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	<id>https://en.xen.wiki/index.php?action=history&amp;feed=atom&amp;title=3-5-7-15_by_11%2F7_bihexany</id>
	<title>3-5-7-15 by 11/7 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=3-5-7-15_by_11%2F7_bihexany"/>
	<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=3-5-7-15_by_11/7_bihexany&amp;action=history"/>
	<updated>2026-07-03T07:09:39Z</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=3-5-7-15_by_11/7_bihexany&amp;diff=216398&amp;oldid=prev</id>
		<title>Yourmusic Productions: prime limit</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=3-5-7-15_by_11/7_bihexany&amp;diff=216398&amp;oldid=prev"/>
		<updated>2025-11-07T17:11:05Z</updated>

		<summary type="html">&lt;p&gt;prime limit&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;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 17:11, 7 November 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:3-5-7-15_by_11-7_Bihexany.png|thumb|Circle diagram.]] An 11-limit [[bihexany]]. This creates a scale of 1 11/10 7/6 33/28 5/4  11/8 7/5 3/2 11/7 7/4 11/6 55/28 2/1, with steps of 11/10 35/33 99/98 35/33 11/10 56/55 15/14 22/21 49/44 22/21 15/14 56/55. As half of the notes in the [[3-5-7-15_hexany|base hexany]] have 7 as the numerator, offsetting them by this number converts them to undecimal intervals while still keeping the ratios as simple as possible, although some of the individual steps that result are smaller than optimal.  &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:3-5-7-15_by_11-7_Bihexany.png|thumb|Circle diagram.]] An &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[&lt;/ins&gt;11-limit&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]] &lt;/ins&gt;[[bihexany]]. This creates a scale of 1 11/10 7/6 33/28 5/4  11/8 7/5 3/2 11/7 7/4 11/6 55/28 2/1, with steps of 11/10 35/33 99/98 35/33 11/10 56/55 15/14 22/21 49/44 22/21 15/14 56/55. As half of the notes in the [[3-5-7-15_hexany|base hexany]] have 7 as the numerator, offsetting them by this number converts them to undecimal intervals while still keeping the ratios as simple as possible, although some of the individual steps that result are smaller than optimal.  &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=3-5-7-15_by_11/7_bihexany&amp;diff=216378&amp;oldid=prev</id>
		<title>Yourmusic Productions: Create Page.</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=3-5-7-15_by_11/7_bihexany&amp;diff=216378&amp;oldid=prev"/>
		<updated>2025-11-07T13:54:33Z</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:3-5-7-15_by_11-7_Bihexany.png|thumb|Circle diagram.]] An 11-limit [[bihexany]]. This creates a scale of 1 11/10 7/6 33/28 5/4  11/8 7/5 3/2 11/7 7/4 11/6 55/28 2/1, with steps of 11/10 35/33 99/98 35/33 11/10 56/55 15/14 22/21 49/44 22/21 15/14 56/55. As half of the notes in the [[3-5-7-15_hexany|base hexany]] have 7 as the numerator, offsetting them by this number converts them to undecimal intervals while still keeping the ratios as simple as possible, although some of the individual steps that result are smaller than optimal. &lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
! 3-5-7-15_by_11/7_Hexany.scl&lt;br /&gt;
!&lt;br /&gt;
3 5 7 15 by 11/7 2-combination Hexany&lt;br /&gt;
12&lt;br /&gt;
!&lt;br /&gt;
165.004&lt;br /&gt;
266.871&lt;br /&gt;
284.447&lt;br /&gt;
386.313&lt;br /&gt;
551.317&lt;br /&gt;
582.512&lt;br /&gt;
701.955&lt;br /&gt;
782.492&lt;br /&gt;
968.825&lt;br /&gt;
1049.362&lt;br /&gt;
1168.805&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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