256/181: Difference between revisions

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256/181 is a fraction of a cent sharp of a [[semioctave]] in even equal temperaments (1<span style="font-family: 'Arial', sans-serif;">\</span>2). It is very close to 1623<span style="font-family: 'Arial', sans-serif;">\</span>3245, differing by only 3.565 × 10<sup>-5</sup> cents.
256/181 is a fraction of a cent sharp of a [[semioctave]] in even equal temperaments (1<span style="font-family: 'Arial', sans-serif;">\</span>2). It is very close to 1623<span style="font-family: 'Arial', sans-serif;">\</span>3245, differing by only 3.565 × 10<sup>-5</sup> cents.


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

Revision as of 01:44, 29 June 2025

Template:Niche is deprecated. Please use Template:Mathematical interest instead.
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 norm (log2 nd) 15.4998
Weil norm (log2 max(n, d)) 16
Wilson norm (sopfr(nd)) 197
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 in the patent val mapping if and only if the edo is an even number.

See also