9/4

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Interval information
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{n\cdot d}[/math])
~4.52203 bits

[sound info]
open this interval in xen-calc

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.