6L 6s
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Scale structure
Step pattern
LsLsLsLsLsLs
sLsLsLsLsLsL
Equave
2/1 (1200.0¢)
Period
1\6 (200.0¢)
Generator size
Bright
1\12 to 1\6 (100.0¢ to 200.0¢)
Dark
0\6 to 1\12 (0.0¢ to 100.0¢)
Related MOS scales
Parent
6L 0s
Sister
6L 6s
Daughters
12L 6s, 6L 12s
Neutralized
12L 0s
2-Flought
18L 6s, 6L 18s
Equal tunings
Equalized (L:s = 1:1)
1\12 (100.0¢)
Supersoft (L:s = 4:3)
4\42 (114.3¢)
Soft (L:s = 3:2)
3\30 (120.0¢)
Semisoft (L:s = 5:3)
5\48 (125.0¢)
Basic (L:s = 2:1)
2\18 (133.3¢)
Semihard (L:s = 5:2)
5\42 (142.9¢)
Hard (L:s = 3:1)
3\24 (150.0¢)
Superhard (L:s = 4:1)
4\30 (160.0¢)
Collapsed (L:s = 1:0)
1\6 (200.0¢)
| ↖ 5L 5s | ↑ 6L 5s | 7L 5s ↗ |
| ← 5L 6s | 6L 6s | 7L 6s → |
| ↙ 5L 7s | ↓ 6L 7s | 7L 7s ↘ |
┌╥┬╥┬╥┬╥┬╥┬╥┬┐ │║│║│║│║│║│║││ ││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┘
sLsLsLsLsLsL
6L 6s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 6 large steps and 6 small steps, with a period of 1 large step and 1 small step that repeats every 200.0¢, or 6 times every octave. Generators that produce this scale range from 100¢ to 200¢, or from 0¢ to 100¢. Scales of the true MOS form, where every period is the same, are proper because there is only one small step per period. 6L 6s represents the bi-equal chromatic scale of Hexe temperament.
Modes
| UDP | Cyclic order |
Step pattern |
|---|---|---|
| 6|0(6) | 1 | LsLsLsLsLsLs |
| 0|6(6) | 2 | sLsLsLsLsLsL |
Scale tree
| Generator(edo) | Cents | Step ratio | Comments(always proper) | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 1\12 | 100.000 | 100.000 | 1:1 | 1.000 | Equalized 6L 6s | |||||
| 6\66 | 109.091 | 90.909 | 6:5 | 1.200 | ↑ Semimist | |||||
| 5\54 | 111.111 | 88.889 | 5:4 | 1.250 | Optimal hexe | |||||
| 9\96 | 112.500 | 87.500 | 9:7 | 1.286 | ||||||
| 4\42 | 114.286 | 85.714 | 4:3 | 1.333 | Supersoft 6L 6s | |||||
| 11\114 | 115.789 | 84.211 | 11:8 | 1.375 | ||||||
| 7\72 | 116.667 | 83.333 | 7:5 | 1.400 | ||||||
| 10\102 | 117.647 | 82.353 | 10:7 | 1.429 | ||||||
| 3\30 | 120.000 | 80.000 | 3:2 | 1.500 | Soft 6L 6s | |||||
| 11\108 | 122.222 | 77.778 | 11:7 | 1.571 | ||||||
| 8\78 | 123.077 | 76.923 | 8:5 | 1.600 | ||||||
| 13\126 | 123.810 | 76.190 | 13:8 | 1.625 | Unnamed golden tuning | |||||
| 5\48 | 125.000 | 75.000 | 5:3 | 1.667 | Semisoft 6L 6s | |||||
| 12\114 | 126.316 | 73.684 | 12:7 | 1.714 | ||||||
| 7\66 | 127.273 | 72.727 | 7:4 | 1.750 | ||||||
| 9\84 | 128.571 | 71.429 | 9:5 | 1.800 | ||||||
| 2\18 | 133.333 | 66.667 | 2:1 | 2.000 | Basic 6L 6s | |||||
| 9\78 | 138.462 | 61.538 | 9:4 | 2.250 | ||||||
| 7\60 | 140.000 | 60.000 | 7:3 | 2.333 | ||||||
| 12\102 | 141.176 | 58.824 | 12:5 | 2.400 | ||||||
| 5\42 | 142.857 | 57.143 | 5:2 | 2.500 | Semihard 6L 6s | |||||
| 13\108 | 144.444 | 55.556 | 13:5 | 2.600 | Unnamed golden tuning | |||||
| 8\66 | 145.455 | 54.545 | 8:3 | 2.667 | ||||||
| 11\90 | 146.667 | 53.333 | 11:4 | 2.750 | ||||||
| 3\24 | 150.000 | 50.000 | 3:1 | 3.000 | Hard 6L 6s | |||||
| 10\78 | 153.846 | 46.154 | 10:3 | 3.333 | ||||||
| 7\54 | 155.556 | 44.444 | 7:2 | 3.500 | ||||||
| 11\84 | 157.143 | 42.857 | 11:3 | 3.667 | ||||||
| 4\30 | 160.000 | 40.000 | 4:1 | 4.000 | Superhard 6L 6s | |||||
| 9\66 | 163.636 | 36.364 | 9:2 | 4.500 | ||||||
| 5\36 | 166.667 | 33.333 | 5:1 | 5.000 | ||||||
| 6\42 | 171.429 | 28.571 | 6:1 | 6.000 | ||||||
| 1\6 | 200.000 | 0.000 | 1:0 | → ∞ | Collapsed 6L 6s | |||||