5/3
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author spt3125 and made on 2014-06-07 16:30:02 UTC.
- The original revision id was 513196896.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
**5/3** |0 -1 1> 884.35871 cents [[media type="file" key="jid_5_3_pluck_adu_dr220.mp3" width="240" height="20"]] [[file:xenharmonic/jid_5_3_pluck_adu_dr220.mp3|sound sample]] 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. See: [[Gallery of Just Intervals]]
Original HTML content:
<html><head><title>5_3</title></head><body><strong>5/3</strong><br />
|0 -1 1><br />
884.35871 cents<br />
<!-- ws:start:WikiTextMediaRule:0:<img src="http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_5_3_pluck_adu_dr220.mp3?h=20&w=240" class="WikiMedia WikiMediaFile" id="wikitext@@media@@type=&quot;file&quot; key=&quot;jid_5_3_pluck_adu_dr220.mp3&quot; width=&quot;240&quot; height=&quot;20&quot;" title="Local Media File"height="20" width="240"/> --><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_5_3_pluck_adu_dr220.mp3?file_extension=mp3&autostart=false&repeat=false&showdigits=true&showfsbutton=false&width=240&height=20"></embed><!-- ws:end:WikiTextMediaRule:0 --> <a href="http://xenharmonic.wikispaces.com/file/view/jid_5_3_pluck_adu_dr220.mp3/513182352/jid_5_3_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_5_3_pluck_adu_dr220.mp3/513182352/jid_5_3_pluck_adu_dr220.mp3');">sound sample</a><br />
<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 />
5/3 has a more mellow sound than 27/16, owing to its relative smallness.<br />
<br />
See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a></body></html>