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	<title>List of superparticular intervals/67-limit - Revision history</title>
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	<updated>2026-06-28T13:04:28Z</updated>
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		<id>https://en.xen.wiki/index.php?title=List_of_superparticular_intervals/67-limit&amp;diff=224082&amp;oldid=prev</id>
		<title>FloraC: Created page with &quot;{{Breadcrumb}}  == 67-limit (incomplete) == {| class=&quot;wikitable center-6&quot; style=&quot;width:100%&quot; ! width=&quot;10%&quot; | Ratio ! width=&quot;10%&quot; | Cents ! width=&quot;15%&quot; | Factorization ! width=&quot;15%&quot; | Monzo ! width=&quot;45%&quot; | Name(s) ! width=&quot;5%&quot; | Meta&lt;ref name=&quot;ssp&quot;&gt;Denoted by S-expressions, where s&#039;&#039;k&#039;&#039; is defined as (&#039;&#039;k&#039;&#039;/(&#039;&#039;k&#039;&#039; - 1))/((&#039;&#039;k&#039;&#039; + 1)/&#039;&#039;k&#039;&#039;). See square superparticular for details.&lt;/ref&gt; |- | 67/66 | 26.034 | 67/(2×3×11) | 2.3.11.67 {{monzo| -1 -1 -1 1...&quot;</title>
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		<updated>2026-02-15T13:44:53Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;{{Breadcrumb}}  == 67-limit (incomplete) == {| class=&amp;quot;wikitable center-6&amp;quot; style=&amp;quot;width:100%&amp;quot; ! width=&amp;quot;10%&amp;quot; | &lt;a href=&quot;/w/Ratio&quot; class=&quot;mw-redirect&quot; title=&quot;Ratio&quot;&gt;Ratio&lt;/a&gt; ! width=&amp;quot;10%&amp;quot; | &lt;a href=&quot;/w/Cent&quot; title=&quot;Cent&quot;&gt;Cents&lt;/a&gt; ! width=&amp;quot;15%&amp;quot; | Factorization ! width=&amp;quot;15%&amp;quot; | &lt;a href=&quot;/w/Monzo&quot; title=&quot;Monzo&quot;&gt;Monzo&lt;/a&gt; ! width=&amp;quot;45%&amp;quot; | Name(s) ! width=&amp;quot;5%&amp;quot; | Meta&amp;lt;ref name=&amp;quot;ssp&amp;quot;&amp;gt;Denoted by S-expressions, where s&amp;#039;&amp;#039;k&amp;#039;&amp;#039; is defined as (&amp;#039;&amp;#039;k&amp;#039;&amp;#039;/(&amp;#039;&amp;#039;k&amp;#039;&amp;#039; - 1))/((&amp;#039;&amp;#039;k&amp;#039;&amp;#039; + 1)/&amp;#039;&amp;#039;k&amp;#039;&amp;#039;). See &lt;a href=&quot;/w/Square_superparticular&quot; class=&quot;mw-redirect&quot; title=&quot;Square superparticular&quot;&gt;square superparticular&lt;/a&gt; for details.&amp;lt;/ref&amp;gt; |- | &lt;a href=&quot;/index.php?title=67/66&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;67/66 (page does not exist)&quot;&gt;67/66&lt;/a&gt; | 26.034 | 67/(2×3×11) | 2.3.11.67 {{monzo| -1 -1 -1 1...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{Breadcrumb}}&lt;br /&gt;
&lt;br /&gt;
== 67-limit (incomplete) ==&lt;br /&gt;
{| class=&amp;quot;wikitable center-6&amp;quot; style=&amp;quot;width:100%&amp;quot;&lt;br /&gt;
