13/9
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| 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{nd}[/math]) |
~4.22711 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.