81/64: Difference between revisions

Aura (talk | contribs)
Added a bit more info on how this interval contrasts with 5/4
Aura (talk | contribs)
No edit summary
Line 10: Line 10:
}}
}}


The '''Pythagorean major third''', '''81/64''', may be reached by stacking four perfect fifths ([[3/2]]), and reducing by two [[octave]]s.  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.
The '''Pythagorean major third''', '''81/64''', may be reached by stacking four perfect fifths ([[3/2]]), and reducing by two [[octave]]s.  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, with a [[harmonic entropy]] level somewhere between that of [[9/8]] and [[8/7]].  Thus, some would argue that it is functionally an imperfect dissonance.


== See also ==
== See also ==