Just perfect fifth: Difference between revisions

Wikispaces>spt3125
**Imported revision 513181966 - Original comment: added audio example**
Wikispaces>spt3125
**Imported revision 513196684 - 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:spt3125|spt3125]] and made on <tt>2014-06-07 11:35:24 UTC</tt>.<br>
: This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-07 16:26:28 UTC</tt>.<br>
: The original revision id was <tt>513181966</tt>.<br>
: The original revision id was <tt>513196684</tt>.<br>
: The revision comment was: <tt>added audio example</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">[[media type="file" key="jid_3_2_pluck_adu_dr220.mp3"]]
<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">[[media type="file" key="jid_3_2_pluck_adu_dr220.mp3" width="240" height="20"]] [[file:xenharmonic/jid_3_2_pluck_adu_dr220.mp3|sound sample]]


The **just perfect fifth** is the largest [[superparticular]] [[Gallery of Just Intervals|interval]] spanning the distance between the 2nd and 3rd harmonics. It has a frequency ratio of 3:2 with a width is 701.955 cents. It's an interval with low [[harmonic entropy]], and therefore high consonance.
The **just perfect fifth** is the largest [[superparticular]] [[Gallery of Just Intervals|interval]], spanning the distance between the 2nd and 3rd harmonics. It has a frequency ratio of 3:2, with a size of approximately 701.96 cents. It is an interval with low [[harmonic entropy]], and therefore high consonance.


