6L 12s
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Scale structure
Step pattern
LssLssLssLssLssLss
ssLssLssLssLssLssL
Equave
2/1 (1200.0¢)
Period
1\6 (200.0¢)
Generator size
Bright
2\18 to 1\6 (133.3¢ to 200.0¢)
Dark
0\6 to 1\18 (0.0¢ to 66.7¢)
TAMNAMS information
Descends from
6L 6s
Ancestor's step ratio range
2:1 to 1:0 (hard-of-basic)
Related MOS scales
Parent
6L 6s
Sister
12L 6s
Daughters
18L 6s, 6L 18s
Neutralized
12L 6s
2-Flought
24L 12s, 6L 30s
Equal tunings
Equalized (L:s = 1:1)
2\18 (133.3¢)
Supersoft (L:s = 4:3)
7\60 (140.0¢)
Soft (L:s = 3:2)
5\42 (142.9¢)
Semisoft (L:s = 5:3)
8\66 (145.5¢)
Basic (L:s = 2:1)
3\24 (150.0¢)
Semihard (L:s = 5:2)
7\54 (155.6¢)
Hard (L:s = 3:1)
4\30 (160.0¢)
Superhard (L:s = 4:1)
5\36 (166.7¢)
Collapsed (L:s = 1:0)
1\6 (200.0¢)
| ↖ 5L 11s | ↑ 6L 11s | 7L 11s ↗ |
| ← 5L 12s | 6L 12s | 7L 12s → |
| ↙ 5L 13s | ↓ 6L 13s | 7L 13s ↘ |
┌╥┬┬╥┬┬╥┬┬╥┬┬╥┬┬╥┬┬┐ │║││║││║││║││║││║│││ ││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
ssLssLssLssLssLssL
6L 12s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 6 large steps and 12 small steps, with a period of 1 large step and 2 small steps that repeats every 200.0¢, or 6 times every octave. 6L 12s is a child scale of 6L 6s, expanding it by 6 tones. Generators that produce this scale range from 133.3¢ to 200¢, or from 0¢ to 66.7¢.
Modes
| UDP | Cyclic order |
Step pattern |
|---|---|---|
| 12|0(6) | 1 | LssLssLssLssLssLss |
| 6|6(6) | 3 | sLssLssLssLssLssLs |
| 0|12(6) | 2 | ssLssLssLssLssLssL |
Intervals
| Intervals | Steps subtended |
Range in cents | ||
|---|---|---|---|---|
| Generic | Specific | Abbrev. | ||
| 0-mosstep | Perfect 0-mosstep | P0ms | 0 | 0.0¢ |
| 1-mosstep | Perfect 1-mosstep | P1ms | s | 0.0¢ to 66.7¢ |
| Augmented 1-mosstep | A1ms | L | 66.7¢ to 200.0¢ | |
| 2-mosstep | Diminished 2-mosstep | d2ms | 2s | 0.0¢ to 133.3¢ |
| Perfect 2-mosstep | P2ms | L + s | 133.3¢ to 200.0¢ | |
| 3-mosstep | Perfect 3-mosstep | P3ms | L + 2s | 200.0¢ |
| 4-mosstep | Perfect 4-mosstep | P4ms | L + 3s | 200.0¢ to 266.7¢ |
| Augmented 4-mosstep | A4ms | 2L + 2s | 266.7¢ to 400.0¢ | |
| 5-mosstep | Diminished 5-mosstep | d5ms | L + 4s | 200.0¢ to 333.3¢ |
| Perfect 5-mosstep | P5ms | 2L + 3s | 333.3¢ to 400.0¢ | |
| 6-mosstep | Perfect 6-mosstep | P6ms | 2L + 4s | 400.0¢ |
| 7-mosstep | Perfect 7-mosstep | P7ms | 2L + 5s | 400.0¢ to 466.7¢ |
| Augmented 7-mosstep | A7ms | 3L + 4s | 466.7¢ to 600.0¢ | |
| 8-mosstep | Diminished 8-mosstep | d8ms | 2L + 6s | 400.0¢ to 533.3¢ |
| Perfect 8-mosstep | P8ms | 3L + 5s | 533.3¢ to 600.0¢ | |
| 9-mosstep | Perfect 9-mosstep | P9ms | 3L + 6s | 600.0¢ |
| 10-mosstep | Perfect 10-mosstep | P10ms | 3L + 7s | 600.0¢ to 666.7¢ |
| Augmented 10-mosstep | A10ms | 4L + 6s | 666.7¢ to 800.0¢ | |
| 11-mosstep | Diminished 11-mosstep | d11ms | 3L + 8s | 600.0¢ to 733.3¢ |
