<?xml version="1.0"?>
<feed xmlns="http://www.w3.org/2005/Atom" xml:lang="en">
	<id>https://en.xen.wiki/index.php?action=history&amp;feed=atom&amp;title=PedagogyTradeoffs</id>
	<title>PedagogyTradeoffs - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://en.xen.wiki/index.php?action=history&amp;feed=atom&amp;title=PedagogyTradeoffs"/>
	<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=PedagogyTradeoffs&amp;action=history"/>
	<updated>2026-07-04T23:26:41Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
	<generator>MediaWiki 1.43.6</generator>
	<entry>
		<id>https://en.xen.wiki/index.php?title=PedagogyTradeoffs&amp;diff=104993&amp;oldid=prev</id>
		<title>Fredg999: Redirect</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=PedagogyTradeoffs&amp;diff=104993&amp;oldid=prev"/>
		<updated>2023-03-08T01:58:27Z</updated>

		<summary type="html">&lt;p&gt;Redirect&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 01:58, 8 March 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;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;In answer to the question &quot;&lt;/del&gt;When is learning a microtonal system of pitches &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#039;&#039;&lt;/del&gt;harder&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#039;&#039; &lt;/del&gt;than learning the 12-equal system? When is it &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#039;&#039;&lt;/del&gt;easier&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#039;&#039;&lt;/del&gt;?&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&quot; in [[Pedagogy|Pedagogy&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;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;#REDIRECT [[Pedagogy questions#&lt;/ins&gt;When is learning a microtonal system of pitches harder than learning the 12-equal system? When is it easier?]]&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;/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;This is a first draft. If you think I&#039;m wrong, edit the page to say why.&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;/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;Learning a microtonal system is harder than 12-equal where it&#039;s more complex and the harmonic context is not intuitively apparent. Which is most of the time (and sometimes so by definiton).&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;/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;However, systems that are microtonal relative to 12-equal may be easier to learn in several ways:&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;/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;&amp;lt;ul&amp;gt;&amp;lt;li&amp;gt;The have fewer notes. For example, slendro, pelog, various other diatonics.&amp;lt;/li&amp;gt;&amp;lt;li&amp;gt;They are closer to natural harmonies: just intonation, microtemperament, and equivalents in alternative timbres.&amp;lt;/li&amp;gt;&amp;lt;li&amp;gt;They resonate more with the subject&#039;s culture than the western chromatic; depends on context, and becoming less likely.&amp;lt;/li&amp;gt;&amp;lt;/ul&amp;gt;&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;/table&gt;</summary>
		<author><name>Fredg999</name></author>
	</entry>
	<entry>
		<id>https://en.xen.wiki/index.php?title=PedagogyTradeoffs&amp;diff=3045&amp;oldid=prev</id>
		<title>Wikispaces&gt;FREEZE at 00:00, 17 July 2018</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=PedagogyTradeoffs&amp;diff=3045&amp;oldid=prev"/>
		<updated>2018-07-17T00:00:00Z</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 00:00, 17 July 2018&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;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;h2&amp;gt;IMPORTED REVISION FROM WIKISPACES&amp;lt;/h2&amp;gt;&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;In answer to the question &quot;When is learning a microtonal system of pitches &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#039;&#039;&lt;/ins&gt;harder&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#039;&#039; &lt;/ins&gt;than learning the 12-equal system? When is it &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#039;&#039;&lt;/ins&gt;easier&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#039;&#039;&lt;/ins&gt;?