15/13: 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:~~k9assassin~~|~~k9assassin~~]] and made on <tt>2014-11-18 07:40:32 UTC</tt>.<br>

: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2014-11-18 08:34:09 UTC</tt>.<br>

: The original revision id was <tt>~~531515270~~</tt>.<br>

: The original revision id was <tt>531522490</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>

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[[media type="file" key="jid_15_13_pluck_adu_dr220.mp3" width="240" height="20"]] [[file:xenharmonic/jid_15_13_pluck_adu_dr220.mp3|sound sample]]

In [[13-limit]] [[Just Intonation]], 15/13 is an interval measuring about 247.7¢. In the language of [[Margo Schulter]], 15/13 is an instance of an [[interseptimal]] interval, as it falls in an ambiguous zone between two septimal extremes -- namely the large ~~minor~~ second [[8_7|8/7]] and the small minor third [[7_6|7/6]]. (15/13)*([[13_10|13/10]])=[[3_2|3/2]], which implies that 15/13 and 13/10 make a 3/2 perfect fifth. Thus you can make a [[List of root-3rd-P5 triads in JI|root-3rd-P5]] triad that goes 26:30:39, with a 15/13 "inframinor third" up from the root. When being used as type of second, it is given the name "ultra second" as it is even sharper than 8/7 which is often called a "super major second".

In [[13-limit]] [[Just Intonation]], 15/13 is an interval measuring about 247.7¢. In the language of [[Margo Schulter]], 15/13 is an instance of an [[interseptimal]] interval, as it falls in an ambiguous zone between two septimal extremes -- namely the large major second [[8_7|8/7]] and the small minor third [[7_6|7/6]]. (15/13)*([[13_10|13/10]])=[[3_2|3/2]], which implies that 15/13 and 13/10 make a 3/2 perfect fifth. Thus you can make a [[List of root-3rd-P5 triads in JI|root-3rd-P5]] triad that goes 26:30:39, with a 15/13 "inframinor third" up from the root. When being used as type of second, it is given the name "ultra second" as it is even sharper than 8/7 which is often called a "super major second".

See: [[Gallery of Just Intervals]], [[The Archipelago]]</pre></div>

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<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_15_13_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_15_13_pluck_adu_dr220.mp3/513214930/jid_15_13_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_15_13_pluck_adu_dr220.mp3/513214930/jid_15_13_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>, 15/13 is an interval measuring about 247.7¢. In the language of <a class="wiki_link" href="/Margo%20Schulter">Margo Schulter</a>, 15/13 is an instance of an <a class="wiki_link" href="/interseptimal">interseptimal</a> interval, as it falls in an ambiguous zone between two septimal extremes -- namely the large ~~minor~~ second <a class="wiki_link" href="/8_7">8/7</a> and the small minor third <a class="wiki_link" href="/7_6">7/6</a>. (15/13)*(<a class="wiki_link" href="/13_10">13/10</a>)=<a class="wiki_link" href="/3_2">3/2</a>, which implies that 15/13 and 13/10 make a 3/2 perfect fifth. Thus you can make a <a class="wiki_link" href="/List%20of%20root-3rd-P5%20triads%20in%20JI">root-3rd-P5</a> triad that goes 26:30:39, with a 15/13 &quot;inframinor third&quot; up from the root. When being used as type of second, it is given the name &quot;ultra second&quot; as it is even sharper than 8/7 which is often called a &quot;super major second&quot;. <br />

In <a class="wiki_link" href="/13-limit">13-limit</a> <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>, 15/13 is an interval measuring about 247.7¢. In the language of <a class="wiki_link" href="/Margo%20Schulter">Margo Schulter</a>, 15/13 is an instance of an <a class="wiki_link" href="/interseptimal">interseptimal</a> interval, as it falls in an ambiguous zone between two septimal extremes -- namely the large major second <a class="wiki_link" href="/8_7">8/7</a> and the small minor third <a class="wiki_link" href="/7_6">7/6</a>. (15/13)*(<a class="wiki_link" href="/13_10">13/10</a>)=<a class="wiki_link" href="/3_2">3/2</a>, which implies that 15/13 and 13/10 make a 3/2 perfect fifth. Thus you can make a <a class="wiki_link" href="/List%20of%20root-3rd-P5%20triads%20in%20JI">root-3rd-P5</a> triad that goes 26:30:39, with a 15/13 &quot;inframinor third&quot; up from the root. When being used as type of second, it is given the name &quot;ultra second&quot; as it is even sharper than 8/7 which is often called a &quot;super major second&quot;. <br />

<br />

See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a>, <a class="wiki_link" href="/The%20Archipelago">The Archipelago</a></body></html></pre></div>

