625/384
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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
open this interval in xen-calc
Interval information |
tetraptolemaic double-augmented fifth
(Shannon, [math]\sqrt{nd}[/math])
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
- 768/625 – its octave complement