6561/4096
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Ratio | 6561/4096 |
Factorization | 2^{-12} × 3^{8} |
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 (log_{2} nd) | 24.6797 |
Weil height (log_{2} 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.