81/64: Difference between revisions

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{{Wikipedia|Ditone}}
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 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.
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 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.