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	<id>https://en.xen.wiki/index.php?action=history&amp;feed=atom&amp;title=User_talk%3AMousemambo%2FIntroduction_to_xenharmonic_music_terminology</id>
	<title>User talk:Mousemambo/Introduction to xenharmonic music terminology - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://en.xen.wiki/index.php?action=history&amp;feed=atom&amp;title=User_talk%3AMousemambo%2FIntroduction_to_xenharmonic_music_terminology"/>
	<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=User_talk:Mousemambo/Introduction_to_xenharmonic_music_terminology&amp;action=history"/>
	<updated>2026-07-08T12:02:39Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://en.xen.wiki/index.php?title=User_talk:Mousemambo/Introduction_to_xenharmonic_music_terminology&amp;diff=124932&amp;oldid=prev</id>
		<title>Mousemambo: /* Other places in the Wiki where introductions have been at least started */</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=User_talk:Mousemambo/Introduction_to_xenharmonic_music_terminology&amp;diff=124932&amp;oldid=prev"/>
		<updated>2023-10-01T18:54:12Z</updated>

		<summary type="html">&lt;p&gt;&lt;span class=&quot;autocomment&quot;&gt;Other places in the Wiki where introductions have been at least started&lt;/span&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 18:54, 1 October 2023&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-l32&quot;&gt;Line 32:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 32:&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;==Other places in the Wiki where introductions have been at least started==&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;==Other places in the Wiki where introductions have been at least started==&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;*[[Basic introduction to xenharmonic music]]&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;*[[Basic introduction to xenharmonic music]]&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;*[[General theory]]&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;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;==More comments and suggestions==&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;==More comments and suggestions==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Mousemambo</name></author>
	</entry>
	<entry>
		<id>https://en.xen.wiki/index.php?title=User_talk:Mousemambo/Introduction_to_xenharmonic_music_terminology&amp;diff=123435&amp;oldid=prev</id>
		<title>Mousemambo at 22:30, 6 September 2023</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=User_talk:Mousemambo/Introduction_to_xenharmonic_music_terminology&amp;diff=123435&amp;oldid=prev"/>
		<updated>2023-09-06T22:30:21Z</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;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 22:30, 6 September 2023&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-l30&quot;&gt;Line 30:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 30:&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;[[User:Mousemambo|Mousemambo]] ([[User talk:Mousemambo|talk]]) 16:29, 5 September 2023 (UTC)&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;[[User:Mousemambo|Mousemambo]] ([[User talk:Mousemambo|talk]]) 16:29, 5 September 2023 (UTC)&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;== More comments and suggestions==&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;==Other places in the Wiki where introductions have been at least started==&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;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;*[[Basic introduction to xenharmonic music]]&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;==More comments and suggestions==&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;Feel free to add your own comments or suggestions below. Thanks!&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;Feel free to add your own comments or suggestions below. Thanks!&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;[[User:Mousemambo|Mousemambo]] ([[User talk:Mousemambo|talk]]) 17:02, 5 September 2023 (UTC)&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;[[User:Mousemambo|Mousemambo]] ([[User talk:Mousemambo|talk]]) 17:02, 5 September 2023 (UTC)&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Mousemambo</name></author>
	</entry>
	<entry>
		<id>https://en.xen.wiki/index.php?title=User_talk:Mousemambo/Introduction_to_xenharmonic_music_terminology&amp;diff=123375&amp;oldid=prev</id>
		<title>Mousemambo at 19:14, 5 September 2023</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=User_talk:Mousemambo/Introduction_to_xenharmonic_music_terminology&amp;diff=123375&amp;oldid=prev"/>
