256/181 - Revision history

BudjarnLambeth: Mathematical interest

2025-08-10T22:23:30Z

Mathematical interest

← Older revision		Revision as of 22:23, 10 August 2025
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	{{~~Niche~~}}		{{Mathematical interest}}
	{{Infobox interval		{{Infobox interval
	\| Name = octave-reduced 181st subharmonic, utonal quasi-tempered tritone		\| Name = octave-reduced 181st subharmonic, utonal quasi-tempered tritone

Xenllium at 01:44, 29 June 2025

2025-06-29T01:44:52Z

← Older revision		Revision as of 01:44, 29 June 2025
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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 ==

Xenllium at 11:26, 2 June 2025

2025-06-02T11:26:14Z

← Older revision		Revision as of 11:26, 2 June 2025
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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 if and only if the edo is an even number.

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

Xenllium at 03:51, 2 June 2025

2025-06-02T03:51:21Z

← Older revision		Revision as of 03:51, 2 June 2025
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			{{Niche}}
	{{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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	'''256/181''' is the octave-reduced 181st subharmonic. It can be described as a utonal quasi-tempered tritone, measuring 600.185 [[cent]]s.		'''256/181''' is the octave-reduced 181st subharmonic. It can be described as a utonal quasi-tempered tritone, measuring 600.185 [[cent]]s.

			== 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 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 ==		== See also ==

Xenllium: Created page with "{{Infobox interval | Name = octave-reduced 181st subharmonic, utonal quasi-tempered tritone | Color name = 181u5 }} '''256/181''' is the octave-reduced 181st subharmonic. It can be described as a utonal quasi-tempered tritone, measuring 600.185 cents. == See also == * 181/128 – its octave complement Category:Tritone"

2025-06-01T10:14:37Z

Created page with "{{Infobox interval | Name = octave-reduced 181st subharmonic, utonal quasi-tempered tritone | Color name = 181u5 }} '''256/181''' is the octave-reduced 181st subharmonic. It can be described as a utonal quasi-tempered tritone, measuring 600.185 cents. == See also == * 181/128 – its octave complement Category:Tritone"

New page

{{Infobox interval
| Name = octave-reduced 181st subharmonic, utonal quasi-tempered tritone
| Color name = 181u5
}}

'''256/181''' is the octave-reduced 181st subharmonic. It can be described as a utonal quasi-tempered tritone, measuring 600.185 [[cent]]s.

== See also ==
* [[181/128]] – its [[octave complement]]

[[Category:Tritone]]