Periods and generators: Difference between revisions
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The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | ||
<h4>Original Wikitext content:</h4> | <h4>Original Wikitext content:</h4> | ||
<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">=Introduction to Generators= | <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= | |||
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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It should be noted that in the above example, 300 cents is itself generated by 100 cents, which means that strictly speaking, it isn't a second "prime" generator interval. The choice of 100 cent generator was chosen for simplicity, but this isn't true of all tunings for this scale - for example if our generator were 91 cents instead of 100, then the 300 cent period wouldn't consist of 3 stacked generators anymore.</pre></div> | It should be noted that in the above example, 300 cents is itself generated by 100 cents, which means that strictly speaking, it isn't a second "prime" generator interval. The choice of 100 cent generator was chosen for simplicity, but this isn't true of all tunings for this scale - for example if our generator were 91 cents instead of 100, then the 300 cent period wouldn't consist of 3 stacked generators anymore.</pre></div> | ||
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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><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Introduction to Generators"></a><!-- ws:end:WikiTextHeadingRule:0 -->Introduction to Generators</h1> | <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: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 /> | ||
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