&quot; in [[&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Pedagogy|&lt;/ins&gt;Pedagogy]]&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;This is an imported revision from Wikispaces. The revision metadata is included below for reference:&amp;lt;br&amp;gt;&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;: This revision was by author [[User:x31eq|x31eq]] and made on &amp;lt;tt&amp;gt;2007-11-19 02:02:46 UTC&amp;lt;/tt&amp;gt;.&amp;lt;br&amp;gt;&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;: The original revision id was &amp;lt;tt&amp;gt;11680895&amp;lt;/tt&amp;gt;.&amp;lt;br&amp;gt;&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;: The revision comment was: &amp;lt;tt&amp;gt;&amp;lt;/tt&amp;gt;&amp;lt;br&amp;gt;&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;The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.&amp;lt;br&amp;gt;&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;&amp;lt;h4&amp;gt;Original Wikitext content:&amp;lt;/h4&amp;gt;&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;&amp;lt;div style=&quot;width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em&quot;&amp;gt;&amp;lt;pre style=&quot;margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important&quot; class=&quot;old-revision-html&quot;&amp;gt;&lt;/del&gt;In answer to the question &quot;When is learning a microtonal system of pitches &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;//&lt;/del&gt;harder&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;// &lt;/del&gt;than learning the 12-equal system? When is it &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;//&lt;/del&gt;easier&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;//&lt;/del&gt;?&quot; in [[Pedagogy]]&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;This is a first draft. If you think I&amp;#039;m wrong, edit the page to say why.&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;This is a first draft. If you think I&amp;#039;m wrong, edit the page to say why.&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-l14&quot;&gt;Line 14:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 7:&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;However, systems that are microtonal relative to 12-equal may be easier to learn in several ways:&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;However, systems that are microtonal relative to 12-equal may be easier to learn in several ways:&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;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;* The have fewer notes. For example, slendro, pelog, various other diatonics.&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;&amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;ul&lt;/ins&gt;&amp;gt;&amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;li&lt;/ins&gt;&amp;gt;The have fewer notes. For example, slendro, pelog, various other diatonics.&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;&lt;/ins&gt;/li&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;gt;&amp;lt;&lt;/ins&gt;li&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;gt;&lt;/ins&gt;They are closer to natural harmonies: just intonation, microtemperament, and equivalents in alternative timbres.&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;&lt;/ins&gt;/li&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;gt;&amp;lt;&lt;/ins&gt;li&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;gt;&lt;/ins&gt;They resonate more with the subject&#039;s culture than the western chromatic; depends on context, and becoming less likely.&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;&lt;/ins&gt;/li&amp;gt;&amp;lt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;ul&lt;/ins&gt;&amp;gt;&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;* They are closer to natural harmonies: just intonation, microtemperament, and equivalents in alternative timbres.&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;* They resonate more with the subject&#039;s culture than the western chromatic; depends on context, and becoming less likely.