		<updated>2023-09-05T19:14:13Z</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;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 19:14, 5 September 2023&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;The page &quot;Introduction to xenharmonic music terminology&quot; started as a study curriculum I developed for myself, to teach me microtonal music terminology. I am still very new to this stuff. It seemed like with a little additional development it might be something useful to other beginners, so here it is as a wiki page. If it seems attractive to others, and after some community feedback, I might move it into the Xen Wiki mainspace (although I&#039;ll keep my original copy here too). [[User:Mousemambo|Mousemambo]] ([[User talk:Mousemambo|talk]]) 16:29, 5 September 2023 (UTC)&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;The page &quot;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[User:Mousemambo/Introduction_to_xenharmonic_music_terminology|&lt;/ins&gt;Introduction to xenharmonic music terminology&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]]&lt;/ins&gt;&quot; started as a study curriculum I developed for myself, to teach me microtonal music terminology. I am still very new to this stuff. It seemed like with a little additional development it might be something useful to other beginners, so here it is as a wiki page. If it seems attractive to others, and after some community feedback, I might move it into the Xen Wiki mainspace (although I&#039;ll keep my original copy here too). [[User:Mousemambo|Mousemambo]] ([[User talk:Mousemambo|talk]]) 16:29, 5 September 2023 (UTC)&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;==Tuning system design==&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;==Tuning system design==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Mousemambo</name></author>
	</entry>
	<entry>
		<id>https://en.xen.wiki/index.php?title=User_talk:Mousemambo/Introduction_to_xenharmonic_music_terminology&amp;diff=123365&amp;oldid=prev</id>
		<title>Mousemambo: fixes formatting errors</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=User_talk:Mousemambo/Introduction_to_xenharmonic_music_terminology&amp;diff=123365&amp;oldid=prev"/>
		<updated>2023-09-05T17:25:23Z</updated>

		<summary type="html">&lt;p&gt;fixes formatting errors&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-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 17:25, 5 September 2023&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-l4&quot;&gt;Line 4:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 4:&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;[[Tuning system design]]. I believe that this is a needed article explaining some of the (sometimes conflicting) qualities that make a tuning system attractive, e.g. many consonant intervals, attractive harmonies, easy modulation to other keys, similarity to existing popular tunings, etc. Some possible qualities:&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;[[Tuning system design]]. I believe that this is a needed article explaining some of the (sometimes conflicting) qualities that make a tuning system attractive, e.g. many consonant intervals, attractive harmonies, easy modulation to other keys, similarity to existing popular tunings, etc. Some possible qualities:&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;*&lt;/del&gt;*Correspondence to the [[harmonic series]], especially the fifth and/or third. Harmonic sounds are perceived by humans as more sonorous, in part due to harmonic blending.&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;*Correspondence to the [[harmonic series]], especially the fifth and/or third. Harmonic sounds are perceived by humans as more sonorous, in part due to harmonic blending.&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;*&lt;/del&gt;*Includes many close-to-harmonic fifths among intervals of the scale&#039;s (or possible scale in the tuning) notes.&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;*Includes many close-to-harmonic fifths among intervals of the scale&#039;s (or possible scale in the tuning) notes.&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;*&lt;/del&gt;*Is an [[EDO]] with the useful properties of those (modulation is relatively easy, for example).&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;*Is an [[EDO]] with the useful properties of those (modulation is relatively easy, for example).&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;*&lt;/del&gt;*Is a [[MOS scale]] (many scales that people have found attractive for making music happen to be MOS scales).&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;*Is a [[MOS scale]] (many scales that people have found attractive for making music happen to be MOS scales).&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;*&lt;/del&gt;*Has enough corresponding scale degrees with 12edo that it is possible to compose in it using music theoretic understanding from Common Practice theory (e.g. [[19edo]]).