Variations of the fifth (whether just or not) appear in most music of the world. On a harmonic instrument, the third harmonic is usually the loudest which is not an octave double of the fundamental. Treatment of the perfect fifth as consonant historically precedes treatment of the major third (see [[5_4|5:4]]) as consonant. 3:2 is the simple JI interval best approximated by [[12edo]], after the [[octave]].
Variations of the fifth (whether just or not) appear in most music of the world. On a harmonic instrument, the third harmonic is usually the loudest which is not an octave double of the fundamental. Treatment of the perfect fifth as consonant historically precedes treatment of the major third (see [[5_4|5:4]]) as consonant. 3:2 is the simple JI interval best approximated by [[12edo]], after the [[octave]].
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...see also [[http://en.wikipedia.org/wiki/Perfect_fifth|Perfect fifth on Wikipedia]].</pre></div>
...see also [[http://en.wikipedia.org/wiki/Perfect_fifth|Perfect fifth on Wikipedia]].</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;just perfect fifth&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextMediaRule:0:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_3_2_pluck_adu_dr220.mp3?h=20&amp;amp;w=240&amp;quot; class=&amp;quot;WikiMedia WikiMediaFile&amp;quot; id=&amp;quot;wikitext@@media@@type=&amp;amp;quot;file&amp;amp;quot; key=&amp;amp;quot;jid_3_2_pluck_adu_dr220.mp3&amp;amp;quot;&amp;quot; title=&amp;quot;Local Media File&amp;quot;height=&amp;quot;20&amp;quot; width=&amp;quot;240&amp;quot;/&amp;gt; --&gt;&lt;embed src="/s/mediaplayer.swf" pluginspage="http://www.macromedia.com/go/getflashplayer" type="application/x-shockwave-flash" quality="high" width="240" height="20" wmode="transparent" flashvars="file=http%253A%252F%252Fxenharmonic.wikispaces.com%252Ffile%252Fview%252Fjid_3_2_pluck_adu_dr220.mp3?file_extension=mp3&amp;autostart=false&amp;repeat=false&amp;showdigits=true&amp;showfsbutton=false&amp;width=240&amp;height=20"&gt;&lt;/embed&gt;&lt;!-- ws:end:WikiTextMediaRule:0 --&gt;&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;just perfect fifth&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextMediaRule:0:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_3_2_pluck_adu_dr220.mp3?h=20&amp;amp;w=240&amp;quot; class=&amp;quot;WikiMedia WikiMediaFile&amp;quot; id=&amp;quot;wikitext@@media@@type=&amp;amp;quot;file&amp;amp;quot; key=&amp;amp;quot;jid_3_2_pluck_adu_dr220.mp3&amp;amp;quot; width=&amp;amp;quot;240&amp;amp;quot; height=&amp;amp;quot;20&amp;amp;quot;&amp;quot; title=&amp;quot;Local Media File&amp;quot;height=&amp;quot;20&amp;quot; width=&amp;quot;240&amp;quot;/&amp;gt; --&gt;&lt;embed src="/s/mediaplayer.swf" pluginspage="http://www.macromedia.com/go/getflashplayer" type="application/x-shockwave-flash" quality="high" width="240" height="20" wmode="transparent" flashvars="file=http%253A%252F%252Fxenharmonic.wikispaces.com%252Ffile%252Fview%252Fjid_3_2_pluck_adu_dr220.mp3?file_extension=mp3&amp;autostart=false&amp;repeat=false&amp;showdigits=true&amp;showfsbutton=false&amp;width=240&amp;height=20"&gt;&lt;/embed&gt;&lt;!-- ws:end:WikiTextMediaRule:0 --&gt; &lt;a href="http://xenharmonic.wikispaces.com/file/view/jid_3_2_pluck_adu_dr220.mp3/513181952/jid_3_2_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_3_2_pluck_adu_dr220.mp3/513181952/jid_3_2_pluck_adu_dr220.mp3');"&gt;sound sample&lt;/a&gt;&lt;br /&gt;
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The &lt;strong&gt;just perfect fifth&lt;/strong&gt; is the largest &lt;a class="wiki_link" href="/superparticular"&gt;superparticular&lt;/a&gt; &lt;a class="wiki_link" href="/Gallery%20of%20Just%20Intervals"&gt;interval&lt;/a&gt; spanning the distance between the 2nd and 3rd harmonics. It has a frequency ratio of 3:2 with a width is 701.955 cents. It's an interval with low &lt;a class="wiki_link" href="/harmonic%20entropy"&gt;harmonic entropy&lt;/a&gt;, and therefore high consonance.&lt;br /&gt;
The &lt;strong&gt;just perfect fifth&lt;/strong&gt; is the largest &lt;a class="wiki_link" href="/superparticular"&gt;superparticular&lt;/a&gt; &lt;a class="wiki_link" href="/Gallery%20of%20Just%20Intervals"&gt;interval&lt;/a&gt;, spanning the distance between the 2nd and 3rd harmonics. It has a frequency ratio of 3:2, with a size of approximately 701.96 cents. It is an interval with low &lt;a class="wiki_link" href="/harmonic%20entropy"&gt;harmonic entropy&lt;/a&gt;, and therefore high consonance.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Variations of the fifth (whether just or not) appear in most music of the world. On a harmonic instrument, the third harmonic is usually the loudest which is not an octave double of the fundamental. Treatment of the perfect fifth as consonant historically precedes treatment of the major third (see &lt;a class="wiki_link" href="/5_4"&gt;5:4&lt;/a&gt;) as consonant. 3:2 is the simple JI interval best approximated by &lt;a class="wiki_link" href="/12edo"&gt;12edo&lt;/a&gt;, after the &lt;a class="wiki_link" href="/octave"&gt;octave&lt;/a&gt;.&lt;br /&gt;
Variations of the fifth (whether just or not) appear in most music of the world. On a harmonic instrument, the third harmonic is usually the loudest which is not an octave double of the fundamental. Treatment of the perfect fifth as consonant historically precedes treatment of the major third (see &lt;a class="wiki_link" href="/5_4"&gt;5:4&lt;/a&gt;) as consonant. 3:2 is the simple JI interval best approximated by &lt;a class="wiki_link" href="/12edo"&gt;12edo&lt;/a&gt;, after the &lt;a class="wiki_link" href="/octave"&gt;octave&lt;/a&gt;.&lt;br /&gt;