Periods and generators: Difference between revisions
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<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html"><span style="display: block; text-align: right;">[[ジェネレーターとピリオド|日本語]] | <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html"><span style="display: block; text-align: right;">[[ジェネレーターとピリオド|日本語]] | ||
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=Introduction to Generators= | =Introduction to Generators= | ||
A **generator** or **generating interval** is an interval which is stacked repeatedly on top of itself to form a scale, an EDO, or part or whole of a tempered structure. The resulting chain of stacked generators is often called a **generator chain**. Although they may seem somewhat abstract at first, generator chains are fairly simple to understand, and are important in developing an intuitive understanding of regular temperament theory. | A **generator** or **generating interval** is an interval which is stacked repeatedly on top of itself to form a scale, an EDO, or part or whole of a tempered structure. The resulting chain of stacked generators is often called a **generator chain**. Although they may seem somewhat abstract at first, generator chains are fairly simple to understand, and are important in developing an intuitive understanding of regular temperament theory. | ||
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<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>periods and generators</title></head><body><span style="display: block; text-align: right;"><a class="wiki_link" href="/%E3%82%B8%E3%82%A7%E3%83%8D%E3%83%AC%E3%83%BC%E3%82%BF%E3%83%BC%E3%81%A8%E3%83%94%E3%83%AA%E3%82%AA%E3%83%89">日本語</a><br /> | <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>periods and generators</title></head><body><span style="display: block; text-align: right;"><a class="wiki_link" href="/%E3%82%B8%E3%82%A7%E3%83%8D%E3%83%AC%E3%83%BC%E3%82%BF%E3%83%BC%E3%81%A8%E3%83%94%E3%83%AA%E3%82%AA%E3%83%89">日本語</a><br /> | ||
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<!-- ws:start:WikiTextTocRule:8:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:8 --><!-- ws:start:WikiTextTocRule:9: --><a href="#Introduction to Generators">Introduction to Generators</a><!-- ws:end:WikiTextTocRule:9 --><!-- ws:start:WikiTextTocRule:10: --> | <a href="#Equal Temperaments">Equal Temperaments</a><!-- ws:end:WikiTextTocRule:10 --><!-- ws:start:WikiTextTocRule:11: --> | <a href="#Introduction to Periods">Introduction to Periods</a><!-- ws:end:WikiTextTocRule:11 --><!-- ws:start:WikiTextTocRule:12: --> | <a href="#Fractional-Octave Periods">Fractional-Octave Periods</a><!-- ws:end:WikiTextTocRule:12 --><!-- ws:start:WikiTextTocRule:13: --> | |||
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<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Introduction to Generators"></a><!-- ws:end:WikiTextHeadingRule:0 -->Introduction to Generators</h1> | <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Introduction to Generators"></a><!-- ws:end:WikiTextHeadingRule:0 -->Introduction to Generators</h1> | ||
A <strong>generator</strong> or <strong>generating interval</strong> is an interval which is stacked repeatedly on top of itself to form a scale, an EDO, or part or whole of a tempered structure. The resulting chain of stacked generators is often called a <strong>generator chain</strong>. Although they may seem somewhat abstract at first, generator chains are fairly simple to understand, and are important in developing an intuitive understanding of regular temperament theory.<br /> | A <strong>generator</strong> or <strong>generating interval</strong> is an interval which is stacked repeatedly on top of itself to form a scale, an EDO, or part or whole of a tempered structure. The resulting chain of stacked generators is often called a <strong>generator chain</strong>. Although they may seem somewhat abstract at first, generator chains are fairly simple to understand, and are important in developing an intuitive understanding of regular temperament theory.<br /> | ||