6561/4096

Interval information

Ratio	6561/4096
Factorization	2-12 × 38
Monzo	[-12 8⟩
Size in cents	815.64¢
Name	Pythagorean augmented fifth
FJS name	[math]\displaystyle{ \text{A5} }[/math]
Special properties	reduced, reduced harmonic
Tenney height (log2 nd)	24.6797
Weil height (log2 max(n, d))	25.3594
Wilson height (sopfr(nd))	48
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The Pythagorean augmented fifth, 6564/4096, may be reached by stacking two 81/64 intervals. It differs from 8/5 by the schisma, and, as a result, despite 81/64 being a dissonance, the Pythagorean augmented fifth is in fact rather consonant.

See also

• 8192/6561 – its octave complement
• Gallery of just intervals
• Pythagorean tuning