177147/131072
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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]\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]\sqrt{nd}[/math])
~4.25989 bits
open this interval in xen-calc
| Interval information |
reduced harmonic
(Shannon, [math]\sqrt{nd}[/math])
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.