27/25: Difference between revisions

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**Imported revision 593235456 - Original comment: **
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
'''27/25'''
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:Chartrekhan|Chartrekhan]] and made on <tt>2016-09-25 09:08:04 UTC</tt>.<br>
: The original revision id was <tt>593235456</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">**27/25**
|0 3 -2&gt;
|0 3 -2&gt;
133.2376 cents
133.2376 cents
[[media type="file" key="jid_27_25_pluck_adu_dr220.mp3" width="240" height="20"]] [[file:xenharmonic/jid_27_25_pluck_adu_dr220.mp3|sound sample]]


**27/25**, called the **large limma** or **acute minor second**, at 133.238 [[cent]]s, has the remarkable property of almost exactly equaling a singe step of [[9edo]], a step of which is 133 1/3 cents. Hence nine large limmas fall just short of an octave by the [[ennealimma]] (meaning "nine limmas") which is |1 -27 18&gt;, a comma of less than a cent in size. If all of that were not enough, two large limmas are almost exactly a [[7_6|subminor third]], since (7/6)/(27/25)^2 = 4375/4374. Turning from microtempering to exotempering, [[27_25|27/25]] can be [[tempering out|tempered out]], leading to [[Bug family|bug temperament]], rather than the [[Ragismic microtemperaments#Ennealimmal|ennealimmal temperament]] which tempering out both the ennealimma and 4375/4374, the [[ragisma]], leads to.
[[File:jid_27_25_pluck_adu_dr220.mp3]] [[:File:jid_27_25_pluck_adu_dr220.mp3|sound sample]]
 
'''27/25''', called the '''large limma''' or '''acute minor second''', at 133.238 [[cent|cent]]s, has the remarkable property of almost exactly equaling a singe step of [[9edo|9edo]], a step of which is 133 1/3 cents. Hence nine large limmas fall just short of an octave by the [[ennealimma|ennealimma]] (meaning "nine limmas") which is |1 -27 18&gt;, a comma of less than a cent in size. If all of that were not enough, two large limmas are almost exactly a [[7/6|subminor third]], since (7/6)/(27/25)^2 = 4375/4374. Turning from microtempering to exotempering, [[27/25|27/25]] can be [[tempering_out|tempered out]], leading to [[Bug_family|bug temperament]], rather than the [[Ragismic_microtemperaments#Ennealimmal|ennealimmal temperament]] which tempering out both the ennealimma and 4375/4374, the [[ragisma|ragisma]], leads to.


Coincidentally 27/25 is exactly three octaves below the ratio between 432hz and 50hz, common frequencies in tuning and AC electrical power respectively.</pre></div>
Coincidentally 27/25 is exactly three octaves below the ratio between 432hz and 50hz, common frequencies in tuning and AC electrical power respectively.
<h4>Original HTML content:</h4>
[[Category:9edo]]
<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_25&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;27/25&lt;/strong&gt;&lt;br /&gt;
[[Category:interval]]
|0 3 -2&amp;gt;&lt;br /&gt;
[[Category:limma]]
133.2376 cents&lt;br /&gt;
[[Category:ratio]]
&lt;!-- ws:start:WikiTextMediaRule:0:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_27_25_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_27_25_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_27_25_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_27_25_pluck_adu_dr220.mp3/513250150/jid_27_25_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_27_25_pluck_adu_dr220.mp3/513250150/jid_27_25_pluck_adu_dr220.mp3');"&gt;sound sample&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;strong&gt;27/25&lt;/strong&gt;, called the &lt;strong&gt;large limma&lt;/strong&gt; or &lt;strong&gt;acute minor second&lt;/strong&gt;, at 133.238 &lt;a class="wiki_link" href="/cent"&gt;cent&lt;/a&gt;s, has the remarkable property of almost exactly equaling a singe step of &lt;a class="wiki_link" href="/9edo"&gt;9edo&lt;/a&gt;, a step of which is 133 1/3 cents. Hence nine large limmas fall just short of an octave by the &lt;a class="wiki_link" href="/ennealimma"&gt;ennealimma&lt;/a&gt; (meaning &amp;quot;nine limmas&amp;quot;) which is |1 -27 18&amp;gt;, a comma of less than a cent in size. If all of that were not enough, two large limmas are almost exactly a &lt;a class="wiki_link" href="/7_6"&gt;subminor third&lt;/a&gt;, since (7/6)/(27/25)^2 = 4375/4374. Turning from microtempering to exotempering, &lt;a class="wiki_link" href="/27_25"&gt;27/25&lt;/a&gt; can be &lt;a class="wiki_link" href="/tempering%20out"&gt;tempered out&lt;/a&gt;, leading to &lt;a class="wiki_link" href="/Bug%20family"&gt;bug temperament&lt;/a&gt;, rather than the &lt;a class="wiki_link" href="/Ragismic%20microtemperaments#Ennealimmal"&gt;ennealimmal temperament&lt;/a&gt; which tempering out both the ennealimma and 4375/4374, the &lt;a class="wiki_link" href="/ragisma"&gt;ragisma&lt;/a&gt;, leads to.&lt;br /&gt;
&lt;br /&gt;
Coincidentally 27/25 is exactly three octaves below the ratio between 432hz and 50hz, common frequencies in tuning and AC electrical power respectively.&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 00:00, 17 July 2018

27/25 |0 3 -2>

133.2376 cents

sound sample

27/25, called the large limma or acute minor second, at 133.238 cents, has the remarkable property of almost exactly equaling a singe step of 9edo, a step of which is 133 1/3 cents. Hence nine large limmas fall just short of an octave by the ennealimma (meaning "nine limmas") which is |1 -27 18>, a comma of less than a cent in size. If all of that were not enough, two large limmas are almost exactly a subminor third, since (7/6)/(27/25)^2 = 4375/4374. Turning from microtempering to exotempering, 27/25 can be tempered out, leading to bug temperament, rather than the ennealimmal temperament which tempering out both the ennealimma and 4375/4374, the ragisma, leads to.

Coincidentally 27/25 is exactly three octaves below the ratio between 432hz and 50hz, common frequencies in tuning and AC electrical power respectively.