# 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 |