8L 3s
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Brightest mode
LLLsLLLsLLs
Period
2/1
Range for bright generator
4\11 (436.4¢) to 3\8 (450¢)
Range for dark generator
5\8 (750¢) to 7\11 (763.6¢)
Parent MOS
3L 5s
Sister MOS
3L 8s
Daughter MOSes
11L 8s, 8L 11s
Equal tunings
Supersoft (L:s = 4:3)
15\41 (439¢)
Soft (L:s = 3:2)
11\30 (440¢)
Semisoft (L:s = 5:3)
18\49 (440.8¢)
Basic (L:s = 2:1)
7\19 (442.1¢)
Semihard (L:s = 5:2)
17\46 (443.5¢)
Hard (L:s = 3:1)
10\27 (444.4¢)
Superhard (L:s = 4:1)
13\35 (445.7¢)
↖7L 2s | ↑8L 2s | 9L 2s↗ |
←7L 3s | 8L 3s | 9L 3s→ |
↙7L 4s | ↓8L 4s | 9L 4s↘ |
The only significant harmonic entropy minimum with this MOS pattern is sensi, in which the generator is 9/7 and two of them make a 5/3.
Generator | Cents | Pentachord steps | Comments | |||||
---|---|---|---|---|---|---|---|---|
4\11 | 436.364 | 1 1 1 1 | ||||||
23\63 | 438.095 | 6 6 6 5 | ||||||
19\52 | 438.462 | 5 5 5 4 | ||||||
15\41 | 439.024 | 4 4 4 3 | ||||||
11\30 | 440 | 3 3 3 2 | Optimum rank range (L/s=3/2) | |||||
440.364 | pi pi pi 2 | |||||||
29\79 | 440.506 | 8 8 8 5 | ||||||
440.592 | phi phi phi 1 | |||||||
47\128 | 440.625 | 13 13 13 8 | Unnamed golden temperament | |||||
18\49 | 440.816 | 5 5 5 3 | ||||||
441.101 | √3 √3 √3 1 | |||||||
25\68 | 441.176 | 7 7 7 4 | ||||||
7\19 | 442.105 | 2 2 2 1 | Boundary of propriety: generators smaller than this are proper | |||||
24\65 | 443.077 | 7 7 7 3 | ||||||
17\46 | 443.478 | 5 5 5 2 | Sensi is about here | |||||
44\119 | 443.6975 | 13 13 13 5 | Golden Sensi | |||||
443.7355 | phi+1 phi+1 phi+1 1 | |||||||
27\73 | 443.836 | 8 8 8 3 | ||||||
443.9385 | e e e 1 | |||||||
10\27 | 444.444 | 3 3 3 1 | ||||||
444.668 | pi pi pi 1 | |||||||
13\35 | 445.714 | 4 4 4 1 | ||||||
16\43 | 446.512 | 5 5 5 1 | ||||||
19\51 | 447.059 | 6 6 6 1 | ||||||
3\8 | 450 | 1 1 1 0 |