256/181: Difference between revisions
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{{ | {{Mathematical interest}} | ||
{{Infobox interval | {{Infobox interval | ||
| Name = octave-reduced 181st subharmonic, utonal quasi-tempered tritone | | Name = octave-reduced 181st subharmonic, utonal quasi-tempered tritone | ||
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== Approximation == | == Approximation == | ||
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). | 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 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 == | ||
Latest revision as of 22:23, 10 August 2025
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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 |
utonal quasi-tempered tritone
reduced subharmonic
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