2513edo - Revision history

Francium: changed EDO intro to ED intro

2025-02-20T07:02:14Z

changed EDO intro to ED intro

← Older revision		Revision as of 07:02, 20 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|2513~~}}		{{ED intro}}

	2513edo is a very strong 5-limit system, with a lower 5-limit [[Tenney-Euclidean temperament measures #TE simple badness\|relative error]] than any edo until we reach the cosmically excellent [[4296edo]]. 2513 = {{factorization\|2513}}, and it shares its [[harmonic]] [[3/1\|3]] with [[359edo]]. A basis for its 5-limit commas consists of senior, {{monzo\| -17 62 -35 }}, and fortune, {{monzo\| -107 47 14 }}; it also [[tempering out\|tempers out]] pirate, {{monzo\| -90 -15 49 }}. It is uniquely [[consistent]] through to the [[11-odd-limit]], and tempers out 420175/419904 in the 7-limit and 151263/151250 and 234375/234256 in the 11-limit.		2513edo is a very strong 5-limit system, with a lower 5-limit [[Tenney-Euclidean temperament measures #TE simple badness\|relative error]] than any edo until we reach the cosmically excellent [[4296edo]]. 2513 = {{factorization\|2513}}, and it shares its [[harmonic]] [[3/1\|3]] with [[359edo]]. A basis for its 5-limit commas consists of senior, {{monzo\| -17 62 -35 }}, and fortune, {{monzo\| -107 47 14 }}; it also [[tempering out\|tempers out]] pirate, {{monzo\| -90 -15 49 }}. It is uniquely [[consistent]] through to the [[11-odd-limit]], and tempers out 420175/419904 in the 7-limit and 151263/151250 and 234375/234256 in the 11-limit.

FloraC: Note its important subset

2023-10-30T10:45:55Z

Note its important subset

← Older revision		Revision as of 10:45, 30 October 2023
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	{{EDO intro\|2513}}		{{EDO intro\|2513}}

	2513edo is a very strong 5-limit system, with a lower 5-limit [[Tenney-Euclidean temperament measures #TE simple badness\|relative error]] than any edo until we reach the cosmically excellent [[4296edo]]. A basis for its 5-limit commas is senior, {{monzo\| -17 62 -35 }}, and fortune, {{monzo\| -107 47 14 }}; it also tempers out pirate, {{monzo\| -90 -15 49 }}. It is uniquely [[consistent]] through to the [[11-odd-limit]], and tempers out 420175/419904 in the 7-limit and 151263/151250 and 234375/234256 in the 11-limit.		2513edo is a very strong 5-limit system, with a lower 5-limit [[Tenney-Euclidean temperament measures #TE simple badness\|relative error]] than any edo until we reach the cosmically excellent [[4296edo]]. 2513 = {{factorization\|2513}}, and it shares its [[harmonic]] [[3/1\|3]] with [[359edo]]. A basis for its 5-limit commas consists of senior, {{monzo\| -17 62 -35 }}, and fortune, {{monzo\| -107 47 14 }}; it also [[tempering out\|tempers out]] pirate, {{monzo\| -90 -15 49 }}. It is uniquely [[consistent]] through to the [[11-odd-limit]], and tempers out 420175/419904 in the 7-limit and 151263/151250 and 234375/234256 in the 11-limit.

	=== Prime harmonics ===		=== Prime harmonics ===
	{{Harmonics in equal\|2513\|prec=4}}		{{Harmonics in equal\|2513\|prec=4}}

FloraC: Adopt template: EDO intro; cleanup

2023-10-15T12:10:10Z

Adopt template: EDO intro; cleanup

← Older revision		Revision as of 12:10, 15 October 2023
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	{{Infobox ET}}		{{Infobox ET}}
	~~The '''2513 division''' divides the octave into~~ 2513 equal parts of 0.4775 cents each. It is a very strong 5-limit system, with a lower 5-limit [[Tenney-Euclidean_temperament_measures#TE simple badness\|relative error]] than any edo until we reach the cosmically excellent [[4296edo\|4296edo]]. A basis for its 5-limit commas is senior, \|-17 62 -35> and fortune, \|-107 47 14>; it also tempers out pirate, \|-90 -15 49>. It is uniquely consistent through to the 11-limit, and tempers out 420175/419904 in the 7-limit and 151263/151250 and 234375/234256 in the 11-limit.		{{EDO intro\|2513}}

	{{~~Primes in edo~~\|~~2513~~\|~~prec=4~~}}		2513edo is a very strong 5-limit system, with a lower 5-limit [[Tenney-Euclidean temperament measures #TE simple badness\|relative error]] than any edo until we reach the cosmically excellent [[4296edo]]. A basis for its 5-limit commas is senior, {{monzo\| -17 62 -35 }}, and fortune, {{monzo\| -107 47 14 }}; it also tempers out pirate, {{monzo\| -90 -15 49 }}. It is uniquely [[consistent]] through to the [[11-odd-limit]], and tempers out 420175/419904 in the 7-limit and 151263/151250 and 234375/234256 in the 11-limit.

