32768/19683
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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]\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
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~3.91247 bits
open this interval in xen-calc
| Interval information |
reduced subharmonic
(Shannon, [math]\sqrt{nd}[/math])
The Pythagorean diminished seventh, 32768/19683, may be reached by stacking nine 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.