5L 9s

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This MOS, with a period running L 2s L 2s L 2s L 2s L s, has a generator between 1/5edo (240 cents) and 3/14edo (257.143). 4/3 being approximated by +2 generators, the generator is called a semi-fourth. The most salient feature of the semi-fourth interval is that it is an ambiguous 8/7~7/6, or an approximate 15/13 if the scale is viewed as involving factors of 13. This MOS can be viewed as two parallel diatonic scales separated by a semi-fourth, and has analogous points of low harmonic entropy where two generators would approximate a meantone or superpyth 5th, plus an additional one between 15/13 & sqrt(4/3) where it is ideal for barbados subgroup harmonies.

1/5 240
7/34 247.059
6/29 248.276
11/53 249.057
249.7135
5/24 250
250.6235
14/67 250.746
250.865
9/43 251.163
13/62 251.613
4/19 252.632
15/71 253.521
253.59
11/52 253.846
254.043
18/85 254.118
254.24
7/33 254.5455
17/80 255
10/47 255.319
13/61 255.738
3/14 257.143