&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;*Has enough corresponding scale degrees with 12edo that it is possible to compose in it using music theoretic understanding from Common Practice theory (e.g. [[19edo]]).&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;*&lt;/del&gt;*Is an EDO close enough to a popular temperament to substitute for it, e.g. [[19edo]] for [[1/3-comma meantone]].&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;*Is an EDO close enough to a popular temperament to substitute for it, e.g. [[19edo]] for [[1/3-comma meantone]].&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;*&lt;/del&gt;*Has few enough pitches per [[equave]] that there&#039;s no need to select a subset for mapping to standard piano format controllers.&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;*Has few enough pitches per [[equave]] that there&#039;s no need to select a subset for mapping to standard piano format controllers.&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;*&lt;/del&gt;*A tonal quality, or set of available tonal qualities, that appeals to the composer and listener.&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;*A tonal quality, or set of available tonal qualities, that appeals to the composer and listener.&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;([[User talk:Mousemambo|talk]]) 16:29, 5 September 2023 (UTC)&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;[[User:Mousemambo|Mousemambo]] &lt;/ins&gt;([[User talk:Mousemambo|talk]]) 16:29, 5 September 2023 (UTC)&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;==Harmony in just intonation==&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;==Harmony in just intonation==&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;[[Just intonation harmony]] (or [[Harmony in just intonation]]). This needed article would present an introduction to creating harmony in just intonation (JI) tunings. It introduces ideas and strategies for harmony that also apply to other uneven tunings, and provides a foundation for understanding more extended xenharmonic harmonization. It should emphasize the important explicit and implicit harmonic qualities of arpeggiation, counterpoint, and dyadic harmony in JI and other non-regular tunings. Some ideas to include...&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;[[Just intonation harmony]] (or [[Harmony in just intonation]]). This needed article would present an introduction to creating harmony in just intonation (JI) tunings. It introduces ideas and strategies for harmony that also apply to other uneven tunings, and provides a foundation for understanding more extended xenharmonic harmonization. It should emphasize the important explicit and implicit harmonic qualities of arpeggiation, counterpoint, and dyadic harmony in JI and other non-regular tunings. Some ideas to include...&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;*&lt;/del&gt;*In ancient music, &quot;pure&quot; tunings based on lower harmonic series overtones (e.g. Pythagorean, aka 3-limit) were understood to mostly support only limited dyadic harmony, because few intervals in any purely JI tuning were considered acceptably consonant. Singing and playing in unison was typical. Interval table analysis of an example 3-limit JI tuning (see table; to be added) reveals how many of that tunings&#039; dyadic intervals are unusable for harmony. Triads that are consonant — by traditional measure — are unavailable in ancient JI tunings.&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;*In ancient music, &quot;pure&quot; tunings based on lower harmonic series overtones (e.g. Pythagorean, aka 3-limit) were understood to mostly support only limited dyadic harmony, because few intervals in any purely JI tuning were considered acceptably consonant. Singing and playing in unison was typical. Interval table analysis of an example 3-limit JI tuning (see table; to be added) reveals how many of that tunings&#039; dyadic intervals are unusable for harmony. Triads that are consonant — by traditional measure — are unavailable in ancient JI tunings.&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;*&lt;/del&gt;*However, many traditional cultural musics successfully integrated dyadic harmony, e.g. ancient Greek music and its early European descendants, traditional Middle Eastern music, traditional classical Chinese music, and some traditional African music. The commitment to 3-limit tunings of this time was essentially ideological, reinforced by the strong human tendency to hear unfamiliar tunings as &quot;wrong.&quot;&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;*However, many traditional cultural musics successfully integrated dyadic harmony, e.g. ancient Greek music and its early European descendants, traditional Middle Eastern music, traditional classical Chinese music, and some traditional African music. The commitment to 3-limit tunings of this time was essentially ideological, reinforced by the strong human tendency to hear unfamiliar tunings as &quot;wrong.