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	<id>https://en.xen.wiki/index.php?action=history&amp;feed=atom&amp;title=User%3AFrancium%2F3323edo</id>
	<title>User:Francium/3323edo - 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%3AFrancium%2F3323edo"/>
	<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=User:Francium/3323edo&amp;action=history"/>
	<updated>2026-06-28T08:10:52Z</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:Francium/3323edo&amp;diff=213570&amp;oldid=prev</id>
		<title>Francium: +music</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=User:Francium/3323edo&amp;diff=213570&amp;oldid=prev"/>
		<updated>2025-10-19T12:57:31Z</updated>

		<summary type="html">&lt;p&gt;+music&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 12:57, 19 October 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-l75&quot;&gt;Line 75:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 75:&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;| 0.49&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;| 0.49&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;|}&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;|}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&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;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&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;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;== Music ==&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&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;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;* &quot;THIS IS NOTHING!&quot; from &#039;&#039;Things to Scream at People&#039;&#039; (2025) – [https://open.spotify.com/track/1QH20uhtMrR3LlEpeivHXF Spotify] | [https://francium223.bandcamp.com/track/this-is-nothing Bandcamp] | [https://www.youtube.com/watch?v=n1bi3VWcvyo YouTube] – in Schisminic, 3323edo tuning&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Francium</name></author>
	</entry>
	<entry>
		<id>https://en.xen.wiki/index.php?title=User:Francium/3323edo&amp;diff=205759&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:Francium/3323edo&amp;diff=205759&amp;oldid=prev"/>
		<updated>2025-08-01T14:43:45Z</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;
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				&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 14:43, 1 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:Francium/3323edo&amp;diff=205162&amp;oldid=prev</id>
		<title>Francium: Francium moved page User:3323edo to User:Francium/3323edo</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=User:Francium/3323edo&amp;diff=205162&amp;oldid=prev"/>
		<updated>2025-07-27T08:54:26Z</updated>

		<summary type="html">&lt;p&gt;Francium moved page &lt;a href=&quot;/index.php?title=User:3323edo&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;User:3323edo (page does not exist)&quot;&gt;User:3323edo&lt;/a&gt; to &lt;a href=&quot;/w/User:Francium/3323edo&quot; title=&quot;User:Francium/3323edo&quot;&gt;User:Francium/3323edo&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 08:54, 27 July 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>Francium</name></author>
	</entry>
	<entry>
		<id>https://en.xen.wiki/index.php?title=User:Francium/3323edo&amp;diff=205160&amp;oldid=prev</id>
		<title>Francium: Francium moved page 3323edo to User:3323edo</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=User:Francium/3323edo&amp;diff=205160&amp;oldid=prev"/>
		<updated>2025-07-27T08:53:42Z</updated>

