51edo: Difference between revisions

Wikispaces>genewardsmith
**Imported revision 340292078 - Original comment: **
Wikispaces>PiotrGrochowski
**Imported revision 592509138 - Original comment: **
Line 1: Line 1:
<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:genewardsmith|genewardsmith]] and made on <tt>2012-05-28 21:16:03 UTC</tt>.<br>
: This revision was by author [[User:PiotrGrochowski|PiotrGrochowski]] and made on <tt>2016-09-18 02:31:15 UTC</tt>.<br>
: The original revision id was <tt>340292078</tt>.<br>
: The original revision id was <tt>592509138</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">//51[[edo]]// divides the [[octave]] into 51 equal parts of 23.529 [[cent]]s each, which is about the size of the [[http://en.wikipedia.org/wiki/Pythagorean_comma|Pythagorean comma]]. It tempers out [[250_243|250/243]] in the [[5-limit]], [[225_224|225/224]] and [[2401_2400|2401/2400]] in the [[7-limit]], and [[55_54|55/54]] and [[100_99|100/99]] in the [[11-limit]]. It is the [[optimal patent val]] for [[Porcupine rank three family|sonic]], the rank three temperament tempering out 250/243, 55/54 and 100/99, and also for the rank four temperament tempering out 55/54. It provides an alternative tuning to [[22edo]] for [[Porcupine family|porcupine temperament]], with a nice fifth but a rather flat major third, and the optimal patent val for 7- and 11-limit [[Porcupine family#Porky|porky temperament]], which is sonic plus 225/224.</pre></div>
<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">//51[[edo]]// divides the [[octave]] into 51 equal parts of 23.529 [[cent]]s each, which is about the size of the [[http://en.wikipedia.org/wiki/Pythagorean_comma|Pythagorean comma]] (even though this comma itself is mapped to a different interval). It tempers out [[250_243|250/243]] in the [[5-limit]], [[225_224|225/224]] and [[2401_2400|2401/2400]] in the [[7-limit]], and [[55_54|55/54]] and [[100_99|100/99]] in the [[11-limit]]. It is the [[optimal patent val]] for [[Porcupine rank three family|sonic]], the rank three temperament tempering out 250/243, 55/54 and 100/99, and also for the rank four temperament tempering out 55/54. It provides an alternative tuning to [[22edo]] for [[Porcupine family|porcupine temperament]], with a nice fifth but a rather flat major third, and the optimal patent val for 7- and 11-limit [[Porcupine family#Porky|porky temperament]], which is sonic plus 225/224.</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">&lt;html&gt;&lt;head&gt;&lt;title&gt;51edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;em&gt;51&lt;a class="wiki_link" href="/edo"&gt;edo&lt;/a&gt;&lt;/em&gt; divides the &lt;a class="wiki_link" href="/octave"&gt;octave&lt;/a&gt; into 51 equal parts of 23.529 &lt;a class="wiki_link" href="/cent"&gt;cent&lt;/a&gt;s each, which is about the size of the &lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Pythagorean_comma" rel="nofollow"&gt;Pythagorean comma&lt;/a&gt;. It tempers out &lt;a class="wiki_link" href="/250_243"&gt;250/243&lt;/a&gt; in the &lt;a class="wiki_link" href="/5-limit"&gt;5-limit&lt;/a&gt;, &lt;a class="wiki_link" href="/225_224"&gt;225/224&lt;/a&gt; and &lt;a class="wiki_link" href="/2401_2400"&gt;2401/2400&lt;/a&gt; in the &lt;a class="wiki_link" href="/7-limit"&gt;7-limit&lt;/a&gt;, and &lt;a class="wiki_link" href="/55_54"&gt;55/54&lt;/a&gt; and &lt;a class="wiki_link" href="/100_99"&gt;100/99&lt;/a&gt; in the &lt;a class="wiki_link" href="/11-limit"&gt;11-limit&lt;/a&gt;. It is the &lt;a class="wiki_link" href="/optimal%20patent%20val"&gt;optimal patent val&lt;/a&gt; for &lt;a class="wiki_link" href="/Porcupine%20rank%20three%20family"&gt;sonic&lt;/a&gt;, the rank three temperament tempering out 250/243, 55/54 and 100/99, and also for the rank four temperament tempering out 55/54. It provides an alternative tuning to &lt;a class="wiki_link" href="/22edo"&gt;22edo&lt;/a&gt; for &lt;a class="wiki_link" href="/Porcupine%20family"&gt;porcupine temperament&lt;/a&gt;, with a nice fifth but a rather flat major third, and the optimal patent val for 7- and 11-limit &lt;a class="wiki_link" href="/Porcupine%20family#Porky"&gt;porky temperament&lt;/a&gt;, which is sonic plus 225/224.&lt;/body&gt;&lt;/html&gt;</pre></div>
<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;51edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;em&gt;51&lt;a class="wiki_link" href="/edo"&gt;edo&lt;/a&gt;&lt;/em&gt; divides the &lt;a class="wiki_link" href="/octave"&gt;octave&lt;/a&gt; into 51 equal parts of 23.529 &lt;a class="wiki_link" href="/cent"&gt;cent&lt;/a&gt;s each, which is about the size of the &lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Pythagorean_comma" rel="nofollow"&gt;Pythagorean comma&lt;/a&gt; (even though this comma itself is mapped to a different interval). It tempers out &lt;a class="wiki_link" href="/250_243"&gt;250/243&lt;/a&gt; in the &lt;a class="wiki_link" href="/5-limit"&gt;5-limit&lt;/a&gt;, &lt;a class="wiki_link" href="/225_224"&gt;225/224&lt;/a&gt; and &lt;a class="wiki_link" href="/2401_2400"&gt;2401/2400&lt;/a&gt; in the &lt;a class="wiki_link" href="/7-limit"&gt;7-limit&lt;/a&gt;, and &lt;a class="wiki_link" href="/55_54"&gt;55/54&lt;/a&gt; and &lt;a class="wiki_link" href="/100_99"&gt;100/99&lt;/a&gt; in the &lt;a class="wiki_link" href="/11-limit"&gt;11-limit&lt;/a&gt;. It is the &lt;a class="wiki_link" href="/optimal%20patent%20val"&gt;optimal patent val&lt;/a&gt; for &lt;a class="wiki_link" href="/Porcupine%20rank%20three%20family"&gt;sonic&lt;/a&gt;, the rank three temperament tempering out 250/243, 55/54 and 100/99, and also for the rank four temperament tempering out 55/54. It provides an alternative tuning to &lt;a class="wiki_link" href="/22edo"&gt;22edo&lt;/a&gt; for &lt;a class="wiki_link" href="/Porcupine%20family"&gt;porcupine temperament&lt;/a&gt;, with a nice fifth but a rather flat major third, and the optimal patent val for 7- and 11-limit &lt;a class="wiki_link" href="/Porcupine%20family#Porky"&gt;porky temperament&lt;/a&gt;, which is sonic plus 225/224.&lt;/body&gt;&lt;/html&gt;</pre></div>