&quot;&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;*&lt;/del&gt;*The expansion of JI tunings from 3-limit (Pythagorean) to 5-limit (e.g. Ptolemaic) increased the number of intervals considered consonant, and therefore the harmonic possibilities in these tunings. Although options for triadic harmony were still limited compared to later developments, the strongly consonant Ptolemaic just major triad and some other consonant triads became available. Nevertheless, harmony through the European Medieval period remained mostly limited to fifths and fourths in parallel motion, with some experimentation.&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;*The expansion of JI tunings from 3-limit (Pythagorean) to 5-limit (e.g. Ptolemaic) increased the number of intervals considered consonant, and therefore the harmonic possibilities in these tunings. Although options for triadic harmony were still limited compared to later developments, the strongly consonant Ptolemaic just major triad and some other consonant triads became available. Nevertheless, harmony through the European Medieval period remained mostly limited to fifths and fourths in parallel motion, with some experimentation.&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;**Melodic arpeggiation, ostinato, and the introduction of early basso continuo accompaniment, provided composers with a conceptual doorway to more sophisticated harmonic ideas in early European JI music, without the more obvious dissonance of nearby-pitched notes sounded simultaneously. The developing popularity of counterpoint in Medieval melody also encouraged considering more complex harmony.&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;**Melodic arpeggiation, ostinato, and the introduction of early basso continuo accompaniment, provided composers with a conceptual doorway to more sophisticated harmonic ideas in early European JI music, without the more obvious dissonance of nearby-pitched notes sounded simultaneously. The developing popularity of counterpoint in Medieval melody also encouraged considering more complex harmony.&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;*&lt;/del&gt;*Subsequently, the abandonment of pure intonation for newly developed [[Wikipedia:Meantone temperament|meantone temperaments]] in European Renaissance music greatly enlarged the set of acceptably consonant intervals (e.g. [[Wikipedia:List_of_meantone_intervals|List of meantone intervals]]), while listeners also became more accepting of less pure intervals as consonant (continuing into the 20th century [[Wikipedia:Emancipation of the dissonance|Emancipation of the dissonance]]). This allowed expansion and exploration of triadic and larger harmonies. These tempered tunings also permitted some key modulation on fixed-pitch instruments like piano.&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;*Subsequently, the abandonment of pure intonation for newly developed [[Wikipedia:Meantone temperament|meantone temperaments]] in European Renaissance music greatly enlarged the set of acceptably consonant intervals (e.g. [[Wikipedia:List_of_meantone_intervals|List of meantone intervals]]), while listeners also became more accepting of less pure intervals as consonant (continuing into the 20th century [[Wikipedia:Emancipation of the dissonance|Emancipation of the dissonance]]). This allowed expansion and exploration of triadic and larger harmonies. These tempered tunings also permitted some key modulation on fixed-pitch instruments like piano.&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;*&lt;/del&gt;*Some contemporary composers have been rediscovering the attractive tonality of pure harmony and its deeply consonant quality. People only familiar with the advantages of ubiquitous equal temperament may initially find composing in just intonation is notably constrained because many intervals are unavailable due to dissonance, reducing its harmonic possibilities. However, constraints in artistic work can also inspire creative solutions. One of the charms of composing in a new tuning system is learning what works well in it, and expresses its tonality with enough beauty that the listener doesn&#039;t realize what the composer has worked to avoid. It&#039;s also worth considering that humans have composed music in just intonation for thousands of years, although nearly all of it has been lost.