Diarithmedia - Revision history

BudjarnLambeth at 02:51, 16 November 2024

2024-11-16T02:51:04Z

← Older revision		Revision as of 02:51, 16 November 2024
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	* [[161/144]]		* [[161/144]]
	* [[Meantone]]		* [[Meantone]]

			[[Category:Commas named for the intervals they stack]]

Francium: +color name

2024-11-13T06:45:13Z

+color name

← Older revision		Revision as of 06:45, 13 November 2024
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	\| Ratio = 25921/25920		\| Ratio = 25921/25920
	\| Name = diarithmedia		\| Name = diarithmedia
			\| Color name = 23oozzg3 <br> bitwethozo-agu 3rd
	\| Comma = yes		\| Comma = yes
	}}		}}

Lériendil at 21:37, 9 November 2024

2024-11-09T21:37:17Z

← Older revision		Revision as of 21:37, 9 November 2024
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	\| Comma = yes		\| Comma = yes
	}}		}}
	'''25921/25920''', the '''diarithmedia''', is a [[23-limit]] and 2.3.5.7.23-[[subgroup]] [[square superparticular]] comma of about 0.067 [[cent]]s. It is the difference between [[161/160]] and [[162/161]], and between [[49/45]] and [[24/23]]<sup>2</sup>, and therefore tempering this comma out splits the syntonic comma, [[81/80]] into exact halves alongside 49/45. As a further consequence, it equates [[161/144]], the "arithmetic meantone" (being the arithmetic mean of [[9/8]] and [[10/9]]) with [[180/161]] and splits [[5/4]] in half, providing a way to use hemithirds without equating 9/8 and 10/9 together.		'''25921/25920''', the '''diarithmedia''', is a [[23-limit]] and 2.3.5.7.23-[[subgroup]] [[square superparticular]] comma of about 0.067 [[cent]]s. It is the difference between [[161/160]] and [[162/161]], and between [[49/45]] and ([[24/23]])<sup>2</sup>, and therefore tempering this comma out splits the syntonic comma, [[81/80]] into exact halves alongside 49/45. As a further consequence, it equates [[161/144]], the "arithmetic meantone" (being the arithmetic mean of [[9/8]] and [[10/9]]) with [[180/161]] and splits [[5/4]] in half, providing a way to use hemithirds without equating 9/8 and 10/9 together.

	== Etymology ==		== Etymology ==

BudjarnLambeth: BudjarnLambeth moved page 25921/25920 to Diarithmedia: Big number

2024-10-13T00:53:07Z

BudjarnLambeth moved page 25921/25920 to Diarithmedia: Big number

← Older revision	Revision as of 00:53, 13 October 2024
(No difference)

Lériendil: Undo revision 155727 by Lériendil (talk)

2024-09-20T21:58:24Z

Undo revision 155727 by Lériendil (talk)

← Older revision		Revision as of 21:58, 20 September 2024
Line 4:		Line 4:
	\| Comma = yes		\| Comma = yes
	}}		}}
	'''25921/25920''', the '''diarithmedia''', is a [[23-limit]] and 2.3.5.7.23-[[subgroup]] [[square superparticular]] ~~square-particular ratio~~ of about 0.067 [[cent]]s. It is the difference between [[161/160]] and [[162/161]], and between [[49/45]] and [[24/23]]<sup>2</sup>, and therefore tempering this comma out splits the syntonic comma, [[81/80]] into exact halves alongside 49/45. As a further consequence, it equates [[161/144]], the "arithmetic meantone" (being the arithmetic mean of [[9/8]] and [[10/9]]) with [[180/161]] and splits [[5/4]] in half, providing a way to use hemithirds without equating 9/8 and 10/9 together.		'''25921/25920''', the '''diarithmedia''', is a [[23-limit]] and 2.3.5.7.23-[[subgroup]] [[square superparticular]] comma of about 0.067 [[cent]]s. It is the difference between [[161/160]] and [[162/161]], and between [[49/45]] and [[24/23]]<sup>2</sup>, and therefore tempering this comma out splits the syntonic comma, [[81/80]] into exact halves alongside 49/45. As a further consequence, it equates [[161/144]], the "arithmetic meantone" (being the arithmetic mean of [[9/8]] and [[10/9]]) with [[180/161]] and splits [[5/4]] in half, providing a way to use hemithirds without equating 9/8 and 10/9 together.

