7L 4s

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7L 4s
Brightest mode LLsLLsLLsLs
Period 2/1
Range for bright generator 3\11 (327.3¢) to 2\7 (342.9¢)
Range for dark generator 5\7 (857.1¢) to 8\11 (872.7¢)
Parent MOS 4L 3s
Daughter MOSes 11L 7s, 7L 11s
Sister MOS 4L 7s
Equal tunings
Supersoft (L:s = 4:3) 11\40 (330.0¢)
Soft (L:s = 3:2) 8\29 (331.0¢)
Semisoft (L:s = 5:3) 13\47 (331.9¢)
Basic (L:s = 2:1) 5\18 (333.3¢)
Semihard (L:s = 5:2) 12\43 (334.9¢)
Hard (L:s = 3:1) 7\25 (336.0¢)
Superhard (L:s = 4:1) 9\32 (337.5¢)

7L 4s has a generator of an augmented minor or diminished neutral third of 327.273 (3/11edo) to 342.857 (2/7edo) cents. Its harmonic entropy minimum, insofar as it may be said to have one, is improper (Amity/Hitchcock/Sixix) and also tonally awkward because its large and steps are extremely unequal (L>=4, s=1). However, it is still notable for representing 17:14 with tolerable accuracy for as much as that's worth.

Scale tree

Generator Cents L s L/s Comments
3\11 327.273 1 1 1.000
17\62 329.032 6 5 1.200
14\51 329.412 5 4 1.250
25\91 329.670 9 7 1.286
11\40 330.000 4 3 1.333
30\109 330.275 11 8 1.375
19\69 330.435 7 5 1.400
27\98 330.612 10 7 1.428
8\29 331.034 3 2 1.500 L/s = 3/2
29\105 331.429 11 7 1.571
21\76 331.579 8 5 1.600
34\123 331.707 13 8 1.625 Unnamed golden tuning
13\47 331.915 5 3 1.667
31\112 332.143 12 7 1.714
18\65 332.308 7 4 1.750
23\83 332.530 9 5 1.800
5\18 333.333 2 1 2.000 Basic 7L 4s
(Generators smaller than this are proper)
22\79 334.177 9 4 2.250
17\61 334.426 7 3 2.333
29\104 334.615 12 5 2.400
12\43 334.884 5 2 2.500
31\111 335.135 13 5 2.600 Cohemimabila, unnamed golden tuning
19\68 335.294 8 3 2.667
26\93 335.484 11 4 2.750
7\25 336.000 3 1 3.000 L/s = 3/1
23\82 336.585 10 3 3.333
16\57 336.842 7 2 3.500
25\89 337.079 11 3 3.667
9\32 337.500 4 1 4.000 Sixix
20\71 338.028 9 2 4.500
11\39 338.462 5 1 5.000
13\46 339.130 6 1 6.000 Amity/hitchcock↓
2\7 342.857 1 0 → inf