375/256
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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]\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
| Interval information |
octave reduced 375th harmonic
reduced harmonic
(Shannon, [math]\sqrt{nd}[/math])
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.