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	<title>20th Century Music Theory - Revision history</title>
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	<updated>2026-05-06T15:08:17Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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		<title>Wordpad: BloomWiki: 20th Century Music Theory</title>
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		<updated>2026-04-25T01:45:46Z</updated>

		<summary type="html">&lt;p&gt;BloomWiki: 20th Century Music Theory&lt;/p&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 01:45, 25 April 2026&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td 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;&amp;lt;div style=&quot;background-color: #4B0082; color: #FFFFFF; padding: 20px; border-radius: 8px; margin-bottom: 15px;&quot;&amp;gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{BloomIntro}}&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;{{BloomIntro}}&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;20th Century Music Theory is the study of the radical break from traditional harmony and rhythm that occurred in the 1900s. After 300 years of &amp;quot;Tonal&amp;quot; music (music with a clear &amp;quot;Home&amp;quot; key), composers began to experiment with **Atonality** (no key), **Polytonality** (multiple keys at once), and **Twelve-Tone Serialism** (treating all 12 notes as equal). This era also saw the exploration of electronic sound, complex mathematical structures, and the &amp;quot;aleatory&amp;quot; (chance) in music. It is a period where the very definition of &amp;quot;Music&amp;quot; was challenged and expanded, moving from &amp;quot;beauty&amp;quot; to &amp;quot;expression,&amp;quot; &amp;quot;concept,&amp;quot; and &amp;quot;sound.&amp;quot;&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;20th Century Music Theory is the study of the radical break from traditional harmony and rhythm that occurred in the 1900s. After 300 years of &amp;quot;Tonal&amp;quot; music (music with a clear &amp;quot;Home&amp;quot; key), composers began to experiment with **Atonality** (no key), **Polytonality** (multiple keys at once), and **Twelve-Tone Serialism** (treating all 12 notes as equal). This era also saw the exploration of electronic sound, complex mathematical structures, and the &amp;quot;aleatory&amp;quot; (chance) in music. It is a period where the very definition of &amp;quot;Music&amp;quot; was challenged and expanded, moving from &amp;quot;beauty&amp;quot; to &amp;quot;expression,&amp;quot; &amp;quot;concept,&amp;quot; and &amp;quot;sound.&amp;quot;&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;&amp;lt;/div&amp;gt;&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; 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;== Remembering ==&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;__TOC__&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;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;div style&lt;/ins&gt;=&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&quot;background-color: #000080; color: #FFFFFF; padding: 20px; border-radius: 8px; margin-bottom: 15px;&quot;&amp;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;= &amp;lt;span style=&quot;color: #FFFFFF;&quot;&amp;gt;&lt;/ins&gt;Remembering&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/span&amp;gt; &lt;/ins&gt;==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* &amp;#039;&amp;#039;&amp;#039;Atonality&amp;#039;&amp;#039;&amp;#039; — Music that lacks a tonal center or key.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* &amp;#039;&amp;#039;&amp;#039;Atonality&amp;#039;&amp;#039;&amp;#039; — Music that lacks a tonal center or key.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* &amp;#039;&amp;#039;&amp;#039;Twelve-Tone Technique (Serialism)&amp;#039;&amp;#039;&amp;#039; — A method of composition where all 12 notes of the chromatic scale are treated as equal, usually arranged in a &amp;quot;Tone Row.&amp;quot;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* &amp;#039;&amp;#039;&amp;#039;Twelve-Tone Technique (Serialism)&amp;#039;&amp;#039;&amp;#039; — A method of composition where all 12 notes of the chromatic scale are treated as equal, usually arranged in a &amp;quot;Tone Row.