81/64: Difference between revisions

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]]{{mdash}}with which it is conflated in [[meantone]]{{mdash}}this interval is a bit more dissonant when not bridged by a stack of 3/2 intervals within in a chord, with a [[harmonic entropy]] level somewhere between that of [[9/8]] and that of [[8/7]]. Thus, some would argue that it is functionally an imperfect dissonance.

* [[128/81]] – Its [[octave complement]]

* [[32/27]] – Its [[fifth complement]]