27/20: Difference between revisions

Wikispaces>Andrew_Heathwaite
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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 = wolf fourth, classic acute fourth
: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2011-10-07 21:48:41 UTC</tt>.<br>
| Color name = g4, gu 4th
: The original revision id was <tt>262755850</tt>.<br>
| Sound = jid_27_20_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">In [[5-limit]] [[Just Intonation]], 27/20 is an interval measuring about 519.6¢. It differs from the [[4_3|4/3]] perfect fourth by [[81_80|81/80]] (about 21.5¢), the syntonic comma. It arises naturally in JI as (for instance) the difference between a 5-limit major third and a stack of five [[3_2|3/2]] perfect fifths. In [[12edo]] and [[meantone]] systems, this interval would be no different from 4/3, as the syntonic comma is tempered out. 27/20 has been described as a "wolf" interval, implying that it "howls," as compared to simpler intervals within the 5-limit such as [[5_4|5/4]] and [[9_8|9/8]]. Although in a 5-limit context it is traditionally avoided, it can be an essential interval in a harmonic context of higher complexity, where it may be admired for its bright and active character and its distinctness from 4/3.


See: [[Gallery of Just Intervals]]</pre></div>
In [[5-limit]] [[just intonation]], '''27/20''', the '''classic acute fourth''', is an interval measuring about 519.6{{cent}}. It differs from the [[4/3]] perfect fourth by [[81/80]] (about 21.5{{cent}}), the syntonic comma. It arises naturally in JI as (for instance) the difference between a 5-limit major third and a stack of five [[3/2]] perfect fifths, or as the interval between [[10/9]] and [[3/2]]. In [[12edo]] and [[meantone]] systems, this interval would be no different from 4/3, as the syntonic comma is tempered out. 27/20 has been described as a "wolf" interval, implying that it "howls", as compared to simpler intervals within the 5-limit such as [[5/4]] and [[9/8]]. Although in a 5-limit context it is traditionally avoided, it can be an essential interval in a harmonic context of higher complexity, where it may be admired for its bright and active character and its distinctness from 4/3.
<h4>Original HTML content:</h4>
== Approximation ==
<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;27_20&lt;/title&gt;&lt;/head&gt;&lt;body&gt;In &lt;a class="wiki_link" href="/5-limit"&gt;5-limit&lt;/a&gt; &lt;a class="wiki_link" href="/Just%20Intonation"&gt;Just Intonation&lt;/a&gt;, 27/20 is an interval measuring about 519.. It differs from the &lt;a class="wiki_link" href="/4_3"&gt;4/3&lt;/a&gt; perfect fourth by &lt;a class="wiki_link" href="/81_80"&gt;81/80&lt;/a&gt; (about 21.), the syntonic comma. It arises naturally in JI as (for instance) the difference between a 5-limit major third and a stack of five &lt;a class="wiki_link" href="/3_2"&gt;3/2&lt;/a&gt; perfect fifths. In &lt;a class="wiki_link" href="/12edo"&gt;12edo&lt;/a&gt; and &lt;a class="wiki_link" href="/meantone"&gt;meantone&lt;/a&gt; systems, this interval would be no different from 4/3, as the syntonic comma is tempered out. 27/20 has been described as a &amp;quot;wolf&amp;quot; interval, implying that it &amp;quot;howls,&amp;quot; as compared to simpler intervals within the 5-limit such as &lt;a class="wiki_link" href="/5_4"&gt;5/4&lt;/a&gt; and &lt;a class="wiki_link" href="/9_8"&gt;9/8&lt;/a&gt;. Although in a 5-limit context it is traditionally avoided, it can be an essential interval in a harmonic context of higher complexity, where it may be admired for its bright and active character and its distinctness from 4/3.&lt;br /&gt;
{{Interval edo approximation|27/20}}
&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>
== Trivia ==
This ratio is the difference between two common record speeds (45 rpm and "33" rpm). As such, alterations by this interval often occur when a record is played at the wrong speed.
 
== See also ==
* [[40/27]] – its [[octave complement]]
* [[10/9]] – its [[fifth complement]]
* [[Gallery of just intervals]]
 
[[Category:Fourth]]