&amp;quot;&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-l17&quot;&gt;Line 17:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 22:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* &amp;#039;&amp;#039;&amp;#039;Total Serialism&amp;#039;&amp;#039;&amp;#039; — Applying the rules of serialism not just to notes, but to rhythm, volume, and articulation.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* &amp;#039;&amp;#039;&amp;#039;Total Serialism&amp;#039;&amp;#039;&amp;#039; — Applying the rules of serialism not just to notes, but to rhythm, volume, and articulation.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* &amp;#039;&amp;#039;&amp;#039;Extended Technique&amp;#039;&amp;#039;&amp;#039; — Using an instrument in a non-traditional way (e.g., playing inside a piano).&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* &amp;#039;&amp;#039;&amp;#039;Extended Technique&amp;#039;&amp;#039;&amp;#039; — Using an instrument in a non-traditional way (e.g., playing inside a piano).&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;&amp;lt;/div&amp;gt;&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; 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;== Understanding ==&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;&amp;lt;div style&lt;/ins&gt;=&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&quot;background-color: #006400; color: #FFFFFF; padding: 20px; border-radius: 8px; margin-bottom: 15px;&quot;&amp;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;= &amp;lt;span style=&quot;color: #FFFFFF;&quot;&amp;gt;&lt;/ins&gt;Understanding&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/span&amp;gt; &lt;/ins&gt;==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The 20th century was a &amp;quot;Revolution&amp;quot; against the past.&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;The 20th century was a &amp;quot;Revolution&amp;quot; against the past.&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 colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l28&quot;&gt;Line 28:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 35:&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;**4. Minimalism (The Return to Simplicity)**: After the extreme complexity of serialism, minimalists went the other way. They used simple triads and constant repetition, focusing on the tiny, slow changes that happen over long periods (The &amp;quot;Phase Effect&amp;quot;).&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;**4. Minimalism (The Return to Simplicity)**: After the extreme complexity of serialism, minimalists went the other way. They used simple triads and constant repetition, focusing on the tiny, slow changes that happen over long periods (The &amp;quot;Phase Effect&amp;quot;).&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;&amp;lt;/div&amp;gt;&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; 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;== Applying ==&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;&amp;lt;div style&lt;/ins&gt;=&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&quot;background-color: #8B0000; color: #FFFFFF; padding: 20px; border-radius: 8px; margin-bottom: 15px;&quot;&amp;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;= &amp;lt;span style=&quot;color: #FFFFFF;&quot;&amp;gt;&lt;/ins&gt;Applying&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/span&amp;gt; &lt;/ins&gt;==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;#039;&amp;#039;&amp;#039;Generating a &amp;#039;Twelve-Tone&amp;#039; Row Logic:&amp;#039;&amp;#039;&amp;#039;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;#039;&amp;#039;&amp;#039;Generating a &amp;#039;Twelve-Tone&amp;#039; Row Logic:&amp;#039;&amp;#039;&amp;#039;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;syntaxhighlight lang=&amp;quot;python&amp;quot;&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;syntaxhighlight lang=&amp;quot;python&amp;quot;&amp;gt;&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-l60&quot;&gt;Line 60:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 69:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;: &amp;#039;&amp;#039;&amp;#039;The New York School&amp;#039;&amp;#039;&amp;#039; → John Cage and others who focused on Zen, silence, and chance.