81/64

From Xenharmonic Wiki
Revision as of 15:48, 13 July 2021 by Aura (talk | contribs) (Added a bit more info on how this interval contrasts with 5/4)
Jump to navigation Jump to search
Interval information
Ratio 81/64
Factorization 2-6 × 34
Monzo [-6 4
Size in cents 407.82¢
Name Pythagorean major third
Color name Lw3, lawa 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. In contrast to the more typical 5/4- with which it is conflated in meantone- this interval is a bit more dissonant when not bridged by a stack of 3/2 within in a chord, and thus, some would argue that it is either imperfect consonance or an imperfect dissonance depending on the setting.

See also