&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;*Some contemporary composers have been rediscovering the attractive tonality of pure harmony and its deeply consonant quality. People only familiar with the advantages of ubiquitous equal temperament may initially find composing in just intonation is notably constrained because many intervals are unavailable due to dissonance, reducing its harmonic possibilities. However, constraints in artistic work can also inspire creative solutions. One of the charms of composing in a new tuning system is learning what works well in it, and expresses its tonality with enough beauty that the listener doesn&#039;t realize what the composer has worked to avoid. It&#039;s also worth considering that humans have composed music in just intonation for thousands of years, although nearly all of it has been lost.&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;[[User:Mousemambo|Mousemambo]] ([[User talk:Mousemambo|talk]]) 16:29, 5 September 2023 (UTC)&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;[[User:Mousemambo|Mousemambo]] ([[User talk:Mousemambo|talk]]) 16:29, 5 September 2023 (UTC)&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>Mousemambo</name></author>
	</entry>
	<entry>
		<id>https://en.xen.wiki/index.php?title=User_talk:Mousemambo/Introduction_to_xenharmonic_music_terminology&amp;diff=123364&amp;oldid=prev</id>
		<title>Mousemambo: /* Tuning system design */</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=User_talk:Mousemambo/Introduction_to_xenharmonic_music_terminology&amp;diff=123364&amp;oldid=prev"/>
		<updated>2023-09-05T17:23:13Z</updated>

		<summary type="html">&lt;p&gt;&lt;span class=&quot;autocomment&quot;&gt;Tuning system design&lt;/span&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 17:23, 5 September 2023&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-l12&quot;&gt;Line 12:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 12:&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;**Has few enough pitches per [[equave]] that there&amp;#039;s no need to select a subset for mapping to standard piano format controllers.&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;**Has few enough pitches per [[equave]] that there&amp;#039;s no need to select a subset for mapping to standard piano format controllers.&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;**A tonal quality, or set of available tonal qualities, that appeals to the composer and listener.&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;**A tonal quality, or set of available tonal qualities, that appeals to the composer and listener.&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;*[[Harmonic lattice diagram]] (aka tuning lattice)&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;([[User talk:Mousemambo|talk]]) 16:29, 5 September 2023 (UTC)&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;*[[Tonality diamond]]. Unfortunately, the current (2023-09-04) Xen Wiki page doesn&#039;t present the common meaning of the term, providing instead only some off-putting advanced math. However, it does offer a link to the [[Tonalsoft Encyclopedia]] article for [http://www.tonalsoft.com/enc/t/tonality-diamond.aspx tonality diamond], which is closer to what we really need here but with a simpler and cohesive accompanying explanation for what it is and how its used.&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; 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;[[User:Mousemambo|Mousemambo]] &lt;/del&gt;([[User talk:Mousemambo|talk]]) 16:29, 5 September 2023 (UTC)&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;&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;==Harmony in just intonation==&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;==Harmony in just intonation==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Mousemambo</name></author>
	</entry>
	<entry>
		<id>https://en.xen.wiki/index.php?title=User_talk:Mousemambo/Introduction_to_xenharmonic_music_terminology&amp;diff=123360&amp;oldid=prev</id>
		<title>Mousemambo at 17:02, 5 September 2023</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=User_talk:Mousemambo/Introduction_to_xenharmonic_music_terminology&amp;diff=123360&amp;oldid=prev"/>
		<updated>2023-09-05T17:02:11Z</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 17:02, 5 September 2023&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-l31&quot;&gt;Line 31:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 31:&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;[[Tonality diamond]]. Unfortunately, the current (2023-09-04) Xen Wiki page doesn&amp;#039;t present the common meaning of the term, providing instead only some off-putting advanced math. However, it does offer a link to the [[Tonalsoft Encyclopedia]] article for [http://www.tonalsoft.com/enc/t/tonality-diamond.aspx tonality diamond], which is closer to what we really need here but with a simpler and cohesive accompanying explanation for what it is and how its used.