! width=&amp;quot;10%&amp;quot; | [[Ratio]]&lt;br /&gt;
! width=&amp;quot;10%&amp;quot; | [[Cent]]s&lt;br /&gt;
! width=&amp;quot;15%&amp;quot; | Factorization&lt;br /&gt;
! width=&amp;quot;15%&amp;quot; | [[Monzo]]&lt;br /&gt;
! width=&amp;quot;45%&amp;quot; | Name(s)&lt;br /&gt;
! width=&amp;quot;5%&amp;quot; | Meta&amp;lt;ref name=&amp;quot;ssp&amp;quot;&amp;gt;Denoted by S-expressions, where s&amp;#039;&amp;#039;k&amp;#039;&amp;#039; is defined as (&amp;#039;&amp;#039;k&amp;#039;&amp;#039;/(&amp;#039;&amp;#039;k&amp;#039;&amp;#039; - 1))/((&amp;#039;&amp;#039;k&amp;#039;&amp;#039; + 1)/&amp;#039;&amp;#039;k&amp;#039;&amp;#039;). See [[square superparticular]] for details.&amp;lt;/ref&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
| [[67/66]]&lt;br /&gt;
| 26.034&lt;br /&gt;
| 67/(2×3×11)&lt;br /&gt;
| 2.3.11.67 {{monzo| -1 -1 -1 1 }}&lt;br /&gt;
| &lt;br /&gt;
| &lt;br /&gt;
|-&lt;br /&gt;
| [[68/67]]&lt;br /&gt;
| 25.648&lt;br /&gt;
| (2&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;×17)/67&lt;br /&gt;
| 2.17.67 {{monzo| 2 1 -1 }}&lt;br /&gt;
| &lt;br /&gt;
| &lt;br /&gt;
|-&lt;br /&gt;
| [[134/133]]&lt;br /&gt;
| 12.968&lt;br /&gt;
| (2×67)/(7×19)&lt;br /&gt;
| 2.7.19.67 {{monzo| 1 -1 -1 1 }}&lt;br /&gt;
| &lt;br /&gt;
| &lt;br /&gt;
|-&lt;br /&gt;
| [[135/134]]&lt;br /&gt;
| 12.872&lt;br /&gt;
| (3&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;×5)/(2×67)&lt;br /&gt;
| 2.3.5.67 {{monzo| -1 3 1 -1 }}&lt;br /&gt;
| &lt;br /&gt;
| &lt;br /&gt;
|-&lt;br /&gt;
| [[201/200]]&lt;br /&gt;
| 8.6346&lt;br /&gt;
| (3×67)/(2&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;×5&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;)&lt;br /&gt;
| 2.3.5.67 {{monzo| -3 1 -2 1 }}&lt;br /&gt;
| &lt;br /&gt;
| &lt;br /&gt;
|-&lt;br /&gt;
| [[336/335]]&lt;br /&gt;
| 5.1602&lt;br /&gt;
| (2&amp;lt;sup&amp;gt;4&amp;lt;/sup&amp;gt;×3×7)/(5×67)&lt;br /&gt;
| 2.3.5.7.67 {{monzo| 4 1 -1 1 -1 }}&lt;br /&gt;
| &lt;br /&gt;
| &lt;br /&gt;
|-&lt;br /&gt;
| [[671/670]]&lt;br /&gt;
| 2.5820&lt;br /&gt;
| (11×61)/(2×5×67)&lt;br /&gt;
| 2.5.11.61.67 {{monzo| -1 -1 1 1 -1 }}&lt;br /&gt;
| &lt;br /&gt;
| &lt;br /&gt;
|-&lt;br /&gt;
| [[4489/4488]]&lt;br /&gt;
| 0.38570&lt;br /&gt;
| 67&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;/(2&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;×3×11×17)&lt;br /&gt;
| 2.3.11.17.67 {{monzo| -3 -1 -1 -1 2 }}&lt;br /&gt;
| &lt;br /&gt;
| S67&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Notes ==&lt;br /&gt;
&amp;lt;references/&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Category:Lists of intervals]]&lt;br /&gt;
[[Category:Superparticular ratios|*]]&lt;/div&gt;</summary>
		<author><name>FloraC</name></author>
	</entry>
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