@@ Line 1: / Line 1: @@
 <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>2014-11-18 07:40:32 UTC</tt>.<br>
+: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2014-11-18 08:34:09 UTC</tt>.<br>
-: The original revision id was <tt>531515270</tt>.<br>
+: The original revision id was <tt>531522490</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>
@@ Line 11: / Line 11: @@
 [[media type="file" key="jid_15_13_pluck_adu_dr220.mp3" width="240" height="20"]] [[file:xenharmonic/jid_15_13_pluck_adu_dr220.mp3|sound sample]]
-In [[13-limit]] [[Just Intonation]], 15/13 is an interval measuring about 247.7¢. In the language of [[Margo Schulter]], 15/13 is an instance of an [[interseptimal]] interval, as it falls in an ambiguous zone between two septimal extremes -- namely the large minor second [[8_7|8/7]] and the small minor third [[7_6|7/6]]. (15/13)*([[13_10|13/10]])=[[3_2|3/2]], which implies that 15/13 and 13/10 make a 3/2 perfect fifth. Thus you can make a [[List of root-3rd-P5 triads in JI|root-3rd-P5]] triad that goes 26:30:39, with a 15/13 "inframinor third" up from the root. When being used as type of second, it is given the name "ultra second" as it is even sharper than 8/7 which is often called a "super major second".
+In [[13-limit]] [[Just Intonation]], 15/13 is an interval measuring about 247.7¢. In the language of [[Margo Schulter]], 15/13 is an instance of an [[interseptimal]] interval, as it falls in an ambiguous zone between two septimal extremes -- namely the large major second [[8_7|8/7]] and the small minor third [[7_6|7/6]]. (15/13)*([[13_10|13/10]])=[[3_2|3/2]], which implies that 15/13 and 13/10 make a 3/2 perfect fifth. Thus you can make a [[List of root-3rd-P5 triads in JI|root-3rd-P5]] triad that goes 26:30:39, with a 15/13 "inframinor third" up from the root. When being used as type of second, it is given the name "ultra second" as it is even sharper than 8/7 which is often called a "super major second".
 See: [[Gallery of Just Intervals]], [[The Archipelago]]</pre></div>
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 &lt;!-- ws:start:WikiTextMediaRule:0:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_15_13_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_15_13_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_15_13_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_15_13_pluck_adu_dr220.mp3/513214930/jid_15_13_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_15_13_pluck_adu_dr220.mp3/513214930/jid_15_13_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;, 15/13 is an interval measuring about 247.7¢. In the language of &lt;a class="wiki_link" href="/Margo%20Schulter"&gt;Margo Schulter&lt;/a&gt;, 15/13 is an instance of an &lt;a class="wiki_link" href="/interseptimal"&gt;interseptimal&lt;/a&gt; interval, as it falls in an ambiguous zone between two septimal extremes -- namely the large minor second &lt;a class="wiki_link" href="/8_7"&gt;8/7&lt;/a&gt; and the small minor third &lt;a class="wiki_link" href="/7_6"&gt;7/6&lt;/a&gt;. (15/13)*(&lt;a class="wiki_link" href="/13_10"&gt;13/10&lt;/a&gt;)=&lt;a class="wiki_link" href="/3_2"&gt;3/2&lt;/a&gt;, which implies that 15/13 and 13/10 make a 3/2 perfect fifth. Thus you can make a &lt;a class="wiki_link" href="/List%20of%20root-3rd-P5%20triads%20in%20JI"&gt;root-3rd-P5&lt;/a&gt; triad that goes 26:30:39, with a 15/13 &amp;quot;inframinor third&amp;quot; up from the root. When being used as type of second, it is given the name &amp;quot;ultra second&amp;quot; as it is even sharper than 8/7 which is often called a &amp;quot;super major second&amp;quot;. &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;, 15/13 is an interval measuring about 247.7¢. In the language of &lt;a class="wiki_link" href="/Margo%20Schulter"&gt;Margo Schulter&lt;/a&gt;, 15/13 is an instance of an &lt;a class="wiki_link" href="/interseptimal"&gt;interseptimal&lt;/a&gt; interval, as it falls in an ambiguous zone between two septimal extremes -- namely the large major second &lt;a class="wiki_link" href="/8_7"&gt;8/7&lt;/a&gt; and the small minor third &lt;a class="wiki_link" href="/7_6"&gt;7/6&lt;/a&gt;. (15/13)*(&lt;a class="wiki_link" href="/13_10"&gt;13/10&lt;/a&gt;)=&lt;a class="wiki_link" href="/3_2"&gt;3/2&lt;/a&gt;, which implies that 15/13 and 13/10 make a 3/2 perfect fifth. Thus you can make a &lt;a class="wiki_link" href="/List%20of%20root-3rd-P5%20triads%20in%20JI"&gt;root-3rd-P5&lt;/a&gt; triad that goes 26:30:39, with a 15/13 &amp;quot;inframinor third&amp;quot; up from the root. When being used as type of second, it is given the name &amp;quot;ultra second&amp;quot; as it is even sharper than 8/7 which is often called a &amp;quot;super major second&amp;quot;. &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="/The%20Archipelago"&gt;The Archipelago&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>