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	<title>27th-octave temperaments - Revision history</title>
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	<updated>2026-06-09T22:39:46Z</updated>
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	<entry>
		<id>https://en.xen.wiki/index.php?title=27th-octave_temperaments&amp;diff=224579&amp;oldid=prev</id>
		<title>Xenllium: Created page with &quot;{{Technical data page}} {{Infobox fractional-octave|27}} All temperaments on this page have a period that is 1/27th of an octave. However, the {{monzo| -43 27 }} comma is not tempered out. Thus the 3/2 is not that of 27edo. However, 27edo is has some close approximations including 20/19, 39/38, and 70/57.  Temperaments discussed elsewhere include trinealimmal.  == Cobalt == {{see also| Starling temperaments #Coba...&quot;</title>
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		<updated>2026-02-23T03:04:07Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;{{Technical data page}} {{Infobox fractional-octave|27}} All temperaments on this page have a period that is &lt;a href=&quot;/w/Fractional-octave_temperaments&quot; title=&quot;Fractional-octave temperaments&quot;&gt;1/27th of an octave&lt;/a&gt;. However, the {{monzo| -43 27 }} comma is not tempered out. Thus the 3/2 is not that of &lt;a href=&quot;/w/27edo&quot; title=&quot;27edo&quot;&gt;27edo&lt;/a&gt;. However, &lt;a href=&quot;/w/27edo&quot; title=&quot;27edo&quot;&gt;27edo&lt;/a&gt; is has some close approximations including &lt;a href=&quot;/w/20/19&quot; title=&quot;20/19&quot;&gt;20/19&lt;/a&gt;, &lt;a href=&quot;/w/39/38&quot; title=&quot;39/38&quot;&gt;39/38&lt;/a&gt;, and &lt;a href=&quot;/index.php?title=70/57&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;70/57 (page does not exist)&quot;&gt;70/57&lt;/a&gt;.  Temperaments discussed elsewhere include &lt;a href=&quot;/w/Trinealimmal&quot; class=&quot;mw-redirect&quot; title=&quot;Trinealimmal&quot;&gt;trinealimmal&lt;/a&gt;.  == Cobalt == {{see also| Starling temperaments #Coba...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{Technical data page}}&lt;br /&gt;
{{Infobox fractional-octave|27}}&lt;br /&gt;
All temperaments on this page have a period that is [[Fractional-octave temperaments|1/27th of an octave]]. However, the {{monzo| -43 27 }} comma is not tempered out. Thus the 3/2 is not that of [[27edo]]. However, [[27edo]] is has some close approximations including [[20/19]], [[39/38]], and [[70/57]].&lt;br /&gt;
&lt;br /&gt;
Temperaments discussed elsewhere include [[trinealimmal]].&lt;br /&gt;
&lt;br /&gt;
== Cobalt ==&lt;br /&gt;
{{see also| Starling temperaments #Cobalt }}&lt;br /&gt;
&lt;br /&gt;
[[Subgroup]]: 2.3.5&lt;br /&gt;
&lt;br /&gt;
[[Comma list]]: {{monzo|20 27 -27}}&lt;br /&gt;
&lt;br /&gt;
[[Mapping]]: [{{val|27 0 20}}, {{val|0 1 1}}]&lt;br /&gt;
&lt;br /&gt;
: mapping generators: ~648/625 , ~3&lt;br /&gt;
&lt;br /&gt;
[[Optimal tuning]]s: &lt;br /&gt;
* [[CTE]]: ~648/625 = 44.444{{c}} (1\27), ~3/2 = 700.515{{c}}&lt;br /&gt;
* [[CWE]]: ~648/625 = 44.444{{c}} (1\27), ~3/2 = 702.887{{c}}&lt;br /&gt;
&lt;br /&gt;
{{Optimal ET sequence|legend=1|27, 81, 108}}&lt;br /&gt;
&lt;br /&gt;
[[Badness]] (Sintel): 98.529&lt;br /&gt;
&lt;br /&gt;
{{Navbox fractional-octave}}&lt;br /&gt;
&lt;br /&gt;
[[Category:27edo]]&lt;/div&gt;</summary>
		<author><name>Xenllium</name></author>
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