13/9

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Interval information
Ratio 13/9
Factorization 3-2 × 13
Monzo [0 -2 0 0 0 1
Size in cents 636.61766¢
Names tridecimal diminished fifth,
high tritone
Color name 3o5, tho 5th
FJS name [math]\text{d5}^{13}[/math]
Special properties reduced
Tenney height (log2 nd) 6.87036
Weil height (log2 max(n, d)) 7.40088
Wilson height (sopfr (nd)) 19
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~4.58925 bits

[sound info]
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