47edo
IMPORTED REVISION FROM WIKISPACES
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- This revision was by author JosephRuhf and made on 2016-12-06 08:54:19 UTC.
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Original Wikitext content:
=<span style="color: #616161; font-size: 99%;">47 tone Equal Temperament</span>= **//47-EDO//** divides the octave into 47 equal parts of 25.5319 cents each. It has a fifth which is 12.5933 cents flat, unless you use the alternative fifth which is 12.9386 cents sharp, similar to 35edo. It has therefore not aroused much interest, but its best approximation to 9/8 is actually quite good, one-third of a cent sharp. It does a good job of approximating the 2.9.5.7.33.13.17.57.69 23-limit [[k*N subgroups|2*47 subgroup]] of the [[23-limit]], on which it tempers out the same commas as [[94edo]]. It provides a good tuning for [[Chromatic pairs#Baldy|baldy]] and [[Chromatic pairs#Silver|silver]] temperaments and relatives. 47edo is the 15th [[prime numbers|prime]] edo, following [[43edo]] and preceding [[53edo]]. ==Intervals of 47edo== ||~ Degrees of 47edo ||~ Cents Value || || 0 || 0 || || 1 || 25.5319 || || 2 || 51.0638 || || 3 || 76.5957 || || 4 || [[tel:102.1277|102.1277]] || || 5 || [[tel:127.6596|127.6596]] || || 6 || [[tel:153.1915|153.1915]] || || 7 || [[tel:178.7234|178.7234]] || || 8 || [[tel:204.2553|204.2553]] || || 9 || [[tel:229.7872|229.7872]] || || 10 || [[tel:255.3191|255.3191]] || || 11 || [[tel:280.8511|280.8511]] || || 12 || 306.383 || || 13 || [[tel:331.9149|331.9149]] || || 14 || [[tel:357.4468|357.4468]] || || 15 || [[tel:382.9787|382.9787]] || || 16 || [[tel:408.5106|408.5106]] || || 17 || [[tel:434.0426|434.0426]] || || 18 || [[tel:459.5745|459.5745]] || || 19 || [[tel:485.1064|485.1064]] || || 20 || [[tel:510.6383|510.6383]] || || 21 || [[tel:536.1702|536.1702]] || || 22 || [[tel:561.7021|561.7021]] || || 23 || 587.234 || || 24 || 612.766 || || 25 || [[tel:638.2979|638.2979]] || || 26 || [[tel:663.8298|663.8298]] || || 27 || [[tel:689.3617|689.3617]] || || 28 || [[tel:714.8936|714.8936]] || || 29 || [[tel:740.4255|740.4255]] || || 30 || [[tel:765.9574|765.9574]] || || 31 || [[tel:791.4894|791.4894]] || || 32 || [[tel:817.0213|817.0213]] || || 33 || [[tel:842.5532|842.5532]] || || 34 || [[tel:868.0851|868.0851]] || || 35 || 893.617 || || 36 || [[tel:919.1489|919.1489]] || || 37 || [[tel:944.6809|944.6809]] || || 38 || [[tel:970.2128|970.2128]] || || 39 || [[tel:995.7447|995.7447]] || || 40 || 1021.2766 || || 41 || 1046.8085 || || 42 || 1072.3404 || || 43 || 1097.8723 || || 44 || 1123.4043 || || 45 || 1148.9362 || || 46 || 1174.4681 ||
Original HTML content:
<html><head><title>47edo</title></head><body><!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="x47 tone Equal Temperament"></a><!-- ws:end:WikiTextHeadingRule:0 --><span style="color: #616161; font-size: 99%;">47 tone Equal Temperament</span></h1>
<br />
