625/512
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| Ratio | 625/512 |
| Factorization | 2-9 × 54 |
| Monzo | [-9 0 4⟩ |
| Size in cents | 345.25486¢ |
| 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 | |
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.