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	<id>https://wiki.lilypond.community/index.php?action=history&amp;feed=atom&amp;title=Irrational_time_signatures_for_metric_modulation</id>
	<title>Irrational time signatures for metric modulation - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://wiki.lilypond.community/index.php?action=history&amp;feed=atom&amp;title=Irrational_time_signatures_for_metric_modulation"/>
	<link rel="alternate" type="text/html" href="https://wiki.lilypond.community/index.php?title=Irrational_time_signatures_for_metric_modulation&amp;action=history"/>
	<updated>2026-06-19T09:45:01Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
	<generator>MediaWiki 1.44.2</generator>
	<entry>
		<id>https://wiki.lilypond.community/index.php?title=Irrational_time_signatures_for_metric_modulation&amp;diff=4854&amp;oldid=prev</id>
		<title>Lemzwerg: New category</title>
		<link rel="alternate" type="text/html" href="https://wiki.lilypond.community/index.php?title=Irrational_time_signatures_for_metric_modulation&amp;diff=4854&amp;oldid=prev"/>
		<updated>2025-11-21T23:33:56Z</updated>

		<summary type="html">&lt;p&gt;New category&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 23:33, 21 November 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-l40&quot;&gt;Line 40:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 40:&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;[[Category:Contemporary notation]]&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:Contemporary notation]]&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;[[Category:Rhythms]][[Category:Snippet]]&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;[[Category:Rhythms]]&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;[[Category:Snippet]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Lemzwerg</name></author>
	</entry>
	<entry>
		<id>https://wiki.lilypond.community/index.php?title=Irrational_time_signatures_for_metric_modulation&amp;diff=3604&amp;oldid=prev</id>
		<title>Lemzwerg at 22:55, 21 November 2025</title>
		<link rel="alternate" type="text/html" href="https://wiki.lilypond.community/index.php?title=Irrational_time_signatures_for_metric_modulation&amp;diff=3604&amp;oldid=prev"/>
		<updated>2025-11-21T22:55:07Z</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 22:55, 21 November 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-l40&quot;&gt;Line 40:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 40:&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;[[Category:Contemporary notation]]&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:Contemporary notation]]&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;[[Category:Rhythms]]&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;[[Category:Rhythms&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]][[Category:Snippet&lt;/ins&gt;]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Lemzwerg</name></author>
	</entry>
	<entry>
		<id>https://wiki.lilypond.community/index.php?title=Irrational_time_signatures_for_metric_modulation&amp;diff=2626&amp;oldid=prev</id>
		<title>Jean Abou Samra: Replace version=&quot;2.24.0&quot; with version=&quot;2.24&quot; now that the LilyWiki extension supports auto-selecting the latest release in a stable series</title>
		<link rel="alternate" type="text/html" href="https://wiki.lilypond.community/index.php?title=Irrational_time_signatures_for_metric_modulation&amp;diff=2626&amp;oldid=prev"/>
		<updated>2025-11-16T18:53:22Z</updated>

