181/128: Difference between revisions

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Created page with "{{Infobox interval | Name = octave-reduced 181st harmonic, otonal quasi-tempered tritone | Color name = 181o4 }} '''181/128''' is the octave-reduced 181st harmonic. It can be described as an otonal quasi-tempered tritone, measuring 599.815 cents. == See also == * 256/181 – its octave complement Category:Tritone"
 
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{{Infobox interval
{{Infobox interval
| Name = octave-reduced 181st harmonic, otonal quasi-tempered tritone
| Name = octave-reduced 181st harmonic, otonal quasi-tempered tritone
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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 [[cent]]s.
'''181/128''' is the octave-reduced 181st harmonic. It can be described as an otonal quasi-tempered tritone, measuring 599.815 [[cent]]s.
== 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 differs from its octave complement, [[256/181]] by [[32768/32761]], measuring ~0.37¢. For edos up to 3244, it is tempered out if and only if the edo is an even number.


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

Revision as of 03:46, 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).

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

See also