13/10: Difference between revisions

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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:~~Andrew_Heathwaite~~|~~Andrew_Heathwaite~~]] and made on <tt>~~2011~~-10-07 19:22:18 UTC</tt>.<br>

: This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-07 22:29:13 UTC</tt>.<br>

: The original revision id was <tt>~~262737198~~</tt>.<br>

: The original revision id was <tt>513213514</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">In [[13-limit]] [[Just Intonation]], 13/10 is an [[interseptimal]] interval measuring about 454.2¢. It falls in an ambiguous zone between a wide major third such as [[9_7|9/7]] and a flat perfect fourth such as [[21_16|21/16]]. The descriptor "interseptimal" comes from [[Margo Schulter]], and indicates its position between those two septimal (7-based) extremes. 13/10 appears between the 10th and 13th overtones of the [[OverToneSeries|harmonic series]] and appears in such chords as 8:10:13, a quasi-augmented triad. 13/10 also appears in the relatively-simple 10:13:15 triad, which consists of an interseptimal ultramajor third (13/10) and an interseptimal inframinor third ([[15_13|15/13]]) which stack to make a [[3_2|3/2]] perfect fifth. It is well-approximated in [[24edo]], [[29edo]], [[37edo]], and of course, infinitely many other [[EDO]] systems.

<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">**13/10**

|-1 0 -1 0 0 1>

454.21395 cents

[[media type="file" key="jid_13_10_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_13_10_pluck_adu_dr220.mp3|sound sample]]

In [[13-limit]] [[Just Intonation]], 13/10 is an [[interseptimal]] interval measuring about 454.2¢. It falls in an ambiguous zone between a wide major third such as [[9_7|9/7]] and a flat perfect fourth such as [[21_16|21/16]]. The descriptor "interseptimal" comes from [[Margo Schulter]], and indicates its position between those two septimal (7-based) extremes. 13/10 appears between the 10th and 13th overtones of the [[OverToneSeries|harmonic series]] and appears in such chords as 8:10:13, a quasi-augmented triad. 13/10 also appears in the relatively-simple 10:13:15 triad, which consists of an interseptimal ultramajor third (13/10) and an interseptimal inframinor third ([[15_13|15/13]]) which stack to make a [[3_2|3/2]] perfect fifth. It is well-approximated in [[24edo]], [[29edo]], [[37edo]], and of course, infinitely many other [[EDO]] systems.

See: [[Gallery of Just Intervals]], [[List of root-3rd-P5 triads in JI]]</pre></div>

<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>13_10</title></head><body>In <a class="wiki_link" href="/13-limit">13-limit</a> <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>, 13/10 is an <a class="wiki_link" href="/interseptimal">interseptimal</a> interval measuring about 454.2¢. It falls in an ambiguous zone between a wide major third such as <a class="wiki_link" href="/9_7">9/7</a> and a flat perfect fourth such as <a class="wiki_link" href="/21_16">21/16</a>. The descriptor &quot;interseptimal&quot; comes from <a class="wiki_link" href="/Margo%20Schulter">Margo Schulter</a>, and indicates its position between those two septimal (7-based) extremes. 13/10 appears between the 10th and 13th overtones of the <a class="wiki_link" href="/OverToneSeries">harmonic series</a> and appears in such chords as 8:10:13, a quasi-augmented triad. 13/10 also appears in the relatively-simple 10:13:15 triad, which consists of an interseptimal ultramajor third (13/10) and an interseptimal inframinor third (<a class="wiki_link" href="/15_13">15/13</a>) which stack to make a <a class="wiki_link" href="/3_2">3/2</a> perfect fifth. It is well-approximated in <a class="wiki_link" href="/24edo">24edo</a>, <a class="wiki_link" href="/29edo">29edo</a>, <a class="wiki_link" href="/37edo">37edo</a>, and of course, infinitely many other <a class="wiki_link" href="/EDO">EDO</a> systems.<br />

|-1 0 -1 0 0 1&gt;<br />

454.21395 cents<br />

<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_13_10_pluck_adu_dr220.mp3?file_extension=mp3&autostart=false&repeat=false&showdigits=true&showfsbutton=false&width=240&height=20"></embed> <a href="http://xenharmonic.wikispaces.com/file/view/jid_13_10_pluck_adu_dr220.mp3/513213474/jid_13_10_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_13_10_pluck_adu_dr220.mp3/513213474/jid_13_10_pluck_adu_dr220.mp3');">sound sample</a><br />

