Diaschisma: Difference between revisions

Wikispaces>toddiharrop
**Imported revision 600236938 - Original comment: **
Wikispaces>xenwolf
**Imported revision 600237838 - Original comment: added some links**
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<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:toddiharrop|toddiharrop]] and made on <tt>2016-11-23 07:22:15 UTC</tt>.<br>
: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2016-11-23 07:38:07 UTC</tt>.<br>
: The original revision id was <tt>600236938</tt>.<br>
: The original revision id was <tt>600237838</tt>.<br>
: The revision comment was: <tt></tt><br>
: The revision comment was: <tt>added some links</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>
<h4>Original Wikitext content:</h4>
<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 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 - 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 tritones, 45/32 and its enharmonic equivalent 64/45.</pre></div>
<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 tritones, [[45_32|45/32]] and its enharmonic equivalent [[64_45|64/45]].</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">&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 cents, 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. 16/9 - 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 tritones, 45/32 and its enharmonic equivalent 64/45.&lt;/body&gt;&lt;/html&gt;</pre></div>
<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 tritones, &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>