283edo - Revision history

ArrowHead294 at 14:28, 20 February 2025

2025-02-20T14:28:44Z

← Older revision		Revision as of 14:28, 20 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro}}		{{ED intro}}

	283edo is in[[consistent]] to the [[5-odd-limit]] and the [[harmonic]] [[3/1\|3]] is about halfway between its steps. Otherwise it is good in approximating harmonics [[5/1\|5]], [[9/1\|9]], [[11/1\|11]], [[13/1\|13]], [[17/1\|17]], [[19/1\|19]], [[21/1\|21]], and [[23/1\|23]], making it suitable for a 2.9.5.21.11.13.17.19.23 [[subgroup]] interpretation.		283edo is in[[consistent]] to the [[5-odd-limit]] and the [[harmonic]] [[3/1\|3]] is about halfway between its steps. Otherwise it is good in approximating harmonics [[5/1\|5]], [[9/1\|9]], [[11/1\|11]], [[13/1\|13]], [[17/1\|17]], [[19/1\|19]], [[21/1\|21]], and [[23/1\|23]], making it suitable for a 2.9.5.21.11.13.17.19.23 [[subgroup]] interpretation.

FloraC: Rework

2024-03-08T05:33:35Z

Rework

← Older revision		Revision as of 05:33, 8 March 2024
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	{{Infobox ET}}		{{Infobox ET}}
	The '''283 equal temperament''' divides the [[octave]] into 283 equal parts of 4.2403 [[cent]]s each. It is closely associated with the sensamagic comma ([[245/243]]), defining the [[optimal patent val]] for the sensamagic [[7-limit]] [[planar temperament]] as well as [[sensa temperament]], which tempers out both 245/243 and 65625/65536 in the 7-limit, 385/384 and 4000/3993 in the [[11-limit]], and 352/351 and 625/624 in the [[13-limit]].		{{EDO intro}}

	283edo is the ~~61st~~ [[~~prime EDO~~]].		283edo is in[[consistent]] to the [[5-odd-limit]] and the [[harmonic]] [[3/1\|3]] is about halfway between its steps. Otherwise it is good in approximating harmonics [[5/1\|5]], [[9/1\|9]], [[11/1\|11]], [[13/1\|13]], [[17/1\|17]], [[19/1\|19]], [[21/1\|21]], and [[23/1\|23]], making it suitable for a 2.9.5.21.11.13.17.19.23 [[subgroup]] interpretation.

	== ~~Harmonics~~ ==		Using the [[patent val]] nonetheless, the equal temperament is closely associated with the [[245/243\|sensamagic comma (245/243)]], defining the [[optimal patent val]] for the sensamagic [[7-limit]] [[planar temperament]] as well as [[escaped]], which tempers out both 245/243 and [[65625/65536]] in the 7-limit, [[385/384]] and [[4000/3993]] in the [[11-limit]], and [[352/351]] and [[625/624]] in the [[13-limit]].

			=== Odd harmonics ===
	{{Harmonics in equal\|283}}		{{Harmonics in equal\|283}}

	[[~~Category:Equal divisions of the octave\|###~~]] ~~<!-- 3-digit number -->~~		=== Subsets and supersets ===
	[[Category:~~Prime EDO~~]]		283edo is the 61st [[prime edo]].
	[[Category:~~Nano~~]]
			[[Category:Sensamagic]]
			[[Category:Escaped]]

BudjarnLambeth: Added "harmonics in equal" table

2023-06-24T01:46:14Z

Added "harmonics in equal" table

← Older revision		Revision as of 01:46, 24 June 2023
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	283edo is the 61st [[prime EDO]].		283edo is the 61st [[prime EDO]].

			== Harmonics ==
			{{Harmonics in equal\|283}}

	[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->		[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->
	[[Category:Prime EDO]]		[[Category:Prime EDO]]
	[[Category:Nano]]		[[Category:Nano]]

Plumtree: Infobox ET added

2022-10-04T21:46:57Z

Infobox ET added

← Older revision		Revision as of 21:46, 4 October 2022
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			{{Infobox ET}}
	The '''283 equal temperament''' divides the [[octave]] into 283 equal parts of 4.2403 [[cent]]s each. It is closely associated with the sensamagic comma ([[245/243]]), defining the [[optimal patent val]] for the sensamagic [[7-limit]] [[planar temperament]] as well as [[sensa temperament]], which tempers out both 245/243 and 65625/65536 in the 7-limit, 385/384 and 4000/3993 in the [[11-limit]], and 352/351 and 625/624 in the [[13-limit]].		The '''283 equal temperament''' divides the [[octave]] into 283 equal parts of 4.2403 [[cent]]s each. It is closely associated with the sensamagic comma ([[245/243]]), defining the [[optimal patent val]] for the sensamagic [[7-limit]] [[planar temperament]] as well as [[sensa temperament]], which tempers out both 245/243 and 65625/65536 in the 7-limit, 385/384 and 4000/3993 in the [[11-limit]], and 352/351 and 625/624 in the [[13-limit]].

