27/25: Difference between revisions
Wikispaces>spt3125 **Imported revision 513252968 - Original comment: ** |
Wikispaces>Chartrekhan **Imported revision 593235456 - Original comment: ** |
||
| Line 1: | Line 1: | ||
<h2>IMPORTED REVISION FROM WIKISPACES</h2> | <h2>IMPORTED REVISION FROM WIKISPACES</h2> | ||
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | ||
: This revision was by author [[User: | : 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> | : The original revision id was <tt>593235456</tt>.<br> | ||
: The revision comment was: <tt></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> | The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | ||
| Line 9: | Line 9: | ||
|0 3 -2> | |0 3 -2> | ||
133.2376 cents | 133.2376 cents | ||
[[media type="file" key="jid_27_25_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_27_25_pluck_adu_dr220.mp3|sound sample]] | [[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>, 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.</pre></div> | **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>, 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. | ||
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> | |||
<h4>Original HTML content:</h4> | <h4>Original HTML 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;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>27_25</title></head><body><strong>27/25</strong><br /> | <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"><html><head><title>27_25</title></head><body><strong>27/25</strong><br /> | ||
|0 3 -2&gt;<br /> | |0 3 -2&gt;<br /> | ||
133.2376 cents<br /> | 133.2376 cents<br /> | ||
<!-- ws:start:WikiTextMediaRule:0:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_27_25_pluck_adu_dr220.mp3?h=20&amp;w=240&quot; class=&quot;WikiMedia WikiMediaFile&quot; id=&quot;wikitext@@media@@type=&amp;quot;file&amp;quot; key=&amp;quot;jid_27_25_pluck_adu_dr220.mp3&amp;quot;&quot; title=&quot;Local Media File&quot;height=&quot;20&quot; width=&quot;240&quot;/&gt; --><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&autostart=false&repeat=false&showdigits=true&showfsbutton=false&width=240&height=20"></embed><!-- ws:end:WikiTextMediaRule:0 --> <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');">sound sample</a><br /> | <!-- ws:start:WikiTextMediaRule:0:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_27_25_pluck_adu_dr220.mp3?h=20&amp;w=240&quot; class=&quot;WikiMedia WikiMediaFile&quot; id=&quot;wikitext@@media@@type=&amp;quot;file&amp;quot; key=&amp;quot;jid_27_25_pluck_adu_dr220.mp3&amp;quot; width=&amp;quot;240&amp;quot; height=&amp;quot;20&amp;quot;&quot; title=&quot;Local Media File&quot;height=&quot;20&quot; width=&quot;240&quot;/&gt; --><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&autostart=false&repeat=false&showdigits=true&showfsbutton=false&width=240&height=20"></embed><!-- ws:end:WikiTextMediaRule:0 --> <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');">sound sample</a><br /> | ||
<br /> | |||
<strong>27/25</strong>, called the <strong>large limma</strong> or <strong>acute minor second</strong>, at 133.238 <a class="wiki_link" href="/cent">cent</a>s, has the remarkable property of almost exactly equaling a singe step of <a class="wiki_link" href="/9edo">9edo</a>, a step of which is 133 1/3 cents. Hence nine large limmas fall just short of an octave by the <a class="wiki_link" href="/ennealimma">ennealimma</a> (meaning &quot;nine limmas&quot;) 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 <a class="wiki_link" href="/7_6">subminor third</a>, since (7/6)/(27/25)^2 = 4375/4374. Turning from microtempering to exotempering, <a class="wiki_link" href="/27_25">27/25</a> can be <a class="wiki_link" href="/tempering%20out">tempered out</a>, leading to <a class="wiki_link" href="/Bug%20family">bug temperament</a>, rather than the <a class="wiki_link" href="/Ragismic%20microtemperaments#Ennealimmal">ennealimmal temperament</a> which tempering out both the ennealimma and 4375/4374, the <a class="wiki_link" href="/ragisma">ragisma</a>, leads to.<br /> | |||
<br /> | <br /> | ||
Coincidentally 27/25 is exactly three octaves below the ratio between 432hz and 50hz, common frequencies in tuning and AC electrical power respectively.</body></html></pre></div> | |||