102edo: Difference between revisions
Wikispaces>genewardsmith **Imported revision 256133420 - Original comment: ** |
Wikispaces>JosephRuhf **Imported revision 588501714 - 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>2016-08-01 14:52:49 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>588501714</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">**102edo** is the [[equal division of the octave]] into 102 steps of size 11.765 [[cent]]s each. In the [[5-limit]] it [[tempering out|tempers out]] the same [[comma]]s (2048/2025, 15625/15552, 20000/19683) as [[34edo]]. In the [[7-limit]] it tempers out 686/675 and 1029/1024; in the [[11-limit]] 385/384, 441/440 and 4000/3993; in the [[13-limit]] 91/90 and 169/168; in the [[17-limit]] 136/135 and 154/153; and in the [[19-limit]] 133/132 and 190/189. It is the [[optimal patent val]] for 13-limit [[Diaschismic family#Echidnic|echidnic temperament]], and the rank five temperament tempering out 91/90.</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">**102edo** is the [[equal division of the octave]] into 102 steps of size 11.765 [[cent]]s each. In the [[5-limit]] it [[tempering out|tempers out]] the same [[comma]]s (2048/2025, 15625/15552, 20000/19683) as [[34edo]]. In the [[7-limit]] it tempers out 686/675 and 1029/1024; in the [[11-limit]] 385/384, 441/440 and 4000/3993; in the [[13-limit]] 91/90 and 169/168; in the [[17-limit]] 136/135 and 154/153; and in the [[19-limit]] 133/132 and 190/189. It is the [[optimal patent val]] for 13-limit [[Diaschismic family#Echidnic|echidnic temperament]], and the rank five [[#|temperament]] tempering out 91/90. | ||
===13-limit Echidnic=== | |||
|| 2 || 23.529 || | |||
|| 4 || 47.059 || | |||
|| 7 || 82.353 || | |||
|| 9 || 105.882 || | |||
|| 11 || 129.412 || | |||
|| 13 || 152.941 || | |||
|| 16 || 188.235 || | |||
|| 18 || 211.765 || | |||
|| 20 || 235.294 || | |||
|| 22 || 258.824 || | |||
|| 24 || 282.353 || | |||
|| 27 || 317.647 || | |||
|| 29 || 341.1765 || | |||
|| 31 || 364.706 || | |||
|| 33 || 388.235 || | |||
|| 35 || 411.765 || | |||
|| 38 || 447.059 || | |||
|| 40 || 470.588 || | |||
|| 42 || 494.117 || | |||
|| 44 || 517.647 || | |||
|| 47 || 552.941 || | |||
|| 49 || 576.471 ||</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>102edo</title></head><body><strong>102edo</strong> is the <a class="wiki_link" href="/equal%20division%20of%20the%20octave">equal division of the octave</a> into 102 steps of size 11.765 <a class="wiki_link" href="/cent">cent</a>s each. In the <a class="wiki_link" href="/5-limit">5-limit</a> it <a class="wiki_link" href="/tempering%20out">tempers out</a> the same <a class="wiki_link" href="/comma">comma</a>s (2048/2025, 15625/15552, 20000/19683) as <a class="wiki_link" href="/34edo">34edo</a>. In the <a class="wiki_link" href="/7-limit">7-limit</a> it tempers out 686/675 and 1029/1024; in the <a class="wiki_link" href="/11-limit">11-limit</a> 385/384, 441/440 and 4000/3993; in the <a class="wiki_link" href="/13-limit">13-limit</a> 91/90 and 169/168; in the <a class="wiki_link" href="/17-limit">17-limit</a> 136/135 and 154/153; and in the <a class="wiki_link" href="/19-limit">19-limit</a> 133/132 and 190/189. It is the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for 13-limit <a class="wiki_link" href="/Diaschismic%20family#Echidnic">echidnic temperament</a>, and the rank five temperament tempering out 91/90.</body></html></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"><html><head><title>102edo</title></head><body><strong>102edo</strong> is the <a class="wiki_link" href="/equal%20division%20of%20the%20octave">equal division of the octave</a> into 102 steps of size 11.765 <a class="wiki_link" href="/cent">cent</a>s each. In the <a class="wiki_link" href="/5-limit">5-limit</a> it <a class="wiki_link" href="/tempering%20out">tempers out</a> the same <a class="wiki_link" href="/comma">comma</a>s (2048/2025, 15625/15552, 20000/19683) as <a class="wiki_link" href="/34edo">34edo</a>. In the <a class="wiki_link" href="/7-limit">7-limit</a> it tempers out 686/675 and 1029/1024; in the <a class="wiki_link" href="/11-limit">11-limit</a> 385/384, 441/440 and 4000/3993; in the <a class="wiki_link" href="/13-limit">13-limit</a> 91/90 and 169/168; in the <a class="wiki_link" href="/17-limit">17-limit</a> 136/135 and 154/153; and in the <a class="wiki_link" href="/19-limit">19-limit</a> 133/132 and 190/189. It is the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for 13-limit <a class="wiki_link" href="/Diaschismic%20family#Echidnic">echidnic temperament</a>, and the rank five [[#|temperament]] tempering out 91/90.<br /> | ||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h3&gt; --><h3 id="toc0"><a name="x--13-limit Echidnic"></a><!-- ws:end:WikiTextHeadingRule:0 -->13-limit Echidnic</h3> | |||
<table class="wiki_table"> | |||
<tr> | |||
<td>2<br /> | |||
</td> | |||
<td>23.529<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>4<br /> | |||
</td> | |||
<td>47.059<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>7<br /> | |||
</td> | |||
<td>82.353<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>9<br /> | |||
</td> | |||
<td>105.882<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>11<br /> | |||
</td> | |||
<td>129.412<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>13<br /> | |||
</td> | |||
<td>152.941<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>16<br /> | |||
</td> | |||
<td>188.235<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>18<br /> | |||
</td> | |||
<td>211.765<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>20<br /> | |||
</td> | |||
<td>235.294<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>22<br /> | |||
</td> | |||
<td>258.824<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>24<br /> | |||
</td> | |||
<td>282.353<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>27<br /> | |||
</td> | |||
<td>317.647<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>29<br /> | |||
</td> | |||
<td>341.1765<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>31<br /> | |||
</td> | |||
<td>364.706<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>33<br /> | |||
</td> | |||
<td>388.235<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>35<br /> | |||
</td> | |||
<td>411.765<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>38<br /> | |||
</td> | |||
<td>447.059<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>40<br /> | |||
</td> | |||
<td>470.588<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>42<br /> | |||
</td> | |||
<td>494.117<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>44<br /> | |||
</td> | |||
<td>517.647<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>47<br /> | |||
</td> | |||
<td>552.941<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>49<br /> | |||
</td> | |||
<td>576.471<br /> | |||
</td> | |||
</tr> | |||
</table> | |||
</body></html></pre></div> | |||