	~~[[Category:Equal divisions of the octave~~\|~~####]] <!--~~ 4~~-digit number -->~~		=== Prime harmonics ===
			{{Harmonics in equal\|2513\|prec=4}}

Plumtree: Infobox ET added

2022-10-04T22:15:36Z

Infobox ET added

← Older revision		Revision as of 22:15, 4 October 2022
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			{{Infobox ET}}
	The '''2513 division''' divides the octave into 2513 equal parts of 0.4775 cents each. It is a very strong 5-limit system, with a lower 5-limit [[Tenney-Euclidean_temperament_measures#TE simple badness\|relative error]] than any edo until we reach the cosmically excellent [[4296edo\|4296edo]]. A basis for its 5-limit commas is senior, \|-17 62 -35> and fortune, \|-107 47 14>; it also tempers out pirate, \|-90 -15 49>. It is uniquely consistent through to the 11-limit, and tempers out 420175/419904 in the 7-limit and 151263/151250 and 234375/234256 in the 11-limit.		The '''2513 division''' divides the octave into 2513 equal parts of 0.4775 cents each. It is a very strong 5-limit system, with a lower 5-limit [[Tenney-Euclidean_temperament_measures#TE simple badness\|relative error]] than any edo until we reach the cosmically excellent [[4296edo\|4296edo]]. A basis for its 5-limit commas is senior, \|-17 62 -35> and fortune, \|-107 47 14>; it also tempers out pirate, \|-90 -15 49>. It is uniquely consistent through to the 11-limit, and tempers out 420175/419904 in the 7-limit and 151263/151250 and 234375/234256 in the 11-limit.

Fredg999 category edits: Categories

2022-07-04T01:26:01Z

Inthar at 07:32, 23 April 2021

2021-04-23T07:32:34Z

← Older revision		Revision as of 07:32, 23 April 2021
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	The 2513 division divides the octave into 2513 equal parts of 0.4775 cents each. It is a very strong 5-limit system, with a lower 5-limit [[Tenney-Euclidean_temperament_measures#TE simple badness\|relative error]] than any edo until we reach the cosmically excellent [[4296edo\|4296edo]]. A basis for its 5-limit commas is senior, \|-17 62 -35> and fortune, \|-107 47 14>; it also tempers out pirate, \|-90 -15 49>. It is uniquely consistent through to the 11-limit, and tempers out 420175/419904 in the 7-limit and 151263/151250 and 234375/234256 in the 11-limit.		The 2513 division divides the octave into 2513 equal parts of 0.4775 cents each. It is a very strong 5-limit system, with a lower 5-limit [[Tenney-Euclidean_temperament_measures#TE simple badness\|relative error]] than any edo until we reach the cosmically excellent [[4296edo\|4296edo]]. A basis for its 5-limit commas is senior, \|-17 62 -35> and fortune, \|-107 47 14>; it also tempers out pirate, \|-90 -15 49>. It is uniquely consistent through to the 11-limit, and tempers out 420175/419904 in the 7-limit and 151263/151250 and 234375/234256 in the 11-limit.

