32edt: Difference between revisions
Wikispaces>genewardsmith **Imported revision 250636330 - Original comment: ** |
Wikispaces>guest **Imported revision 332555476 - 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:guest|guest]] and made on <tt>2012-05-09 12:51:56 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>332555476</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">//32edt// means the division of 3, the tritave, into 32 equal parts of 59. | <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">//32edt// means the division of 3, the tritave, into 32 equal parts of 59.436 cents each, corresponding to 20.190 edo. It has a distinct sharp tendency, in the sense that if 3 is pure, 5, 7, 11, 13 and 17 are all sharp. It tempers out 3125/3087 in the 7-limit, 891/875, 1331/1323 and 2475/2401 in the 11-limit, 275/273, 351/343, 729/714, 847/845 and 1575/1573 in the 13-limit, 121/119, 189/197 and 225/221 in the 17-limit. It is the eighth [[The Riemann Zeta Function and Tuning#Removing%20primes|zeta peak tritave division]]. | ||
=<span style="font-size: 1.4em;">Intervals</span>= | |||
|| 1 || || | |||
|| 2 || 118.87219¢ || | |||
|| 3 || || | |||
|| 4 || 237.74438 || | |||
|| 5 || || | |||
|| 6 || 356.61656 || | |||
|| 7 || || | |||
|| 8 || 475.48875 || | |||
|| 9 || || | |||
|| 10 || 594.36094 || | |||
|| 11 || || | |||
|| || 713.23312 || | |||
|| || || | |||
|| || 832.10531 || | |||
|| || || | |||
|| || 950.9775 || | |||
|| || || | |||
|| || 1069.84969 || | |||
|| || || | |||
|| || 1188.72188 || | |||
|| || || | |||
|| || 1307.59406 || | |||
|| || || | |||
|| 12 || 1426.46625 || | |||
|| || || | |||
|| 13 || 1545.33844 || | |||
|| || || | |||
|| 14 || 1664.21063 || | |||
|| || || | |||
|| 15 || 1783.08281 || | |||
|| || || | |||
|| 16 || 1901.955 ||</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>32edt</title></head><body><em>32edt</em> means the division of 3, the tritave, into 32 equal parts of 59. | <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>32edt</title></head><body><em>32edt</em> means the division of 3, the tritave, into 32 equal parts of 59.436 cents each, corresponding to 20.190 edo. It has a distinct sharp tendency, in the sense that if 3 is pure, 5, 7, 11, 13 and 17 are all sharp. It tempers out 3125/3087 in the 7-limit, 891/875, 1331/1323 and 2475/2401 in the 11-limit, 275/273, 351/343, 729/714, 847/845 and 1575/1573 in the 13-limit, 121/119, 189/197 and 225/221 in the 17-limit. It is the eighth <a class="wiki_link" href="/The%20Riemann%20Zeta%20Function%20and%20Tuning#Removing%20primes">zeta peak tritave division</a>.<br /> | ||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Intervals"></a><!-- ws:end:WikiTextHeadingRule:0 --><span style="font-size: 1.4em;">Intervals</span></h1> | |||
<table class="wiki_table"> | |||
<tr> | |||
<td>1<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>2<br /> | |||
</td> | |||
<td>118.87219¢<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>3<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>4<br /> | |||
</td> | |||
<td>237.74438<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>5<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>6<br /> | |||
</td> | |||
<td>356.61656<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>7<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>8<br /> | |||
</td> | |||
<td>475.48875<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>9<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>10<br /> | |||
</td> | |||
<td>594.36094<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>11<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><br /> | |||
</td> | |||
<td>713.23312<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><br /> | |||
</td> | |||
<td>832.10531<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><br /> | |||
</td> | |||
<td>950.9775<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><br /> | |||
</td> | |||
<td>1069.84969<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><br /> | |||
</td> | |||
<td>1188.72188<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><br /> | |||
</td> | |||
<td>1307.59406<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>12<br /> | |||
</td> | |||
<td>1426.46625<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>13<br /> | |||
</td> | |||
<td>1545.33844<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>14<br /> | |||
</td> | |||
<td>1664.21063<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>15<br /> | |||
</td> | |||
<td>1783.08281<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>16<br /> | |||
</td> | |||
<td>1901.955<br /> | |||
</td> | |||
</tr> | |||
</table> | |||
</body></html></pre></div> |