5/3: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
{| class="wikitable"
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
|-
: This revision was by author [[User:k9assassin|k9assassin]] and made on <tt>2015-03-24 19:00:16 UTC</tt>.<br>
| | [[File:glyph_5_3.png|alt=glyph 5 3.png|111x113px|glyph 5 3.png]]
: The original revision id was <tt>545205988</tt>.<br>
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: The revision comment was: <tt></tt><br>
| | JI Glyph of 5/3
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>
<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">[[image:glyph 5 3.png width="111" height="113" caption="JI Glyph of 5/3"]]


**5/3**
'''5/3'''
|0 -1 1&gt;
|0 -1 1&gt;
884.35871 cents
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.
[[File:jid_5_3_pluck_adu_dr220.mp3]] [[:File:jid_5_3_pluck_adu_dr220.mp3|sound sample]]
 
In [[5-limit|5-limit]] [[Just_intonation|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|12edo]] and [[Meantone|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.


See: [[Gallery of Just Intervals]]</pre></div>
See: [[Gallery_of_Just_Intervals|Gallery of Just Intervals]]     [[Category:5-limit]]
<h4>Original HTML content:</h4>
[[Category:interval]]
<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;5_3&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextLocalImageRule:1:&amp;lt;img src=&amp;quot;/file/view/glyph%205%203.png/545205914/111x113/glyph%205%203.png&amp;quot; alt=&amp;quot;JI Glyph of 5/3&amp;quot; title=&amp;quot;JI Glyph of 5/3&amp;quot; style=&amp;quot;height: 113px; width: 111px;&amp;quot; /&amp;gt; --&gt;&lt;table class="captionBox"&gt;&lt;tr&gt;&lt;td class="captionedImage"&gt;&lt;img src="/file/view/glyph%205%203.png/545205914/111x113/glyph%205%203.png" alt="glyph 5 3.png" title="glyph 5 3.png" style="height: 113px; width: 111px;" /&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td class="imageCaption"&gt;JI Glyph of 5/3&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;&lt;!-- ws:end:WikiTextLocalImageRule:1 --&gt;&lt;br /&gt;
[[Category:just_interval]]
&lt;br /&gt;
[[Category:ratio]]
&lt;strong&gt;5/3&lt;/strong&gt;&lt;br /&gt;
|0 -1 1&amp;gt;&lt;br /&gt;
884.35871 cents&lt;br /&gt;
&lt;!-- ws:start:WikiTextMediaRule:0:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_5_3_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_5_3_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_5_3_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_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');"&gt;sound sample&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
In &lt;a class="wiki_link" href="/5-limit"&gt;5-limit&lt;/a&gt; &lt;a class="wiki_link" href="/Just%20Intonation"&gt;Just Intonation&lt;/a&gt;, 5/3 is a major sixth of about 884.4¢. It represents the difference between the 5th and 3rd overtones of the &lt;a class="wiki_link" href="/OverToneSeries"&gt;harmonic series&lt;/a&gt;, and appears in just chords such as 3:4:5 (a 2nd inversion major triad). Its inversion is &lt;a class="wiki_link" href="/6_5"&gt;6/5&lt;/a&gt;, the 5-limit minor third. It differs from the Pythagorean major sixth of &lt;a class="wiki_link" href="/27_16"&gt;27/16&lt;/a&gt; (about 905.9¢) by the syntonic comma of &lt;a class="wiki_link" href="/81_80"&gt;81/80&lt;/a&gt; (about 21.5¢). This means that in systems which temper out the syntonic comma, such as &lt;a class="wiki_link" href="/12edo"&gt;12edo&lt;/a&gt; and &lt;a class="wiki_link" href="/meantone"&gt;meantone&lt;/a&gt; systems, 5/3 and 27/16 are conflated.&lt;br /&gt;
&lt;br /&gt;
5/3 has a more mellow sound than 27/16, owing to its relative smallness.&lt;br /&gt;
&lt;br /&gt;
See: &lt;a class="wiki_link" href="/Gallery%20of%20Just%20Intervals"&gt;Gallery of Just Intervals&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 00:00, 17 July 2018

glyph 5 3.png
JI Glyph of 5/3

5/3 |0 -1 1>

884.35871 cents

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 harmonic series, and appears in just chords such as 3:4:5 (a 2nd inversion major triad). Its inversion is 6/5, the 5-limit minor third. It differs from the Pythagorean major sixth of 27/16 (about 905.9¢) by the syntonic comma of 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

Retrieved from "https://en.xen.wiki/index.php?title=5/3&oldid=886"