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 | 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 == | ||
Revision as of 21:03, 19 December 2023
| Interval information |
reduced subharmonic
The Pythagorean diminished fourth, 8192/6561, may be reached by subtracting two 81/64 intervals from the 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 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 5/4, some may consider it a major third (see Extended-diatonic interval names).