|---|---|---|---|
| Generic | Specific | Abbrev. | ||
| 0-mosstep | Perfect 0-mosstep | P0ms | 0 | 0.0¢ |
| 1-mosstep | Diminished 1-mosstep | d1ms | s | 0.0¢ to 100.0¢ |
| Perfect 1-mosstep | P1ms | L | 100.0¢ to 120.0¢ | |
| 2-mosstep | Minor 2-mosstep | m2ms | L + s | 120.0¢ to 200.0¢ |
| Major 2-mosstep | M2ms | 2L | 200.0¢ to 240.0¢ | |
| 3-mosstep | Minor 3-mosstep | m3ms | 2L + s | 240.0¢ to 300.0¢ |
| Major 3-mosstep | M3ms | 3L | 300.0¢ to 360.0¢ | |
| 4-mosstep | Minor 4-mosstep | m4ms | 3L + s | 360.0¢ to 400.0¢ |
| Major 4-mosstep | M4ms | 4L | 400.0¢ to 480.0¢ | |
| 5-mosstep | Perfect 5-mosstep | P5ms | 4L + s | 480.0¢ to 500.0¢ |
| Augmented 5-mosstep | A5ms | 5L | 500.0¢ to 600.0¢ | |
| 6-mosstep | Perfect 6-mosstep | P6ms | 5L + s | 600.0¢ |
| 7-mosstep | Diminished 7-mosstep | d7ms | 5L + 2s | 600.0¢ to 700.0¢ |
| Perfect 7-mosstep | P7ms | 6L + s | 700.0¢ to 720.0¢ | |
| 8-mosstep | Minor 8-mosstep | m8ms | 6L + 2s | 720.0¢ to 800.0¢ |
| Major 8-mosstep | M8ms | 7L + s | 800.0¢ to 840.0¢ | |
| 9-mosstep | Minor 9-mosstep | m9ms | 7L + 2s | 840.0¢ to 900.0¢ |
| Major 9-mosstep | M9ms | 8L + s | 900.0¢ to 960.0¢ | |
| 10-mosstep | Minor 10-mosstep | m10ms | 8L + 2s | 960.0¢ to 1000.0¢ |
| Major 10-mosstep | M10ms | 9L + s | 1000.0¢ to 1080.0¢ | |
| 11-mosstep | Perfect 11-mosstep | P11ms | 9L + 2s | 1080.0¢ to 1100.0¢ |
| Augmented 11-mosstep | A11ms | 10L + s | 1100.0¢ to 1200.0¢ | |
| 12-mosstep | Perfect 12-mosstep | P12ms | 10L + 2s | 1200.0¢ |
Scale tree
| Generator(edo) | Cents | Step ratio | Comments(always proper) | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 1\12 | 100.000 | 500.000 | 1:1 | 1.000 | Equalized 10L 2s | |||||
| 6\70 | 102.857 | 497.143 | 6:5 | 1.200 | ||||||
| 5\58 | 103.448 | 496.552 | 5:4 | 1.250 | ||||||
| 9\104 | 103.846 | 496.154 | 9:7 | 1.286 | ||||||
| 4\46 | 104.348 | 495.652 | 4:3 | 1.333 | Supersoft 10L 2s | |||||
| 11\126 | 104.762 | 495.238 | 11:8 | 1.375 | ||||||
| 7\80 | 105.000 | 495.000 | 7:5 | 1.400 | ||||||
| 10\114 | 105.263 | 494.737 | 10:7 | 1.429 | ||||||
| 3\34 | 105.882 | 494.118 | 3:2 | 1.500 | Soft 10L 2s ↕ Srutal / pajara | |||||
| 11\124 | 106.452 | 493.548 | 11:7 | 1.571 | ||||||
| 8\90 | 106.667 | 493.333 | 8:5 | 1.600 | ||||||
| 13\146 | 106.849 | 493.151 | 13:8 | 1.625 | ||||||
| 5\56 | 107.143 | 492.857 | 5:3 | 1.667 | Semisoft 10L 2s | |||||
| 12\134 | 107.463 | 492.537 | 12:7 | 1.714 | ||||||
| 7\78 | 107.692 | 492.308 | 7:4 | 1.750 | ||||||
| 9\100 | 108.000 | 492.000 | 9:5 | 1.800 | ||||||
| 2\22 | 109.091 | 490.909 | 2:1 | 2.000 | Basic 10L 2s | |||||
| 9\98 | 110.204 | 489.796 | 9:4 | 2.250 | ||||||
| 7\76 | 110.526 | 489.474 | 7:3 | 2.333 | ||||||
| 12\130 | 110.769 | 489.231 | 12:5 | 2.400 | ||||||
| 5\54 | 111.111 | 488.889 | 5:2 | 2.500 | Semihard 10L 2s | |||||
| 13\140 | 111.429 | 488.571 | 13:5 | 2.600 | ||||||
| 8\86 | 111.628 | 488.372 | 8:3 | 2.667 | ||||||
| 11\118 | 111.864 | 488.136 | 11:4 | 2.750 | ||||||
| 3\32 | 112.500 | 487.500 | 3:1 | 3.000 | Hard 10L 2s | |||||
| 10\106 | 113.208 | 486.792 | 10:3 | 3.333 | ||||||
| 7\74 | 113.514 | 486.486 | 7:2 | 3.500 | ||||||
| 11\116 | 113.793 | 486.207 | 11:3 | 3.667 | ||||||
| 4\42 | 114.286 | 485.714 | 4:1 | 4.000 | Superhard 10L 2s | |||||
| 9\94 | 114.894 | 485.106 | 9:2 | 4.500 | ||||||
| 5\52 | 115.385 | 484.615 | 5:1 | 5.000 | ||||||
| 6\62 | 116.129 | 483.871 | 6:1 | 6.000 | ||||||
| 1\10 | 120.000 | 480.000 | 1:0 | → ∞ | Collapsed 10L 2s | |||||