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	<id>https://en.xen.wiki/index.php?action=history&amp;feed=atom&amp;title=1-5-13-15_stellated_hexany</id>
	<title>1-5-13-15 stellated hexany - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://en.xen.wiki/index.php?action=history&amp;feed=atom&amp;title=1-5-13-15_stellated_hexany"/>
	<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=1-5-13-15_stellated_hexany&amp;action=history"/>
	<updated>2026-07-13T02:26:00Z</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=1-5-13-15_stellated_hexany&amp;diff=233613&amp;oldid=prev</id>
		<title>Yourmusic Productions: Fix math error.</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=1-5-13-15_stellated_hexany&amp;diff=233613&amp;oldid=prev"/>
		<updated>2026-07-11T08:43:20Z</updated>

		<summary type="html">&lt;p&gt;Fix math 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;
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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 08:43, 11 July 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; 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:1-5-13-15_Stellated_Hexany.png|thumb|Circle diagram.]] [[File:1-5-13-15_Stellated_Hexany_(rotated).png|thumb|Circle diagram. (rotated)]] A [[15-odd-limit]] stellated [[Hexany]]. This creates a scale of 1 65/64 75/64 5/4 195/128 13/8 15/8 975/512 2/1, with steps of 65/64 15/13 16/15 39/32 16/15 15/13 &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;16&lt;/del&gt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;15 &lt;/del&gt;1024/975. This only adds two notes to the [[1-5-13-15 hexany|base hexany]], which do not add any more perfect fifths or decrease the size of the large steps, instead adding extra comma steps of 65/64 between one of the already smaller steps that only increase the amount of dissonance available, making this of little extra value compared to its base form.&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:1-5-13-15_Stellated_Hexany.png|thumb|Circle diagram.]] [[File:1-5-13-15_Stellated_Hexany_(rotated).png|thumb|Circle diagram. (rotated)]] A [[15-odd-limit]] stellated [[Hexany]]. This creates a scale of 1 65/64 75/64 5/4 195/128 13/8 15/8 975/512 2/1, with steps of 65/64 15/13 16/15 39/32 16/15 15/13 &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;65&lt;/ins&gt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;64 &lt;/ins&gt;1024/975. This only adds two notes to the [[1-5-13-15 hexany|base hexany]], which do not add any more perfect fifths or decrease the size of the large steps, instead adding extra comma steps of 65/64 between one of the already smaller steps that only increase the amount of dissonance available, making this of little extra value compared to its base form.&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;&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;&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;! 1-5-13-15_Stellated_Hexany.scl&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;! 1-5-13-15_Stellated_Hexany.scl&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=1-5-13-15_stellated_hexany&amp;diff=230203&amp;oldid=prev</id>
		<title>Yourmusic Productions: Create Page.</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=1-5-13-15_stellated_hexany&amp;diff=230203&amp;oldid=prev"/>
		<updated>2026-05-13T09:08:38Z</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:1-5-13-15_Stellated_Hexany.png|thumb|Circle diagram.]] [[File:1-5-13-15_Stellated_Hexany_(rotated).png|thumb|Circle diagram. (rotated)]] A [[15-odd-limit]] stellated [[Hexany]]. This creates a scale of 1 65/64 75/64 5/4 195/128 13/8 15/8 975/512 2/1, with steps of 65/64 15/13 16/15 39/32 16/15 15/13 16/15 1024/975. This only adds two notes to the [[1-5-13-15 hexany|base hexany]], which do not add any more perfect fifths or decrease the size of the large steps, instead adding extra comma steps of 65/64 between one of the already smaller steps that only increase the amount of dissonance available, making this of little extra value compared to its base form.&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
! 1-5-13-15_Stellated_Hexany.scl&lt;br /&gt;
!&lt;br /&gt;
1 5 13 15 1-3-combination Hexany&lt;br /&gt;
8&lt;br /&gt;
!&lt;br /&gt;
26.841&lt;br /&gt;
274.582&lt;br /&gt;
386.313&lt;br /&gt;
728.796&lt;br /&gt;
840.527&lt;br /&gt;
1088.268&lt;br /&gt;
1115.110&lt;br /&gt;
1200&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Suggested keyboard mapping: C Db Eb E G Ab Bb B C.&lt;br /&gt;
&lt;br /&gt;
[[Category:Hexanies]]&lt;br /&gt;
[[Category:8-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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