3L 9s

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This MOS is always proper because its period runs Lsss. It is generated by a semitone of 1/12edo (100 cents) or less. It represents, among other chromatic scales, that of the Augene temperament.

0/3 0
1/24 50
4/93 51.613
3/69 52.174
2/45 53.333
3/66 54.5455
4/87 55.172
5/108 55.556
6/129 55.814
7/150 56
1/21 57.143
5/102 58.8235
4/81 59.259
3/60 60
2/39 61.5385
5/96 62.5
3/57 63.158
4/75 64
5/93 64.516
6/111 64.865
7/129 65.116
400/(3+pi)
1/18 66.667
400/(3+e)
9/159 67.9245
8/141 68.085
7/123 68.293
6/105 68.571
5/87 68.9655
4/69 69.478
3/51 70.588
400/(4+phi)
5/84 71.429
2/33 72.727
7/114 73.684
5/81 74.074
3/48 75
4/63 76.1905
5/78 76.923
6/93 77.419
7/108 77.778
8/123 78.049
9/138 78.261
10/153 78.431
11/168 78.571
12/183 78.6885
13/198 78.788
14/213 78.873
15/228 78.947
16/243 79.012
1/15 80
9/132 81,818
8/117 82.051
7/102 82.353
6/87 82.759
5/72 83.333
4/57 84.2105
400/(3+sqrt(3))
3/42 85.714
400/(3+phi)
5/69 86.9565
400/(3+pi/2)
7/96 87.5
2/27 88.889
11/147 89.796
9/120 90
7/93 90.323
5/66 90.909
8/105 91.429
3/39 92.308
7/90 93.333
4/51 94.118
1/12 100