	== Etymology ==		== Etymology ==

Lériendil at 21:58, 20 September 2024

2024-09-20T21:58:14Z

← Older revision		Revision as of 21:58, 20 September 2024
Line 4:		Line 4:
	\| Comma = yes		\| Comma = yes
	}}		}}
	'''25921/25920''', the '''diarithmedia''', is a [[23-limit]] and 2.3.5.7.23-[[subgroup]] [[square superparticular]] ~~comma~~ of about 0.067 [[cent]]s. It is the difference between [[161/160]] and [[162/161]], and between [[49/45]] and [[24/23]]<sup>2</sup>, and therefore tempering this comma out splits the syntonic comma, [[81/80]] into exact halves alongside 49/45. As a further consequence, it equates [[161/144]], the "arithmetic meantone" (being the arithmetic mean of [[9/8]] and [[10/9]]) with [[180/161]] and splits [[5/4]] in half, providing a way to use hemithirds without equating 9/8 and 10/9 together.		'''25921/25920''', the '''diarithmedia''', is a [[23-limit]] and 2.3.5.7.23-[[subgroup]] [[square superparticular]] square-particular ratio of about 0.067 [[cent]]s. It is the difference between [[161/160]] and [[162/161]], and between [[49/45]] and [[24/23]]<sup>2</sup>, and therefore tempering this comma out splits the syntonic comma, [[81/80]] into exact halves alongside 49/45. As a further consequence, it equates [[161/144]], the "arithmetic meantone" (being the arithmetic mean of [[9/8]] and [[10/9]]) with [[180/161]] and splits [[5/4]] in half, providing a way to use hemithirds without equating 9/8 and 10/9 together.

	== Etymology ==		== Etymology ==

Lériendil at 21:58, 20 September 2024

2024-09-20T21:58:07Z

← Older revision		Revision as of 21:58, 20 September 2024
Line 4:		Line 4:
	\| Comma = yes		\| Comma = yes
	}}		}}
	'''25921/25920''', the '''diarithmedia''', is a [[23-limit]] and 2.3.5.7.23-[[subgroup]] [[square superparticular]] ~~square-particular ratio~~ of about 0.067 [[cent]]s. It is the difference between [[161/160]] and [[162/161]], and between [[49/45]] and [[24/23]]<sup>2</sup>, and therefore tempering this comma out splits the syntonic comma, [[81/80]] into exact halves alongside 49/45. As a further consequence, it equates [[161/144]], the "arithmetic meantone" (being the arithmetic mean of [[9/8]] and [[10/9]]) with [[180/161]] and splits [[5/4]] in half, providing a way to use hemithirds without equating 9/8 and 10/9 together.		'''25921/25920''', the '''diarithmedia''', is a [[23-limit]] and 2.3.5.7.23-[[subgroup]] [[square superparticular]] comma of about 0.067 [[cent]]s. It is the difference between [[161/160]] and [[162/161]], and between [[49/45]] and [[24/23]]<sup>2</sup>, and therefore tempering this comma out splits the syntonic comma, [[81/80]] into exact halves alongside 49/45. As a further consequence, it equates [[161/144]], the "arithmetic meantone" (being the arithmetic mean of [[9/8]] and [[10/9]]) with [[180/161]] and splits [[5/4]] in half, providing a way to use hemithirds without equating 9/8 and 10/9 together.

