256/181

This page presents a topic of primarily mathematical interest. While it is derived from sound mathematical principles, its applications in terms of utility for actual music may be limited, highly contrived, or as yet unknown.

Interval information

Ratio	256/181
Subgroup monzo	2.181 [8 -1⟩
Size in cents	600.1849¢
Names	octave-reduced 181st subharmonic, utonal quasi-tempered tritone
Color name	181u5
FJS name	[math]\displaystyle{ \text{d5}_{181} }[/math]
Special properties	reduced, reduced subharmonic
Tenney height (log2 nd)	15.4998
Weil height (log2 max(n, d))	16
Wilson height (sopfr(nd))	197
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256/181 is the octave-reduced 181st subharmonic. It can be described as a utonal quasi-tempered tritone, measuring 600.185 cents.

Approximation

256/181 is a fraction of a cent sharp of a semioctave in even equal temperaments (1\2). It is very close to 1623\3245, differing by only 3.565 × 10^-5 cents.

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

See also

• 181/128 – its octave complement