181/128: Difference between revisions

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== Approximation ==
== Approximation ==
181/128 is a fraction of a cent flat of a [[semioctave]] in even equal temperaments (1<span style="font-family: 'Arial', sans-serif;">\</span>2).
181/128 is a fraction of a cent flat of a [[semioctave]] in even equal temperaments (1<span style="font-family: 'Arial', sans-serif;">\</span>2). It is very close to 1622<span style="font-family: 'Arial', sans-serif;">\</span>3245, differing by only 3.565 × 10<sup>-5</sup> 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.
181/128 differs from its octave complement, [[256/181]] 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.


== See also ==
== See also ==

Revision as of 11:24, 2 June 2025

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
Open this interval in xen-calc

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