12L 7s

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This MOS divides its twelve large steps 2-2-2-1-2-2-1 like the familiar 12edo diatonic scale. The perfect fourth which generates it measures 5/12edo (500) to 8/19edo (505.263 cents).

5/12 500
28/67 501.4925
23/55 501.818
41/98 502.041
502.237
18/43 502.326
502.524
49/117 502.564
502.603
31/74 502.703
44/105 502.857
13/31 503.226
47/112 503.429
503.599
34/81 503.704
503.7855
55/131 503.817
583.8685
21/50 504
50/119 504.202
29/69 504.348
37/88 504.5455
8/19 505.263