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	<id>http://fizzwiki.com/index.php?action=history&amp;feed=atom&amp;title=%22Irrational%22_Time_Signatures</id>
	<title>&quot;Irrational&quot; Time Signatures - Revision history</title>
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	<updated>2026-10-29T02:51:40Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>http://fizzwiki.com/index.php?title=%22Irrational%22_Time_Signatures&amp;diff=1362&amp;oldid=prev</id>
		<title>Lattaio Meimnagaan JS at 12:47, 12 July 2026</title>
		<link rel="alternate" type="text/html" href="http://fizzwiki.com/index.php?title=%22Irrational%22_Time_Signatures&amp;diff=1362&amp;oldid=prev"/>
		<updated>2026-07-12T12:47:53Z</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;
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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 08:47, 12 July 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;&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;[[File:NOT irrational non dyadic time signature.png|thumb|NOT irrational non dyadic time signature]][[File:Non dyadic time signature explanation.png|thumb|Non dyadic time signature explanation]]&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;[[File:NOT irrational non dyadic time signature.png|thumb|NOT irrational non dyadic time signature]][[File:Non dyadic time signature explanation.png|thumb|Non dyadic time signature explanation]]&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;div&gt;&amp;#039;&amp;#039;&amp;#039;&amp;quot;Irrational time signatures&amp;quot;&amp;#039;&amp;#039;&amp;#039; is a popular (and inaccurate) name for &amp;#039;&amp;#039;&amp;#039;non-dyadic time signatures&amp;#039;&amp;#039;&amp;#039; amongst Classical and J*zz musicians.  &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;#039;&amp;#039;&amp;#039;&amp;quot;Irrational time signatures&amp;quot;&amp;#039;&amp;#039;&amp;#039; is a popular (and inaccurate) name for &amp;#039;&amp;#039;&amp;#039;non-dyadic time signatures&amp;#039;&amp;#039;&amp;#039; amongst Classical and J*zz musicians.  &lt;/div&gt;&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;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#039;&#039;&#039;Irrational numbers&#039;&#039;&#039; (ex. √2, π) are numbers that can&#039;t be expressed as a ratio of two integers. In other words, they&#039;re numbers that you &#039;&#039;&#039;can&#039;t write as a fraction&#039;&#039;&#039;. At least that&#039;s what it used to mean before Classical musicians took that meaning and threw it out the window when they redefined them as “Numbers that describe rhythms that make me feel uncomfortable”.&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&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; 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;Non-dyadic time signatures are time signatures with a bottom number that isn’t a power of 2, which means that &#039;&#039;&#039;non-dyadic tuplets (broken tuplets)&#039;&#039;&#039; are a necessary component of them. Wherever there&#039;s a non-dyadic time signature, you&#039;ll also find a non-dyadic tuplet (and vice versa). &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Some have speculated that the scary nickname &lt;/del&gt;Classical musicians gave to “irrational” time signatures reflects their inability to play tuplets correctly. What’s the point of calling it something more accurate if it’s going to sound like sh*t regardless?&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;&#039;&#039;&#039;Irrational numbers&#039;&#039;&#039; (ex. √2, π) are numbers that can&#039;t be expressed as a ratio of two integers. In other words, they&#039;re numbers that you &#039;&#039;&#039;can&#039;t write as a fraction&#039;&#039;&#039;. At least that&#039;s what it used to mean before Classical musicians with fragile minds took that meaning and threw it out the window when they redefined them as “Numbers that describe rhythms that make me feel uncomfortable”.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&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;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&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;Non-dyadic time signatures are time signatures with a bottom number that isn’t a power of 2, which means that &#039;&#039;&#039;non-dyadic &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[&lt;/ins&gt;tuplets&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]] &lt;/ins&gt;(broken tuplets)&#039;&#039;&#039; are a necessary component of them. Wherever there&#039;s a non-dyadic time signature, you&#039;ll also find a non-dyadic tuplet (and vice versa). Classical musicians gave to “irrational” time signatures reflects their inability to play tuplets correctly. What’s the point of calling it something more accurate if it’s going to sound like sh*t regardless?&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;Regular time signatures allow you to write bars whose length is any combination of whole-notes, half-notes, quarter-notes, etc., but non-dyadic time signatures allow you to write bars whose length is any fraction of a whole note. Fractions… weren&amp;#039;t we talking about those things earlier? Oh right.