		<summary type="html">&lt;p&gt;Replace version=&amp;quot;2.24.0&amp;quot; with version=&amp;quot;2.24&amp;quot; now that the LilyWiki extension supports auto-selecting the latest release in a stable series&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 18:53, 16 November 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;&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;Time signatures with denominators that are not powers of two can be used easily in LilyPond, by setting the time signatures you want and scaling the rhythmic value by the appropriate amount. The scaling fraction involves a denominator that is the same as that of the time signature and a numerator that is of the appropriate fractional relationship for the time signature. For instance, since seven divisions of the whole note would be written as with seven notes resembling quarters, the scaling fraction for seventh measures would be 4/7. LilyPond correctly produces MIDI files for these time signatures; uncomment the \midi line to check this.&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;Time signatures with denominators that are not powers of two can be used easily in LilyPond, by setting the time signatures you want and scaling the rhythmic value by the appropriate amount. The scaling fraction involves a denominator that is the same as that of the time signature and a numerator that is of the appropriate fractional relationship for the time signature. For instance, since seven divisions of the whole note would be written as with seven notes resembling quarters, the scaling fraction for seventh measures would be 4/7. LilyPond correctly produces MIDI files for these time signatures; uncomment the \midi line to check this.&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; 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;&amp;lt;lilypond version=&quot;2.24&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;.0&lt;/del&gt;&quot;&amp;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;&amp;lt;lilypond version=&quot;2.24&quot;&amp;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;%% http://lsr.di.unimi.it/LSR/Item?id=552&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;%% http://lsr.di.unimi.it/LSR/Item?id=552&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;/table&gt;</summary>
		<author><name>Jean Abou Samra</name></author>
	</entry>
	<entry>
		<id>https://wiki.lilypond.community/index.php?title=Irrational_time_signatures_for_metric_modulation&amp;diff=527&amp;oldid=prev</id>
		<title>Jean Abou Samra: Import snippet from LSR</title>
		<link rel="alternate" type="text/html" href="https://wiki.lilypond.community/index.php?title=Irrational_time_signatures_for_metric_modulation&amp;diff=527&amp;oldid=prev"/>
		<updated>2025-10-26T22:43:35Z</updated>

		<summary type="html">&lt;p&gt;Import snippet from LSR&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;Time signatures with denominators that are not powers of two can be used easily in LilyPond, by setting the time signatures you want and scaling the rhythmic value by the appropriate amount. The scaling fraction involves a denominator that is the same as that of the time signature and a numerator that is of the appropriate fractional relationship for the time signature. For instance, since seven divisions of the whole note would be written as with seven notes resembling quarters, the scaling fraction for seventh measures would be 4/7. LilyPond correctly produces MIDI files for these time signatures; uncomment the \midi line to check this.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;lilypond version=&amp;quot;2.24.0&amp;quot;&amp;gt;&lt;br /&gt;
%% http://lsr.di.unimi.it/LSR/Item?id=552&lt;br /&gt;
&lt;br /&gt;
% Warnings may be suppressed using &amp;#039;ly:expect-warning&amp;#039;&lt;br /&gt;
% Or use the here defined &amp;#039;suppressWarning&amp;#039;-function, working since 2.20.&lt;br /&gt;
   &lt;br /&gt;
   suppressWarning =&lt;br /&gt;
   #(define-void-function (amount message)(number? string?)&lt;br /&gt;
     (for-each&lt;br /&gt;
       (lambda (warning)&lt;br /&gt;
         (ly:expect-warning message))&lt;br /&gt;
       (iota amount 1 1)))&lt;br /&gt;
       &lt;br /&gt;
   \suppressWarning 3 &amp;quot;strange time signature found&amp;quot;&lt;br /&gt;
&lt;br /&gt;
metrmods = \relative c&amp;#039; {&lt;br /&gt;
  \time 4/4&lt;br /&gt;
  \tempo 4 = 60&lt;br /&gt;
  fis4 fis fis fis&lt;br /&gt;
  \time 2/6&lt;br /&gt;
  g4*2/3 g |&lt;br /&gt;
  g4*2/3 g |&lt;br /&gt;
  \time 4/5&lt;br /&gt;
  as4*4/5 as as as8*4/5 g |&lt;br /&gt;
  \tuplet 3/2 { as4*4/5 as as } as4*4/5 as8*4/5 g |&lt;br /&gt;
  \time 3/7&lt;br /&gt;
  fis4*4/7 fis fis |&lt;br /&gt;
  fis4*4/7 fis fis |&lt;br /&gt;
}&lt;br /&gt;
&lt;br /&gt;
\score {&lt;br /&gt;
  \metrmods&lt;br /&gt;
  % uncomment to check MIDI output.&lt;br /&gt;
  % \midi { }&lt;br /&gt;
  \layout { }&lt;br /&gt;
}&lt;br /&gt;
&amp;lt;/lilypond&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Category:Contemporary notation]]&lt;br /&gt;
[[Category:Rhythms]]&lt;/div&gt;</summary>
		<author><name>Jean Abou Samra</name></author>
	</entry>
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