375/256

Interval information

Ratio	375/256
Factorization	2-8 × 3 × 53
Monzo	[-8 1 3⟩
Size in cents	660.8961 ¢
Names	triptolemaic double augmented fourth, octave reduced 375th harmonic
Color name	Ly34, latriyo 4th
FJS name	[math]\displaystyle{ \text{AA4}^{5,5,5} }[/math]
Special properties	reduced, reduced harmonic
Tenney norm (log2 nd)	16.5507
Weil norm (log2 max(n, d))	17.1015
Wilson norm (sopfr(nd))	34
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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.

Approximation

It is close to 11 steps of 20edo (660 ¢). The comma which is the difference between a stack of 20 375/256s and 11 octaves, produces a 5-limit restriction of the soviet ferris wheel temperament, which divides the octave into 20 parts. Notable equal divisions supporting it and hence repesenting 375/256 consistently as 660 ¢ are 140, 320, 460, and 600.