&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;Regular time signatures allow you to write bars whose length is any combination of whole-notes, half-notes, quarter-notes, etc., but non-dyadic time signatures allow you to write bars whose length is any fraction of a whole note. Fractions… weren&amp;#039;t we talking about those things earlier? Oh right.&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;#039;&amp;#039;Disclaimer: It&amp;#039;s appropriate to call a non-dyadic time signature &amp;quot;irrational&amp;quot; if there&amp;#039;s an actual irrational number in it.&amp;#039;&amp;#039;&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;#039;&amp;#039;Disclaimer: It&amp;#039;s appropriate to call a non-dyadic time signature &amp;quot;irrational&amp;quot; if there&amp;#039;s an actual irrational number in it.&amp;#039;&amp;#039;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&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;See also : [[Time Complexity Bias]]&lt;/ins&gt;&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;div&gt;[[Category:Music Theory]]&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;[[Category:Music Theory]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Lattaio Meimnagaan JS</name></author>
	</entry>
	<entry>
		<id>http://fizzwiki.com/index.php?title=%22Irrational%22_Time_Signatures&amp;diff=91&amp;oldid=prev</id>
		<title>Fizzwikiadmin at 06:30, 7 June 2026</title>
		<link rel="alternate" type="text/html" href="http://fizzwiki.com/index.php?title=%22Irrational%22_Time_Signatures&amp;diff=91&amp;oldid=prev"/>
		<updated>2026-06-07T06:30:49Z</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;
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				&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 02:30, 7 June 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:Non dyadic time signature explanation.png|thumb|Non dyadic time signature explanation]]&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:NOT irrational non dyadic time signature.png|thumb|NOT irrational non dyadic time signature]]&lt;/ins&gt;[[File:Non dyadic time signature explanation.png|thumb|Non dyadic time signature explanation]]&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;div&gt;&amp;#039;&amp;#039;&amp;#039;&amp;quot;Irrational time signatures&amp;quot;&amp;#039;&amp;#039;&amp;#039; is a popular (and inaccurate) name for &amp;#039;&amp;#039;&amp;#039;non-dyadic time signatures&amp;#039;&amp;#039;&amp;#039; amongst Classical and J*zz musicians.  &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;#039;&amp;#039;&amp;#039;&amp;quot;Irrational time signatures&amp;quot;&amp;#039;&amp;#039;&amp;#039; is a popular (and inaccurate) name for &amp;#039;&amp;#039;&amp;#039;non-dyadic time signatures&amp;#039;&amp;#039;&amp;#039; amongst Classical and J*zz musicians.  &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;div&gt;&amp;#039;&amp;#039;&amp;#039;Irrational numbers&amp;#039;&amp;#039;&amp;#039; (ex. √2, π) are numbers that can&amp;#039;t be expressed as a ratio of two integers. In other words, they&amp;#039;re numbers that you &amp;#039;&amp;#039;&amp;#039;can&amp;#039;t write as a fraction&amp;#039;&amp;#039;&amp;#039;. At least that&amp;#039;s what it used to mean before Classical musicians took that meaning and threw it out the window when they redefined them as “Numbers that describe rhythms that make me feel uncomfortable”.&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;#039;&amp;#039;&amp;#039;Irrational numbers&amp;#039;&amp;#039;&amp;#039; (ex. √2, π) are numbers that can&amp;#039;t be expressed as a ratio of two integers. In other words, they&amp;#039;re numbers that you &amp;#039;&amp;#039;&amp;#039;can&amp;#039;t write as a fraction&amp;#039;&amp;#039;&amp;#039;. At least that&amp;#039;s what it used to mean before Classical musicians took that meaning and threw it out the window when they redefined them as “Numbers that describe rhythms that make me feel uncomfortable”.&lt;/div&gt;&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-l6&quot;&gt;Line 6:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 6:&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;Regular time signatures allow you to write bars whose length is any combination of whole-notes, half-notes, quarter-notes, etc., but non-dyadic time signatures allow you to write bars whose length is any fraction of a whole note. Fractions… weren&amp;#039;t we talking about those things earlier? Oh right.&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;Regular time signatures allow you to write bars whose length is any combination of whole-notes, half-notes, quarter-notes, etc., but non-dyadic time signatures allow you to write bars whose length is any fraction of a whole note. Fractions… weren&amp;#039;t we talking about those things earlier? Oh right.