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;: &amp;#039;&amp;#039;&amp;#039;The New York School&amp;#039;&amp;#039;&amp;#039; → John Cage and others who focused on Zen, silence, and chance.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;: &amp;#039;&amp;#039;&amp;#039;Spectralism&amp;#039;&amp;#039;&amp;#039; → French movement (Grisey, Murail) that used computers to analyze the physics of sound to build harmonies.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;: &amp;#039;&amp;#039;&amp;#039;Spectralism&amp;#039;&amp;#039;&amp;#039; → French movement (Grisey, Murail) that used computers to analyze the physics of sound to build harmonies.&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;&amp;lt;/div&amp;gt;&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; 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;== Analyzing ==&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;&amp;lt;div style&lt;/ins&gt;=&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&quot;background-color: #8B4500; color: #FFFFFF; padding: 20px; border-radius: 8px; margin-bottom: 15px;&quot;&amp;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;= &amp;lt;span style=&quot;color: #FFFFFF;&quot;&amp;gt;&lt;/ins&gt;Analyzing&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/span&amp;gt; &lt;/ins&gt;==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{| class=&amp;quot;wikitable&amp;quot;&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;{| class=&amp;quot;wikitable&amp;quot;&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;|+ Tonal vs. Atonal 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;|+ Tonal vs. Atonal Music&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-l76&quot;&gt;Line 76:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 87:&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;**The Concept of &amp;quot;Emancipation of the Dissonance&amp;quot;**: This was Schoenberg&amp;#039;s idea that &amp;quot;dissonance&amp;quot; (tension) no longer needs to be &amp;quot;resolved&amp;quot; (released). In the 20th century, a &amp;quot;clashing&amp;quot; sound is allowed to just *exist* for its own sake. Analyzing this shift is what allows us to understand the &amp;quot;emotional&amp;quot; language of horror movie scores or experimental jazz.&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;**The Concept of &amp;quot;Emancipation of the Dissonance&amp;quot;**: This was Schoenberg&amp;#039;s idea that &amp;quot;dissonance&amp;quot; (tension) no longer needs to be &amp;quot;resolved&amp;quot; (released). In the 20th century, a &amp;quot;clashing&amp;quot; sound is allowed to just *exist* for its own sake. Analyzing this shift is what allows us to understand the &amp;quot;emotional&amp;quot; language of horror movie scores or experimental jazz.&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;&amp;lt;/div&amp;gt;&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; 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;== Evaluating ==&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;&amp;lt;div style&lt;/ins&gt;=&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&quot;background-color: #483D8B; color: #FFFFFF; padding: 20px; border-radius: 8px; margin-bottom: 15px;&quot;&amp;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;= &amp;lt;span style=&quot;color: #FFFFFF;&quot;&amp;gt;&lt;/ins&gt;Evaluating&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/span&amp;gt; &lt;/ins&gt;==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Evaluating 20th-century music: (1) **Systemic Consistency**: Does the music follow its own internal rules (even if those rules are &amp;quot;weird&amp;quot;)? (2) **Innovation**: Does the composer find a new way to organize sound or time? (3) **Perceptibility**: Can the human ear actually hear the complex math the composer used (a common criticism of total serialism)? (4) **Context**: Does the music reflect the fragmentation and anxiety of the modern world (the &amp;quot;Age of Anxiety&amp;quot;)?