177147/131072

Interval information

Ratio	177147/131072
Factorization	2-17 × 311
Monzo	[-17 11⟩
Size in cents	521.505¢
Name	Pythagorean augmented third
Color name	sasawa 3rd, ssw3
FJS name	[math]\displaystyle{ \text{A3} }[/math]
Special properties	reduced, reduced harmonic
Tenney height (log2 nd)	34.4346
Weil height (log2 max(n, d))	34.8692
Wilson height (sopfr(nd))	67
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.25989 bits
Open this interval in xen-calc

177147/131072, the Pythagorean augmented third, is a 3-limit interval. It is also called a wolf fourth due to appearing in the circle of fifths in Pythagorean 12-note tuning. It is separated from the classical wolf fourth 27/20 by a schisma. 11edo treats this interval as a comma despite its size.

See also

• 262144/177147 – its octave complement
• Gallery of just intervals