Dimigenes comma

Interval information

Ratio	3359375/3359232
Subgroup monzo	2.3.5.43 [-9 -8 7 1⟩
Size in cents	0.07369577¢
Name	dimigenes comma
Color name	43oy7-2, fothosepyo negative 2nd
FJS name	[math]\text{dd}{-2}^{5,5,5,5,5,5,5,43}[/math]
Special properties	reduced
Tenney height (log2 nd)	43.3595
Weil height (log2 max(n, d))	43.3595
Wilson height (sopfr(nd))	120
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math])	~1.19987 bits
Comma size	unnoticeable
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3359375/3359232, the dimigenes comma, is a 43-limit comma, most notably present in the 2.3.5.43 subgroup. It is the difference between a stack of eight 6/5 minor thirds and 43/10, the latter being two octaves plus 43/40, a 43-limit minor second. While the name is constructed to evoke the name of a Greek philosopher, it is actually composed of dimi, from diminished chord, which is built by stacking minor thirds; and genes, from Partch's Genesis scale, which has 43 tones in an octave.