3L 3s
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| Brightest mode | LsLsLs | |
| Period | 1\3 | |
| Range for bright generator | 0\3 (0.0¢) to 1\6 (200.0¢) | |
| Range for dark generator | 1\6 (200.0¢) to 1\3 (400.0¢) | |
| Parent MOS | 3edo | |
| Daughter MOSes | 6L 3s, 3L 6s | |
| Sister MOS | 3L 3s | |
| TAMNAMS name | triwood | |
| Equal tunings | ||
| Supersoft (L:s = 4:3) | 3\21 (171.4¢) | |
| Soft (L:s = 3:2) | 2\15 (160.0¢) | |
| Semisoft (L:s = 5:3) | 3\24 (150.0¢) | |
| Basic (L:s = 2:1) | 1\9 (133.3¢) | |
| Semihard (L:s = 5:2) | 2\21 (114.3¢) | |
| Hard (L:s = 3:1) | 1\12 (100.0¢) | |
| Superhard (L:s = 4:1) | 1\15 (80.0¢) | |
The true MOS is LsLsLs but interesting near-MOSs include LLsLss and LLssLs. The MOS is always proper but the other forms are only proper if the generator is larger than 1\9 of an octave (so not augmented).
Out of all proper six-note MOS scales, this augmented scale probably has the lowest harmonic entropy.
Scale tree
| Generator | Cents | L | s | L/s | Comments | ||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| Chroma-positive | Chroma-negative | ||||||||||
| 1\6 | 200.000 | 200.000 | 1 | 1 | 1.000 | ||||||
| 6\33 | 218.182 | 181.818 | 6 | 5 | 1.200 | ||||||
| 5\27 | 222.222 | 177.778 | 5 | 4 | 1.250 | ||||||
| 9\48 | 225.000 | 175.000 | 9 | 7 | 1.286 | Oodako | |||||
| 4\21 | 228.571 | 171.429 | 4 | 3 | 1.333 | ||||||
| 11\57 | 231.579 | 168.421 | 11 | 8 | 1.375 | ||||||
| 7\36 | 233.333 | 166.667 | 7 | 5 | 1.400 | ||||||
| 10\51 | 235.294 | 164.706 | 10 | 7 | 1.428 | ||||||
| 3\15 | 240.000 | 160.000 | 3 | 2 | 1.500 | ||||||
| 11\54 | 244.444 | 155.556 | 11 | 7 | 1.571 | ||||||
| 8\39 | 246.154 | 153.846 | 8 | 5 | 1.600 | Triforce | |||||
| 13\63 | 247.619 | 152.381 | 13 | 8 | 1.625 | Unnamed golden tuning | |||||
| 5\24 | 250.000 | 150.000 | 5 | 3 | 1.667 | ||||||
| 12\57 | 252.632 | 147.368 | 12 | 7 | 1.714 | ||||||
| 7\33 | 254.545 | 145.455 | 7 | 4 | 1.750 | ||||||
| 9\42 | 257.143 | 142.857 | 9 | 5 | 1.800 | ||||||
| 2\9 | 266.667 | 133.333 | 2 | 1 | 2.000 | Basic triwood | |||||
| 9\39 | 276.923 | 123.077 | 9 | 4 | 2.250 | ||||||
| 7\30 | 280.000 | 120.000 | 7 | 3 | 2.333 | Deflated (optimal around here) | |||||
| 12\51 | 282.353 | 117.647 | 12 | 5 | 2.400 | ||||||
| 5\21 | 285.714 | 114.286 | 5 | 2 | 2.500 | ||||||
| 13\54 | 288.889 | 111.111 | 13 | 5 | 2.600 | Unnamed golden tuning | |||||
| 8\33 | 290.909 | 109.091 | 8 | 3 | 2.667 | ||||||
| 11\45 | 293.333 | 106.667 | 11 | 4 | 2.750 | August | |||||
| 3\12 | 300.000 | 100.000 | 3 | 1 | 3.000 | Trug (optimal around here) | |||||
| 10\39 | 307.692 | 92.308 | 10 | 3 | 3.333 | Augene | |||||
| 7\27 | 311.111 | 88.889 | 7 | 2 | 3.500 | ||||||
| 11\42 | 314.286 | 85.714 | 11 | 3 | 3.667 | ||||||
| 4\15 | 320.000 | 80.000 | 4 | 1 | 4.000 | Inflated | |||||
| 9\33 | 327.273 | 72.727 | 9 | 2 | 4.500 | ||||||
| 5\18 | 333.333 | 66.667 | 5 | 1 | 5.000 | ||||||
| 6\21 | 342.857 | 57.143 | 6 | 1 | 6.000 | Hemiug↓, hemiaug↓ | |||||
| 1\3 | 400.000 | 0.000 | 1 | 0 | → inf | ||||||