<strong><em>47-EDO</em></strong> divides the octave into 47 equal parts of 25.5319 cents each. It has a fifth which is 12.5933 cents flat, unless you use the alternative fifth which is 12.9386 cents sharp, similar to 35edo. It has therefore not aroused much interest, but its best approximation to 9/8 is actually quite good, one-third of a cent sharp. It does a good job of approximating the 2.9.5.7.33.13.17.57.69 23-limit <a class="wiki_link" href="/k%2AN%20subgroups">2*47 subgroup</a> of the <a class="wiki_link" href="/23-limit">23-limit</a>, on which it tempers out the same commas as <a class="wiki_link" href="/94edo">94edo</a>. It provides a good tuning for <a class="wiki_link" href="/Chromatic%20pairs#Baldy">baldy</a> and <a class="wiki_link" href="/Chromatic%20pairs#Silver">silver</a> temperaments and relatives.<br />
<br />
47edo is the 15th <a class="wiki_link" href="/prime%20numbers">prime</a> edo, following <a class="wiki_link" href="/43edo">43edo</a> and preceding <a class="wiki_link" href="/53edo">53edo</a>.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:<h2> --><h2 id="toc1"><a name="x47 tone Equal Temperament-Intervals of 47edo"></a><!-- ws:end:WikiTextHeadingRule:2 -->Intervals of 47edo</h2>
<br />
<table class="wiki_table">
<tr>
<th>Degrees of 47edo<br />
</th>
<th>Cents Value<br />
</th>
</tr>
<tr>
<td>0<br />
</td>
<td>0<br />
</td>
</tr>
<tr>
<td>1<br />
</td>
<td>25.5319<br />
</td>
</tr>
<tr>
<td>2<br />
</td>
<td>51.0638<br />
</td>
</tr>
<tr>
<td>3<br />
</td>
<td>76.5957<br />
</td>
</tr>
<tr>
<td>4<br />
</td>
<td><a class="wiki_link" href="http://tel.wikispaces.com/102.1277">102.1277</a><br />
</td>
</tr>
<tr>
<td>5<br />
</td>
<td><a class="wiki_link" href="http://tel.wikispaces.com/127.6596">127.6596</a><br />
</td>
</tr>
<tr>
<td>6<br />
</td>
<td><a class="wiki_link" href="http://tel.wikispaces.com/153.1915">153.1915</a><br />
</td>
</tr>
<tr>
<td>7<br />
</td>
<td><a class="wiki_link" href="http://tel.wikispaces.com/178.7234">178.7234</a><br />
</td>
</tr>
<tr>
<td>8<br />
</td>
<td><a class="wiki_link" href="http://tel.wikispaces.com/204.2553">204.2553</a><br />
</td>
</tr>
<tr>
<td>9<br />
</td>
<td><a class="wiki_link" href="http://tel.wikispaces.com/229.7872">229.7872</a><br />
</td>
</tr>
<tr>
<td>10<br />
</td>
<td><a class="wiki_link" href="http://tel.wikispaces.com/255.3191">255.3191</a><br />
</td>
</tr>
<tr>
<td>11<br />
</td>
<td><a class="wiki_link" href="http://tel.wikispaces.com/280.8511">280.8511</a><br />
</td>
</tr>
<tr>
<td>12<br />
</td>
<td>306.383<br />
</td>
</tr>
<tr>
<td>13<br />
</td>
<td><a class="wiki_link" href="http://tel.wikispaces.com/331.9149">331.9149</a><br />
</td>
</tr>
<tr>
<td>14<br />
</td>
<td><a class="wiki_link" href="http://tel.wikispaces.com/357.4468">357.4468</a><br />
</td>
</tr>
<tr>
<td>15<br />
</td>
<td><a class="wiki_link" href="http://tel.wikispaces.com/382.9787">382.9787</a><br />
</td>
</tr>
<tr>
<td>16<br />
</td>
<td><a class="wiki_link" href="http://tel.wikispaces.com/408.5106">408.5106</a><br />
</td>
</tr>
<tr>
<td>17<br />
