<?xml version="1.0"?>
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	<id>https://en.xen.wiki/index.php?action=history&amp;feed=atom&amp;title=1-5-9-13_hexany</id>
	<title>1-5-9-13 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=1-5-9-13_hexany"/>
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	<updated>2026-06-11T06:05:54Z</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=1-5-9-13_hexany&amp;diff=211911&amp;oldid=prev</id>
		<title>BudjarnLambeth at 03:06, 5 October 2025</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=1-5-9-13_hexany&amp;diff=211911&amp;oldid=prev"/>
		<updated>2025-10-05T03:06:28Z</updated>

		<summary type="html">&lt;p&gt;&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;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 03:06, 5 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;A [[13-odd-limit]] [[Hexany]] with equal distance between each of its numerators. This creates a scale of 1 9/8 13/10 117/80 13/8 9/5 2/1, with steps of 9/8 52/45 9/8 10/9 72/65 10/9. This is essentially a sharp-trending whole tone scale, with a ratio of approximately 10:7 between its largest and smallest steps. This makes it quite easy to create bihexanies with that do not have any intervals too small to be melodically useful.&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;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[File:Hexany 1 5 9 13.png|thumb|Circle diagram (rotated).]] &lt;/ins&gt;A [[13-odd-limit]] [[Hexany]] with equal distance between each of its numerators. This creates a scale of 1 9/8 13/10 117/80 13/8 9/5 2/1, with steps of 9/8 52/45 9/8 10/9 72/65 10/9. This is essentially a sharp-trending whole tone scale, with a ratio of approximately 10:7 between its largest and smallest steps. This makes it quite easy to create bihexanies with that do not have any intervals too small to be melodically useful.&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>BudjarnLambeth</name></author>
	</entry>
	<entry>
		<id>https://en.xen.wiki/index.php?title=1-5-9-13_hexany&amp;diff=210935&amp;oldid=prev</id>
		<title>Yourmusic Productions: Create Page.</title>
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		<updated>2025-09-26T09:17:58Z</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;A [[13-odd-limit]] [[Hexany]] with equal distance between each of its numerators. This creates a scale of 1 9/8 13/10 117/80 13/8 9/5 2/1, with steps of 9/8 52/45 9/8 10/9 72/65 10/9. This is essentially a sharp-trending whole tone scale, with a ratio of approximately 10:7 between its largest and smallest steps. This makes it quite easy to create bihexanies with that do not have any intervals too small to be melodically useful.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
! 1-5-9-13_Hexany.scl&lt;br /&gt;
!&lt;br /&gt;
1 5 9 13 2-combination Hexany&lt;br /&gt;
6&lt;br /&gt;
!&lt;br /&gt;
203.910&lt;br /&gt;
454.213&lt;br /&gt;
658.123&lt;br /&gt;
840.527&lt;br /&gt;
1017.596&lt;br /&gt;
1200&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Suggested keyboard mapping: C D E F# G# A# C.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Category:Hexanies]]&lt;br /&gt;
[[Category:6-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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