<br />

In <a class="wiki_link" href="/13-limit">13-limit</a> <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>, 13/10 is an <a class="wiki_link" href="/interseptimal">interseptimal</a> interval measuring about 454.2¢. It falls in an ambiguous zone between a wide major third such as <a class="wiki_link" href="/9_7">9/7</a> and a flat perfect fourth such as <a class="wiki_link" href="/21_16">21/16</a>. The descriptor &quot;interseptimal&quot; comes from <a class="wiki_link" href="/Margo%20Schulter">Margo Schulter</a>, and indicates its position between those two septimal (7-based) extremes. 13/10 appears between the 10th and 13th overtones of the <a class="wiki_link" href="/OverToneSeries">harmonic series</a> and appears in such chords as 8:10:13, a quasi-augmented triad. 13/10 also appears in the relatively-simple 10:13:15 triad, which consists of an interseptimal ultramajor third (13/10) and an interseptimal inframinor third (<a class="wiki_link" href="/15_13">15/13</a>) which stack to make a <a class="wiki_link" href="/3_2">3/2</a> perfect fifth. It is well-approximated in <a class="wiki_link" href="/24edo">24edo</a>, <a class="wiki_link" href="/29edo">29edo</a>, <a class="wiki_link" href="/37edo">37edo</a>, and of course, infinitely many other <a class="wiki_link" href="/EDO">EDO</a> systems.<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></pre></div>