	== Etymology ==		== Etymology ==

Lériendil at 21:57, 20 September 2024

2024-09-20T21:57:28Z

← Older revision		Revision as of 21:57, 20 September 2024
Line 4:		Line 4:
	\| Comma = yes		\| Comma = yes
	}}		}}
	'''25921/25920''', the '''diarithmedia''' is a [[23-limit]] and 2.3.5.7.23-[[subgroup]] [[square superparticular]] square-particular ratio of about 0.067 [[cent]]s. It is the difference between [[161/160]] and [[162/161]], and between [[49/45]] and [[24/23]]<sup>2</sup>, and therefore tempering this comma out splits the syntonic comma, [[81/80]] into exact halves alongside 49/45. As a further consequence, it equates [[161/144]], the "arithmetic meantone" (being the arithmetic mean of [[9/8]] and [[10/9]]) with [[180/161]] and splits [[5/4]] in half, providing a way to use hemithirds without equating 9/8 and 10/9 together.		'''25921/25920''', the '''diarithmedia''', is a [[23-limit]] and 2.3.5.7.23-[[subgroup]] [[square superparticular]] square-particular ratio of about 0.067 [[cent]]s. It is the difference between [[161/160]] and [[162/161]], and between [[49/45]] and [[24/23]]<sup>2</sup>, and therefore tempering this comma out splits the syntonic comma, [[81/80]] into exact halves alongside 49/45. As a further consequence, it equates [[161/144]], the "arithmetic meantone" (being the arithmetic mean of [[9/8]] and [[10/9]]) with [[180/161]] and splits [[5/4]] in half, providing a way to use hemithirds without equating 9/8 and 10/9 together.

	== Etymology ==		== Etymology ==

Lériendil at 21:57, 20 September 2024

2024-09-20T21:57:12Z

← Older revision		Revision as of 21:57, 20 September 2024
Line 4:		Line 4:
	\| Comma = yes		\| Comma = yes
	}}		}}
	'''25921/25920''', the '''diarithmedia''' is a [[23-limit]] and 2.3.5.7.23-[[subgroup]] [[square superparticular]] square-particular ratio of about N [[cent]]s. It is the difference between [[161/160]] and [[162/161]], and between [[49/45]] and [[24/23]]<sup>2</sup>, and therefore tempering this comma out splits the syntonic comma, [[81/80]] into exact halves alongside 49/45. As a further consequence, it equates [[161/144]], the "arithmetic meantone" (being the arithmetic mean of [[9/8]] and [[10/9]]) with [[180/161]] and splits [[5/4]] in half, providing a way to use hemithirds without equating 9/8 and 10/9 together.		'''25921/25920''', the '''diarithmedia''' is a [[23-limit]] and 2.3.5.7.23-[[subgroup]] [[square superparticular]] square-particular ratio of about 0.067 [[cent]]s. It is the difference between [[161/160]] and [[162/161]], and between [[49/45]] and [[24/23]]<sup>2</sup>, and therefore tempering this comma out splits the syntonic comma, [[81/80]] into exact halves alongside 49/45. As a further consequence, it equates [[161/144]], the "arithmetic meantone" (being the arithmetic mean of [[9/8]] and [[10/9]]) with [[180/161]] and splits [[5/4]] in half, providing a way to use hemithirds without equating 9/8 and 10/9 together.

	== Etymology ==		== Etymology ==

Lériendil: Created page with "{{Infobox Interval | Ratio = 25921/25920 | Name = diarithmedia | Comma = yes }} '''25921/25920''', the '''diarithmedia''' is a 23-limit and 2.3.5.7.23-subgroup squar..."

2024-09-20T21:56:59Z

Created page with "{{Infobox Interval | Ratio = 25921/25920 | Name = diarithmedia | Comma = yes }} '''25921/25920''', the '''diarithmedia''' is a 23-limit and 2.3.5.7.23-subgroup squar..."

New page

{{Infobox Interval
| Ratio = 25921/25920
| Name = diarithmedia
| Comma = yes
}}
'''25921/25920''', the '''diarithmedia''' is a [[23-limit]] and 2.3.5.7.23-[[subgroup]] [[square superparticular]] square-particular ratio of about N [[cent]]s. It is the difference between [[161/160]] and [[162/161]], and between [[49/45]] and [[24/23]]<sup>2</sup>, and therefore tempering this comma out splits the syntonic comma, [[81/80]] into exact halves alongside 49/45. As a further consequence, it equates [[161/144]], the "arithmetic meantone" (being the arithmetic mean of [[9/8]] and [[10/9]]) with [[180/161]] and splits [[5/4]] in half, providing a way to use hemithirds without equating 9/8 and 10/9 together.

== Etymology ==
The name '''diarithmetic media''' was proposed by [[User:FloraC|Flora Canou]] in 2023, for being the separatrix between an arithmetic-mean interval and an inverse-arithmetic-mean interval. It was shortened to '''diarithmedia''' by [[User:Lériendil|Lériendil]] in 2024.

== See also ==
* [[Unnoticeable comma]]
* [[List of superparticular intervals]]
* [[161/144]]
* [[Meantone]]