9/4
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Ratio
9/4
Factorization
2-2 × 32
Monzo
[-2 2⟩
Size in cents
1403.91¢
Name
Pythagorean ninth
Color name
w9, wa 9th
FJS name
[math]\text{M9}[/math]
Tenney height (log2 nd)
5.16993
Weil height (log2 max(n, d))
6.33985
Wilson height (sopfr(nd))
10
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.12266 bits
[sound info]
Open this interval in xen-calc
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(Shannon, [math]\sqrt{nd}[/math])
[sound info]
9/4, the Pythagorean ninth; two perfect fifths (3/2 * 3/2); the ratio between the 4th and 9th harmonics; one octave above 9/8. See also ed9/4.