&lt;/del&gt;&amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;/pre&lt;/del&gt;&amp;gt;&amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;/div&amp;gt;&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;&amp;lt;h4&amp;gt;Original HTML content:&amp;lt;/h4&amp;gt;&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;&amp;lt;div style=&quot;width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em&quot;&amp;gt;&amp;lt;pre style=&quot;margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important&quot; class=&quot;old-revision-html&quot;&lt;/del&gt;&amp;gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;amp;lt;html&amp;amp;gt;&amp;amp;lt;head&amp;amp;gt;&amp;amp;lt;title&amp;amp;gt;PedagogyTradeoffs&amp;amp;lt;/title&amp;amp;gt;&amp;amp;lt;/head&amp;amp;gt;&amp;amp;lt;body&amp;amp;gt;In answer to the question &amp;amp;amp;quot;When is learning a microtonal system of pitches &amp;amp;lt;em&amp;amp;gt;harder&amp;amp;lt;/em&amp;amp;gt; than learning the 12-equal system? When is it &amp;amp;lt;em&amp;amp;gt;easier&amp;amp;lt;/em&amp;amp;gt;?&amp;amp;amp;quot; in &amp;amp;lt;a class=&quot;wiki_link&quot; href=&quot;/Pedagogy&quot;&amp;amp;gt;Pedagogy&amp;amp;lt;/a&amp;amp;gt;&amp;amp;lt;br /&amp;amp;gt;&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;&amp;amp;lt;br /&amp;amp;gt;&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;This is a first draft. If you think I&#039;m wrong, edit the page to say why.&amp;amp;lt;br /&amp;amp;gt;&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;&amp;amp;lt;br /&amp;amp;gt;&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;Learning a microtonal system is harder than 12-equal where it&#039;s more complex and the harmonic context is not intuitively apparent. Which is most of the time (and sometimes so by definiton).&amp;amp;lt;br /&amp;amp;gt;&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;&amp;amp;lt;br /&amp;amp;gt;&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;However, systems that are microtonal relative to 12-equal may be easier to learn in several ways:&amp;amp;lt;br /&amp;amp;gt;&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;&amp;amp;lt;br /&amp;amp;gt;&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;&amp;amp;lt;ul&amp;amp;gt;&amp;amp;lt;li&amp;amp;gt;&lt;/del&gt;The have fewer notes. For example, slendro, pelog, various other diatonics.&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;amp;lt;&lt;/del&gt;/li&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;amp;gt;&amp;amp;lt;&lt;/del&gt;li&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;amp;gt;&lt;/del&gt;They are closer to natural harmonies: just intonation, microtemperament, and equivalents in alternative timbres.&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;amp;lt;&lt;/del&gt;/li&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;amp;gt;&amp;amp;lt;&lt;/del&gt;li&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;amp;gt;&lt;/del&gt;They resonate more with the subject&#039;s culture than the western chromatic; depends on context, and becoming less likely.&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;amp;lt;&lt;/del&gt;/li&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;amp;gt;&amp;amp;lt;/ul&amp;amp;gt;&amp;amp;lt;/body&amp;amp;gt;&amp;amp;lt;/html&amp;amp;gt;&amp;lt;/pre&lt;/del&gt;&amp;gt;&amp;lt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;div&lt;/del&gt;&amp;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;/table&gt;</summary>
		<author><name>Wikispaces&gt;FREEZE</name></author>
	</entry>
	<entry>
		<id>https://en.xen.wiki/index.php?title=PedagogyTradeoffs&amp;diff=23618&amp;oldid=prev</id>
		<title>Wikispaces&gt;x31eq: **Imported revision 11680895 - Original comment: **</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=PedagogyTradeoffs&amp;diff=23618&amp;oldid=prev"/>
		<updated>2007-11-19T02:02:46Z</updated>

		<summary type="html">&lt;p&gt;**Imported revision 11680895 - Original comment: **&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;&amp;lt;h2&amp;gt;IMPORTED REVISION FROM WIKISPACES&amp;lt;/h2&amp;gt;&lt;br /&gt;
