768/625
Jump to navigation
Jump to search
Ratio
768/625
Factorization
28 × 3 × 5-4
Monzo
[8 1 -4⟩
Size in cents
356.7001¢
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
Interval information |
tetraptolemaic double-diminished fourth
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
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
- 625/384 – its octave complement
- 625/512 – its fifth complement
- 24edo
- Iceface tuning