15/11: Difference between revisions

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 cents 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 categories of perfect fourth and tritone. 4 steps of 9edo is an excellent approximation for 15/11.

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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:Sarzadoce|Sarzadoce]] and made on <tt>2011-08-09 00:58:24 UTC</tt>.<br>
+| Color name = 	1uy4, luyo 4th
-: The original revision id was <tt>244976433</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>
+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.
-<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">The undecimal augmented fourth, or 15/11, is the difference between the 11th and 15th partials of the harmonic series. It is 536.95 [[cent|cents]] wide, exactly 45/44 larger than a perfect fourth, and almost exactly a sixth-tone sharper than a [[12edo|12-edo]] fourth. 4 steps of [[9edo|9-edo ]] is an excellent approximation for 15/11.</pre></div>
-<h4>Original HTML content:</h4>
+== See also ==
-<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;The undecimal augmented fourth, or 15/11, is the difference between the 11th and 15th partials of the harmonic series. It is 536.95 &lt;a class="wiki_link" href="/cent"&gt;cents&lt;/a&gt; wide, exactly 45/44 larger than a perfect fourth, and almost exactly a sixth-tone sharper than a &lt;a class="wiki_link" href="/12edo"&gt;12-edo&lt;/a&gt; fourth. 4 steps of &lt;a class="wiki_link" href="/9edo"&gt;9-edo &lt;/a&gt; is an excellent approximation for 15/11.&lt;/body&gt;&lt;/html&gt;</pre></div>
+* [[22/15]] – its [[octave complement]]
+* [[11/10]] – its [[fifth complement]]
+* [[Gallery of just intervals]]
+[[Category:Fourth]]
+[[Category:Superfourth]]
+[[Category:Over-11 intervals]]

15/11: Difference between revisions

Latest revision as of 20:13, 1 January 2025

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