15/11: Difference between revisions

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**Imported revision 513284516 - Original comment: **
m Text replacement - " {{Interval_Edo_Approximation | " to "{{Interval edo approximation|"
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
{{Infobox Interval
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| Name = undecimal augmented fourth, undecimal grave infra-augmented fourth
: This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-08 22:38:44 UTC</tt>.<br>
| Color name = 1uy4, luyo 4th
: The original revision id was <tt>513284516</tt>.<br>
| Sound = jid_15_11_pluck_adu_dr220.mp3
: 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">**15/11**
|0 1 1 0 -1&gt;
536.95077 cents
[[media type="file" key="jid_15_11_pluck_adu_dr220.mp3" width="240" height="20"]] [[file:xenharmonic/jid_15_11_pluck_adu_dr220.mp3|sound sample]]


The undecimal augmented fourth, or 15/11, is the difference between the 11th and 15th partials of the [[OverToneSeries|harmonic series]]. It is 536.95 [[cent|cents]] wide, exactly [[45_44|45/44]] larger than a perfect fourth, and almost exactly a sixth-tone sharper than a [[12edo]] fourth. It is narrower than [[11_8|11/8]] by exactly [[121_120|121/120]]. 15/11 can be called a [[superfourth]], as it falls between the [[interval category|interval categories]] of [[perfect fourth]] and [[tritone]]. 4 steps of [[9edo]] is an excellent approximation for 15/11.
The interval '''15/11''', known most frequently as the '''undecimal augmented fourth''', is the difference between the 11th and 15th partials of the [[harmonic series]]. It is 536.95 [[cent]]s wide, exactly [[45/44]] larger than a perfect fourth, and almost exactly a sixth-tone sharper than a [[12edo]] fourth. It is narrower than [[11/8]] by exactly [[121/120]], and is wider than [[27/20]] by exactly [[100/99]].  Additionally, it is narrower than [[243/176]] by exactly [[81/80]], which lends to it being called the '''undecimal grave infra-augmented fourth'''. 15/11 can be called a [[superfourth]], as it falls between the [[interval category|interval categories]] of [[perfect fourth]] and [[tritone]]. 4 steps of [[9edo]] is an excellent approximation for 15/11.
== Approximation ==
{{Interval edo approximation|15/11}}
== See also ==
* [[22/15]] – its [[octave complement]]
* [[11/10]] – its [[fifth complement]]
* [[Gallery of just intervals]]


See: [[Gallery of Just Intervals]]</pre></div>
[[Category:Fourth]]
<h4>Original HTML content:</h4>
[[Category:Superfourth]]
<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;15_11&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;15/11&lt;/strong&gt;&lt;br /&gt;
[[Category:Over-11 intervals]]
|0 1 1 0 -1&amp;gt;&lt;br /&gt;
536.95077 cents&lt;br /&gt;
&lt;!-- ws:start:WikiTextMediaRule:0:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_15_11_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_11_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_11_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_11_pluck_adu_dr220.mp3/513214838/jid_15_11_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_15_11_pluck_adu_dr220.mp3/513214838/jid_15_11_pluck_adu_dr220.mp3');"&gt;sound sample&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
The undecimal augmented fourth, or 15/11, is the difference between the 11th and 15th partials of the &lt;a class="wiki_link" href="/OverToneSeries"&gt;harmonic series&lt;/a&gt;. It is 536.95 &lt;a class="wiki_link" href="/cent"&gt;cents&lt;/a&gt; wide, exactly &lt;a class="wiki_link" href="/45_44"&gt;45/44&lt;/a&gt; larger than a perfect fourth, and almost exactly a sixth-tone sharper than a &lt;a class="wiki_link" href="/12edo"&gt;12edo&lt;/a&gt; fourth. It is narrower than &lt;a class="wiki_link" href="/11_8"&gt;11/8&lt;/a&gt; by exactly &lt;a class="wiki_link" href="/121_120"&gt;121/120&lt;/a&gt;. 15/11 can be called a &lt;a class="wiki_link" href="/superfourth"&gt;superfourth&lt;/a&gt;, as it falls between the &lt;a class="wiki_link" href="/interval%20category"&gt;interval categories&lt;/a&gt; of &lt;a class="wiki_link" href="/perfect%20fourth"&gt;perfect fourth&lt;/a&gt; and &lt;a class="wiki_link" href="/tritone"&gt;tritone&lt;/a&gt;. 4 steps of &lt;a class="wiki_link" href="/9edo"&gt;9edo&lt;/a&gt; is an excellent approximation for 15/11.&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>