57/56: Difference between revisions

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**Imported revision 391763648 - Original comment: **
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
57/56 is a [[superparticular|superparticular]] interval of about 30.6¢ which makes the difference between [[4/3|4/3]] (about 498¢) and [[19/14|19/14]] (about 528.7¢) in [[19-limit|19-limit]] [[Just_intonation|Just Intonation]]; it is also the difference between [[19/16|19/16]] and [[7/6|7/6]]. It is also called the Hendrix Comma, since by tempering it out, one can build an 8:10:12:19 [[hendrix_chord|hendrix chord]], which has steps of 5/4-7/5-4/3. [[Patent_val|Patent vals]] which temper out the hendrix comma include those from 9, 10, 12, 16, 21, 22 and 26 edo.
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2012-12-12 16:56:57 UTC</tt>.<br>
: The original revision id was <tt>391763648</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">57/56 is a [[superparticular]] interval of about 30.6¢ which makes the difference between [[4_3|4/3]] (about 498¢) and [[19_14|19/14]] (about 528.7¢) in [[19-limit]] [[Just Intonation]]; it is also the difference between [[19_16|19/16]] and [[7_6|7/6]]. It is also called the Hendrix Comma, since by tempering it out, one can build an 8:10:12:19 [[hendrix chord]], which has steps of 5/4-7/5-4/3. [[patent val|Patent vals]] which temper out the hendrix comma include those from 9, 10, 12, 16, 21, 22 and 26 edo.


57/56 = |-3 1 0 -1 0 0 0 1&gt; is a comma of the 2.3.7.19 subgroup, and on that subgroup, patent vals tempering it out include those from 9, 12, 14, 17 and 26. The comma defines a rank three temperament on this subgroup.
57/56 = |-3 1 0 -1 0 0 0 1&gt; is a comma of the 2.3.7.19 subgroup, and on that subgroup, patent vals tempering it out include those from 9, 12, 14, 17 and 26. The comma defines a rank three temperament on this subgroup.


See: [[List of Superparticular Intervals]]</pre></div>
See: [[List_of_Superparticular_Intervals|List of Superparticular Intervals]]
<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;57_56&lt;/title&gt;&lt;/head&gt;&lt;body&gt;57/56 is a &lt;a class="wiki_link" href="/superparticular"&gt;superparticular&lt;/a&gt; interval of about 30.6¢ which makes the difference between &lt;a class="wiki_link" href="/4_3"&gt;4/3&lt;/a&gt; (about 498¢) and &lt;a class="wiki_link" href="/19_14"&gt;19/14&lt;/a&gt; (about 528.7¢) in &lt;a class="wiki_link" href="/19-limit"&gt;19-limit&lt;/a&gt; &lt;a class="wiki_link" href="/Just%20Intonation"&gt;Just Intonation&lt;/a&gt;; it is also the difference between &lt;a class="wiki_link" href="/19_16"&gt;19/16&lt;/a&gt; and &lt;a class="wiki_link" href="/7_6"&gt;7/6&lt;/a&gt;. It is also called the Hendrix Comma, since by tempering it out, one can build an 8:10:12:19 &lt;a class="wiki_link" href="/hendrix%20chord"&gt;hendrix chord&lt;/a&gt;, which has steps of 5/4-7/5-4/3. &lt;a class="wiki_link" href="/patent%20val"&gt;Patent vals&lt;/a&gt; which temper out the hendrix comma include those from 9, 10, 12, 16, 21, 22 and 26 edo.&lt;br /&gt;
&lt;br /&gt;
57/56 = |-3 1 0 -1 0 0 0 1&amp;gt; is a comma of the 2.3.7.19 subgroup, and on that subgroup, patent vals tempering it out include those from 9, 12, 14, 17 and 26. The comma defines a rank three temperament on this subgroup.&lt;br /&gt;
&lt;br /&gt;
See: &lt;a class="wiki_link" href="/List%20of%20Superparticular%20Intervals"&gt;List of Superparticular Intervals&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>