2187/2048: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
'''2187/2048'''
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-30 21:39:24 UTC</tt>.<br>
: The original revision id was <tt>515319832</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">**2187/2048**
|-11 7&gt;
|-11 7&gt;
113.6850 cents
113.6850 cents
[[media type="file" key="jid_2187_2048_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_2187_2048_pluck_adu_dr220.mp3|sound sample]]


The //apotome//, also known as the Pythagorean chromatic semitone or the Pythagorean major semitone, is the interval 3^7/2^11 = 2187/2048 which is the chromatic semitone in the Pythagorean (3-limit) version of the diatonic scale. Unlike the situation in meantone tunings, it is larger, not smaller, than the corresponding diatonic semitone, which is the Pythagorean minor second of [[256_243|256/243]]. It measures about 113.7¢ and can be generated by stacking seven [[3_2|3/2]] perfect fifths and octave-reducing the resulting interval.
[[File:jid_2187_2048_pluck_adu_dr220.mp3]] [[:File:jid_2187_2048_pluck_adu_dr220.mp3|sound sample]]
 
The ''apotome'', also known as the Pythagorean chromatic semitone or the Pythagorean major semitone, is the interval 3^7/2^11 = 2187/2048 which is the chromatic semitone in the Pythagorean (3-limit) version of the diatonic scale. Unlike the situation in meantone tunings, it is larger, not smaller, than the corresponding diatonic semitone, which is the Pythagorean minor second of [[256/243|256/243]]. It measures about 113.7¢ and can be generated by stacking seven [[3/2|3/2]] perfect fifths and octave-reducing the resulting interval.


See: [[Gallery of Just Intervals]], [[comma]]</pre></div>
See: [[Gallery_of_Just_Intervals|Gallery of Just Intervals]], [[Comma|comma]]
<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;2187_2048&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;2187/2048&lt;/strong&gt;&lt;br /&gt;
|-11 7&amp;gt;&lt;br /&gt;
113.6850 cents&lt;br /&gt;
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&lt;br /&gt;
The &lt;em&gt;apotome&lt;/em&gt;, also known as the Pythagorean chromatic semitone or the Pythagorean major semitone, is the interval 3^7/2^11 = 2187/2048 which is the chromatic semitone in the Pythagorean (3-limit) version of the diatonic scale. Unlike the situation in meantone tunings, it is larger, not smaller, than the corresponding diatonic semitone, which is the Pythagorean minor second of &lt;a class="wiki_link" href="/256_243"&gt;256/243&lt;/a&gt;. It measures about 113.7¢ and can be generated by stacking seven &lt;a class="wiki_link" href="/3_2"&gt;3/2&lt;/a&gt; perfect fifths 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;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 00:00, 17 July 2018

2187/2048 |-11 7>

113.6850 cents

sound sample

The apotome, also known as the Pythagorean chromatic semitone or the Pythagorean major semitone, is the interval 3^7/2^11 = 2187/2048 which is the chromatic semitone in the Pythagorean (3-limit) version of the diatonic scale. Unlike the situation in meantone tunings, it is larger, not smaller, than the corresponding diatonic semitone, which is the Pythagorean minor second of 256/243. It measures about 113.7¢ and can be generated by stacking seven 3/2 perfect fifths and octave-reducing the resulting interval.

See: Gallery of Just Intervals, comma

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