Fredg999 category edits: Sort key

2022-07-03T19:07:55Z

Sort key

← Older revision		Revision as of 19:07, 3 July 2022
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	283edo is the 61st [[prime EDO]].		283edo is the 61st [[prime EDO]].

	[[Category:Equal divisions of the octave]]		[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->
	[[Category:Prime EDO]]		[[Category:Prime EDO]]
	[[Category:Nano]]		[[Category:Nano]]

Keenan Pepper category edits: Moving from Category:Edo to Category:Equal divisions of the octave using Cat-a-lot

2020-12-04T23:13:23Z

Moving from Category:Edo to Category:Equal divisions of the octave using Cat-a-lot

← Older revision		Revision as of 23:13, 4 December 2020
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	283edo is the 61st [[prime EDO]].		283edo is the 61st [[prime EDO]].

	[[Category:~~Edo~~]]		[[Category:Equal divisions of the octave]]
	[[Category:Prime EDO]]		[[Category:Prime EDO]]
	[[Category:Nano]]		[[Category:Nano]]

Xenwolf: links and typographic changes

2020-06-09T18:17:45Z

links and typographic changes

← Older revision		Revision as of 18:17, 9 June 2020
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	The 283 equal temperament divides the [[~~Octave\|~~octave]] into 283 equal parts of 4.2403 [[cent]]s each. It is closely associated with the sensamagic comma, 245/243, defining the [[~~Optimal_patent_val\|~~optimal patent val]] for the sensamagic [[7-limit]] [[~~Planar_Temperament\|~~planar temperament]] as well as [[~~Sensamagic_clan\|~~sensa temperament]], which tempers out both 245/243 and 65625/65536 in the 7-limit, 385/384 and 4000/3993 in the [[11-limit]], and 352/351 and 625/624 in the [[13-limit]].		The '''283 equal temperament''' divides the [[octave]] into 283 equal parts of 4.2403 [[cent]]s each. It is closely associated with the sensamagic comma ([[245/243]]), defining the [[optimal patent val]] for the sensamagic [[7-limit]] [[planar temperament]] as well as [[sensa temperament]], which tempers out both 245/243 and 65625/65536 in the 7-limit, 385/384 and 4000/3993 in the [[11-limit]], and 352/351 and 625/624 in the [[13-limit]].

	283edo is the 61st [[prime EDO]].		283edo is the 61st [[prime EDO]].
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	[[Category:Edo]]		[[Category:Edo]]
	[[Category:Prime EDO]]		[[Category:Prime EDO]]
	[[Category:~~nano~~]]		[[Category:Nano]]

Xenllium at 06:41, 13 March 2019

2019-03-13T06:41:39Z

← Older revision		Revision as of 06:41, 13 March 2019
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	The 283 equal temperament divides the [[Octave\|octave]] into 283 equal parts of 4.~~240~~ [[~~cent\|~~cent]]s each. It is closely associated with the sensamagic comma, 245/243, defining the [[Optimal_patent_val\|optimal patent val]] for the sensamagic [[~~7-limit\|~~7-limit]] [[Planar_Temperament\|planar temperament]] as well as [[Sensamagic_clan\|sensa temperament]], which tempers out both 245/243 and 65625/65536 in the 7-limit, 385/384 and 4000/3993 in the [[~~11-limit\|~~11-limit]], and 352/351 and 625/624 in the [[13-limit~~\|13-limit~~]].		The 283 equal temperament divides the [[Octave\|octave]] into 283 equal parts of 4.2403 [[cent]]s each. It is closely associated with the sensamagic comma, 245/243, defining the [[Optimal_patent_val\|optimal patent val]] for the sensamagic [[7-limit]] [[Planar_Temperament\|planar temperament]] as well as [[Sensamagic_clan\|sensa temperament]], which tempers out both 245/243 and 65625/65536 in the 7-limit, 385/384 and 4000/3993 in the [[11-limit]], and 352/351 and 625/624 in the [[13-limit]].
	[[Category:~~edo~~]]
			283edo is the 61st [[prime EDO]].

			[[Category:Edo]]
			[[Category:Prime EDO]]
	[[Category:nano]]		[[Category:nano]]

