768/625

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Interval information

Ratio

768/625

Factorization

2⁸ × 3 × 5^-4

[8 1 -4⟩

Size in cents

356.7001¢

Names

(greater) pental neutral third,
tetraptolemaic double-diminished fourth

quadgu 4th, g^44

[math]\text{dd4}_{5,5,5,5}[/math]

Special properties

Tenney height (log₂ nd)

18.8727

Weil height (log₂ max(n, d))

19.1699

Wilson height (sopfr(nd))

39

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

~4.26055 bits

open this interval in xen-calc

768/625, the (greater) pental neutral third or tetraptolemaic double-diminished fourth is a 5-limit interval of about 356.7 cents. It is sharp of the Pythagorean double-diminished fourth by four syntonic commas. Equivalently, it is equal to a fifth minus an octave-reduced stack of four classical major thirds, or equal to a classical minor third plus a diesis. In the 11-limit it is 6912/6875 sharp of 11/9, and 5632/5625 sharp of 27/22. In the 13-limit it is 625/624 flat of 16/13.

See also

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