&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;Evaluating 20th-century music: (1) **Systemic Consistency**: Does the music follow its own internal rules (even if those rules are &amp;quot;weird&amp;quot;)? (2) **Innovation**: Does the composer find a new way to organize sound or time? (3) **Perceptibility**: Can the human ear actually hear the complex math the composer used (a common criticism of total serialism)? (4) **Context**: Does the music reflect the fragmentation and anxiety of the modern world (the &amp;quot;Age of Anxiety&amp;quot;)?&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;&amp;lt;/div&amp;gt;&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; 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;== Creating ==&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;&amp;lt;div style&lt;/ins&gt;=&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&quot;background-color: #2F4F4F; color: #FFFFFF; padding: 20px; border-radius: 8px; margin-bottom: 15px;&quot;&amp;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;= &amp;lt;span style=&quot;color: #FFFFFF;&quot;&amp;gt;&lt;/ins&gt;Creating&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/span&amp;gt; &lt;/ins&gt;==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Future Frontiers: (1) **AI-Driven Avante-Garde**: Using neural networks to discover &amp;quot;Sound-Worlds&amp;quot; that humans cannot imagine. (2) **Bio-Music**: Connecting plants or human brainwaves to synthesizers to create &amp;quot;living&amp;quot; 20th-century music. (3) **XR-Composition**: Creating 3D musical structures that listeners can &amp;quot;walk through&amp;quot; in Virtual Reality. (4) **The New Consonance**: Blending the radical innovations of the 20th century back into &amp;quot;listenable&amp;quot; music for the 21st century.&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;Future Frontiers: (1) **AI-Driven Avante-Garde**: Using neural networks to discover &amp;quot;Sound-Worlds&amp;quot; that humans cannot imagine. (2) **Bio-Music**: Connecting plants or human brainwaves to synthesizers to create &amp;quot;living&amp;quot; 20th-century music. (3) **XR-Composition**: Creating 3D musical structures that listeners can &amp;quot;walk through&amp;quot; in Virtual Reality. (4) **The New Consonance**: Blending the radical innovations of the 20th century back into &amp;quot;listenable&amp;quot; music for the 21st century.&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 colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l86&quot;&gt;Line 86:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 101:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Art]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Art]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:History]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:History]]&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;&amp;lt;/div&amp;gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Wordpad</name></author>
	</entry>
	<entry>
		<id>http://bloomwiki.org/index.php?title=20th_Century_Music_Theory&amp;diff=421&amp;oldid=prev</id>
		<title>Wordpad: BloomWiki: 20th Century Music Theory</title>
		<link rel="alternate" type="text/html" href="http://bloomwiki.org/index.php?title=20th_Century_Music_Theory&amp;diff=421&amp;oldid=prev"/>
		<updated>2026-04-23T13:39:35Z</updated>

		<summary type="html">&lt;p&gt;BloomWiki: 20th Century Music Theory&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{BloomIntro}}&lt;br /&gt;
20th Century Music Theory is the study of the radical break from traditional harmony and rhythm that occurred in the 1900s. After 300 years of &amp;quot;Tonal&amp;quot; music (music with a clear &amp;quot;Home&amp;quot; key), composers began to experiment with **Atonality** (no key), **Polytonality** (multiple keys at once), and **Twelve-Tone Serialism** (treating all 12 notes as equal). This era also saw the exploration of electronic sound, complex mathematical structures, and the &amp;quot;aleatory&amp;quot; (chance) in music. It is a period where the very definition of &amp;quot;Music&amp;quot; was challenged and expanded, moving from &amp;quot;beauty&amp;quot; to &amp;quot;expression,&amp;quot; &amp;quot;concept,&amp;quot; and &amp;quot;sound.&amp;quot;&lt;br /&gt;
&lt;br /&gt;
== Remembering ==&lt;br /&gt;
