32768/19683

Interval information

Ratio

32768/19683

Factorization

2¹⁵ × 3^-9

Monzo

[15 -9⟩

Size in cents

882.405¢

Name

Pythagorean diminished seventh

Color name

sw2, sawa 7th

FJS name

[math]\displaystyle{ \text{d7} }[/math]

Special properties

reduced,
reduced subharmonic

Tenney height (log₂ nd)

29.2647

Weil height (log₂ max(n, d))

30

Wilson height (sopfr(nd))

57

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The Pythagorean diminished seventh, 32768/19683, may be reached by stacking 9 4/3's and octave reducing. It differs from the classic major sixth, 5/3, by the schisma, and, as a result, the Pythagorean diminished seventh is useful in creating rather consonant diminished seventh chords.

32768/19683

See also