6561/5120

Interval information

Ratio	6561/5120
Factorization	2-10 × 38 × 5-1
Monzo	[-10 8 -1⟩
Size in cents	429.3263¢
Name	retroptolemaic major third
Color name	lagu 3rd, Lg3
FJS name	[math]\displaystyle{ \text{M3}_{5} }[/math]
Special properties	reduced
Tenney height (log2 nd)	25.0016
Weil height (log2 max(n, d))	25.3594
Wilson height (sopfr(nd))	49
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.20706 bits
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6561/5120, the retroptolemaic major third, is a 5-limit interval measuring about 429.32 ¢. It is equal to the Pythagorean major third of 81/64 raised by a syntonic comma (81/80), compared to the just major third 5/4 which is the Pythagorean interval lowered by the syntonic comma. It differs from 41/32, the 41st harmonic, by the unnoticeable comma 6561/6560.