6/5: Difference between revisions

Revision as of 18:58, 24 March 2015

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This revision was by author k9assassin and made on 2015-03-24 18:58:23 UTC.

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Original Wikitext content:

[[image:glyph 6 5.png width="112" height="114" caption="JI Glyph of 6/5"]]

**6/5**
|1 1 -1>
315.64129 cents
[[media type="file" key="jid_6_5_pluck_adu_dr220.mp3" width="240" height="20"]] [[file:xenharmonic/jid_6_5_pluck_adu_dr220.mp3|sound sample]]

In [[5-limit]] [[Just Intonation]], **6/5** is the classic minor third, measuring about 315.6[[Cent|¢]]. It is sharp of the [[Pythagorean]] minor third of [[32_27|32/27]] (about 294.1¢) as well as the 300¢ minor third of [[4edo]], [[12edo]] and all other 4n-[[edo]]s. It arises in the [[OverToneSeries|harmonic series]] between the 5th and 6th overtones and appears in the [[5-limit]] otonal triad of 4:5:6. A 5-limit minor triad in just intonation can be written 10:12:15, with 6/5 falling between 10 and 12, [[5_4|5/4]] falling between 12 and 15, and [[3_2|3/2]] falling between 10 and 15.

In higher-limit JI, 6/5 is only one of many minor thirds. A popular one in the [[7-limit]] is [[7_6|7/6]] (about 266.9¢), the septimal subminor third, which is [[36_35|36/35]] (about 48.8¢) flat of 6/5. Another in the [[13-limit]] is [[13_11|13/11]] (about 289.2¢), which is [[66_65|66/65]] (about 26.4¢) flat of 6/5. Both of these are more complex intervals than 6/5 and have their own character to them.

See: [[Gallery of Just Intervals]], [[List of root-3rd-P5 triads in JI]]

Original HTML content:

<html><head><title>6_5</title></head><body><!-- ws:start:WikiTextLocalImageRule:1:&lt;img src=&quot;/file/view/glyph%206%205.png/545205748/112x114/glyph%206%205.png&quot; alt=&quot;JI Glyph of 6/5&quot; title=&quot;JI Glyph of 6/5&quot; style=&quot;height: 114px; width: 112px;&quot; /&gt; --><table class="captionBox"><tr><td class="captionedImage"><img src="/file/view/glyph%206%205.png/545205748/112x114/glyph%206%205.png" alt="glyph 6 5.png" title="glyph 6 5.png" style="height: 114px; width: 112px;" /></td></tr><tr><td class="imageCaption">JI Glyph of 6/5</td></tr></table><!-- ws:end:WikiTextLocalImageRule:1 --><br />
<br />
<strong>6/5</strong><br />
|1 1 -1&gt;<br />
315.64129 cents<br />
<!-- ws:start:WikiTextMediaRule:0:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_6_5_pluck_adu_dr220.mp3?h=20&amp;w=240&quot; class=&quot;WikiMedia WikiMediaFile&quot; id=&quot;wikitext@@media@@type=&amp;quot;file&amp;quot; key=&amp;quot;jid_6_5_pluck_adu_dr220.mp3&amp;quot; width=&amp;quot;240&amp;quot; height=&amp;quot;20&amp;quot;&quot; title=&quot;Local Media File&quot;height=&quot;20&quot; width=&quot;240&quot;/&gt; --><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_6_5_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_6_5_pluck_adu_dr220.mp3/513182780/jid_6_5_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_6_5_pluck_adu_dr220.mp3/513182780/jid_6_5_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>, <strong>6/5</strong> is the classic minor third, measuring about 315.6<a class="wiki_link" href="/Cent">¢</a>. It is sharp of the <a class="wiki_link" href="/Pythagorean">Pythagorean</a> minor third of <a class="wiki_link" href="/32_27">32/27</a> (about 294.1¢) as well as the 300¢ minor third of <a class="wiki_link" href="/4edo">4edo</a>, <a class="wiki_link" href="/12edo">12edo</a> and all other 4n-<a class="wiki_link" href="/edo">edo</a>s. It arises in the <a class="wiki_link" href="/OverToneSeries">harmonic series</a> between the 5th and 6th overtones and appears in the <a class="wiki_link" href="/5-limit">5-limit</a> otonal triad of 4:5:6. A 5-limit minor triad in just intonation can be written 10:12:15, with 6/5 falling between 10 and 12, <a class="wiki_link" href="/5_4">5/4</a> falling between 12 and 15, and <a class="wiki_link" href="/3_2">3/2</a> falling between 10 and 15.<br />
<br />
In higher-limit JI, 6/5 is only one of many minor thirds. A popular one in the <a class="wiki_link" href="/7-limit">7-limit</a> is <a class="wiki_link" href="/7_6">7/6</a> (about 266.9¢), the septimal subminor third, which is <a class="wiki_link" href="/36_35">36/35</a> (about 48.8¢) flat of 6/5. Another in the <a class="wiki_link" href="/13-limit">13-limit</a> is <a class="wiki_link" href="/13_11">13/11</a> (about 289.2¢), which is <a class="wiki_link" href="/66_65">66/65</a> (about 26.4¢) flat of 6/5. Both of these are more complex intervals than 6/5 and have their own character to them.<br />
<br />
See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a>, <a class="wiki_link" href="/List%20of%20root-3rd-P5%20triads%20in%20JI">List of root-3rd-P5 triads in JI</a></body></html>

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 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 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 18:58:07 UTC</tt>.<br>
+: This revision was by author [[User:k9assassin|k9assassin]] and made on <tt>2015-03-24 18:58:23 UTC</tt>.<br>
-: The original revision id was <tt>545205768</tt>.<br>
+: The original revision id was <tt>545205796</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>
 <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 6 5.png width="112" height="114"]]
+<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 6 5.png width="112" height="114" caption="JI Glyph of 6/5"]]
 **6/5**
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 See: [[Gallery of Just Intervals]], [[List of root-3rd-P5 triads in JI]]</pre></div>
 <h4>Original HTML content:</h4>
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+<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;6_5&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextLocalImageRule:1:&amp;lt;img src=&amp;quot;/file/view/glyph%206%205.png/545205748/112x114/glyph%206%205.png&amp;quot; alt=&amp;quot;JI Glyph of 6/5&amp;quot; title=&amp;quot;JI Glyph of 6/5&amp;quot; style=&amp;quot;height: 114px; width: 112px;&amp;quot; /&amp;gt; --&gt;&lt;table class="captionBox"&gt;&lt;tr&gt;&lt;td class="captionedImage"&gt;&lt;img src="/file/view/glyph%206%205.png/545205748/112x114/glyph%206%205.png" alt="glyph 6 5.png" title="glyph 6 5.png" style="height: 114px; width: 112px;" /&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td class="imageCaption"&gt;JI Glyph of 6/5&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;&lt;!-- ws:end:WikiTextLocalImageRule:1 --&gt;&lt;br /&gt;
 &lt;br /&gt;
 &lt;strong&gt;6/5&lt;/strong&gt;&lt;br /&gt;

6/5: Difference between revisions

Revision as of 18:58, 24 March 2015

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