Diaschisma: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
2048/2025, the diaschisma, an interval of 19.553 [[cent|cents]], it is the difference between four perfect fifths plus two major thirds and three octaves, Tempering it out leads to [[Diaschismic_family|Diaschismic temperament]]. It may also be defined as the difference between a just Pythagorean minor seventh and a just augmented sixth (E.A. [[16/9|16/9]] - 225/128), as the difference between two [[16/15|diatonic semitones]] and the [[9/8|major whole tone]], that is, (9/8)/(16/15)^2, or as the difference between the 5-limit tritone [[45/32|45/32]] and its enharmonic equivalent [[64/45|64/45]].
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:toddiharrop|toddiharrop]] and made on <tt>2016-11-23 16:21:23 UTC</tt>.<br>
: The original revision id was <tt>600278992</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">2048/2025, the diaschisma, an interval of 19.553 [[cent|cents]], it is the difference between four perfect fifths plus two major thirds and three octaves, Tempering it out leads to [[Diaschismic family|Diaschismic temperament]]. It may also be defined as the difference between a just Pythagorean minor seventh and a just augmented sixth (E.A. [[16_9|16/9]] - 225/128), as the difference between two [[16_15|diatonic semitones]] and the [[9_8|major whole tone]], that is, (9/8)/(16/15)^2, or as the difference between the 5-limit tritone [[45_32|45/32]] and its enharmonic equivalent [[64_45|64/45]].</pre></div>
<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;diaschisma&lt;/title&gt;&lt;/head&gt;&lt;body&gt;2048/2025, the diaschisma, an interval of 19.553 &lt;a class="wiki_link" href="/cent"&gt;cents&lt;/a&gt;, it is the difference between four perfect fifths plus two major thirds and three octaves, Tempering it out leads to &lt;a class="wiki_link" href="/Diaschismic%20family"&gt;Diaschismic temperament&lt;/a&gt;. It may also be defined as the difference between a just Pythagorean minor seventh and a just augmented sixth (E.A. &lt;a class="wiki_link" href="/16_9"&gt;16/9&lt;/a&gt; - 225/128), as the difference between two &lt;a class="wiki_link" href="/16_15"&gt;diatonic semitones&lt;/a&gt; and the &lt;a class="wiki_link" href="/9_8"&gt;major whole tone&lt;/a&gt;, that is, (9/8)/(16/15)^2, or as the difference between the 5-limit tritone &lt;a class="wiki_link" href="/45_32"&gt;45/32&lt;/a&gt; and its enharmonic equivalent &lt;a class="wiki_link" href="/64_45"&gt;64/45&lt;/a&gt;.&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 00:00, 17 July 2018

2048/2025, the diaschisma, an interval of 19.553 cents, it is the difference between four perfect fifths plus two major thirds and three octaves, Tempering it out leads to Diaschismic temperament. It may also be defined as the difference between a just Pythagorean minor seventh and a just augmented sixth (E.A. 16/9 - 225/128), as the difference between two diatonic semitones and the major whole tone, that is, (9/8)/(16/15)^2, or as the difference between the 5-limit tritone 45/32 and its enharmonic equivalent 64/45.