768/625
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Ratio | 768/625 |
Factorization | 2^{8} × 3 × 5^{-4} |
Monzo | [8 1 -4⟩ |
Size in cents | 356.70015¢ |
Names | (greater) pental neutral third, tetraptolemaic double-diminished fourth |
Color name | quadgu 4th, g^44 |
FJS name | [math]\text{dd4}_{5,5,5,5}[/math] |
Special properties | reduced |
Tenney height (log_{2} nd) | 18.8727 |
Weil height (log_{2} max(n, d)) | 19.1699 |
Wilson height (sopfr (nd)) | 39 |
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~4.26055 bits |
[sound info] | |
open this interval in xen-calc |
768/625, the (greater) pental neutral third or tetraptolemaic double-diminished fourth is a 5-limit interval of about 356.7 cents. It is sharp of the Pythagorean double-diminished fourth by four syntonic commas. Equivalently, it is equal to a fifth minus an octave-reduced stack of four classical major thirds, or equal to a classical minor third plus a diesis. In the 11-limit it is 6912/6875 sharp of 11/9, and 5632/5625 sharp of 27/22. In the 13-limit it is 625/624 flat of 16/13.