Wikispaces>FREEZE at 00:00, 17 July 2018

2018-07-17T00:00:00Z

← Older revision		Revision as of 00:00, 17 July 2018
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	~~<h2>IMPORTED REVISION FROM WIKISPACES</h2>~~		The 283 equal temperament divides the [[Octave\|octave]] into 283 equal parts of 4.240 [[cent\|cent]]s each. It is closely associated with the sensamagic comma, 245/243, defining the [[Optimal_patent_val\|optimal patent val]] for the sensamagic [[7-limit\|7-limit]] [[Planar_Temperament\|planar temperament]] as well as [[Sensamagic_clan\|sensa temperament]], which tempers out both 245/243 and 65625/65536 in the 7-limit, 385/384 and 4000/3993 in the [[11-limit\|11-limit]], and 352/351 and 625/624 in the [[13-limit\|13-limit]].
	~~This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>~~		[[Category:edo]]
	~~: This revision was by author [[User:xenwolf\|xenwolf]] and made on <tt>2011-03-25 15:22:09 UTC</tt>.<br>~~		[[Category:nano]]
	~~: The original revision id was <tt>214062774</tt>.<br>~~
	~~: The revision comment was: <tt></tt><br>~~
	~~The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>~~
	~~<h4>Original Wikitext content:</h4>~~
	<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">The 283 equal temperament divides the [[octave]] into 283 equal parts of 4.240 [[cent]]s each. It is closely associated with the sensamagic comma, 245/243, defining the [[optimal patent val]] for the sensamagic [[7-limit]] [[planar temperament]] as well as [[~~Sensamagic clan~~\|sensa temperament]], which tempers out both 245/243 and 65625/65536 in the 7-limit, 385/384 and 4000/3993 in the [[11-limit]], and 352/351 and 625/624 in the [[13-limit]].~~</pre></div>~~
	~~<h4>Original HTML content~~:~~</h4>~~
	~~<div style="width~~:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>283edo</title></head><body>The 283 equal temperament divides the <a class="wiki_link" href="/octave">octave</a> into 283 equal parts of 4.240 <a class="wiki_link" href="/cent">cent</a>s each. It is closely associated with the sensamagic comma, 245/243, defining the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for the sensamagic <a class="wiki_link" href="/7-limit">7-limit</a> <a class="wiki_link" href="/planar%20temperament">planar temperament</a> as well as <a class="wiki_link" href="/Sensamagic%20clan">sensa temperament</a>, which tempers out both 245/243 and 65625/65536 in the 7-limit, 385/384 and 4000/3993 in the <a class="wiki_link" href="/11-limit">11-limit</a>, and 352/351 and 625/624 in the <a class="wiki_link" href="/13-limit">13-limit</a>.</body></html></pre></div>

Wikispaces>xenwolf: Imported revision 214062774 - Original comment:

2011-03-25T15:22:09Z

**Imported revision 214062774 - Original comment: **

← Older revision		Revision as of 15:22, 25 March 2011
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	<h2>IMPORTED REVISION FROM WIKISPACES</h2>		<h2>IMPORTED REVISION FROM WIKISPACES</h2>
	This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>		This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
	: This revision was by author [[User:~~genewardsmith~~\|~~genewardsmith~~]] and made on <tt>2011-03-~~23 16~~:58:38 UTC</tt>.<br>		: This revision was by author [[User:xenwolf\|xenwolf]] and made on <tt>2011-03-25 15:22:09 UTC</tt>.<br>
	: The original revision id was <tt>~~213353688~~</tt>.<br>		: The original revision id was <tt>214062774</tt>.<br>
	: The revision comment was: <tt></tt><br>		: The revision comment was: <tt></tt><br>
	The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>		The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
	<h4>Original Wikitext content:</h4>		<h4>Original Wikitext content:</h4>
	<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">The 283 equal temperament divides the octave into 283 equal parts of 4.240 ~~cents~~ each. It is closely associated with the sensamagic comma, 245/243, defining the [[optimal patent val]] for the sensamagic 7-limit planar temperament as well as [[Sensamagic clan\|sensa temperament]], which tempers out both 245/243 and 65625/65536 in the 7-limit, 385/384 and 4000/3993 in the 11-limit, and 352/351 and 625/624 in the 13-limit.</pre></div>		<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">The 283 equal temperament divides the [[octave]] into 283 equal parts of 4.240 [[cent]]s each. It is closely associated with the sensamagic comma, 245/243, defining the [[optimal patent val]] for the sensamagic [[7-limit]] [[planar temperament]] as well as [[Sensamagic clan\|sensa temperament]], which tempers out both 245/243 and 65625/65536 in the 7-limit, 385/384 and 4000/3993 in the [[11-limit]], and 352/351 and 625/624 in the [[13-limit]].</pre></div>
	<h4>Original HTML content:</h4>		<h4>Original HTML content:</h4>
	<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>283edo</title></head><body>The 283 equal temperament divides the octave into 283 equal parts of 4.240 ~~cents~~ each. It is closely associated with the sensamagic comma, 245/243, defining the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for the sensamagic 7-limit planar temperament as well as <a class="wiki_link" href="/Sensamagic%20clan">sensa temperament</a>, which tempers out both 245/243 and 65625/65536 in the 7-limit, 385/384 and 4000/3993 in the 11-limit, and 352/351 and 625/624 in the 13-limit.</body></html></pre></div>		<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>283edo</title></head><body>The 283 equal temperament divides the <a class="wiki_link" href="/octave">octave</a> into 283 equal parts of 4.240 <a class="wiki_link" href="/cent">cent</a>s each. It is closely associated with the sensamagic comma, 245/243, defining the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for the sensamagic <a class="wiki_link" href="/7-limit">7-limit</a> <a class="wiki_link" href="/planar%20temperament">planar temperament</a> as well as <a class="wiki_link" href="/Sensamagic%20clan">sensa temperament</a>, which tempers out both 245/243 and 65625/65536 in the 7-limit, 385/384 and 4000/3993 in the <a class="wiki_link" href="/11-limit">11-limit</a>, and 352/351 and 625/624 in the <a class="wiki_link" href="/13-limit">13-limit</a>.</body></html></pre></div>