6561/4096: Difference between revisions

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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.
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 ==
== See also ==

Revision as of 14:52, 15 November 2021

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
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