<?xml version="1.0"?>
<feed xmlns="http://www.w3.org/2005/Atom" xml:lang="en">
	<id>https://en.xen.wiki/index.php?action=history&amp;feed=atom&amp;title=User%3AEliora%2F2592edo</id>
	<title>User:Eliora/2592edo - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://en.xen.wiki/index.php?action=history&amp;feed=atom&amp;title=User%3AEliora%2F2592edo"/>
	<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=User:Eliora/2592edo&amp;action=history"/>
	<updated>2026-07-02T13:25:04Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
	<generator>MediaWiki 1.43.6</generator>
	<entry>
		<id>https://en.xen.wiki/index.php?title=User:Eliora/2592edo&amp;diff=207784&amp;oldid=prev</id>
		<title>FloraC: Text replacement - &quot;{{Infobox ET}}&quot; to &quot;{{Infobox ET|debug=1}}&quot;</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=User:Eliora/2592edo&amp;diff=207784&amp;oldid=prev"/>
		<updated>2025-08-20T16:53:41Z</updated>

		<summary type="html">&lt;p&gt;Text replacement - &amp;quot;{{Infobox ET}}&amp;quot; to &amp;quot;{{Infobox ET|debug=1}}&amp;quot;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 16:53, 20 August 2025&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{Infobox ET}}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{Infobox ET&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;|debug=1&lt;/ins&gt;}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{ED intro}}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{ED intro}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>FloraC</name></author>
	</entry>
	<entry>
		<id>https://en.xen.wiki/index.php?title=User:Eliora/2592edo&amp;diff=206291&amp;oldid=prev</id>
		<title>Fredg999: Fredg999 moved page 2592edo to User:Eliora/2592edo without leaving a redirect: XW:NG</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=User:Eliora/2592edo&amp;diff=206291&amp;oldid=prev"/>
		<updated>2025-08-04T04:52:45Z</updated>

		<summary type="html">&lt;p&gt;Fredg999 moved page &lt;a href=&quot;/index.php?title=2592edo&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;2592edo (page does not exist)&quot;&gt;2592edo&lt;/a&gt; to &lt;a href=&quot;/w/User:Eliora/2592edo&quot; title=&quot;User:Eliora/2592edo&quot;&gt;User:Eliora/2592edo&lt;/a&gt; without leaving a redirect: &lt;a href=&quot;/w/XW:NG&quot; class=&quot;mw-redirect&quot; title=&quot;XW:NG&quot;&gt;XW:NG&lt;/a&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 04:52, 4 August 2025&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-notice&quot; lang=&quot;en&quot;&gt;&lt;div class=&quot;mw-diff-empty&quot;&gt;(No difference)&lt;/div&gt;
&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;</summary>
		<author><name>Fredg999</name></author>
	</entry>
	<entry>
		<id>https://en.xen.wiki/index.php?title=User:Eliora/2592edo&amp;diff=206176&amp;oldid=prev</id>
		<title>Eliora: Created page with &quot;{{Infobox ET}} {{ED intro}}  2592edo is consistent in the 5-odd-limit, though its approximation of simple harmonics is rather poor. Nonetheless, there are strong direct approximations to 15/14, 10/9, 13/9, 13/10, 15/13.  Furthermore, in the 7-limit, it provides the optimal patent val for the 32nd-octave windrose temperament, even if inconsisent. 2592edo overall is best considered for its subsets due to many divisors, see below.  === Odd harmonics...&quot;</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=User:Eliora/2592edo&amp;diff=206176&amp;oldid=prev"/>
		<updated>2025-08-02T22:24:27Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;{{Infobox ET}} {{ED intro}}  2592edo is consistent in the 5-odd-limit, though its approximation of simple harmonics is rather poor. Nonetheless, there are strong direct approximations to &lt;a href=&quot;/w/15/14&quot; title=&quot;15/14&quot;&gt;15/14&lt;/a&gt;, &lt;a href=&quot;/w/10/9&quot; title=&quot;10/9&quot;&gt;10/9&lt;/a&gt;, &lt;a href=&quot;/w/13/9&quot; title=&quot;13/9&quot;&gt;13/9&lt;/a&gt;, &lt;a href=&quot;/w/13/10&quot; title=&quot;13/10&quot;&gt;13/10&lt;/a&gt;, &lt;a href=&quot;/w/15/13&quot; title=&quot;15/13&quot;&gt;15/13&lt;/a&gt;.  Furthermore, in the 7-limit, it provides the optimal patent val for the 32nd-octave &lt;a href=&quot;/w/Windrose&quot; class=&quot;mw-redirect&quot; title=&quot;Windrose&quot;&gt;windrose&lt;/a&gt; temperament, even if inconsisent. 2592edo overall is best considered for its subsets due to many divisors, see below.  === Odd harmonics...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{Infobox ET}}&lt;br /&gt;
{{ED intro}}&lt;br /&gt;
&lt;br /&gt;
2592edo is consistent in the 5-odd-limit, though its approximation of simple harmonics is rather poor. Nonetheless, there are strong direct approximations to [[15/14]], [[10/9]], [[13/9]], [[13/10]], [[15/13]].&lt;br /&gt;
&lt;br /&gt;
Furthermore, in the 7-limit, it provides the optimal patent val for the 32nd-octave [[windrose]] temperament, even if inconsisent. 2592edo overall is best considered for its subsets due to many divisors, see below.&lt;br /&gt;
&lt;br /&gt;
=== Odd harmonics ===&lt;br /&gt;
{{harmonics in equal|2592}}&lt;br /&gt;
&lt;br /&gt;
=== Subsets ===&lt;br /&gt;
Since 2592 factors as {{Factorization|2592}}, 2592edo has subset edos {{EDOs|1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 81, 96, 108, 144, 162, 216, 288, 324, 432, 648, 864, 1296}}. Its abundancy index is around 1.94.&lt;/div&gt;</summary>
		<author><name>Eliora</name></author>
	</entry>
</feed>