42edo: Difference between revisions
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Wikispaces>xenwolf **Imported revision 239664525 - Original comment: ** |
Wikispaces>JosephRuhf **Imported revision 591048578 - Original comment: ** |
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<h2>IMPORTED REVISION FROM WIKISPACES</h2> | <h2>IMPORTED REVISION FROM WIKISPACES</h2> | ||
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | ||
: This revision was by author [[User: | : This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-09-04 20:53:02 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>591048578</tt>.<br> | ||
: The revision comment was: <tt></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> | 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> | <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">The //42 equal division// divides the octave into 42 equal parts of 28.571 [[cent]]s each. It has a | <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">The //42 equal division// divides the octave into 42 equal parts of 28.571 [[cent]]s each. It has a 3 (the size of which being coprime to its cardinality, this being a first for a composite equal division of cardinality 7n) and a 5 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.</pre></div> | 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.</pre></div> | ||
<h4>Original HTML content:</h4> | <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"><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 | <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>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 3 (the size of which being coprime to its cardinality, this being a first for a composite equal division of cardinality 7n) and a 5 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 /> | <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></pre></div> | 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></pre></div> | ||
Revision as of 20:53, 4 September 2016
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author JosephRuhf and made on 2016-09-04 20:53:02 UTC.
- The original revision id was 591048578.
- 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 3 (the size of which being coprime to its cardinality, this being a first for a composite equal division of cardinality 7n) and a 5 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 3 (the size of which being coprime to its cardinality, this being a first for a composite equal division of cardinality 7n) and a 5 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>