375/256

From Xenharmonic Wiki
Jump to navigation Jump to search
Interval information
Ratio 375/256
Factorization 2-8 × 3 × 53
Monzo [-8 1 3
Size in cents 660.89614¢
Names triptolemaic double augmented fourth,
octave reduced 375th harmonic
Color name Ly34, latriyo 4th
FJS name [math]\text{AA4}^{5,5,5}[/math]
Special properties reduced,
reduced harmonic
Tenney height (log2 nd) 16.5507
Weil height (log2 max(n, d)) 17.1015
Wilson height (sopfr(nd)) 34
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.29894 bits
open this interval in xen-calc

375/256, the triptolemaic double augmented fourth, which is also the octave reduced 375th harmonic, is a 5-limit interval produced by stacking three 5/4's and one 3/2.

It is close to 11 steps of 20edo, and is tempered as such in the soviet ferris wheel temperament.