112/81

Interval information

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]\displaystyle{ \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]\displaystyle{ \sqrt{nd} }[/math])	~4.24168 bits
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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