3L 8s

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↖2L 7s↑3L 7s 4L 7s↗
←2L 8s3L 8s4L 8s→
↙2L 9s↓3L 9s 4L 9s↘
Brightest mode LssLsssLsss
Period 2/1
Range for bright generator 7\11 (763.6¢) to 2\3 (800¢)
Range for dark generator 1\3 (400¢) to 4\11 (436.4¢)
Parent MOS 3L 5s
Sister MOS 8L 3s
Daughter MOSes 11L 3s, 3L 11s
Equal tunings
Supersoft (L:s = 4:3) 23\36 (766.7¢)
Soft (L:s = 3:2) 16\25 (768¢)
Semisoft (L:s = 5:3) 25\39 (769.2¢)
Basic (L:s = 2:1) 9\14 (771.4¢)
Semihard (L:s = 5:2) 20\31 (774.2¢)
Hard (L:s = 3:1) 11\17 (776.5¢)
Superhard (L:s = 4:1) 13\20 (780¢)

This scale, with a generator between 1\3 octave (400 cents) and 4\11 octave (436 4/11), has versions relating to ditonic/coditone, roman, bossier, sqrtphi and squares.

Gen Cents L:s Comments
1\3 400 Paucitonic, 3edo
18\53 407.547 Ditonic
17\50 408.000
16\47 408.511
15\44 409.091
14\41 409.756
13\38 410.526
12\35 411.429
11\32 412.500
10\29 413.793 Roman
9\26 415.385
17\49 416.3265
25\72 416.667 Sqrtphi
8\23 417.391
7\20 420 4:1
13\37 421.621 Bossier
422.956
6\17 423.529 3:1
424.76
17\48 425
425.23
11\31 425.806 5:2 Squares
16\45 426.667
5\14 428.521 2:1
19\53 430.187
430.312
14\39 430.769
431.1185
23\64 431.25
431.465
9\25 432 3:2
22\61 432.787
13\36 433.333
17\47 434.043
21\58 434.483
25\69 434.783 7:6
29\80 435 8:7
33\91 435.164 9:8
4\11 436.364 1:1 Equalized, 11edo