625/384

Interval information

Ratio

625/384

Factorization

2^-7 × 3^-1 × 5⁴

[-7 -1 4⟩

Size in cents

843.2999¢

Names

(smaller) pental neutral sixth,
tetraptolemaic double-augmented fifth

y⁴5, quadyo 5th

[math]\text{AA5}^{5,5,5,5}[/math]

Special properties

17.8727

Weil height (log₂ max(n, d))

18.5754

37

Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])

~4.24086 bits

625/384, the (smaller) pental neutral sixth or tetraptolemaic double-augmented fifth is a 5-limit interval of about 843.3 cents. It is flat of the Pythagorean double-augmented fifth by four syntonic commas. Equivalently, it is equal to an octave-reduced stack of four classical major thirds minus a fifth, or equal to a classical major third minus a diesis. In the 11-limit it is 6912/6875 flat of 18/11, and 5632/5625 flat of 44/27. In the 13-limit it is 625/624 sharp of 13/8.

See also