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	<id>https://en.xen.wiki/index.php?action=history&amp;feed=atom&amp;title=3-7-9-11-13_dekany</id>
	<title>3-7-9-11-13 dekany - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://en.xen.wiki/index.php?action=history&amp;feed=atom&amp;title=3-7-9-11-13_dekany"/>
	<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=3-7-9-11-13_dekany&amp;action=history"/>
	<updated>2026-07-01T15:03:11Z</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=3-7-9-11-13_dekany&amp;diff=219247&amp;oldid=prev</id>
		<title>Yourmusic Productions: Found the right temperament.</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=3-7-9-11-13_dekany&amp;diff=219247&amp;oldid=prev"/>
		<updated>2025-12-19T00:21:01Z</updated>

		<summary type="html">&lt;p&gt;Found the right temperament.&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 00:21, 19 December 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;[[File:3-7-9-11-13_Dekany.png|thumb|Circle diagram &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;(rotated)&lt;/del&gt;.]] A [[13-odd-limit]] [[Dekany]]. This creates a scale of 1 13/12 33/28 9/7 39/28 3/2 11/7 143/84 11/6 13/7 2/1, with steps of 13/12 99/91 12/11 13/12 14/13 22/21 13/12 14/13 78/77 14/13. This a detemper &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;of some kind of no-5&#039;s relative &lt;/del&gt;of [[&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;negri&lt;/del&gt;]], a chain of 12/11&#039;s, 13/12&#039;s and 14/13&#039;s with a couple of close notes distinguished that would be combined in a regular temperament. As a nonatonic scale, it is excellent, and it also has three perfect fifths to provide points of stability, plus an extra one which is sharp by [[144/143]], although they are all clustered on one side of the scale.   &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;[[File:3-7-9-11-13_Dekany.png|thumb|Circle diagram.]] A [[13-odd-limit]] [[Dekany]]. This creates a scale of 1 13/12 33/28 9/7 39/28 3/2 11/7 143/84 11/6 13/7 2/1, with steps of 13/12 99/91 12/11 13/12 14/13 22/21 13/12 14/13 78/77 14/13. This a detemper of [[&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;bleu&lt;/ins&gt;]], a chain of 12/11&#039;s, 13/12&#039;s and 14/13&#039;s &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;that reaches 3/2 after 5 steps &lt;/ins&gt;with a couple of close notes distinguished that would be combined in a regular temperament. As a nonatonic scale, it is excellent, and it also has three perfect fifths to provide points of stability, plus an extra one which is sharp by [[144/143]], although they are all clustered on one side of the scale.   &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;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;&amp;lt;pre&amp;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;&amp;lt;pre&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Yourmusic Productions</name></author>
	</entry>
	<entry>
		<id>https://en.xen.wiki/index.php?title=3-7-9-11-13_dekany&amp;diff=219147&amp;oldid=prev</id>
		<title>Yourmusic Productions: copypasting error</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=3-7-9-11-13_dekany&amp;diff=219147&amp;oldid=prev"/>
		<updated>2025-12-16T19:11:25Z</updated>

		<summary type="html">&lt;p&gt;copypasting error&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 19:11, 16 December 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-l2&quot;&gt;Line 2:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 2:&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;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;&amp;lt;pre&amp;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;&amp;lt;pre&amp;gt;&lt;/div&gt;&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;! 3-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;5&lt;/del&gt;-9-11-13_Dekany.scl&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;! 3-&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;7&lt;/ins&gt;-9-11-13_Dekany.scl&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 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;3 &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;5 &lt;/del&gt;9 11 13 2-combination Dekany&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;3 &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;7 &lt;/ins&gt;9 11 13 2-combination Dekany&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;10&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;10&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;/table&gt;</summary>
		<author><name>Yourmusic Productions</name></author>
	</entry>
	<entry>
		<id>https://en.xen.wiki/index.php?title=3-7-9-11-13_dekany&amp;diff=219146&amp;oldid=prev</id>
		<title>Yourmusic Productions: Create Page.</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=3-7-9-11-13_dekany&amp;diff=219146&amp;oldid=prev"/>
		<updated>2025-12-16T19:10:39Z</updated>

		<summary type="html">&lt;p&gt;Create Page.&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;[[File:3-7-9-11-13_Dekany.png|thumb|Circle diagram (rotated).]] A [[13-odd-limit]] [[Dekany]]. This creates a scale of 1 13/12 33/28 9/7 39/28 3/2 11/7 143/84 11/6 13/7 2/1, with steps of 13/12 99/91 12/11 13/12 14/13 22/21 13/12 14/13 78/77 14/13. This a detemper of some kind of no-5&amp;#039;s relative of [[negri]], a chain of 12/11&amp;#039;s, 13/12&amp;#039;s and 14/13&amp;#039;s with a couple of close notes distinguished that would be combined in a regular temperament. As a nonatonic scale, it is excellent, and it also has three perfect fifths to provide points of stability, plus an extra one which is sharp by [[144/143]], although they are all clustered on one side of the scale.  &lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
! 3-5-9-11-13_Dekany.scl&lt;br /&gt;
!&lt;br /&gt;
3 5 9 11 13 2-combination Dekany&lt;br /&gt;
10&lt;br /&gt;
!&lt;br /&gt;
138.572&lt;br /&gt;
284.447&lt;br /&gt;
435.084&lt;br /&gt;
573.656&lt;br /&gt;
701.955&lt;br /&gt;
782.492&lt;br /&gt;
921.064&lt;br /&gt;
1049.362&lt;br /&gt;
1071.701&lt;br /&gt;
1200&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Suggested keyboard mapping: Start on C, skip the D and F notes. &lt;br /&gt;
&lt;br /&gt;
[[Category:Dekanies]]&lt;br /&gt;
[[Category:10-tone scales]]&lt;br /&gt;
[[Category:Pages with Scala files]]&lt;/div&gt;</summary>
		<author><name>Yourmusic Productions</name></author>
	</entry>
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