&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;[[Tonality diamond]]. Unfortunately, the current (2023-09-04) Xen Wiki page doesn&amp;#039;t present the common meaning of the term, providing instead only some off-putting advanced math. However, it does offer a link to the [[Tonalsoft Encyclopedia]] article for [http://www.tonalsoft.com/enc/t/tonality-diamond.aspx tonality diamond], which is closer to what we really need here but with a simpler and cohesive accompanying explanation for what it is and how its used.&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;[[User:Mousemambo|Mousemambo]] ([[User talk:Mousemambo|talk]]) 16:29, 5 September 2023 (UTC)&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;[[User:Mousemambo|Mousemambo]] ([[User talk:Mousemambo|talk]]) 16:29, 5 September 2023 (UTC)&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;&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;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;== More comments and suggestions==&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;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&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;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Feel free to add your own comments or suggestions below. Thanks!&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;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[User:Mousemambo|Mousemambo]] ([[User talk:Mousemambo|talk]]) 17:02, 5 September 2023 (UTC)&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Mousemambo</name></author>
	</entry>
	<entry>
		<id>https://en.xen.wiki/index.php?title=User_talk:Mousemambo/Introduction_to_xenharmonic_music_terminology&amp;diff=123359&amp;oldid=prev</id>
		<title>Mousemambo: moved my commentary out of the article and into this talk page</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=User_talk:Mousemambo/Introduction_to_xenharmonic_music_terminology&amp;diff=123359&amp;oldid=prev"/>
		<updated>2023-09-05T16:29:56Z</updated>

		<summary type="html">&lt;p&gt;moved my commentary out of the article and into this talk page&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;The page &amp;quot;Introduction to xenharmonic music terminology&amp;quot; started as a study curriculum I developed for myself, to teach me microtonal music terminology. I am still very new to this stuff. It seemed like with a little additional development it might be something useful to other beginners, so here it is as a wiki page. If it seems attractive to others, and after some community feedback, I might move it into the Xen Wiki mainspace (although I&amp;#039;ll keep my original copy here too). [[User:Mousemambo|Mousemambo]] ([[User talk:Mousemambo|talk]]) 16:29, 5 September 2023 (UTC)&lt;br /&gt;
&lt;br /&gt;
==Tuning system design==&lt;br /&gt;
&lt;br /&gt;
[[Tuning system design]]. I believe that this is a needed article explaining some of the (sometimes conflicting) qualities that make a tuning system attractive, e.g. many consonant intervals, attractive harmonies, easy modulation to other keys, similarity to existing popular tunings, etc. Some possible qualities:&lt;br /&gt;
**Correspondence to the [[harmonic series]], especially the fifth and/or third. Harmonic sounds are perceived by humans as more sonorous, in part due to harmonic blending.&lt;br /&gt;
**Includes many close-to-harmonic fifths among intervals of the scale&amp;#039;s (or possible scale in the tuning) notes.&lt;br /&gt;
**Is an [[EDO]] with the useful properties of those (modulation is relatively easy, for example).&lt;br /&gt;
**Is a [[MOS scale]] (many scales that people have found attractive for making music happen to be MOS scales).&lt;br /&gt;
**Has enough corresponding scale degrees with 12edo that it is possible to compose in it using music theoretic understanding from Common Practice theory (e.g. [[19edo]]).&lt;br /&gt;
**Is an EDO close enough to a popular temperament to substitute for it, e.g. [[19edo]] for [[1/3-comma meantone]].&lt;br /&gt;
**Has few enough pitches per [[equave]] that there&amp;#039;s no need to select a subset for mapping to standard piano format controllers.&lt;br /&gt;
**A tonal quality, or set of available tonal qualities, that appeals to the composer and listener.&lt;br /&gt;
*[[Harmonic lattice diagram]] (aka tuning lattice)&lt;br /&gt;
*[[Tonality diamond]]. Unfortunately, the current (2023-09-04) Xen Wiki page doesn&amp;#039;t present the common meaning of the term, providing instead only some off-putting advanced math. However, it does offer a link to the [[Tonalsoft Encyclopedia]] article for [http://www.tonalsoft.com/enc/t/tonality-diamond.aspx tonality diamond], which is closer to what we really need here but with a simpler and cohesive accompanying explanation for what it is and how its used.&lt;br /&gt;
[[User:Mousemambo|Mousemambo]] ([[User talk:Mousemambo|talk]]) 16:29, 5 September 2023 (UTC)&lt;br /&gt;
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==Harmony in just intonation==&lt;br /&gt;
