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.

See also

• 19683/16384 – its octave complement
• Gallery of just intervals
• Pythagorean tuning