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{nd}[/math])
~4.24168 bits
open this interval in xen-calc
| Interval information |
subdiminished fifth,
grave narrow tritone,
grave Huygens' tritone
(Shannon, [math]\sqrt{nd}[/math])
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