This is an imported revision from Wikispaces. The revision metadata is included below for reference:&amp;lt;br&amp;gt;&lt;br /&gt;
: This revision was by author [[User:x31eq|x31eq]] and made on &amp;lt;tt&amp;gt;2007-11-19 02:02:46 UTC&amp;lt;/tt&amp;gt;.&amp;lt;br&amp;gt;&lt;br /&gt;
: The original revision id was &amp;lt;tt&amp;gt;11680895&amp;lt;/tt&amp;gt;.&amp;lt;br&amp;gt;&lt;br /&gt;
: The revision comment was: &amp;lt;tt&amp;gt;&amp;lt;/tt&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;h4&amp;gt;Original Wikitext content:&amp;lt;/h4&amp;gt;&lt;br /&gt;
&amp;lt;div style=&amp;quot;width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em&amp;quot;&amp;gt;&amp;lt;pre style=&amp;quot;margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important&amp;quot; class=&amp;quot;old-revision-html&amp;quot;&amp;gt;In answer to the question &amp;quot;When is learning a microtonal system of pitches //harder// than learning the 12-equal system? When is it //easier//?&amp;quot; in [[Pedagogy]]&lt;br /&gt;
&lt;br /&gt;
This is a first draft. If you think I&amp;#039;m wrong, edit the page to say why.&lt;br /&gt;
&lt;br /&gt;
Learning a microtonal system is harder than 12-equal where it&amp;#039;s more complex and the harmonic context is not intuitively apparent. Which is most of the time (and sometimes so by definiton).&lt;br /&gt;
&lt;br /&gt;
However, systems that are microtonal relative to 12-equal may be easier to learn in several ways:&lt;br /&gt;
&lt;br /&gt;
* The have fewer notes. For example, slendro, pelog, various other diatonics.&lt;br /&gt;
* They are closer to natural harmonies: just intonation, microtemperament, and equivalents in alternative timbres.&lt;br /&gt;
* They resonate more with the subject&amp;#039;s culture than the western chromatic; depends on context, and becoming less likely.&amp;lt;/pre&amp;gt;&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;h4&amp;gt;Original HTML content:&amp;lt;/h4&amp;gt;&lt;br /&gt;
&amp;lt;div style=&amp;quot;width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em&amp;quot;&amp;gt;&amp;lt;pre style=&amp;quot;margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important&amp;quot; class=&amp;quot;old-revision-html&amp;quot;&amp;gt;&amp;amp;lt;html&amp;amp;gt;&amp;amp;lt;head&amp;amp;gt;&amp;amp;lt;title&amp;amp;gt;PedagogyTradeoffs&amp;amp;lt;/title&amp;amp;gt;&amp;amp;lt;/head&amp;amp;gt;&amp;amp;lt;body&amp;amp;gt;In answer to the question &amp;amp;amp;quot;When is learning a microtonal system of pitches &amp;amp;lt;em&amp;amp;gt;harder&amp;amp;lt;/em&amp;amp;gt; than learning the 12-equal system? When is it &amp;amp;lt;em&amp;amp;gt;easier&amp;amp;lt;/em&amp;amp;gt;?&amp;amp;amp;quot; in &amp;amp;lt;a class=&amp;quot;wiki_link&amp;quot; href=&amp;quot;/Pedagogy&amp;quot;&amp;amp;gt;Pedagogy&amp;amp;lt;/a&amp;amp;gt;&amp;amp;lt;br /&amp;amp;gt;&lt;br /&gt;
&amp;amp;lt;br /&amp;amp;gt;&lt;br /&gt;
This is a first draft. If you think I&amp;#039;m wrong, edit the page to say why.&amp;amp;lt;br /&amp;amp;gt;&lt;br /&gt;
&amp;amp;lt;br /&amp;amp;gt;&lt;br /&gt;
Learning a microtonal system is harder than 12-equal where it&amp;#039;s more complex and the harmonic context is not intuitively apparent. Which is most of the time (and sometimes so by definiton).&amp;amp;lt;br /&amp;amp;gt;&lt;br /&gt;
&amp;amp;lt;br /&amp;amp;gt;&lt;br /&gt;
However, systems that are microtonal relative to 12-equal may be easier to learn in several ways:&amp;amp;lt;br /&amp;amp;gt;&lt;br /&gt;
&amp;amp;lt;br /&amp;amp;gt;&lt;br /&gt;
&amp;amp;lt;ul&amp;amp;gt;&amp;amp;lt;li&amp;amp;gt;The have fewer notes. For example, slendro, pelog, various other diatonics.&amp;amp;lt;/li&amp;amp;gt;&amp;amp;lt;li&amp;amp;gt;They are closer to natural harmonies: just intonation, microtemperament, and equivalents in alternative timbres.&amp;amp;lt;/li&amp;amp;gt;&amp;amp;lt;li&amp;amp;gt;They resonate more with the subject&amp;#039;s culture than the western chromatic; depends on context, and becoming less likely.&amp;amp;lt;/li&amp;amp;gt;&amp;amp;lt;/ul&amp;amp;gt;&amp;amp;lt;/body&amp;amp;gt;&amp;amp;lt;/html&amp;amp;gt;&amp;lt;/pre&amp;gt;&amp;lt;/div&amp;gt;&lt;/div&gt;</summary>
		<author><name>Wikispaces&gt;x31eq</name></author>
	</entry>
</feed>