Linear chord: Difference between revisions

Wikispaces>Sarzadoce
**Imported revision 288015534 - Original comment: **
Wikispaces>Sarzadoce
**Imported revision 288016274 - Original comment: **
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:Sarzadoce|Sarzadoce]] and made on <tt>2011-12-21 16:13:04 UTC</tt>.<br>
: This revision was by author [[User:Sarzadoce|Sarzadoce]] and made on <tt>2011-12-21 16:17:01 UTC</tt>.<br>
: The original revision id was <tt>288015534</tt>.<br>
: The original revision id was <tt>288016274</tt>.<br>
: The revision comment was: <tt></tt><br>
: The revision comment was: <tt></tt><br>
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>
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**Note:** [[Dyadic chord|Dyadic]] chords cannot be optimized for proportional beating because they can't be uniquely defined.</pre></div>
**Note:** Essentially tempered [[Dyadic chord|dyadic]] triads cannot be optimized for proportional beating because they cannot be uniquely defined in the harmonic series.</pre></div>
<h4>Original HTML content:</h4>
<h4>Original HTML 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;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;Linear chord&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;Linear Chords&lt;/strong&gt; (also known as Proportionally Beating chords) are a generalization of &lt;a class="wiki_link" href="/isoharmonic%20chords"&gt;Isoharmonic&lt;/a&gt; chords extended to include irrational intervals. So by definition, all &lt;a class="wiki_link" href="/Just%20intonation"&gt;Just&lt;/a&gt; chords are also Linear chords. Additionally, chords such as (1):(1+π):(1+2π):(1+3π) are allowed under this broader definition.&lt;br /&gt;
<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">&lt;html&gt;&lt;head&gt;&lt;title&gt;Linear chord&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;Linear Chords&lt;/strong&gt; (also known as Proportionally Beating chords) are a generalization of &lt;a class="wiki_link" href="/isoharmonic%20chords"&gt;Isoharmonic&lt;/a&gt; chords extended to include irrational intervals. So by definition, all &lt;a class="wiki_link" href="/Just%20intonation"&gt;Just&lt;/a&gt; chords are also Linear chords. Additionally, chords such as (1):(1+π):(1+2π):(1+3π) are allowed under this broader definition.&lt;br /&gt;
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&lt;strong&gt;Note:&lt;/strong&gt; &lt;a class="wiki_link" href="/Dyadic%20chord"&gt;Dyadic&lt;/a&gt; chords cannot be optimized for proportional beating because they can't be uniquely defined.&lt;/body&gt;&lt;/html&gt;</pre></div>
&lt;strong&gt;Note:&lt;/strong&gt; Essentially tempered &lt;a class="wiki_link" href="/Dyadic%20chord"&gt;dyadic&lt;/a&gt; triads cannot be optimized for proportional beating because they cannot be uniquely defined in the harmonic series.&lt;/body&gt;&lt;/html&gt;</pre></div>