&lt;br /&gt;
[[Just intonation harmony]] (or [[Harmony in just intonation]]). This needed article would present an introduction to creating harmony in just intonation (JI) tunings. It introduces ideas and strategies for harmony that also apply to other uneven tunings, and provides a foundation for understanding more extended xenharmonic harmonization. It should emphasize the important explicit and implicit harmonic qualities of arpeggiation, counterpoint, and dyadic harmony in JI and other non-regular tunings. Some ideas to include...&lt;br /&gt;
**In ancient music, &amp;quot;pure&amp;quot; tunings based on lower harmonic series overtones (e.g. Pythagorean, aka 3-limit) were understood to mostly support only limited dyadic harmony, because few intervals in any purely JI tuning were considered acceptably consonant. Singing and playing in unison was typical. Interval table analysis of an example 3-limit JI tuning (see table; to be added) reveals how many of that tunings&amp;#039; dyadic intervals are unusable for harmony. Triads that are consonant — by traditional measure — are unavailable in ancient JI tunings.&lt;br /&gt;
**However, many traditional cultural musics successfully integrated dyadic harmony, e.g. ancient Greek music and its early European descendants, traditional Middle Eastern music, traditional classical Chinese music, and some traditional African music. The commitment to 3-limit tunings of this time was essentially ideological, reinforced by the strong human tendency to hear unfamiliar tunings as &amp;quot;wrong.&amp;quot;&lt;br /&gt;
**The expansion of JI tunings from 3-limit (Pythagorean) to 5-limit (e.g. Ptolemaic) increased the number of intervals considered consonant, and therefore the harmonic possibilities in these tunings. Although options for triadic harmony were still limited compared to later developments, the strongly consonant Ptolemaic just major triad and some other consonant triads became available. Nevertheless, harmony through the European Medieval period remained mostly limited to fifths and fourths in parallel motion, with some experimentation.&lt;br /&gt;
**Melodic arpeggiation, ostinato, and the introduction of early basso continuo accompaniment, provided composers with a conceptual doorway to more sophisticated harmonic ideas in early European JI music, without the more obvious dissonance of nearby-pitched notes sounded simultaneously. The developing popularity of counterpoint in Medieval melody also encouraged considering more complex harmony.&lt;br /&gt;
**Subsequently, the abandonment of pure intonation for newly developed [[Wikipedia:Meantone temperament|meantone temperaments]] in European Renaissance music greatly enlarged the set of acceptably consonant intervals (e.g. [[Wikipedia:List_of_meantone_intervals|List of meantone intervals]]), while listeners also became more accepting of less pure intervals as consonant (continuing into the 20th century [[Wikipedia:Emancipation of the dissonance|Emancipation of the dissonance]]). This allowed expansion and exploration of triadic and larger harmonies. These tempered tunings also permitted some key modulation on fixed-pitch instruments like piano.&lt;br /&gt;
**Some contemporary composers have been rediscovering the attractive tonality of pure harmony and its deeply consonant quality. People only familiar with the advantages of ubiquitous equal temperament may initially find composing in just intonation is notably constrained because many intervals are unavailable due to dissonance, reducing its harmonic possibilities. However, constraints in artistic work can also inspire creative solutions. One of the charms of composing in a new tuning system is learning what works well in it, and expresses its tonality with enough beauty that the listener doesn&amp;#039;t realize what the composer has worked to avoid. It&amp;#039;s also worth considering that humans have composed music in just intonation for thousands of years, although nearly all of it has been lost.&lt;br /&gt;
[[User:Mousemambo|Mousemambo]] ([[User talk:Mousemambo|talk]]) 16:29, 5 September 2023 (UTC)&lt;br /&gt;
&lt;br /&gt;
==Tonality diamond==&lt;br /&gt;
&lt;br /&gt;
[[Tonality diamond]]. Unfortunately, the current (2023-09-04) Xen Wiki page doesn&amp;#039;t present the common meaning of the term, providing instead only some off-putting advanced math. However, it does offer a link to the [[Tonalsoft Encyclopedia]] article for [http://www.tonalsoft.com/enc/t/tonality-diamond.aspx tonality diamond], which is closer to what we really need here but with a simpler and cohesive accompanying explanation for what it is and how its used.&lt;br /&gt;
[[User:Mousemambo|Mousemambo]] ([[User talk:Mousemambo|talk]]) 16:29, 5 September 2023 (UTC)&lt;/div&gt;</summary>
		<author><name>Mousemambo</name></author>
	</entry>
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