		<summary type="html">&lt;p&gt;Francium moved page &lt;a href=&quot;/index.php?title=3323edo&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;3323edo (page does not exist)&quot;&gt;3323edo&lt;/a&gt; to &lt;a href=&quot;/index.php?title=User:3323edo&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;User:3323edo (page does not exist)&quot;&gt;User:3323edo&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 08:53, 27 July 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>Francium</name></author>
	</entry>
	<entry>
		<id>https://en.xen.wiki/index.php?title=User:Francium/3323edo&amp;diff=205087&amp;oldid=prev</id>
		<title>Francium: Created page with &quot;{{Infobox ET}} {{ED intro}}  == Theory == 3323edo is consistent to the 25-odd-limit, tempering out the following commas:  13-limit: 4096/4095, 6656/6655, 105644/105625, 1574640/1574573, 21437500/21434787  17-limit: 4096/4095, 12376/12375, 37180/37179, 194481/194480 25510625/25509168  19-limit: 4096/4095, 12376/12375, 14400/14399, 104272/104247, 104976/104975, 37180/37179, 203148/203125  23-limit: 4096/4095, 12376/12375, 14400/14399...&quot;</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=User:Francium/3323edo&amp;diff=205087&amp;oldid=prev"/>
		<updated>2025-07-25T19:45:07Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;{{Infobox ET}} {{ED intro}}  == Theory == 3323edo is &lt;a href=&quot;/w/Consistent&quot; class=&quot;mw-redirect&quot; title=&quot;Consistent&quot;&gt;consistent&lt;/a&gt; to the &lt;a href=&quot;/w/25-odd-limit&quot; title=&quot;25-odd-limit&quot;&gt;25-odd-limit&lt;/a&gt;, &lt;a href=&quot;/w/Tempering_out&quot; title=&quot;Tempering out&quot;&gt;tempering out&lt;/a&gt; the following commas:  13-limit: &lt;a href=&quot;/w/4096/4095&quot; title=&quot;4096/4095&quot;&gt;4096/4095&lt;/a&gt;, &lt;a href=&quot;/w/6656/6655&quot; title=&quot;6656/6655&quot;&gt;6656/6655&lt;/a&gt;, 105644/105625, 1574640/1574573, 21437500/21434787  17-limit: 4096/4095, &lt;a href=&quot;/w/12376/12375&quot; class=&quot;mw-redirect&quot; title=&quot;12376/12375&quot;&gt;12376/12375&lt;/a&gt;, &lt;a href=&quot;/w/37180/37179&quot; class=&quot;mw-redirect&quot; title=&quot;37180/37179&quot;&gt;37180/37179&lt;/a&gt;, &lt;a href=&quot;/w/194481/194480&quot; class=&quot;mw-redirect&quot; title=&quot;194481/194480&quot;&gt;194481/194480&lt;/a&gt; 25510625/25509168  19-limit: 4096/4095, 12376/12375, &lt;a href=&quot;/w/14400/14399&quot; class=&quot;mw-redirect&quot; title=&quot;14400/14399&quot;&gt;14400/14399&lt;/a&gt;, 104272/104247, 104976/104975, &lt;a href=&quot;/w/37180/37179&quot; class=&quot;mw-redirect&quot; title=&quot;37180/37179&quot;&gt;37180/37179&lt;/a&gt;, 203148/203125  23-limit: 4096/4095, 12376/12375, 14400/14399...&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;
== Theory ==&lt;br /&gt;
3323edo is [[consistent]] to the [[25-odd-limit]], [[tempering out]] the following commas:&lt;br /&gt;
&lt;br /&gt;
13-limit: [[4096/4095]], [[6656/6655]], 105644/105625, 1574640/1574573, 21437500/21434787&lt;br /&gt;
&lt;br /&gt;
17-limit: 4096/4095, [[12376/12375]], [[37180/37179]], [[194481/194480]] 25510625/25509168&lt;br /&gt;
&lt;br /&gt;
19-limit: 4096/4095, 12376/12375, [[14400/14399]], 104272/104247, 104976/104975, [[37180/37179]], 203148/203125&lt;br /&gt;
&lt;br /&gt;
23-limit: 4096/4095, 12376/12375, 14400/14399, 21736/21735, 10626/10625, 104272/104247, 104976/104975, 203148/203125 &lt;br /&gt;
&lt;br /&gt;
Using the 2.3.5.7.11.23.31 subgroup, it tempers out [[19251/19250]]. As an equal temperament, 3323edo supports the [[septendecimal jacobin]] temperament.&lt;br /&gt;
&lt;br /&gt;
=== Prime harmonics ===&lt;br /&gt;
{{Harmonics in equal|3323}}&lt;br /&gt;
&lt;br /&gt;
=== Subsets and supersets ===&lt;br /&gt;
3323edo is the 468th [[prime edo]].&lt;br /&gt;
&lt;br /&gt;
== Regular temperament properties ==&lt;br /&gt;
{| class=&amp;quot;wikitable center-4 center-5 center-6&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
! rowspan=&amp;quot;2&amp;quot; | [[Subgroup]]&lt;br /&gt;
! rowspan=&amp;quot;2&amp;quot; | [[Comma list|Comma List]]&lt;br /&gt;
! rowspan=&amp;quot;2&amp;quot; | [[Mapping]]&lt;br /&gt;
! rowspan=&amp;quot;2&amp;quot; | Optimal&amp;lt;br /&amp;gt;8ve stretch (¢)&lt;br /&gt;
! colspan=&amp;quot;2&amp;quot; | Tuning Error&lt;br /&gt;
|-	&lt;br /&gt;
! [[TE error|Absolute]] (¢)&lt;br /&gt;
! [[TE simple badness|Relative]] (%)&lt;br /&gt;
|-&lt;br /&gt;
| 2.3&lt;br /&gt;
| {{monzo|5267 -3323}}&lt;br /&gt;
| {{mapping|3323 5267}}&lt;br /&gt;
| -0.0193&lt;br /&gt;
| 0.0193&lt;br /&gt;
| 0.70&lt;br /&gt;
|-&lt;br /&gt;
| 2.3.5&lt;br /&gt;
| {{monzo|38 -2 -15}}, {{monzo|151 -211 79}}&lt;br /&gt;
| {{mapping|3323 5267 7716}}&lt;br /&gt;
| -0.0250&lt;br /&gt;
| 0.0177&lt;br /&gt;
| 0.64&lt;br /&gt;
|-&lt;br /&gt;
| 2.3.5.7&lt;br /&gt;
| {{monzo|3 -13 10 -2}}, {{monzo|41 -15 -5 -2}}, {{monzo|-1 -18 -3 13}}&lt;br /&gt;
| {{mapping|3323 5267 7716 9329}}&lt;br /&gt;
| -0.0239&lt;br /&gt;
| 0.0154&lt;br /&gt;
| 0.56&lt;br /&gt;
|-&lt;br /&gt;
| 2.3.5.7.11&lt;br /&gt;
| 151263/151250, 21437500/21434787, 2097152/2096325, 1395654656/1395032625&lt;br /&gt;
| {{mapping|3323 5267 7716 9329 11496}}&lt;br /&gt;
| -0.0255&lt;br /&gt;
| 0.0142&lt;br /&gt;
| 0.51&lt;br /&gt;
|-&lt;br /&gt;
| 2.3.5.7.11.13&lt;br /&gt;
| 4096/4095, 6656/6655, 105644/105625, 1574640/1574573, 21437500/21434787 &lt;br /&gt;
| {{mapping|3323 5267 7716 9329 11496 12297}}&lt;br /&gt;
| -0.0284&lt;br /&gt;
| 0.0145&lt;br /&gt;
| 0.52&lt;br /&gt;
|-&lt;br /&gt;
| 2.3.5.7.11.13.17&lt;br /&gt;
| 4096/4095, 12376/12375, 14400/14399, 37180/37179, 194481/194480, 25510625/25509168&lt;br /&gt;
| {{mapping|3323 5267 7716 9329 11496 12297 13583}}&lt;br /&gt;
| -0.0289&lt;br /&gt;
| 0.0135&lt;br /&gt;
| 0.49&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Francium</name></author>
	</entry>
</feed>