13/9
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Ratio
13/9
Factorization
3-2 × 13
Monzo
[0 -2 0 0 0 1⟩
Size in cents
636.6177¢
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{nd}[/math])
~4.22711 bits
[sound info]
open this interval in xen-calc
| Interval information |
high tritone
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
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.