9/4: Difference between revisions

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'''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]].
'''9/4''', the ''pythagorean ninth,'' is an interval which is equal to a stack of two perfect fifths [[3/2|(3/2]] * 3/2); the ratio between the 4th and 9th harmonics; one octave above [[9/8]]. See also [[ed9/4]].

Revision as of 17:02, 30 July 2026

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]\displaystyle{ \text{M9} }[/math]
Tenney norm (log2 nd) 5.16993
Weil norm (log2 max(n, d)) 6.33985
Wilson norm (sopfr(nd)) 10

[sound info]
Open this interval in xen-calc

9/4, the pythagorean ninth, is an interval which is equal to a stack of two perfect fifths (3/2 * 3/2); the ratio between the 4th and 9th harmonics; one octave above 9/8. See also ed9/4.

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