			{{Primes in edo\|2513\|prec=4}}

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 2513 division divides the octave into 2513 equal parts of 0.4775 cents each. It is a very strong 5-limit system, with a lower 5-limit [[Tenney-Euclidean_temperament_measures#TE simple badness\|relative error]] than any edo until we reach the cosmically excellent [[4296edo\|4296edo]]. A basis for its 5-limit commas is senior, \|-17 62 -35> and fortune, \|-107 47 14>; it also tempers out pirate, \|-90 -15 49>. It is uniquely consistent through to the 11-limit, and tempers out 420175/419904 in the 7-limit and 151263/151250 and 234375/234256 in the 11-limit.
	~~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>2015-08-18 00:27:11 UTC</tt>.<br>~~
	~~: The original revision id was <tt>556855283</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 2513 division divides the octave into 2513 equal parts of 0.4775 cents each. It is a very strong 5-limit system, with a lower 5-limit [[Tenney-~~Euclidean temperament measures~~#TE simple badness\|relative error]] than any edo until we reach the cosmically excellent [[4296edo]]. A basis for its 5-limit commas is senior, \|-17 62 -35> and fortune, \|-107 47 14>; it also tempers out pirate, \|-90 -15 49>. It is uniquely consistent through to the 11-limit, and tempers out 420175/419904 in the 7-limit and 151263/151250 and 234375/234256 in the 11-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>2513edo</title></head><body>The 2513 division divides the octave into 2513 equal parts of 0.4775 cents each. It is a very strong 5-limit system, with a lower 5-limit <a class="wiki_link" href="/Tenney-Euclidean%20temperament%20measures#TE simple badness">relative error</a> than any edo until we reach the cosmically excellent <a class="wiki_link" href="/4296edo">4296edo</a>. A basis for its 5-limit commas is senior, \|-17 62 -35&gt; and fortune, \|-107 47 14&gt;; it also tempers out pirate, \|-90 -15 49&gt;. It is uniquely consistent through to the 11-limit, and tempers out 420175/419904 in the 7-limit and 151263/151250 and 234375/234256 in the 11-limit.</body></html></pre></div>

Wikispaces>genewardsmith: Imported revision 556855283 - Original comment:

2015-08-18T00:27:11Z

**Imported revision 556855283 - Original comment: **

New page

<h2>IMPORTED REVISION FROM WIKISPACES</h2>
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>2015-08-18 00:27:11 UTC</tt>.<br>
: The original revision id was <tt>556855283</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 2513 division divides the octave into 2513 equal parts of 0.4775 cents each. It is a very strong 5-limit system, with a lower 5-limit [[Tenney-Euclidean temperament measures#TE simple badness|relative error]] than any edo until we reach the cosmically excellent [[4296edo]]. A basis for its 5-limit commas is senior, |-17 62 -35> and fortune, |-107 47 14>; it also tempers out pirate, |-90 -15 49>. It is uniquely consistent through to the 11-limit, and tempers out 420175/419904 in the 7-limit and 151263/151250 and 234375/234256 in the 11-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>2513edo</title></head><body>The 2513 division divides the octave into 2513 equal parts of 0.4775 cents each. It is a very strong 5-limit system, with a lower 5-limit <a class="wiki_link" href="/Tenney-Euclidean%20temperament%20measures#TE simple badness">relative error</a> than any edo until we reach the cosmically excellent <a class="wiki_link" href="/4296edo">4296edo</a>. A basis for its 5-limit commas is senior, |-17 62 -35&gt; and fortune, |-107 47 14&gt;; it also tempers out pirate, |-90 -15 49&gt;. It is uniquely consistent through to the 11-limit, and tempers out 420175/419904 in the 7-limit and 151263/151250 and 234375/234256 in the 11-limit.</body></html></pre></div>

← Older revision		Revision as of 01:26, 4 July 2022
Line 1:		Line 1:
	The 2513 division divides the octave into 2513 equal parts of 0.4775 cents each. It is a very strong 5-limit system, with a lower 5-limit [[Tenney-Euclidean_temperament_measures#TE simple badness\|relative error]] than any edo until we reach the cosmically excellent [[4296edo\|4296edo]]. A basis for its 5-limit commas is senior, \|-17 62 -35> and fortune, \|-107 47 14>; it also tempers out pirate, \|-90 -15 49>. It is uniquely consistent through to the 11-limit, and tempers out 420175/419904 in the 7-limit and 151263/151250 and 234375/234256 in the 11-limit.		The '''2513 division''' divides the octave into 2513 equal parts of 0.4775 cents each. It is a very strong 5-limit system, with a lower 5-limit [[Tenney-Euclidean_temperament_measures#TE simple badness\|relative error]] than any edo until we reach the cosmically excellent [[4296edo\|4296edo]]. A basis for its 5-limit commas is senior, \|-17 62 -35> and fortune, \|-107 47 14>; it also tempers out pirate, \|-90 -15 49>. It is uniquely consistent through to the 11-limit, and tempers out 420175/419904 in the 7-limit and 151263/151250 and 234375/234256 in the 11-limit.

	{{Primes in edo\|2513\|prec=4}}		{{Primes in edo\|2513\|prec=4}}

			[[Category:Equal divisions of the octave\|####]] <!-- 4-digit number -->