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	<id>https://xenreference.com/wiki/index.php?action=history&amp;feed=atom&amp;title=9-odd-limit</id>
	<title>9-odd-limit - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://xenreference.com/wiki/index.php?action=history&amp;feed=atom&amp;title=9-odd-limit"/>
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	<updated>2026-04-15T08:10:48Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
	<generator>MediaWiki 1.44.2</generator>
	<entry>
		<id>https://xenreference.com/wiki/index.php?title=9-odd-limit&amp;diff=6131&amp;oldid=prev</id>
		<title>Overthink: add navigation</title>
		<link rel="alternate" type="text/html" href="https://xenreference.com/wiki/index.php?title=9-odd-limit&amp;diff=6131&amp;oldid=prev"/>
		<updated>2026-04-11T03:33:41Z</updated>

		<summary type="html">&lt;p&gt;add navigation&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;
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				&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 03:33, 11 April 2026&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;&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;{{WIP}}&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;{{WIP}}&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;{{Odd-limit navigation}}&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;The &amp;#039;&amp;#039;&amp;#039;9-[[odd-limit]]&amp;#039;&amp;#039;&amp;#039; consists of all intervals where the largest allowable odd factor in the numerator and denominator is 9. Reduced to an octave, these are:&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;The &amp;#039;&amp;#039;&amp;#039;9-[[odd-limit]]&amp;#039;&amp;#039;&amp;#039; consists of all intervals where the largest allowable odd factor in the numerator and denominator is 9. Reduced to an octave, these are:&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>Overthink</name></author>
	</entry>
	<entry>
		<id>https://xenreference.com/wiki/index.php?title=9-odd-limit&amp;diff=6116&amp;oldid=prev</id>
		<title>Overthink: start page</title>
		<link rel="alternate" type="text/html" href="https://xenreference.com/wiki/index.php?title=9-odd-limit&amp;diff=6116&amp;oldid=prev"/>
		<updated>2026-04-11T03:03:44Z</updated>

		<summary type="html">&lt;p&gt;start page&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{WIP}}&lt;br /&gt;
The &amp;#039;&amp;#039;&amp;#039;9-[[odd-limit]]&amp;#039;&amp;#039;&amp;#039; consists of all intervals where the largest allowable odd factor in the numerator and denominator is 9. Reduced to an octave, these are:&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
! Interval&lt;br /&gt;
! Cents&lt;br /&gt;
! Name&lt;br /&gt;
|-&lt;br /&gt;
| 1/1&lt;br /&gt;
| 0.0&lt;br /&gt;
| Unison&lt;br /&gt;
|-&lt;br /&gt;
| &amp;#039;&amp;#039;&amp;#039;10/9&amp;#039;&amp;#039;&amp;#039;&lt;br /&gt;
| &amp;#039;&amp;#039;&amp;#039;182.4&amp;#039;&amp;#039;&amp;#039;&lt;br /&gt;
| &amp;#039;&amp;#039;&amp;#039;Minor whole tone,&amp;lt;br&amp;gt;Ptolemaic major 2nd&amp;#039;&amp;#039;&amp;#039;&lt;br /&gt;
|-&lt;br /&gt;
| &amp;#039;&amp;#039;&amp;#039;9/8&amp;#039;&amp;#039;&amp;#039;&lt;br /&gt;
| &amp;#039;&amp;#039;&amp;#039;203.9&amp;#039;&amp;#039;&amp;#039;&lt;br /&gt;
| &amp;#039;&amp;#039;&amp;#039;Major whole tone,&amp;lt;br&amp;gt;Pythagorean major 2nd&amp;#039;&amp;#039;&amp;#039;&lt;br /&gt;
|-&lt;br /&gt;
| 8/7&lt;br /&gt;
| 231.2&lt;br /&gt;
| Septimal major 2nd&lt;br /&gt;
|-&lt;br /&gt;
| 7/6&lt;br /&gt;
| 266.9&lt;br /&gt;
| Septimal minor 3rd&lt;br /&gt;
|-&lt;br /&gt;
| 6/5&lt;br /&gt;
| 315.6&lt;br /&gt;
| Classical minor 3rd&lt;br /&gt;
|-&lt;br /&gt;
| 5/4&lt;br /&gt;
| 386.4&lt;br /&gt;
| Classical major 3rd&lt;br /&gt;
|-&lt;br /&gt;
| &amp;#039;&amp;#039;&amp;#039;9/7&amp;#039;&amp;#039;&amp;#039;&lt;br /&gt;
| &amp;#039;&amp;#039;&amp;#039;435.1&amp;#039;&amp;#039;&amp;#039;&lt;br /&gt;
| &amp;#039;&amp;#039;&amp;#039;Septimal major 3rd&amp;#039;&amp;#039;&amp;#039;&lt;br /&gt;
|-&lt;br /&gt;
| 4/3&lt;br /&gt;
| 498.0&lt;br /&gt;
| Perfect 4th&lt;br /&gt;
|-&lt;br /&gt;
| 7/5&lt;br /&gt;
| 582.5&lt;br /&gt;
| Lesser septimal tritone&lt;br /&gt;
|-&lt;br /&gt;
| 10/7&lt;br /&gt;
| 617.5&lt;br /&gt;
| Greater septimal tritone&lt;br /&gt;
|-&lt;br /&gt;
| 3/2&lt;br /&gt;
| 702.0&lt;br /&gt;
| Perfect 5th&lt;br /&gt;
|-&lt;br /&gt;
| &amp;#039;&amp;#039;&amp;#039;14/9&amp;#039;&amp;#039;&amp;#039;&lt;br /&gt;
| &amp;#039;&amp;#039;&amp;#039;764.9&amp;#039;&amp;#039;&amp;#039;&lt;br /&gt;
| &amp;#039;&amp;#039;&amp;#039;Septimal minor 6th&amp;#039;&amp;#039;&amp;#039;&lt;br /&gt;
|-&lt;br /&gt;
| 8/5&lt;br /&gt;
| 813.6&lt;br /&gt;
| Classical minor 6th&lt;br /&gt;
|-&lt;br /&gt;
| 5/3&lt;br /&gt;
| 884.4&lt;br /&gt;
| Classical major 6th&lt;br /&gt;
|-&lt;br /&gt;
| 12/7&lt;br /&gt;
| 933.1&lt;br /&gt;
| Septimal major 6th&lt;br /&gt;
|-&lt;br /&gt;
| 7/4&lt;br /&gt;
| 968.8&lt;br /&gt;
| Septimal minor 7th&lt;br /&gt;
|-&lt;br /&gt;
| &amp;#039;&amp;#039;&amp;#039;16/9&amp;#039;&amp;#039;&amp;#039;&lt;br /&gt;
| &amp;#039;&amp;#039;&amp;#039;996.1&amp;#039;&amp;#039;&amp;#039;&lt;br /&gt;
| &amp;#039;&amp;#039;&amp;#039;Pythagoran minor 7th&amp;#039;&amp;#039;&amp;#039;&lt;br /&gt;
|-&lt;br /&gt;
| &amp;#039;&amp;#039;&amp;#039;9/5&amp;#039;&amp;#039;&amp;#039;&lt;br /&gt;
| &amp;#039;&amp;#039;&amp;#039;1017.6&amp;#039;&amp;#039;&amp;#039;&lt;br /&gt;
| &amp;#039;&amp;#039;&amp;#039;Classical minor 7th&amp;#039;&amp;#039;&amp;#039;&lt;br /&gt;
|-&lt;br /&gt;
| 2/1&lt;br /&gt;
| 1200.0&lt;br /&gt;
| Octave&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Overthink</name></author>
	</entry>
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