* &amp;#039;&amp;#039;&amp;#039;Atonality&amp;#039;&amp;#039;&amp;#039; — Music that lacks a tonal center or key.&lt;br /&gt;
* &amp;#039;&amp;#039;&amp;#039;Twelve-Tone Technique (Serialism)&amp;#039;&amp;#039;&amp;#039; — A method of composition where all 12 notes of the chromatic scale are treated as equal, usually arranged in a &amp;quot;Tone Row.&amp;quot;&lt;br /&gt;
* &amp;#039;&amp;#039;&amp;#039;Tone Row&amp;#039;&amp;#039;&amp;#039; — A specific ordering of the 12 chromatic notes used as the basis for a serial composition.&lt;br /&gt;
* &amp;#039;&amp;#039;&amp;#039;Polytonality&amp;#039;&amp;#039;&amp;#039; — The simultaneous use of two or more keys.&lt;br /&gt;
* &amp;#039;&amp;#039;&amp;#039;Minimalism&amp;#039;&amp;#039;&amp;#039; — A style using repetitive patterns, steady pulses, and gradual changes (e.g., Steve Reich, Philip Glass).&lt;br /&gt;
* &amp;#039;&amp;#039;&amp;#039;Aleatory (Chance) Music&amp;#039;&amp;#039;&amp;#039; — Music where some element of the composition is left to chance (e.g., John Cage).&lt;br /&gt;
* &amp;#039;&amp;#039;&amp;#039;Musique Concrète&amp;#039;&amp;#039;&amp;#039; — Music constructed by mixing recorded sounds (natural or man-made).&lt;br /&gt;
* &amp;#039;&amp;#039;&amp;#039;Electronic Music&amp;#039;&amp;#039;&amp;#039; — Music created using electronic oscillators, synthesizers, and computers.&lt;br /&gt;
* &amp;#039;&amp;#039;&amp;#039;Microtonality&amp;#039;&amp;#039;&amp;#039; — Using intervals smaller than a semitone.&lt;br /&gt;
* &amp;#039;&amp;#039;&amp;#039;Polyrhythm&amp;#039;&amp;#039;&amp;#039; — The simultaneous use of two or more conflicting rhythms.&lt;br /&gt;
* &amp;#039;&amp;#039;&amp;#039;Cluster Chord&amp;#039;&amp;#039;&amp;#039; — A dissonant chord consisting of at least three adjacent notes in a scale.&lt;br /&gt;
* &amp;#039;&amp;#039;&amp;#039;Pitch Class Set Theory&amp;#039;&amp;#039;&amp;#039; — A mathematical way of analyzing groups of notes (sets) in atonal music.&lt;br /&gt;
* &amp;#039;&amp;#039;&amp;#039;Total Serialism&amp;#039;&amp;#039;&amp;#039; — Applying the rules of serialism not just to notes, but to rhythm, volume, and articulation.&lt;br /&gt;
* &amp;#039;&amp;#039;&amp;#039;Extended Technique&amp;#039;&amp;#039;&amp;#039; — Using an instrument in a non-traditional way (e.g., playing inside a piano).&lt;br /&gt;
&lt;br /&gt;
== Understanding ==&lt;br /&gt;
The 20th century was a &amp;quot;Revolution&amp;quot; against the past.&lt;br /&gt;
&lt;br /&gt;
**1. The Break from Tonality**: Composers like Arnold Schoenberg felt that &amp;quot;Traditional Harmony&amp;quot; had been exhausted. They invented **Atonality** to create music that was no longer tied to &amp;quot;resolution.&amp;quot; To bring order to this chaos, Schoenberg created the **Twelve-Tone System**, where no note can be repeated until all 11 others have been played.&lt;br /&gt;
&lt;br /&gt;
**2. The Explosion of Rhythm**: Igor Stravinsky&amp;#039;s *The Rite of Spring* changed the world with its &amp;quot;Primal&amp;quot; rhythms. He used &amp;quot;Changing Meters&amp;quot; (4/4, then 5/8, then 3/4) and &amp;quot;Asymmetric Accents&amp;quot; to create music that felt like a machine or a ritual rather than a song.&lt;br /&gt;
&lt;br /&gt;
**3. Sound as Music**: Edgard Varèse famously defined music as &amp;quot;Organized Sound.&amp;quot; He didn&amp;#039;t care about &amp;quot;melodies&amp;quot;; he cared about &amp;quot;Masses,&amp;quot; &amp;quot;Densities,&amp;quot; and &amp;quot;Volumes.&amp;quot; This paved the way for **Electronic Music** and **Noise Music**.&lt;br /&gt;
&lt;br /&gt;
**4. Minimalism (The Return to Simplicity)**: After the extreme complexity of serialism, minimalists went the other way. They used simple triads and constant repetition, focusing on the tiny, slow changes that happen over long periods (The &amp;quot;Phase Effect&amp;quot;).&lt;br /&gt;
&lt;br /&gt;
== Applying ==&lt;br /&gt;
&amp;#039;&amp;#039;&amp;#039;Generating a &amp;#039;Twelve-Tone&amp;#039; Row Logic:&amp;#039;&amp;#039;&amp;#039;&lt;br /&gt;
&amp;lt;syntaxhighlight lang=&amp;quot;python&amp;quot;&amp;gt;&lt;br /&gt;
import random&lt;br /&gt;
&lt;br /&gt;
def generate_tone_row():&lt;br /&gt;
    &amp;quot;&amp;quot;&amp;quot;&lt;br /&gt;
