625/512

Interval information

Ratio	625/512
Factorization	2-9 × 54
Monzo	[-9 0 4⟩
Size in cents	345.2549¢
Names	(lesser) pental neutral third, tetraptolemaic double-augmented second
Color name	laquadyo 2nd, Ly42
FJS name	[math]\displaystyle{ \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]\displaystyle{ \sqrt{nd} }[/math])	~4.25219 bits
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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.

See also

• 768/625 – its fifth complement
• 24edo
• Iceface tuning