112/81
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| Ratio | 112/81 |
| Factorization | 24 × 3-4 × 7 |
| Monzo | [4 -4 0 1⟩ |
| Size in cents | 561.0059¢ |
| Names | septimal diminished fifth, subdiminished fifth, grave narrow tritone, grave Huygens' tritone |
| Color name | z5, zo 5th |
| FJS name | [math]\text{d5}^{7}[/math] |
| Special properties | reduced |
| Tenney height (log2 nd) | 13.1472 |
| Weil height (log2 max(n, d)) | 13.6147 |
| Wilson height (sopfr (nd)) | 27 |
| Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~4.57312 bits |
| open this interval in xen-calc | |
In 7-limit just intonation, 112/81 is the septimal diminished fifth or subdiminished fifth of about 561 ¢. It is a perfect fourth above 28/27, the septimal minor second. It can also be dubbed grave narrow tritone or grave Huygen's tritone, being a syntonic comma flat of 7/5. It is of importance in edf scales as the fifth-reduced 7th harmonic, and is nearly identical to 4\5edf.
See also
- 81/56 – its octave complement