</td>
<td><a class="wiki_link" href="http://tel.wikispaces.com/434.0426">434.0426</a><br />
</td>
</tr>
<tr>
<td>18<br />
</td>
<td><a class="wiki_link" href="http://tel.wikispaces.com/459.5745">459.5745</a><br />
</td>
</tr>
<tr>
<td>19<br />
</td>
<td><a class="wiki_link" href="http://tel.wikispaces.com/485.1064">485.1064</a><br />
</td>
</tr>
<tr>
<td>20<br />
</td>
<td><a class="wiki_link" href="http://tel.wikispaces.com/510.6383">510.6383</a><br />
</td>
</tr>
<tr>
<td>21<br />
</td>
<td><a class="wiki_link" href="http://tel.wikispaces.com/536.1702">536.1702</a><br />
</td>
</tr>
<tr>
<td>22<br />
</td>
<td><a class="wiki_link" href="http://tel.wikispaces.com/561.7021">561.7021</a><br />
</td>
</tr>
<tr>
<td>23<br />
</td>
<td>587.234<br />
</td>
</tr>
<tr>
<td>24<br />
</td>
<td>612.766<br />
</td>
</tr>
<tr>
<td>25<br />
</td>
<td><a class="wiki_link" href="http://tel.wikispaces.com/638.2979">638.2979</a><br />
</td>
</tr>
<tr>
<td>26<br />
</td>
<td><a class="wiki_link" href="http://tel.wikispaces.com/663.8298">663.8298</a><br />
</td>
</tr>
<tr>
<td>27<br />
</td>
<td><a class="wiki_link" href="http://tel.wikispaces.com/689.3617">689.3617</a><br />
</td>
</tr>
<tr>
<td>28<br />
</td>
<td><a class="wiki_link" href="http://tel.wikispaces.com/714.8936">714.8936</a><br />
</td>
</tr>
<tr>
<td>29<br />
</td>
<td><a class="wiki_link" href="http://tel.wikispaces.com/740.4255">740.4255</a><br />
</td>
</tr>
<tr>
<td>30<br />
</td>
<td><a class="wiki_link" href="http://tel.wikispaces.com/765.9574">765.9574</a><br />
</td>
</tr>
<tr>
<td>31<br />
</td>
<td><a class="wiki_link" href="http://tel.wikispaces.com/791.4894">791.4894</a><br />
</td>
</tr>
<tr>
<td>32<br />
</td>
<td><a class="wiki_link" href="http://tel.wikispaces.com/817.0213">817.0213</a><br />
</td>
</tr>
<tr>
<td>33<br />
</td>
<td><a class="wiki_link" href="http://tel.wikispaces.com/842.5532">842.5532</a><br />
</td>
</tr>
<tr>
<td>34<br />
</td>
<td><a class="wiki_link" href="http://tel.wikispaces.com/868.0851">868.0851</a><br />
</td>
</tr>
<tr>
<td>35<br />
</td>
<td>893.617<br />
</td>
</tr>
<tr>
<td>36<br />
</td>
<td><a class="wiki_link" href="http://tel.wikispaces.com/919.1489">919.1489</a><br />
</td>
</tr>
<tr>
<td>37<br />
</td>
<td><a class="wiki_link" href="http://tel.wikispaces.com/944.6809">944.6809</a><br />
</td>
</tr>
<tr>
<td>38<br />
</td>
<td><a class="wiki_link" href="http://tel.wikispaces.com/970.2128">970.2128</a><br />
</td>
</tr>
<tr>
<td>39<br />
</td>
<td><a class="wiki_link" href="http://tel.wikispaces.com/995.7447">995.7447</a><br />
</td>
</tr>
<tr>
<td>40<br />
</td>
<td>1021.2766<br />
</td>
</tr>
<tr>
<td>41<br />
</td>
<td>1046.8085<br />
</td>
</tr>
<tr>
<td>42<br />
</td>
<td>1072.3404<br />
</td>
</tr>
<tr>
<td>43<br />
</td>
<td>1097.8723<br />
</td>
</tr>
<tr>
<td>44<br />
</td>
<td>1123.4043<br />
</td>
</tr>
<tr>
<td>45<br />
</td>
<td>1148.9362<br />
</td>
</tr>
<tr>
<td>46<br />
</td>
<td>1174.4681<br />
</td>
</tr>
</table>
</body></html>