57/56
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author xenwolf and made on 2012-12-12 16:56:57 UTC.
- The original revision id was 391763648.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
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> 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]]
Original HTML content:
<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 <a class="wiki_link" href="/19_16">19/16</a> and <a class="wiki_link" href="/7_6">7/6</a>. 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 9, 10, 12, 16, 21, 22 and 26 edo.<br /> <br /> 57/56 = |-3 1 0 -1 0 0 0 1> 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.<br /> <br /> See: <a class="wiki_link" href="/List%20of%20Superparticular%20Intervals">List of Superparticular Intervals</a></body></html>