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	<id>https://en.xen.wiki/index.php?action=history&amp;feed=atom&amp;title=1-5-9-15_hexany</id>
	<title>1-5-9-15 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=1-5-9-15_hexany"/>
	<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=1-5-9-15_hexany&amp;action=history"/>
	<updated>2026-06-30T10:09:46Z</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=1-5-9-15_hexany&amp;diff=214391&amp;oldid=prev</id>
		<title>Yourmusic Productions: Rotated.</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=1-5-9-15_hexany&amp;diff=214391&amp;oldid=prev"/>
		<updated>2025-10-24T19:41:35Z</updated>

		<summary type="html">&lt;p&gt;Rotated.&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 19:41, 24 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:Hexany 1 5 9 15.png|thumb|Circle diagram.]] A [[5-limit]] [[Hexany]]. This creates a scale of 1 9/8 3/2 27/16 9/5 15/8 2/1, with steps of 9/8 4/3 9/8 16/15 25/24 16/15. Initially, this may seem not particularly useful due to its lopsidedness, but looking closer, the 3/2 gives you a perfect fifth above it to root it, plus a choice of sus2, minor third, major third or sus4 chord, making it the obvious centre of this scale, while the 1/1 and 9/8 also have perfect fifths above them, but lack the same degree of other harmonic resources. This means it is a particularly strong candidate for building [[dekany|dekanies]] with, as in many cases, the extra four notes will fill in the large gap, give the subdominant and dominant chords useful thirds and you can be sure there is always at least one familiar 5-limit major chord to give you a solid place to resolve your music.&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:Hexany 1 5 9 15.png|thumb|Circle diagram &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;(rotated)&lt;/ins&gt;.]] A [[5-limit]] [[Hexany]]. This creates a scale of 1 9/8 3/2 27/16 9/5 15/8 2/1, with steps of 9/8 4/3 9/8 16/15 25/24 16/15. Initially, this may seem not particularly useful due to its lopsidedness, but looking closer, the 3/2 gives you a perfect fifth above it to root it, plus a choice of sus2, minor third, major third or sus4 chord, making it the obvious centre of this scale, while the 1/1 and 9/8 also have perfect fifths above them, but lack the same degree of other harmonic resources. This means it is a particularly strong candidate for building [[dekany|dekanies]] with, as in many cases, the extra four notes will fill in the large gap, give the subdominant and dominant chords useful thirds and you can be sure there is always at least one familiar 5-limit major chord to give you a solid place to resolve your music.&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=1-5-9-15_hexany&amp;diff=211940&amp;oldid=prev</id>
		<title>BudjarnLambeth at 04:38, 5 October 2025</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=1-5-9-15_hexany&amp;diff=211940&amp;oldid=prev"/>
		<updated>2025-10-05T04:38:36Z</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;
				&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 04:38, 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 [[5-limit]] [[Hexany]]. This creates a scale of 1 9/8 3/2 27/16 9/5 15/8 2/1, with steps of 9/8 4/3 9/8 16/15 25/24 16/15. Initially, this may seem not particularly useful due to its lopsidedness, but looking closer, the 3/2 gives you a perfect fifth above it to root it, plus a choice of sus2, minor third, major third or sus4 chord, making it the obvious centre of this scale, while the 1/1 and 9/8 also have perfect fifths above them, but lack the same degree of other harmonic resources. This means it is a particularly strong candidate for building [[dekany|dekanies]] with, as in many cases, the extra four notes will fill in the large gap, give the subdominant and dominant chords useful thirds and you can be sure there is always at least one familiar 5-limit major chord to give you a solid place to resolve your music.&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 15.png|thumb|Circle diagram.]] &lt;/ins&gt;A [[5-limit]] [[Hexany]]. This creates a scale of 1 9/8 3/2 27/16 9/5 15/8 2/1, with steps of 9/8 4/3 9/8 16/15 25/24 16/15. Initially, this may seem not particularly useful due to its lopsidedness, but looking closer, the 3/2 gives you a perfect fifth above it to root it, plus a choice of sus2, minor third, major third or sus4 chord, making it the obvious centre of this scale, while the 1/1 and 9/8 also have perfect fifths above them, but lack the same degree of other harmonic resources. This means it is a particularly strong candidate for building [[dekany|dekanies]] with, as in many cases, the extra four notes will fill in the large gap, give the subdominant and dominant chords useful thirds and you can be sure there is always at least one familiar 5-limit major chord to give you a solid place to resolve your music.&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=1-5-9-15_hexany&amp;diff=208744&amp;oldid=prev</id>
		<title>Yourmusic Productions: Create Page.</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=1-5-9-15_hexany&amp;diff=208744&amp;oldid=prev"/>
		<updated>2025-08-29T17:11:56Z</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 [[5-limit]] [[Hexany]]. This creates a scale of 1 9/8 3/2 27/16 9/5 15/8 2/1, with steps of 9/8 4/3 9/8 16/15 25/24 16/15. Initially, this may seem not particularly useful due to its lopsidedness, but looking closer, the 3/2 gives you a perfect fifth above it to root it, plus a choice of sus2, minor third, major third or sus4 chord, making it the obvious centre of this scale, while the 1/1 and 9/8 also have perfect fifths above them, but lack the same degree of other harmonic resources. This means it is a particularly strong candidate for building [[dekany|dekanies]] with, as in many cases, the extra four notes will fill in the large gap, give the subdominant and dominant chords useful thirds and you can be sure there is always at least one familiar 5-limit major chord to give you a solid place to resolve your music.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
! 1-5-9-15_Hexany.scl&lt;br /&gt;
!&lt;br /&gt;
1 5 9 15 2-combination Hexany&lt;br /&gt;
6&lt;br /&gt;
!&lt;br /&gt;
9/8&lt;br /&gt;
3/2&lt;br /&gt;
27/16&lt;br /&gt;
9/5&lt;br /&gt;
15/8&lt;br /&gt;
2/1&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Suggested keyboard mapping: C D G A Bb B 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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