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. According to [[User:VectorGraphics|Vector]], however, 8192/6561's extreme proximity to the classic major third means it can be considered a major third.
+The '''Pythagorean diminished fourth''', '''8192/6561''', may be reached by subtracting two [[81/64]] intervals from the [[Octave|perfect octave]].  It is flat of 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 and some may consider it a major third (see [[Interval region]]).
 == See also ==
 * [[6561/4096]] – its [[octave complement]]
+* [[19683/16384]] – its [[fifth complement]]
 * [[Gallery of just intervals]]
 * [[Pythagorean tuning]]