Dimigenes comma

From Xenharmonic Wiki
(Redirected from 3359375/3359232)
Jump to navigation Jump to search
Interval information
Ratio 3359375/3359232
Subgroup monzo 2.3.5.43 [-9 -8 7 1
Size in cents 0.073695773¢
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{n\cdot d}[/math])
~2.39832 bits
Comma size unnoticeable
open this interval in xen-calc

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.