Dimigenes comma
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Ratio | 3359375/3359232 |
Subgroup monzo | 2.3.5.43 [-9 -8 7 1⟩ |
Size in cents | 0.073695773¢ |
Name | dimigenes comma |
Color name | 43oy^{7}-2, fothosepyo negative 2nd |
FJS name | [math]\text{dd}{-2}^{5,5,5,5,5,5,5,43}[/math] |
Special properties | reduced |
Tenney height (log_{2} nd) | 43.3595 |
Weil height (log_{2} 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.