177147/131072: Difference between revisions

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| Color name = lalawa 3rd, LLw3
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'''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.  
'''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 ==
== See also ==
* [[262144/177147]] – its [[octave complement]]
* [[262144/177147]] – its [[octave complement]]
* [[Gallery of just intervals]]
* [[65536/59049]] – its [[fifth complement]]


[[Category:Third]]
[[Category:Third]]
[[Category:Augmented third]]
[[Category:Augmented third]]

Latest revision as of 09:14, 19 January 2026

Interval information
Ratio 177147/131072
Factorization 2-17 × 311
Monzo [-17 11
Size in cents 521.505¢
Name Pythagorean augmented third
Color name lalawa 3rd, LLw3
FJS name [math]\displaystyle{ \text{A3} }[/math]
Special properties reduced,
reduced harmonic
Tenney norm (log2 nd) 34.4346
Weil norm (log2 max(n, d)) 34.8692
Wilson norm (sopfr(nd)) 67
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