3L 6s
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Brightest mode
LssLssLss
Period
1\3
Range for bright generator
2\9 (266.7¢) to 1\3 (400¢)
Range for dark generator
0\3 (0¢) to 1\9 (133.3¢)
TAMNAMS name
tcherepnin
TAMNAMS prefix
cher- (abbr. ch)
Parent MOS
3L 3s
Sister MOS
6L 3s
Daughter MOSes
9L 3s, 3L 9s
Equal tunings
Supersoft (L:s = 4:3)
7\30 (280¢)
Soft (L:s = 3:2)
5\21 (285.7¢)
Semisoft (L:s = 5:3)
8\33 (290.9¢)
Basic (L:s = 2:1)
3\12 (300¢)
Semihard (L:s = 5:2)
7\27 (311.1¢)
Hard (L:s = 3:1)
4\15 (320¢)
Superhard (L:s = 4:1)
5\18 (333.3¢)
| ↖2L 5s | ↑3L 5s | 4L 5s↗ |
| ←2L 6s | 3L 6s | 4L 6s→ |
| ↙2L 7s | ↓3L 7s | 4L 7s↘ |
3L 6s, also called tcherepnin, is a moment of symmetry scale consisting of 3 large steps and 6 small steps, with a period of 1 large step and 2 small steps that repeats 3 times every octave, or every 400¢. This scale is made using a generator ranging from 266.667¢ to 400¢, or from 0¢ to 133.333¢.
Scale tree
| Generator | Cents | L | s | L/s | Comments | ||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| Chroma-positive | Chroma-negative | ||||||||||
| 2\9 | 266.667 | 133.333 | 1 | 1 | 1.000 | ||||||
| 11\48 | 275.000 | 125.000 | 6 | 5 | 1.200 | ||||||
| 9\39 | 276.923 | 123.077 | 5 | 4 | 1.250 | ||||||
| 16\69 | 278.261 | 121.739 | 9 | 7 | 1.286 | ||||||
| 7\30 | 280.000 | 120.000 | 4 | 3 | 1.333 | ||||||
| 19\81 | 281.481 | 118.519 | 11 | 8 | 1.375 | ||||||
| 12\51 | 282.353 | 117.647 | 7 | 5 | 1.400 | ||||||
| 17\72 | 283.333 | 116.667 | 10 | 7 | 1.428 | ||||||
| 5\21 | 285.714 | 114.286 | 3 | 2 | 1.500 | ||||||
| 18\75 | 288.000 | 112.000 | 11 | 7 | 1.571 | ||||||
| 13\54 | 288.889 | 111.111 | 8 | 5 | 1.600 | ||||||
| 21\87 | 289.655 | 110.345 | 13 | 8 | 1.625 | Unnamed golden tuning | |||||
| 8\33 | 290.909 | 109.091 | 5 | 3 | 1.667 | ||||||
| 19\78 | 292.308 | 107.692 | 12 | 7 | 1.714 | ||||||
| 11\45 | 293.333 | 106.667 | 7 | 4 | 1.750 | ||||||
| 14\57 | 294.737 | 105.263 | 9 | 5 | 1.800 | August | |||||
| 3\12 | 300.000 | 100.000 | 2 | 1 | 2.000 | Basic tcherepnin (Generators smaller than this are proper) | |||||
| 13\51 | 305.882 | 94.118 | 9 | 4 | 2.250 | ||||||
| 10\39 | 307.692 | 92.308 | 7 | 3 | 2.333 | ||||||
| 17\66 | 309.091 | 90.909 | 12 | 5 | 2.400 | Augene (optimal around here) | |||||
| 7\27 | 311.111 | 88.889 | 5 | 2 | 2.500 | ||||||
| 18\69 | 313.043 | 86.957 | 13 | 5 | 2.600 | Unnamed golden tuning | |||||
| 11\42 | 314.286 | 85.714 | 8 | 3 | 2.667 | ||||||
| 15\57 | 315.789 | 84.211 | 11 | 4 | 2.750 | August | |||||
| 4\15 | 320.000 | 80.000 | 3 | 1 | 3.000 | ||||||
| 13\48 | 325.000 | 75.000 | 10 | 3 | 3.333 | Inflated | |||||
| 9\33 | 327.273 | 72.727 | 7 | 2 | 3.500 | ||||||
| 14\51 | 329.412 | 70.588 | 11 | 3 | 3.667 | ||||||
| 5\18 | 333.333 | 66.667 | 4 | 1 | 4.000 | ||||||
| 11\39 | 338.462 | 61.538 | 9 | 2 | 4.500 | ||||||
| 6\21 | 342.857 | 57.143 | 5 | 1 | 5.000 | ||||||
| 7\24 | 350.000 | 50.000 | 6 | 1 | 6.000 | Hemiug, hemiaug↓ | |||||
| 1\3 | 400.000 | 0.000 | 1 | 0 | → inf | ||||||