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	<id>https://en.xen.wiki/index.php?action=history&amp;feed=atom&amp;title=1-3-5-45_hexany</id>
	<title>1-3-5-45 hexany - Revision history</title>
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	<updated>2026-06-30T13:56:14Z</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=1-3-5-45_hexany&amp;diff=211949&amp;oldid=prev</id>
		<title>BudjarnLambeth at 04:47, 5 October 2025</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=1-3-5-45_hexany&amp;diff=211949&amp;oldid=prev"/>
		<updated>2025-10-05T04:47:37Z</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 04:47, 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]] comprised of three simple numbers and one more complex one. This creates a scale of 1 75/64 5/4 45/32 5/3 15/8 2/1, with steps of 75/64 16/15 9/8 32/27 9/8 16/15. Although the individual steps aren&#039;t far from 12edo ones and there are three notes with perfect fifths above them arranged in a I IV V pattern, the chord sequences created sound nothing like those of the diatonic scale, with the 5/4 only having sus2 &amp;amp; sus4 chords, the 5/3 having minor &amp;amp; diminished ones and the 15/8 having a major &amp;amp; sus4 chord above it. That gives this scale strong xenharmonic compositional potential, particularly when expanded out into a dekany with an additional prime. Also of note is that it can play all of the ocarina melodies from the Legend of Zelda: Ocarina of time &amp;amp; Majora&#039;s Mask, presenting the possibility of reharmonising music from those games in a just intonation format.&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 3 5 45.png|thumb|Circle diagram (rotated).]] &lt;/ins&gt;A [[5-limit]] [[Hexany]] comprised of three simple numbers and one more complex one. This creates a scale of 1 75/64 5/4 45/32 5/3 15/8 2/1, with steps of 75/64 16/15 9/8 32/27 9/8 16/15. Although the individual steps aren&#039;t far from 12edo ones and there are three notes with perfect fifths above them arranged in a I IV V pattern, the chord sequences created sound nothing like those of the diatonic scale, with the 5/4 only having sus2 &amp;amp; sus4 chords, the 5/3 having minor &amp;amp; diminished ones and the 15/8 having a major &amp;amp; sus4 chord above it. That gives this scale strong xenharmonic compositional potential, particularly when expanded out into a dekany with an additional prime. Also of note is that it can play all of the ocarina melodies from the Legend of Zelda: Ocarina of time &amp;amp; Majora&#039;s Mask, presenting the possibility of reharmonising music from those games in a just intonation format.&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=1-3-5-45_hexany&amp;diff=207523&amp;oldid=prev</id>
		<title>Yourmusic Productions: Create Page.</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=1-3-5-45_hexany&amp;diff=207523&amp;oldid=prev"/>
		<updated>2025-08-19T09:14:02Z</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]] comprised of three simple numbers and one more complex one. This creates a scale of 1 75/64 5/4 45/32 5/3 15/8 2/1, with steps of 75/64 16/15 9/8 32/27 9/8 16/15. Although the individual steps aren&amp;#039;t far from 12edo ones and there are three notes with perfect fifths above them arranged in a I IV V pattern, the chord sequences created sound nothing like those of the diatonic scale, with the 5/4 only having sus2 &amp;amp; sus4 chords, the 5/3 having minor &amp;amp; diminished ones and the 15/8 having a major &amp;amp; sus4 chord above it. That gives this scale strong xenharmonic compositional potential, particularly when expanded out into a dekany with an additional prime. Also of note is that it can play all of the ocarina melodies from the Legend of Zelda: Ocarina of time &amp;amp; Majora&amp;#039;s Mask, presenting the possibility of reharmonising music from those games in a just intonation format.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
! 1-3-5-45_Hexany.scl&lt;br /&gt;
!&lt;br /&gt;
1 3 5 45 2-combination Hexany&lt;br /&gt;
6&lt;br /&gt;
!&lt;br /&gt;
75/64&lt;br /&gt;
5/4&lt;br /&gt;
45/32&lt;br /&gt;
5/3&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: F G# A B D E F&lt;br /&gt;
&lt;br /&gt;
== Music ==&lt;br /&gt;
; [[Marcus Hobbs]]&lt;br /&gt;
* &amp;#039;&amp;#039;[https://www.youtube.com/watch?v=pEiCErKNCBM 20180526 aks1 demo 060bpm 00 Hexany(1, 3, 5, 45)]&amp;#039;&amp;#039;&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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