5/3: Difference between revisions
Wikispaces>Andrew_Heathwaite **Imported revision 259808402 - Original comment: ** |
Wikispaces>spt3125 **Imported revision 513182402 - 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: | : This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-07 11:46:39 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>513182402</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> | ||
<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">In [[5-limit]] [[Just Intonation]], 5/3 is a major sixth of about 884.4¢. It represents the difference between the 5th and 3rd overtones of the [[OverToneSeries| | <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">**5/3** | ||
|0 -1 1> | |||
884.35871 cents | |||
[[media type="file" key="jid_5_3_pluck_adu_dr220.mp3"]] | |||
In [[5-limit]] [[Just Intonation]], 5/3 is a major sixth of about 884.4¢. It represents the difference between the 5th and 3rd overtones of the [[OverToneSeries|harmonic series]], and appears in just chords such as 3:4:5 (a 2nd inversion major triad). Its inversion is [[6_5|6/5]], the 5-limit minor third. It differs from the Pythagorean major sixth of [[27_16|27/16]] (about 905.9¢) by the syntonic comma of [[81_80|81/80]] (about 21.5¢). This means that in systems which temper out the syntonic comma, such as [[12edo]] and [[meantone]] systems, 5/3 and 27/16 are conflated. | |||
5/3 has a more mellow sound than 27/16, owing to its relative smallness. | 5/3 has a more mellow sound than 27/16, owing to its relative smallness. | ||
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See: [[Gallery of Just Intervals]]</pre></div> | See: [[Gallery of Just Intervals]]</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"><html><head><title>5_3</title></head><body>In <a class="wiki_link" href="/5-limit">5-limit</a> <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>, 5/3 is a major sixth of about 884.4¢. It represents the difference between the 5th and 3rd overtones of the <a class="wiki_link" href="/OverToneSeries"> | <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>5_3</title></head><body><strong>5/3</strong><br /> | ||
|0 -1 1&gt;<br /> | |||
884.35871 cents<br /> | |||
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<br /> | |||
In <a class="wiki_link" href="/5-limit">5-limit</a> <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>, 5/3 is a major sixth of about 884.4¢. It represents the difference between the 5th and 3rd overtones of the <a class="wiki_link" href="/OverToneSeries">harmonic series</a>, and appears in just chords such as 3:4:5 (a 2nd inversion major triad). Its inversion is <a class="wiki_link" href="/6_5">6/5</a>, the 5-limit minor third. It differs from the Pythagorean major sixth of <a class="wiki_link" href="/27_16">27/16</a> (about 905.9¢) by the syntonic comma of <a class="wiki_link" href="/81_80">81/80</a> (about 21.5¢). This means that in systems which temper out the syntonic comma, such as <a class="wiki_link" href="/12edo">12edo</a> and <a class="wiki_link" href="/meantone">meantone</a> systems, 5/3 and 27/16 are conflated.<br /> | |||
<br /> | <br /> | ||
5/3 has a more mellow sound than 27/16, owing to its relative smallness.<br /> | 5/3 has a more mellow sound than 27/16, owing to its relative smallness.<br /> | ||
<br /> | <br /> | ||
See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a></body></html></pre></div> | See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a></body></html></pre></div> | ||