4L 4s
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| Brightest mode | sLsLsLsL | |
| Period | 1\4 | |
| Range for bright generator | 0\4 (0.0¢) to 1\8 (150.0¢) | |
| Range for dark generator | 1\8 (150.0¢) to 1\4 (300.0¢) | |
| Parent MOS | 4edo | |
| Daughter MOSes | 8L 4s, 4L 8s | |
| Sister MOS | 4L 4s | |
| TAMNAMS name | tetrawood; diminished | |
| Equal tunings | ||
| Supersoft (L:s = 4:3) | 3\28 (128.6¢) | |
| Soft (L:s = 3:2) | 2\20 (120.0¢) | |
| Semisoft (L:s = 5:3) | 3\32 (112.5¢) | |
| Basic (L:s = 2:1) | 1\12 (100.0¢) | |
| Semihard (L:s = 5:2) | 2\28 (85.7¢) | |
| Hard (L:s = 3:1) | 1\16 (75.0¢) | |
| Superhard (L:s = 4:1) | 1\20 (60.0¢) | |
The minimum harmonic entropy scale with this MOS pattern is diminished[8], basically the familiar octatonic scale of 12edo.
There are 4 different near-MOSes such that multiples of the period are the only generic intervals with more than two specific representatives: LLsLsLss, LLsLssLs, LLssLLss, LLssLsLs. However, none are strictly proper in 12edo. (They are only proper if the generator is larger than 100 cents, which unfortunately is the wrong direction for good diminished tunings.)
Scale tree
| Generator | Cents | L | s | L/s | Comments | ||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| Chroma-positive | Chroma-negative | ||||||||||
| 1\8 | 150.000 | 150.000 | 1 | 1 | 1.000 | ||||||
| 6\44 | 163.636 | 136.364 | 6 | 5 | 1.200 | Fourfives↑ | |||||
| 5\36 | 166.667 | 133.333 | 5 | 4 | 1.250 | ||||||
| 9\64 | 168.750 | 105.000 | 9 | 7 | 1.286 | ||||||
| 4\28 | 171.429 | 128.571 | 4 | 3 | 1.333 | ||||||
| 11\76 | 173.684 | 126.316 | 11 | 8 | 1.375 | ||||||
| 7\48 | 175.000 | 125.000 | 7 | 5 | 1.400 | ||||||
| 10\68 | 176.471 | 123.529 | 10 | 7 | 1.428 | ||||||
| 3\20 | 180.000 | 60.000 | 3 | 2 | 1.500 | L/s = 3/2 | |||||
| 11\72 | 183.333 | 116.667 | 11 | 7 | 1.571 | ||||||
| 8\52 | 184.615 | 115.385 | 8 | 5 | 1.600 | ||||||
| 13\84 | 185.714 | 114.286 | 13 | 8 | 1.625 | Golden diminished | |||||
| 5\32 | 187.500 | 112.500 | 5 | 3 | 1.667 | ||||||
| 12\76 | 189.474 | 110.526 | 12 | 7 | 1.714 | ||||||
| 7\44 | 190.909 | 109.091 | 7 | 4 | 1.750 | ||||||
| 9\56 | 192.857 | 107.143 | 9 | 5 | 1.800 | ||||||
| 2\12 | 200.000 | 100.000 | 2 | 1 | 2.000 | Basic tetrawood Diminished is optimal around here | |||||
| 9\52 | 207.692 | 92.308 | 9 | 4 | 2.250 | ||||||
| 7\40 | 210.000 | 90.000 | 7 | 3 | 2.333 | ||||||
| 12\68 | 211.765 | 88.235 | 12 | 5 | 2.400 | ||||||
| 5\28 | 214.286 | 85.714 | 5 | 2 | 2.500 | ||||||
| 13\72 | 216.667 | 83.333 | 13 | 5 | 2.600 | Unnamed golden tuning | |||||
| 8\44 | 218.182 | 81.818 | 8 | 3 | 2.667 | ||||||
| 11\60 | 220.000 | 80.000 | 11 | 4 | 2.750 | ||||||
| 3\16 | 225.000 | 75.000 | 3 | 1 | 3.000 | L/s = 3/1 | |||||
| 10\52 | 230.769 | 69.231 | 10 | 3 | 3.333 | ||||||
| 7\36 | 233.333 | 66.667 | 7 | 2 | 3.500 | ||||||
| 11\56 | 235.714 | 64.286 | 11 | 3 | 3.667 | ||||||
| 4\20 | 240.000 | 60.000 | 4 | 1 | 4.000 | ||||||
| 9\44 | 245.455 | 54.545 | 9 | 2 | 4.500 | ||||||
| 5\24 | 250.000 | 50.000 | 5 | 1 | 5.000 | ||||||
| 6\28 | 257.143 | 42.857 | 6 | 1 | 6.000 | Quadritikleismic↓ | |||||
| 1\4 | 300.000 | 0.000 | 1 | 0 | → inf | ||||||