256/243: Difference between revisions

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Wikispaces>PiotrGrochowski
**Imported revision 590042306 - Original comment: **
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
'''256/243'''
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:PiotrGrochowski|PiotrGrochowski]] and made on <tt>2016-08-24 01:55:23 UTC</tt>.<br>
: The original revision id was <tt>590042306</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">**256/243**
|8 -5&gt;
|8 -5&gt;
90.225 cents
90.225 cents
[[media type="file" key="jid_256_243_pluck_adu_dr220.mp3" width="240" height="20"]] [[file:xenharmonic/jid_256_243_pluck_adu_dr220.mp3|sound sample]]


The Pythagorean limma, or Pythagorean semitone, is the interval of size 256/243 = 2^8/3^5 (about 90.2¢), which is the diatonic semitone in Pythagorean tuning. It can be generated by stacking five [[4_3|4/3]] just perfect fourths and octave-reducing the resulting interval.
[[File:jid_256_243_pluck_adu_dr220.mp3]] [[:File:jid_256_243_pluck_adu_dr220.mp3|sound sample]]
 
The Pythagorean limma, or Pythagorean semitone, is the interval of size 256/243 = 2^8/3^5 (about 90.2¢), which is the diatonic semitone in Pythagorean tuning. It can be generated by stacking five [[4/3|4/3]] just perfect fourths and octave-reducing the resulting interval.


See: [[Gallery of Just Intervals]], [[comma]]
See: [[Gallery_of_Just_Intervals|Gallery of Just Intervals]], [[Comma|comma]]


[[5edo]], [[10edo]], [[15edo]], [[20edo]], [[25edo]] and [[30edo]] temper it out.</pre></div>
[[5edo|5edo]], [[10edo|10edo]], [[15edo|15edo]], [[20edo|20edo]], [[25edo|25edo]] and [[30edo|30edo]] temper it out.
<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">&lt;html&gt;&lt;head&gt;&lt;title&gt;256_243&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;256/243&lt;/strong&gt;&lt;br /&gt;
|8 -5&amp;gt;&lt;br /&gt;
90.225 cents&lt;br /&gt;
&lt;!-- ws:start:WikiTextMediaRule:0:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_256_243_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_256_243_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_256_243_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_256_243_pluck_adu_dr220.mp3/515315614/jid_256_243_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_256_243_pluck_adu_dr220.mp3/515315614/jid_256_243_pluck_adu_dr220.mp3');"&gt;sound sample&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
The Pythagorean limma, or Pythagorean semitone, is the interval of size 256/243 = 2^8/3^5 (about 90.2¢), which is the diatonic semitone in Pythagorean tuning. It can be generated by stacking five &lt;a class="wiki_link" href="/4_3"&gt;4/3&lt;/a&gt; just perfect fourths and octave-reducing the resulting interval.&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;a class="wiki_link" href="/comma"&gt;comma&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/5edo"&gt;5edo&lt;/a&gt;, &lt;a class="wiki_link" href="/10edo"&gt;10edo&lt;/a&gt;, &lt;a class="wiki_link" href="/15edo"&gt;15edo&lt;/a&gt;, &lt;a class="wiki_link" href="/20edo"&gt;20edo&lt;/a&gt;, &lt;a class="wiki_link" href="/25edo"&gt;25edo&lt;/a&gt; and &lt;a class="wiki_link" href="/30edo"&gt;30edo&lt;/a&gt; temper it out.&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 00:00, 17 July 2018

256/243 |8 -5>

90.225 cents

sound sample

The Pythagorean limma, or Pythagorean semitone, is the interval of size 256/243 = 2^8/3^5 (about 90.2¢), which is the diatonic semitone in Pythagorean tuning. It can be generated by stacking five 4/3 just perfect fourths and octave-reducing the resulting interval.

See: Gallery of Just Intervals, comma

5edo, 10edo, 15edo, 20edo, 25edo and 30edo temper it out.

Retrieved from "https://en.xen.wiki/index.php?title=256/243&oldid=507"