256/181

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This page presents a niche topic.

While not arbitrary, it may contain ideas whose practical applications in music are unknown or narrow in scope.

Niche topics are often developed by a single person or a small group. As such, this page may also contain idiosyncratic terms, notation, or conceptual frameworks.

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
Harmonic entropy
(Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])
~4.22648 bits
Open this interval in xen-calc

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 if and only if the edo is an even number.

See also