Zetave

Interval information

Expression	[math]\displaystyle{ e^{2\pi} }[/math]
Size in cents	10877.66¢
Name	zetave

The zetave, e^tau or ~535.49/1 is the interval which is equally divided when the zeta function is not scaled so that Im(s) corresponds to edos. In other words, imaginary values on the Riemann zeta function correspond to equal divisions of the zetave (EDZ). 12edo is about 108.776643404edz. The appearance of the zetave in the zeta function's usage in tuning suggests that it has some sort of natural relation to equal-step tunings.