42edo

Revision as of 12:06, 1 July 2011 by Wikispaces>xenwolf (**Imported revision 239664525 - Original comment: **)

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This revision was by author xenwolf and made on 2011-07-01 12:06:40 UTC.
The original revision id was 239664525.
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:

The //42 equal division// divides the octave into 42 equal parts of 28.571 [[cent]]s each. It has a 5 and a 7 both over 12 cents sharp, using the same 400 cent interval to represent 5/4 as does 12, which means it [[tempering out|tempers out]] 128/125. In the [[7-limit]], it tempers out 64/63 and 126/125, making it a tuning supporting [[Augmented family|augene temperament]].

While not an accurate tuning on the full 7-limit, it does an excellent job on the 2.9.15.7.33.39 [[k*N subgroups|2*42 subgroup]], having the same tuning on it as does [[84edo]]. On this subgroup 42 has the same [[comma]]s as 84.

Original HTML content:

<html><head><title>42edo</title></head><body>The <em>42 equal division</em> divides the octave into 42 equal parts of 28.571 <a class="wiki_link" href="/cent">cent</a>s each. It has a 5 and a 7 both over 12 cents sharp, using the same 400 cent interval to represent 5/4 as does 12, which means it <a class="wiki_link" href="/tempering%20out">tempers out</a> 128/125. In the <a class="wiki_link" href="/7-limit">7-limit</a>, it tempers out 64/63 and 126/125, making it a tuning supporting <a class="wiki_link" href="/Augmented%20family">augene temperament</a>.<br />
<br />
While not an accurate tuning on the full 7-limit, it does an excellent job on the 2.9.15.7.33.39 <a class="wiki_link" href="/k%2AN%20subgroups">2*42 subgroup</a>, having the same tuning on it as does <a class="wiki_link" href="/84edo">84edo</a>. On this subgroup 42 has the same <a class="wiki_link" href="/comma">comma</a>s as 84.</body></html>