81/64: Difference between revisions

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introduced infobox interval; simplified links; added cats
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See also: +5th complement
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== See also ==
== See also ==
* [[128/81]] - its [[inversion]]
* [[128/81]] - its [[inversion]]
* [[32/27]] - its [[fifth complement]]
* [[Pythagorean tuning]]
* [[Pythagorean tuning]]
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]

Revision as of 06:50, 14 September 2020

Interval information
Ratio 81/64
Factorization 2-6 × 34
Monzo [-6 4
Size in cents 407.82¢
Name Pythagorean major third
Color name Lw3, large wa 3rd
FJS name [math]\displaystyle{ \text{M3} }[/math]
Special properties reduced,
reduced harmonic
Tenney norm (log2 nd) 12.3399
Weil norm (log2 max(n, d)) 12.6797
Wilson norm (sopfr(nd)) 24

[sound info]
Open this interval in xen-calc

The Pythagorean major third, 81/64, may be reached by stacking four perfect fifths (3/2), and reducing by two octaves.

See also