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Interval information
Ratio 768/625
Factorization 28 × 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 (log2 nd) 18.8727
Weil height (log2 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.

See also