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	<id>https://en.xen.wiki/index.php?action=history&amp;feed=atom&amp;title=1-3-5-7_by_10%2F7_bihexany</id>
	<title>1-3-5-7 by 10/7 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=1-3-5-7_by_10%2F7_bihexany"/>
	<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=1-3-5-7_by_10/7_bihexany&amp;action=history"/>
	<updated>2026-08-04T05:58:51Z</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=1-3-5-7_by_10/7_bihexany&amp;diff=221436&amp;oldid=prev</id>
		<title>Yourmusic Productions: linkback</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=1-3-5-7_by_10/7_bihexany&amp;diff=221436&amp;oldid=prev"/>
		<updated>2026-01-13T08:50:28Z</updated>

		<summary type="html">&lt;p&gt;linkback&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;
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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 08:50, 13 January 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:1-3-5-7_by_10-7_Bihexany.png|thumb|Circle diagram.]] [[File:1-3-5-7_by_10-7_Bihexany_(rotated).png|thumb|Circle diagram. (rotated)]] Two copies of the simplest possible [[Hexany]], offset by a septimal tritone. This creates a scale of 1 25/24 7/6 25/21 5/4 10/7 35/24 5/3 7/4 25/14 2/1, with steps of 25/24 28/25 50/49 21/20 8/7 49/48 8/7 21/20 50/49 28/25. This is a particularly weak way of expanding out the base hexany, as not only are two notes duplicated, there are many more created which are close to the existing ones, only mildly reducing the size of the largest steps. This scale is only really useful if actively pursuing dissonance and tonal confusion is your goal, as while it does have three perfect fifths, they are almost exactly 600 cents apart from one-another, giving you no functional chord sequences to work with.&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:1-3-5-7_by_10-7_Bihexany.png|thumb|Circle diagram.]] [[File:1-3-5-7_by_10-7_Bihexany_(rotated).png|thumb|Circle diagram. (rotated)]] Two copies of the simplest possible [[Hexany]], offset by a septimal tritone. This creates a scale of 1 25/24 7/6 25/21 5/4 10/7 35/24 5/3 7/4 25/14 2/1, with steps of 25/24 28/25 50/49 21/20 8/7 49/48 8/7 21/20 50/49 28/25. This is a particularly weak way of expanding out the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[1-3-5-7 hexany|&lt;/ins&gt;base hexany&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]]&lt;/ins&gt;, as not only are two notes duplicated, there are many more created which are close to the existing ones, only mildly reducing the size of the largest steps. This scale is only really useful if actively pursuing dissonance and tonal confusion is your goal, as while it does have three perfect fifths, they are almost exactly 600 cents apart from one-another, giving you no functional chord sequences to work with.&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=1-3-5-7_by_10/7_bihexany&amp;diff=221435&amp;oldid=prev</id>
		<title>Yourmusic Productions: Create Page.</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=1-3-5-7_by_10/7_bihexany&amp;diff=221435&amp;oldid=prev"/>
		<updated>2026-01-13T08:49:17Z</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:1-3-5-7_by_10-7_Bihexany.png|thumb|Circle diagram.]] [[File:1-3-5-7_by_10-7_Bihexany_(rotated).png|thumb|Circle diagram. (rotated)]] Two copies of the simplest possible [[Hexany]], offset by a septimal tritone. This creates a scale of 1 25/24 7/6 25/21 5/4 10/7 35/24 5/3 7/4 25/14 2/1, with steps of 25/24 28/25 50/49 21/20 8/7 49/48 8/7 21/20 50/49 28/25. This is a particularly weak way of expanding out the base hexany, as not only are two notes duplicated, there are many more created which are close to the existing ones, only mildly reducing the size of the largest steps. This scale is only really useful if actively pursuing dissonance and tonal confusion is your goal, as while it does have three perfect fifths, they are almost exactly 600 cents apart from one-another, giving you no functional chord sequences to work with.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
! 1-3-5-7_by_10/7_Bihexany.scl&lt;br /&gt;
!&lt;br /&gt;
1 3 5 7 by 10/7 2-combination Bihexany&lt;br /&gt;
10&lt;br /&gt;
!&lt;br /&gt;
70.672&lt;br /&gt;
266.871&lt;br /&gt;
301.846&lt;br /&gt;
386.313&lt;br /&gt;
617.487&lt;br /&gt;
653.184&lt;br /&gt;
884.358&lt;br /&gt;
968.825&lt;br /&gt;
&lt;br /&gt;
1200&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Suggested keyboard mapping: F F# G G# A B C D D# E F&lt;br /&gt;
&lt;br /&gt;
[[Category:Hexanies]]&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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