| Perfect 11-mosstep | P11ms | 4L + 7s | 733.3¢ to 800.0¢ | |
| 12-mosstep | Perfect 12-mosstep | P12ms | 4L + 8s | 800.0¢ |
| 13-mosstep | Perfect 13-mosstep | P13ms | 4L + 9s | 800.0¢ to 866.7¢ |
| Augmented 13-mosstep | A13ms | 5L + 8s | 866.7¢ to 1000.0¢ | |
| 14-mosstep | Diminished 14-mosstep | d14ms | 4L + 10s | 800.0¢ to 933.3¢ |
| Perfect 14-mosstep | P14ms | 5L + 9s | 933.3¢ to 1000.0¢ | |
| 15-mosstep | Perfect 15-mosstep | P15ms | 5L + 10s | 1000.0¢ |
| 16-mosstep | Perfect 16-mosstep | P16ms | 5L + 11s | 1000.0¢ to 1066.7¢ |
| Augmented 16-mosstep | A16ms | 6L + 10s | 1066.7¢ to 1200.0¢ | |
| 17-mosstep | Diminished 17-mosstep | d17ms | 5L + 12s | 1000.0¢ to 1133.3¢ |
| Perfect 17-mosstep | P17ms | 6L + 11s | 1133.3¢ to 1200.0¢ | |
| 18-mosstep | Perfect 18-mosstep | P18ms | 6L + 12s | 1200.0¢ |
Scale tree
| Generator(edo) | Cents | Step ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 2\18 | 133.333 | 66.667 | 1:1 | 1.000 | Equalized 6L 12s | |||||
| 11\96 | 137.500 | 62.500 | 6:5 | 1.200 | ||||||
| 9\78 | 138.462 | 61.538 | 5:4 | 1.250 | ||||||
| 16\138 | 139.130 | 60.870 | 9:7 | 1.286 | ||||||
| 7\60 | 140.000 | 60.000 | 4:3 | 1.333 | Supersoft 6L 12s | |||||
| 19\162 | 140.741 | 59.259 | 11:8 | 1.375 | ||||||
| 12\102 | 141.176 | 58.824 | 7:5 | 1.400 | ||||||
| 17\144 | 141.667 | 58.333 | 10:7 | 1.429 | ||||||
| 5\42 | 142.857 | 57.143 | 3:2 | 1.500 | Soft 6L 12s | |||||
| 18\150 | 144.000 | 56.000 | 11:7 | 1.571 | ||||||
| 13\108 | 144.444 | 55.556 | 8:5 | 1.600 | ||||||
| 21\174 | 144.828 | 55.172 | 13:8 | 1.625 | ||||||
| 8\66 | 145.455 | 54.545 | 5:3 | 1.667 | Semisoft 6L 12s | |||||
| 19\156 | 146.154 | 53.846 | 12:7 | 1.714 | ||||||
| 11\90 | 146.667 | 53.333 | 7:4 | 1.750 | ||||||
| 14\114 | 147.368 | 52.632 | 9:5 | 1.800 | ||||||
| 3\24 | 150.000 | 50.000 | 2:1 | 2.000 | Basic 6L 12s Scales with tunings softer than this are proper | |||||
| 13\102 | 152.941 | 47.059 | 9:4 | 2.250 | ||||||
| 10\78 | 153.846 | 46.154 | 7:3 | 2.333 | ||||||
| 17\132 | 154.545 | 45.455 | 12:5 | 2.400 | ||||||
| 7\54 | 155.556 | 44.444 | 5:2 | 2.500 | Semihard 6L 12s | |||||
| 18\138 | 156.522 | 43.478 | 13:5 | 2.600 | ||||||
| 11\84 | 157.143 | 42.857 | 8:3 | 2.667 | ||||||
| 15\114 | 157.895 | 42.105 | 11:4 | 2.750 | ||||||
| 4\30 | 160.000 | 40.000 | 3:1 | 3.000 | Hard 6L 12s | |||||
| 13\96 | 162.500 | 37.500 | 10:3 | 3.333 | ||||||
| 9\66 | 163.636 | 36.364 | 7:2 | 3.500 | ||||||
| 14\102 | 164.706 | 35.294 | 11:3 | 3.667 | ||||||
| 5\36 | 166.667 | 33.333 | 4:1 | 4.000 | Superhard 6L 12s | |||||
| 11\78 | 169.231 | 30.769 | 9:2 | 4.500 | ||||||
| 6\42 | 171.429 | 28.571 | 5:1 | 5.000 | ||||||
| 7\48 | 175.000 | 25.000 | 6:1 | 6.000 | ||||||
| 1\6 | 200.000 | 0.000 | 1:0 | → ∞ | Collapsed 6L 12s | |||||
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