57/56: Difference between revisions

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**Imported revision 391763648 - Original comment: **
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
{{Infobox Interval
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| Name = hendrix comma
: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2012-12-12 16:56:57 UTC</tt>.<br>
| Color name = 19or1, noru 1sn,<br>Noru comma
: The original revision id was <tt>391763648</tt>.<br>
| Comma = yes
: 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''' is a [[superparticular]] interval of about 30.6¢ which makes the difference between [[4/3]] (about 498¢) and [[19/14]] (about 528.7¢) in [[19-limit]] [[just intonation]]; it is also the difference between [[19/16]] and [[7/6]]. It is also called the '''hendrix comma''', since by tempering it out, one can build an 8:10:14:19 [[hendrix chord]], which has steps of [[5/4]]-[[7/5]]-4/3. [[Patent val]]s which temper out the hendrix comma include those from {{EDOs| 9, 10, 12, 16, 21, 22 and 26 }} edo.


See: [[List of Superparticular Intervals]]</pre></div>
57/56 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, called [[hendrix]]. You can also temper it out in a rank-2 temperament in 2.3.19/7, called surprise.
<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;
== See also ==
&lt;br /&gt;
* [[28/19]] – its [[fifth complement]]
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;
* [[Medium comma]]
&lt;br /&gt;
* [[List of superparticular intervals]]
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>
 
[[Category:Hendrix]]
[[Category:Commas named after composers]]