6561/4096
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| 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.