8L 3s

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8L 3s
Brightest mode LLLsLLLsLLs
Period 2/1
Range for bright generator 4\11 (436.4¢) to 3\8 (450.0¢)
Range for dark generator 5\8 (750.0¢) to 7\11 (763.6¢)
Parent MOS 3L 5s
Daughter MOSes 11L 8s, 8L 11s
Sister MOS 3L 8s
Equal tunings
Supersoft (L:s = 4:3) 15\41 (439.0¢)
Soft (L:s = 3:2) 11\30 (440.0¢)
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¢)

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