6561/4096: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Icon =
| Ratio = 6561/4096
| Ratio = 6561/4096
| Monzo = -12 8
| Monzo = -12 8
| Cents = 815.64000
| Cents = 815.64000
| Name = Pythagorean augmented fifth
| Name = Pythagorean augmented fifth
| Color name =  
| Color name = Lw5, lawa 5th
| FJS name =  
| FJS name = A5
| Sound =  
| Sound =  
}}
}}
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[[Category:3-limit]]
[[Category:3-limit]]
[[Category:Interval]]
[[Category:Fifth]]
[[Category:Ratio]]
[[Category:Augmented fifth]]
[[Category:Pythagorean]]

Revision as of 20:00, 1 January 2022

Interval information
Ratio 6561/4096
Factorization 2-12 × 38
Monzo [-12 8
Size in cents 815.64¢
Name Pythagorean augmented fifth
Color name Lw5, lawa 5th
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