181/128 - Revision history

Lucius Chiaraviglio: Demo video: Add full version

2026-05-19T19:58:20Z

Demo video: Add full version

← Older revision		Revision as of 19:58, 19 May 2026
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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). 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. It can be used for adjustment of octave compression of even numbered [[edo]]s — for instance, 6ed181/128 as [[12edo]] with a slightly compressed octave, as demonstrated in [[Bryan Deister]]'s [https://www.youtube.com/shorts/J3c67AMwylw ''6ed(181/128) improv''] (2026).		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. It can be used for adjustment of octave compression of even numbered [[edo]]s — for instance, 6ed181/128 as [[12edo]] with a slightly compressed octave, as demonstrated in [[Bryan Deister]]'s [https://www.youtube.com/shorts/J3c67AMwylw ''6ed(181/128) improv''] (excerpt with Lumatone view) and [https://www.youtube.com/watch?v=0-db7dnoiyU ''short song''] (full version) (both from 2026).

	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 in the [[patent val]] mapping 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 in the [[patent val]] mapping if and only if the edo is an even number.

Lucius Chiaraviglio: /* Approximation */ Add musical use, with demo video

2026-04-04T06:39:31Z

Approximation: Add musical use, with demo video

← Older revision		Revision as of 06:39, 4 April 2026
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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). 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 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. It can be used for adjustment of octave compression of even numbered [[edo]]s — for instance, 6ed181/128 as [[12edo]] with a slightly compressed octave, as demonstrated in [[Bryan Deister]]'s [https://www.youtube.com/shorts/J3c67AMwylw ''6ed(181/128) improv''] (2026).

	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 in the [[patent val]] mapping 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 in the [[patent val]] mapping if and only if the edo is an even number.

BudjarnLambeth: Mathematical interest

2025-08-10T22:22:03Z

Mathematical interest

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

Xenllium at 01:42, 29 June 2025

2025-06-29T01:42:55Z

← Older revision		Revision as of 01:42, 29 June 2025
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	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 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 [[3244edo\|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 in the [[patent val]] mapping if and only if the edo is an even number.

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

Xenllium at 11:24, 2 June 2025

2025-06-02T11:24:56Z

← Older revision		Revision as of 11:24, 2 June 2025
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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 ==

Xenllium: Fixed typo (undo revision 198454)

2025-06-02T03:53:00Z

Fixed typo (undo revision 198454)

← Older revision		Revision as of 03:53, 2 June 2025
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	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).

	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.		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 ==		== See also ==

Xenllium at 03:46, 2 June 2025

2025-06-02T03:46:57Z

← Older revision		Revision as of 03:46, 2 June 2025
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			{{Niche}}
	{{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 ==

Xenllium: 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"

2025-06-01T10:13:05Z

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"

New page

{{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 [[cent]]s.

== See also ==
* [[256/181]] – its [[octave complement]]

[[Category:Tritone]]