625/512
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Ratio | 625/512 |
Factorization | 2^{-9} × 5^{4} |
Monzo | [-9 0 4⟩ |
Size in cents | 345.25486¢ |
Names | (lesser) pental neutral third, tetraptolemaic double-augmented second |
Color name | laquadyo 2nd, Ly^42 |
FJS name | [math]\text{AA2}^{5,5,5,5}[/math] |
Special properties | reduced, reduced harmonic |
Tenney height (log_{2} nd) | 18.2877 |
Weil height (log_{2} 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 |
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.