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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:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2011-10-07 19:22:18 UTC</tt>.<br>
+: This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-07 22:29:13 UTC</tt>.<br>
-: The original revision id was <tt>262737198</tt>.<br>
+: The original revision id was <tt>513213514</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">In [[13-limit]] [[Just Intonation]], 13/10 is an [[interseptimal]] interval measuring about 454.2¢. It falls in an ambiguous zone between a wide major third such as [[9_7|9/7]] and a flat perfect fourth such as [[21_16|21/16]]. The descriptor "interseptimal" comes from [[Margo Schulter]], and indicates its position between those two septimal (7-based) extremes. 13/10 appears between the 10th and 13th overtones of the [[OverToneSeries|harmonic series]] and appears in such chords as 8:10:13, a quasi-augmented triad. 13/10 also appears in the relatively-simple 10:13:15 triad, which consists of an interseptimal ultramajor third (13/10) and an interseptimal inframinor third ([[15_13|15/13]]) which stack to make a [[3_2|3/2]] perfect fifth. It is well-approximated in [[24edo]], [[29edo]], [[37edo]], and of course, infinitely many other [[EDO]] systems.
+<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">**13/10**
+|-1 0 -1 0 0 1&gt;
+.21395 cents
+[[media type="file" key="jid_13_10_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_13_10_pluck_adu_dr220.mp3|sound sample]]
+In [[13-limit]] [[Just Intonation]], 13/10 is an [[interseptimal]] interval measuring about 454.2¢. It falls in an ambiguous zone between a wide major third such as [[9_7|9/7]] and a flat perfect fourth such as [[21_16|21/16]]. The descriptor "interseptimal" comes from [[Margo Schulter]], and indicates its position between those two septimal (7-based) extremes. 13/10 appears between the 10th and 13th overtones of the [[OverToneSeries|harmonic series]] and appears in such chords as 8:10:13, a quasi-augmented triad. 13/10 also appears in the relatively-simple 10:13:15 triad, which consists of an interseptimal ultramajor third (13/10) and an interseptimal inframinor third ([[15_13|15/13]]) which stack to make a [[3_2|3/2]] perfect fifth. It is well-approximated in [[24edo]], [[29edo]], [[37edo]], and of course, infinitely many other [[EDO]] systems.
 See: [[Gallery of Just Intervals]], [[List of root-3rd-P5 triads in JI]]</pre></div>
 <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;13_10&lt;/title&gt;&lt;/head&gt;&lt;body&gt;In &lt;a class="wiki_link" href="/13-limit"&gt;13-limit&lt;/a&gt; &lt;a class="wiki_link" href="/Just%20Intonation"&gt;Just Intonation&lt;/a&gt;, 13/10 is an &lt;a class="wiki_link" href="/interseptimal"&gt;interseptimal&lt;/a&gt; interval measuring about 454.2¢. It falls in an ambiguous zone between a wide major third such as &lt;a class="wiki_link" href="/9_7"&gt;9/7&lt;/a&gt; and a flat perfect fourth such as &lt;a class="wiki_link" href="/21_16"&gt;21/16&lt;/a&gt;. The descriptor &amp;quot;interseptimal&amp;quot; comes from &lt;a class="wiki_link" href="/Margo%20Schulter"&gt;Margo Schulter&lt;/a&gt;, and indicates its position between those two septimal (7-based) extremes. 13/10 appears between the 10th and 13th overtones of the &lt;a class="wiki_link" href="/OverToneSeries"&gt;harmonic series&lt;/a&gt; and appears in such chords as 8:10:13, a quasi-augmented triad. 13/10 also appears in the relatively-simple 10:13:15 triad, which consists of an interseptimal ultramajor third (13/10) and an interseptimal inframinor third (&lt;a class="wiki_link" href="/15_13"&gt;15/13&lt;/a&gt;) which stack to make a &lt;a class="wiki_link" href="/3_2"&gt;3/2&lt;/a&gt; perfect fifth. It is well-approximated in &lt;a class="wiki_link" href="/24edo"&gt;24edo&lt;/a&gt;, &lt;a class="wiki_link" href="/29edo"&gt;29edo&lt;/a&gt;, &lt;a class="wiki_link" href="/37edo"&gt;37edo&lt;/a&gt;, and of course, infinitely many other &lt;a class="wiki_link" href="/EDO"&gt;EDO&lt;/a&gt; systems.&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;13_10&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;13/10&lt;/strong&gt;&lt;br /&gt;
+|-1 0 -1 0 0 1&amp;gt;&lt;br /&gt;
+.21395 cents&lt;br /&gt;
+&lt;!-- ws:start:WikiTextMediaRule:0:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_13_10_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_13_10_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_13_10_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_13_10_pluck_adu_dr220.mp3/513213474/jid_13_10_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_13_10_pluck_adu_dr220.mp3/513213474/jid_13_10_pluck_adu_dr220.mp3');"&gt;sound sample&lt;/a&gt;&lt;br /&gt;
+&lt;br /&gt;
+In &lt;a class="wiki_link" href="/13-limit"&gt;13-limit&lt;/a&gt; &lt;a class="wiki_link" href="/Just%20Intonation"&gt;Just Intonation&lt;/a&gt;, 13/10 is an &lt;a class="wiki_link" href="/interseptimal"&gt;interseptimal&lt;/a&gt; interval measuring about 454.2¢. It falls in an ambiguous zone between a wide major third such as &lt;a class="wiki_link" href="/9_7"&gt;9/7&lt;/a&gt; and a flat perfect fourth such as &lt;a class="wiki_link" href="/21_16"&gt;21/16&lt;/a&gt;. The descriptor &amp;quot;interseptimal&amp;quot; comes from &lt;a class="wiki_link" href="/Margo%20Schulter"&gt;Margo Schulter&lt;/a&gt;, and indicates its position between those two septimal (7-based) extremes. 13/10 appears between the 10th and 13th overtones of the &lt;a class="wiki_link" href="/OverToneSeries"&gt;harmonic series&lt;/a&gt; and appears in such chords as 8:10:13, a quasi-augmented triad. 13/10 also appears in the relatively-simple 10:13:15 triad, which consists of an interseptimal ultramajor third (13/10) and an interseptimal inframinor third (&lt;a class="wiki_link" href="/15_13"&gt;15/13&lt;/a&gt;) which stack to make a &lt;a class="wiki_link" href="/3_2"&gt;3/2&lt;/a&gt; perfect fifth. It is well-approximated in &lt;a class="wiki_link" href="/24edo"&gt;24edo&lt;/a&gt;, &lt;a class="wiki_link" href="/29edo"&gt;29edo&lt;/a&gt;, &lt;a class="wiki_link" href="/37edo"&gt;37edo&lt;/a&gt;, and of course, infinitely many other &lt;a class="wiki_link" href="/EDO"&gt;EDO&lt;/a&gt; systems.&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;a class="wiki_link" href="/List%20of%20root-3rd-P5%20triads%20in%20JI"&gt;List of root-3rd-P5 triads in JI&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>