1L 11s

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This MOS, also called the "happy dodecatonic", is not a complete scale for any "interesting" temperament ― the simplest absolute harmonic entropy minimum for it is where +7 generators equals a meantone fifth, and even there it implies a val with warts for 3 and (for the most part) 5. Perhaps the only use for it is to extend it to 13 tones, i.e. to make it into a different MOS.

generator L s L/s gen (cents) comment
0\1 1 0 0.000
1\19 8 1 8.000 63.159
1\18 7 1 7.000 66.667
1\17 6 1 6.000 70.588
2\33 11 2 5.500 72.727
1\16 5 1 5.000 75.000
3\47 14 3 4.667 76.596
2\31 9 2 4.500 77.419
3\46 13 3 4.333 78.261
1\15 4 1 4.000 80.000
4\59 15 4 3.750 81.356
3\44 11 3 3.667 81.818
5\73 18 5 3.600 82.192
2\29 7 2 3.500 82.759
5\72 17 5 3.400 83.333
3\43 10 3 3.333 83.721
4\57 13 4 3.250 84.211
1\14 3 1 3.000 85.714
5\69 14 5 2.800 86.957
4\55 11 4 2.750 87.273
7\96 19 7 2.714 87.500
3\41 8 3 2.667 87.805 Octacot is around here
5\68 13 5 2.600 88.235
7\95 18 7 2.571 88.421
2\27 5 2 2.500 88.889
7\94 17 7 2.429 89.362
5\67 12 5 2.400 89.552
3\40 7 3 2.333 90.000
7\93 16 7 2.286 90.323
4\53 9 4 2.250 90.566
5\66 11 5 2.200 90.909
1\13 2 1 2.000 92.308
6\77 11 6 1.833 93.506
5\64 9 5 1.800 93.750
4\51 7 4 1.750 94.118
7\89 12 7 1.714 94.382
3\38 5 3 1.667 94.737
5\63 8 5 1.600 95.238
7\88 11 7 1.571 95.455
2\25 3 2 1.500 96.000
7\87 10 7 1.429 96.552
5\62 7 5 1.400 96.774
8\99 11 8 1.375 96.970
3\37 4 3 1.333 97.297
7\86 9 7 1.286 97.674
4\49 5 4 1.250 97.959 Passion is around here
5\61 6 5 1.200 98.361
6\73 7 6 1.167 98.630
7\85 8 7 1.143 98.8235
1\12 1 1 1.000 100.000