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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:genewardsmith|genewardsmith]] and made on <tt>2011-09-18 12:44:09 UTC</tt>.<br>
| | | Color name = 19or1, noru 1sn,<br>Noru comma |
| : The original revision id was <tt>255293928</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>
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| <h4>Original Wikitext content:</h4>
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| <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 and 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 12, 16, 21, 22 and 26 edo.
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| See: [[List of Superparticular Intervals]]</pre></div>
| | '''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. |
| <h4>Original HTML content:</h4>
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| <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"><html><head><title>57_56</title></head><body>57/56 is a <a class="wiki_link" href="/superparticular">superparticular</a> interval of about 30.6¢ which makes the difference between <a class="wiki_link" href="/4_3">4/3</a> (about 498¢) and <a class="wiki_link" href="/19_14">19/14</a> (about 528.7¢) in <a class="wiki_link" href="/19-limit">19-limit</a> <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>; 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 8:10:12:19 <a class="wiki_link" href="/hendrix%20chord">hendrix chord</a>, which has steps of 5/4-7/5-4/3. <a class="wiki_link" href="/patent%20val">Patent vals</a> which temper out the hendrix comma include those from 12, 16, 21, 22 and 26 edo.<br />
| | 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. |
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| See: <a class="wiki_link" href="/List%20of%20Superparticular%20Intervals">List of Superparticular Intervals</a></body></html></pre></div> | | == See also == |
| | * [[28/19]] – its [[fifth complement]] |
| | * [[Medium comma]] |
| | * [[List of superparticular intervals]] |
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| | [[Category:Hendrix]] |
| | [[Category:Commas named after composers]] |
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 vals which temper out the hendrix comma include those from 9, 10, 12, 16, 21, 22 and 26 edo.
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.
See also