11L 2s

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11L 2s
Brightest mode LLLLLLsLLLLLs
Period 2/1
Range for bright generator 7\13 (646.2¢) to 6\11 (654.5¢)
Range for dark generator 5\11 (545.5¢) to 6\13 (553.8¢)
Parent MOS 2L 9s
Daughter MOSes 13L 11s, 11L 13s
Sister MOS 2L 11s
Equal tunings
Supersoft (L:s = 4:3) 27\50 (648.0¢)
Soft (L:s = 3:2) 20\37 (648.6¢)
Semisoft (L:s = 5:3) 33\61 (649.2¢)
Basic (L:s = 2:1) 13\24 (650.0¢)
Semihard (L:s = 5:2) 32\59 (650.8¢)
Hard (L:s = 3:1) 19\35 (651.4¢)
Superhard (L:s = 4:1) 25\46 (652.2¢)

The 11L 2s MOS scale is notable for correponding to the mega chromatic scale of Heinz temperament. Its generator of 5\11 to 6\13 hits so close to 11/8 as to be able to be called nothing but that interval, making it an 11+-limit scale.

Scale tree

generator L s L/s gen (cents) comment
5\11 1 0 545.455
41\90 8 1 8.000 546.667
36\79 7 1 7.000 546.835
31\68 6 1 6.000 547.059
26\57 5 1 5.000 547.368
21\46 4 1 4.000 547.826 Heinz is around here
37\81 7 2 3.500 548.148
16\35 3 1 3.000 548.571
43\94 8 3 2.667 548.936
27\59 5 2 2.500 549.153
38\83 7 3 2.333 549.398
11\24 2 1 2.000 550.000
39\85 7 4 1.750 550.588
28\61 5 3 1.667 550.820
(5φ+1)/(11φ+2) φ 1 1.618 550.965
45\98 8 5 1.600 551.020
17\37 3 2 1.500 551.351
40\87 7 5 1.400 551.724
23\50 4 3 1.333 552.000
29\63 5 4 1.250 552.381
35\76 6 5 1.200 552.632
41\89 7 6 1.167 552.809
47\102 8 7 1.125 552.941
6\13 1 1 1.000 553.846