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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | '''102edo''' is the [[Equal_division_of_the_octave|equal division of the octave]] into 102 steps of size 11.765 [[cent|cent]]s each. In the [[5-limit|5-limit]] it [[tempering_out|tempers out]] the same [[Comma|comma]]s (2048/2025, 15625/15552, 20000/19683) as [[34edo|34edo]]. In the [[7-limit|7-limit]] it tempers out 686/675 and 1029/1024; in the [[11-limit|11-limit]] 385/384, 441/440 and 4000/3993; in the [[13-limit|13-limit]] 91/90 and 169/168; in the [[17-limit|17-limit]] 136/135 and 154/153; and in the [[19-limit|19-limit]] 133/132 and 190/189. It is the [[Optimal_patent_val|optimal patent val]] for 13-limit [[Diaschismic_family#Echidnic|echidnic temperament]], and the rank five temperament tempering out 91/90. |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| |
| : This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2016-12-29 13:27:39 UTC</tt>.<br>
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| : The original revision id was <tt>602896474</tt>.<br>
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| : The revision comment was: <tt></tt><br>
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| The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
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| <h4>Original Wikitext content:</h4>
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| <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 || 341.176 ||
| |
| || 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>
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| <h4>Original HTML content:</h4>
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| <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 />
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| <!-- 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>
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| <table class="wiki_table">
| | ===13-limit Echidnic=== |
| <tr>
| |
| <td>2<br />
| |
| </td>
| |
| <td>23.529<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>4<br />
| |
| </td>
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| <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>
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| <td>11<br />
| |
| </td>
| |
| <td>129.412<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
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| <td>13<br />
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| </td>
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| <td>152.941<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>16<br />
| |
| </td>
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| <td>188.235<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
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| <td>18<br />
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| </td>
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| <td>211.765<br />
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| </td>
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| </tr>
| |
| <tr>
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| <td>20<br />
| |
| </td>
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| <td>235.294<br />
| |
| </td>
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| </tr>
| |
| <tr>
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| <td>22<br />
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| </td>
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| <td>258.824<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
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| <td>24<br />
| |
| </td>
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| <td>282.353<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
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| <td>27<br />
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| </td>
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| <td>317.647<br />
| |
| </td>
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| </tr>
| |
| <tr>
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| <td>29<br />
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| </td>
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| <td>341.176<br />
| |
| </td>
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| </tr>
| |
| <tr>
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| <td>31<br />
| |
| </td>
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| <td>364.706<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
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| <td>33<br />
| |
| </td>
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| <td>388.235<br />
| |
| </td>
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| </tr>
| |
| <tr>
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| <td>35<br />
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| </td>
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| <td>411.765<br />
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| </td>
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| </tr>
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| <tr>
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| <td>38<br />
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| </td>
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| <td>447.059<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
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| <td>40<br />
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| </td>
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| <td>470.588<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
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| <td>42<br />
| |
| </td>
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| <td>494.117<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
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| <td>44<br />
| |
| </td>
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| <td>517.647<br />
| |
| </td>
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| </tr>
| |
| <tr>
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| <td>47<br />
| |
| </td>
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| <td>552.941<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>49<br />
| |
| </td>
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| <td>576.471<br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| </body></html></pre></div>
| | {| class="wikitable" |
| | |- |
| | | | 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 |
| | | | 341.176 |
| | |- |
| | | | 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 |
| | |} |
| | [[Category:echidnic]] |
| | [[Category:edo]] |
102edo is the equal division of the octave into 102 steps of size 11.765 cents each. In the 5-limit it tempers out the same commas (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 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
|
341.176
|
| 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
|