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Interval information
Ratio 6561/4096
Factorization 2-12 × 38
Monzo [-12 8
Size in cents 815.64001¢
Name Pythagorean augmented fifth
Color name Lw5, lawa 5th
FJS name [math]\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
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~4.54205 bits
open this interval in xen-calc

The Pythagorean augmented fifth, 6561/4096, 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