625/512
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Ratio
625/512
Factorization
2-9 × 54
Monzo
[-9 0 4⟩
Size in cents
345.2549¢
Names
(lesser) pental neutral third,
tetraptolemaic double-augmented second
Color name
laquadyo 2nd, Ly42
FJS name
[math]\text{AA2}^{5,5,5,5}[/math]
Special properties
reduced,
reduced harmonic
Tenney height (log2 nd)
18.2877
Weil height (log2 max(n, d))
18.5754
Wilson height (sopfr(nd))
38
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.25219 bits
[sound info]
open this interval in xen-calc
| Interval information |
tetraptolemaic double-augmented second
reduced harmonic
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
625/512, the (lesser) pental neutral third or tetraptolemaic double-augmented second is a 5-limit interval of about 345.3 cents. It is flat of the Pythagorean double-augmented second by four syntonic commas. Equivalently, it is equal to an octave-reduced stack of four classical major thirds, or a classical major third minus a diesis. In the 11-limit it is 5632/5625 flat of 11/9; in the 13-limit it is 625/624 sharp of 39/32.