8192/6561: Difference between revisions

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The '''Pythagorean diminished fourth''', '''8192/6561''', may be reached by subtracting two [[81/64]] intervals from the [[Octave|perfect octave]].  It differs from the classic major third, [[5/4]], by the [[schisma]] (around 2 cents), and, as a result, the Pythagorean diminished fourth is in fact rather consonant.  According to [[User:Aura|Aura]], while 8192/6561 may take the place of the classic major third in chords, its status as a diminished fourth means that it has a different function in terms of voice-leading.   
The '''Pythagorean diminished fourth''', '''8192/6561''', may be reached by subtracting two [[81/64]] intervals from the [[Octave|perfect octave]].  It differs from the classic major third, [[5/4]], by the [[schisma]] (around 2 cents), and, as a result, the Pythagorean diminished fourth is in fact rather consonant.  According to [[User:Aura|Aura]], while 8192/6561 may take the place of the classic major third in chords, its status as a diminished fourth means that it has a different function in terms of voice-leading.   


Due to 8192/6561's extreme proximity to the 5/4, some may consider it a major third (see [[Extended-diatonic interval names]]).  
Due to 8192/6561's extreme proximity to 5/4, some may consider it a major third (see [[Extended-diatonic interval names]]).  


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