2L 9s

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↖1L 8s↑2L 8s 3L 8s↗
←1L 9s2L 9s3L 9s→
↙1L 10s↓2L 10s 3L 10s↘
Brightest mode LssssLsssss
Period 2/1
Range for bright generator 5\11 (545.5¢) to 1\2 (600¢)
Range for dark generator 1\2 (600¢) to 6\11 (654.5¢)
Parent MOS 2L 7s
Sister MOS 9L 2s
Daughter MOSes 11L 2s, 2L 11s
Equal tunings
Supersoft (L:s = 4:3) 16\35 (548.6¢)
Soft (L:s = 3:2) 11\24 (550¢)
Semisoft (L:s = 5:3) 17\37 (551.4¢)
Basic (L:s = 2:1) 6\13 (553.8¢)
Semihard (L:s = 5:2) 13\28 (557.1¢)
Hard (L:s = 3:1) 7\15 (560¢)
Superhard (L:s = 4:1) 8\17 (564.7¢)

This MOS, with a generator between 5/11edo (545.4545 cents) and 1/2edo (600), reaches a harmonic entropy minimum when the generator is 7/5. It represents temperaments like Tritonic, Triton, Heinz and Liese.

Names

Tree

5/11 545.4545
21/46 547.826
16/35 548.571
27/59 549.1525
11/24 550
550.583 (L/s = pi/2)
28/61 550.82
550.965 (L/s = phi)
17/37 551.351
551.862 (L/s = sqrt(3))
23/50 552
6/13 553.846
19/41 556.976
13/28 557.143
557.8535 (L/s = phi+1)
20/43 558.1395
558.439 (L/s = e)
7/15 560
560.741 (L/s = pi)
15/32 562.5
8/17 564.706
9/19 568.421
1/2 600