625/384

Interval information
Ratio	625/384
Factorization	2^-7 × 3^-1 × 5⁴
Monzo	[-7 -1 4⟩
Size in cents	843.29985¢
Names	(smaller) pental neutral sixth, tetraptolemaic double-augmented fifth
Color name	y⁴5, quadyo 5th
FJS name	[math]\text{AA5}^{5,5,5,5}[/math]
Special properties	reduced
Tenney height (log₂ nd)	17.8727
Weil height (log₂ max(n, d))	18.5754
Wilson height (sopfr(nd))	37
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math])	~4.24086 bits
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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