&lt;/div&gt;&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;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[File:NOT irrational non dyadic time signature.png|thumb|NOT irrational non dyadic time signature]]&lt;/del&gt;&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;/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;div&gt;&amp;#039;&amp;#039;Disclaimer: It&amp;#039;s appropriate to call a non-dyadic time signature &amp;quot;irrational&amp;quot; if there&amp;#039;s an actual irrational number in it.&amp;#039;&amp;#039;&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;#039;&amp;#039;Disclaimer: It&amp;#039;s appropriate to call a non-dyadic time signature &amp;quot;irrational&amp;quot; if there&amp;#039;s an actual irrational number in it.&amp;#039;&amp;#039;&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;div&gt;[[Category:Music Theory]]&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;[[Category:Music Theory]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Fizzwikiadmin</name></author>
	</entry>
	<entry>
		<id>http://fizzwiki.com/index.php?title=%22Irrational%22_Time_Signatures&amp;diff=90&amp;oldid=prev</id>
		<title>Fizzwikiadmin: Created page with &quot;Non dyadic time signature explanation &#039;&#039;&#039;&quot;Irrational time signatures&quot;&#039;&#039;&#039; is a popular (and inaccurate) name for &#039;&#039;&#039;non-dyadic time signatures&#039;&#039;&#039; amongst Classical and J*zz musicians.  &#039;&#039;&#039;Irrational numbers&#039;&#039;&#039; (ex. √2, π) are numbers that can&#039;t be expressed as a ratio of two integers. In other words, they&#039;re numbers that you &#039;&#039;&#039;can&#039;t write as a fraction&#039;&#039;&#039;. At least that&#039;s what it used to mean before Classical mu...&quot;</title>
		<link rel="alternate" type="text/html" href="http://fizzwiki.com/index.php?title=%22Irrational%22_Time_Signatures&amp;diff=90&amp;oldid=prev"/>
		<updated>2026-06-07T06:30:25Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;&lt;a href=&quot;/File:Non_dyadic_time_signature_explanation.png&quot; title=&quot;File:Non dyadic time signature explanation.png&quot;&gt;thumb|Non dyadic time signature explanation&lt;/a&gt; &amp;#039;&amp;#039;&amp;#039;&amp;quot;Irrational time signatures&amp;quot;&amp;#039;&amp;#039;&amp;#039; is a popular (and inaccurate) name for &amp;#039;&amp;#039;&amp;#039;non-dyadic time signatures&amp;#039;&amp;#039;&amp;#039; amongst Classical and J*zz musicians.  &amp;#039;&amp;#039;&amp;#039;Irrational numbers&amp;#039;&amp;#039;&amp;#039; (ex. √2, π) are numbers that can&amp;#039;t be expressed as a ratio of two integers. In other words, they&amp;#039;re numbers that you &amp;#039;&amp;#039;&amp;#039;can&amp;#039;t write as a fraction&amp;#039;&amp;#039;&amp;#039;. At least that&amp;#039;s what it used to mean before Classical mu...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;[[File:Non dyadic time signature explanation.png|thumb|Non dyadic time signature explanation]]&lt;br /&gt;
&amp;#039;&amp;#039;&amp;#039;&amp;quot;Irrational time signatures&amp;quot;&amp;#039;&amp;#039;&amp;#039; is a popular (and inaccurate) name for &amp;#039;&amp;#039;&amp;#039;non-dyadic time signatures&amp;#039;&amp;#039;&amp;#039; amongst Classical and J*zz musicians. &lt;br /&gt;
&amp;#039;&amp;#039;&amp;#039;Irrational numbers&amp;#039;&amp;#039;&amp;#039; (ex. √2, π) are numbers that can&amp;#039;t be expressed as a ratio of two integers. In other words, they&amp;#039;re numbers that you &amp;#039;&amp;#039;&amp;#039;can&amp;#039;t write as a fraction&amp;#039;&amp;#039;&amp;#039;. At least that&amp;#039;s what it used to mean before Classical musicians took that meaning and threw it out the window when they redefined them as “Numbers that describe rhythms that make me feel uncomfortable”.&lt;br /&gt;
&lt;br /&gt;
Non-dyadic time signatures are time signatures with a bottom number that isn’t a power of 2, which means that &amp;#039;&amp;#039;&amp;#039;non-dyadic tuplets (broken tuplets)&amp;#039;&amp;#039;&amp;#039; are a necessary component of them. Wherever there&amp;#039;s a non-dyadic time signature, you&amp;#039;ll also find a non-dyadic tuplet (and vice versa). Some have speculated that the scary nickname Classical musicians gave to “irrational” time signatures reflects their inability to play tuplets correctly. What’s the point of calling it something more accurate if it’s going to sound like sh*t regardless?&lt;br /&gt;
&lt;br /&gt;
Regular time signatures allow you to write bars whose length is any combination of whole-notes, half-notes, quarter-notes, etc., but non-dyadic time signatures allow you to write bars whose length is any fraction of a whole note. Fractions… weren&amp;#039;t we talking about those things earlier? Oh right.&lt;br /&gt;
[[File:NOT irrational non dyadic time signature.png|thumb|NOT irrational non dyadic time signature]]&lt;br /&gt;
&amp;#039;&amp;#039;Disclaimer: It&amp;#039;s appropriate to call a non-dyadic time signature &amp;quot;irrational&amp;quot; if there&amp;#039;s an actual irrational number in it.&amp;#039;&amp;#039;&lt;br /&gt;
[[Category:Music Theory]]&lt;/div&gt;</summary>
		<author><name>Fizzwikiadmin</name></author>
	</entry>
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