    Schoenberg&amp;#039;s Rule: All 12 notes must appear exactly once.&lt;br /&gt;
    &amp;quot;&amp;quot;&amp;quot;&lt;br /&gt;
    notes = [&amp;#039;C&amp;#039;, &amp;#039;C#&amp;#039;, &amp;#039;D&amp;#039;, &amp;#039;Eb&amp;#039;, &amp;#039;E&amp;#039;, &amp;#039;F&amp;#039;, &amp;#039;F#&amp;#039;, &amp;#039;G&amp;#039;, &amp;#039;Ab&amp;#039;, &amp;#039;A&amp;#039;, &amp;#039;Bb&amp;#039;, &amp;#039;B&amp;#039;]&lt;br /&gt;
    row = random.sample(notes, 12)&lt;br /&gt;
    &lt;br /&gt;
    # Transformations&lt;br /&gt;
    retrograde = row[::-1] # Backward&lt;br /&gt;
    &lt;br /&gt;
    return {&lt;br /&gt;
        &amp;quot;Prime Row&amp;quot;: row,&lt;br /&gt;
        &amp;quot;Retrograde&amp;quot;: retrograde&lt;br /&gt;
    }&lt;br /&gt;
&lt;br /&gt;
# Creating the &amp;#039;DNA&amp;#039; of a Serial piece&lt;br /&gt;
print(generate_tone_row()[&amp;quot;Prime Row&amp;quot;])&lt;br /&gt;
# From this one row, a composer can build an entire &lt;br /&gt;
# symphony without ever repeating a &amp;#039;key&amp;#039;.&lt;br /&gt;
&amp;lt;/syntaxhighlight&amp;gt;&lt;br /&gt;
&lt;br /&gt;
; Theoretical Movements&lt;br /&gt;
: &amp;#039;&amp;#039;&amp;#039;The Second Viennese School&amp;#039;&amp;#039;&amp;#039; → Schoenberg, Berg, and Webern (The masters of Serialism).&lt;br /&gt;
: &amp;#039;&amp;#039;&amp;#039;The Darmstadt School&amp;#039;&amp;#039;&amp;#039; → Post-WWII composers (Stockhausen, Boulez) who pushed serialism to its logical extreme.&lt;br /&gt;
: &amp;#039;&amp;#039;&amp;#039;The New York School&amp;#039;&amp;#039;&amp;#039; → John Cage and others who focused on Zen, silence, and chance.&lt;br /&gt;
: &amp;#039;&amp;#039;&amp;#039;Spectralism&amp;#039;&amp;#039;&amp;#039; → French movement (Grisey, Murail) that used computers to analyze the physics of sound to build harmonies.&lt;br /&gt;
&lt;br /&gt;
== Analyzing ==&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+ Tonal vs. Atonal Music&lt;br /&gt;
! Feature !! Tonal (Classical/Pop) !! Atonal (20th Century)&lt;br /&gt;
|-&lt;br /&gt;
| Center || Home Key (Tonic) || No Center&lt;br /&gt;
|-&lt;br /&gt;
| Progression || Tension and Resolution || Constant Tension / Avoidance of Resolution&lt;br /&gt;
|-&lt;br /&gt;
| Grammar || Chords and Scales || Sets and Intervals&lt;br /&gt;
|-&lt;br /&gt;
| Listening Focus || Melody and Harmony || Texture, Rhythm, and Sound Color&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
**The Concept of &amp;quot;Emancipation of the Dissonance&amp;quot;**: This was Schoenberg&amp;#039;s idea that &amp;quot;dissonance&amp;quot; (tension) no longer needs to be &amp;quot;resolved&amp;quot; (released). In the 20th century, a &amp;quot;clashing&amp;quot; sound is allowed to just *exist* for its own sake. Analyzing this shift is what allows us to understand the &amp;quot;emotional&amp;quot; language of horror movie scores or experimental jazz.&lt;br /&gt;
&lt;br /&gt;
== Evaluating ==&lt;br /&gt;
Evaluating 20th-century music: (1) **Systemic Consistency**: Does the music follow its own internal rules (even if those rules are &amp;quot;weird&amp;quot;)? (2) **Innovation**: Does the composer find a new way to organize sound or time? (3) **Perceptibility**: Can the human ear actually hear the complex math the composer used (a common criticism of total serialism)? (4) **Context**: Does the music reflect the fragmentation and anxiety of the modern world (the &amp;quot;Age of Anxiety&amp;quot;)?&lt;br /&gt;
&lt;br /&gt;
== Creating ==&lt;br /&gt;
Future Frontiers: (1) **AI-Driven Avante-Garde**: Using neural networks to discover &amp;quot;Sound-Worlds&amp;quot; that humans cannot imagine. (2) **Bio-Music**: Connecting plants or human brainwaves to synthesizers to create &amp;quot;living&amp;quot; 20th-century music. (3) **XR-Composition**: Creating 3D musical structures that listeners can &amp;quot;walk through&amp;quot; in Virtual Reality. (4) **The New Consonance**: Blending the radical innovations of the 20th century back into &amp;quot;listenable&amp;quot; music for the 21st century.&lt;br /&gt;
&lt;br /&gt;
[[Category:Music Theory]]&lt;br /&gt;
[[Category:Art]]&lt;br /&gt;
[[Category:History]]&lt;/div&gt;</summary>
		<author><name>Wordpad</name></author>
	</entry>
</feed>