5L 9s

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