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Interval information
Ratio 8192/6561
Monzo [13 -8
Size in cents 384.35999
Name(s) Pythagorean diminished fourth
Color name sw4, sawa 4th
FJS name d4
open this interval in xen-calc

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, 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.

See also