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	<id>https://en.xen.wiki/index.php?action=history&amp;feed=atom&amp;title=1-3-11-15_by_6%2F5_bihexany</id>
	<title>1-3-11-15 by 6/5 bihexany - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://en.xen.wiki/index.php?action=history&amp;feed=atom&amp;title=1-3-11-15_by_6%2F5_bihexany"/>
	<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=1-3-11-15_by_6/5_bihexany&amp;action=history"/>
	<updated>2026-07-04T12:04:10Z</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=1-3-11-15_by_6/5_bihexany&amp;diff=214233&amp;oldid=prev</id>
		<title>Yourmusic Productions: Linking.</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=1-3-11-15_by_6/5_bihexany&amp;diff=214233&amp;oldid=prev"/>
		<updated>2025-10-23T08:51:30Z</updated>

		<summary type="html">&lt;p&gt;Linking.&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 08:51, 23 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-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:1-3-11-15_by_6-5_Bihexany.png|thumb|Circle diagram.]] A [[15-odd-limit]] [[bihexany]]. This creates a scale of 1 33/32 11/10 9/8 6/5 5/4 11/8 3/2 33/20 55/32 11/6 15/8 2/1, with steps of 33/32 16/15 45/44 16/15 25/24 11/10 12/11 11/10 25/24 16/15 45/44 16/15. This fills in the gaps in the base hexany quite effectively, keeping the size of the smallest step the same while reducing the largest one to 11/10, for a ratio of 4.24:1 and adding multiple 5-limit major &amp;amp; minor chords, although there is still noticable clustering 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:1-3-11-15_by_6-5_Bihexany.png|thumb|Circle diagram.]] A [[15-odd-limit]] [[bihexany]]. This creates a scale of 1 33/32 11/10 9/8 6/5 5/4 11/8 3/2 33/20 55/32 11/6 15/8 2/1, with steps of 33/32 16/15 45/44 16/15 25/24 11/10 12/11 11/10 25/24 16/15 45/44 16/15. This fills in the gaps in the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[1-3-11-15_hexany|&lt;/ins&gt;base hexany&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]] &lt;/ins&gt;quite effectively, keeping the size of the smallest step the same while reducing the largest one to 11/10, for a ratio of 4.24:1 and adding multiple 5-limit major &amp;amp; minor chords, although there is still noticable clustering 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;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;! 1-3-11-15_by_6/5_Bihexany.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;! 1-3-11-15_by_6/5_Bihexany.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=1-3-11-15_by_6/5_bihexany&amp;diff=214230&amp;oldid=prev</id>
		<title>Yourmusic Productions: Create Page.</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=1-3-11-15_by_6/5_bihexany&amp;diff=214230&amp;oldid=prev"/>
		<updated>2025-10-23T08:50:07Z</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:1-3-11-15_by_6-5_Bihexany.png|thumb|Circle diagram.]] A [[15-odd-limit]] [[bihexany]]. This creates a scale of 1 33/32 11/10 9/8 6/5 5/4 11/8 3/2 33/20 55/32 11/6 15/8 2/1, with steps of 33/32 16/15 45/44 16/15 25/24 11/10 12/11 11/10 25/24 16/15 45/44 16/15. This fills in the gaps in the base hexany quite effectively, keeping the size of the smallest step the same while reducing the largest one to 11/10, for a ratio of 4.24:1 and adding multiple 5-limit major &amp;amp; minor chords, although there is still noticable clustering on one side of the scale.&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
! 1-3-11-15_by_6/5_Bihexany.scl&lt;br /&gt;
!&lt;br /&gt;
1 3 11 15 by 6/5 2-combination Bihexany&lt;br /&gt;
12&lt;br /&gt;
!&lt;br /&gt;
53.272&lt;br /&gt;
165.004&lt;br /&gt;
203.910&lt;br /&gt;
315.641&lt;br /&gt;
386.313&lt;br /&gt;
551.317&lt;br /&gt;
701.955&lt;br /&gt;
866.959&lt;br /&gt;
937.631&lt;br /&gt;
1049.362&lt;br /&gt;
1088.268&lt;br /&gt;
1200&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Category:Hexanies]]&lt;br /&gt;
[[Category:12-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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