13/9

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Interval information

Ratio

13/9

Factorization

3^-2 × 13

[0 -2 0 0 0 1⟩

Size in cents

636.6177¢

Names

tridecimal diminished fifth,
high tritone

3o5, tho 5th

[math]\text{d5}^{13}[/math]

Special properties

Tenney height (log₂ nd)

6.87036

Weil height (log₂ max(n, d))

7.40088

Wilson height (sopfr(nd))

19

Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])

~4.22711 bits

Open this interval in xen-calc

In 13-limit just intonation, 13/9, the tridecimal diminished fifth is a high tritone measuring about 636.6¢. It appears between the 9th and 13th harmonics of the harmonic series. Its inversion is 18/13, a low tritone.

See also

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