181/128

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Interval information

Ratio	181/128
Subgroup monzo	2.181 [-7 1⟩
Size in cents	599.8151¢
Names	octave-reduced 181st harmonic, otonal quasi-tempered tritone
Color name	181o4
FJS name	[math]\displaystyle{ \text{A4}^{181} }[/math]
Special properties	reduced, reduced harmonic
Tenney height (log2 nd)	14.4998
Weil height (log2 max(n, d))	14.9997
Wilson height (sopfr(nd))	195
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.22521 bits
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181/128 is the octave-reduced 181st harmonic. It can be described as an otonal quasi-tempered tritone, measuring 599.815 cents.

Approximation

181/128 is a fraction of a cent flat of a semioctave in even equal temperaments (1\2). It is very close to 1622\3245, differing by only 3.565 × 10^-5 cents.

181/128 differs from its octave complement, 256/181 by 32768/32761, measuring ~0.37¢. For edos up to 3244, both 181/128 and 256/181 are equated if and only if the edo is an even number.

See also

• 256/181 – its octave complement