47edo: Difference between revisions

Revision as of 15:45, 6 December 2016

IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author JosephRuhf and made on 2016-12-06 15:45:55 UTC.

The original revision id was 601556162.

The revision comment was:

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

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 || 102.1277/1 ||
|| 5 || 127.6596/1 ||
|| 6 || 153.1915/1 ||
|| 7 || 178.7234/1 ||
|| 8 || 204.2553/1 ||
|| 9 || 229.7872/1 ||
|| 10 || 255.3191/1 ||
|| 11 || 280.8511/1 ||
|| 12 || 306.383 ||
|| 13 || 331.9149/1 ||
|| 14 || 357.4468/1 ||
|| 15 || 382.9787/1 ||
|| 16 || 408.5106/1 ||
|| 17 || 434.0426/1 ||
|| 18 || 459.5745/1 ||
|| 19 || 485.1064/1 ||
|| 20 || 510.6383/1 ||
|| 21 || 536.1702/1 ||
|| 22 || 561.7021/1 ||
|| 23 || 587.234 ||
|| 24 || 612.766 ||
|| 25 || 638.2979/1 ||
|| 26 || 663.8298/1 ||
|| 27 || 689.3617/1 ||
|| 28 || 714.8936/1 ||
|| 29 || 740.4255/1 ||
|| 30 || 765.9574/1 ||
|| 31 || 791.4894/1 ||
|| 32 || 817.0213/1 ||
|| 33 || 842.5532/1 ||
|| 34 || 868.0851/1 ||
|| 35 || 893.617 ||
|| 36 || 919.1489/1 ||
|| 37 || 944.6809/1 ||
|| 38 || 970.2128/1 ||
|| 39 || 995.7447/1 ||
|| 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:&lt;h1&gt; --><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:&lt;h2&gt; --><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>102.1277/1<br />
</td>
    </tr>
    <tr>
        <td>5<br />
</td>
        <td>127.6596/1<br />
</td>
    </tr>
    <tr>
        <td>6<br />
</td>
        <td>153.1915/1<br />
</td>
    </tr>
    <tr>
        <td>7<br />
</td>
        <td>178.7234/1<br />
</td>
    </tr>
    <tr>
        <td>8<br />
</td>
        <td>204.2553/1<br />
</td>
    </tr>
    <tr>
        <td>9<br />
</td>
        <td>229.7872/1<br />
</td>
    </tr>
    <tr>
        <td>10<br />
</td>
        <td>255.3191/1<br />
</td>
    </tr>
    <tr>
        <td>11<br />
</td>
        <td>280.8511/1<br />
</td>
    </tr>
    <tr>
        <td>12<br />
</td>
        <td>306.383<br />
</td>
    </tr>
    <tr>
        <td>13<br />
</td>
        <td>331.9149/1<br />
</td>
    </tr>
    <tr>
        <td>14<br />
</td>
        <td>357.4468/1<br />
</td>
    </tr>
    <tr>
        <td>15<br />
</td>
        <td>382.9787/1<br />
</td>
    </tr>
    <tr>
        <td>16<br />
</td>
        <td>408.5106/1<br />
</td>
    </tr>
    <tr>
        <td>17<br />
</td>
        <td>434.0426/1<br />
</td>
    </tr>
    <tr>
        <td>18<br />
</td>
        <td>459.5745/1<br />
</td>
    </tr>
    <tr>
        <td>19<br />
</td>
        <td>485.1064/1<br />
</td>
    </tr>
    <tr>
        <td>20<br />
</td>
        <td>510.6383/1<br />
</td>
    </tr>
    <tr>
        <td>21<br />
</td>
        <td>536.1702/1<br />
</td>
    </tr>
    <tr>
        <td>22<br />
</td>
        <td>561.7021/1<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>638.2979/1<br />
</td>
    </tr>
    <tr>
        <td>26<br />
</td>
        <td>663.8298/1<br />
</td>
    </tr>
    <tr>
        <td>27<br />
</td>
        <td>689.3617/1<br />
</td>
    </tr>
    <tr>
        <td>28<br />
</td>
        <td>714.8936/1<br />
</td>
    </tr>
    <tr>
        <td>29<br />
</td>
        <td>740.4255/1<br />
</td>
    </tr>
    <tr>
        <td>30<br />
</td>
        <td>765.9574/1<br />
</td>
    </tr>
    <tr>
        <td>31<br />
</td>
        <td>791.4894/1<br />
</td>
    </tr>
    <tr>
        <td>32<br />
</td>
        <td>817.0213/1<br />
</td>
    </tr>
    <tr>
        <td>33<br />
</td>
        <td>842.5532/1<br />
</td>
    </tr>
    <tr>
        <td>34<br />
</td>
        <td>868.0851/1<br />
</td>
    </tr>
    <tr>
        <td>35<br />
</td>
        <td>893.617<br />
</td>
    </tr>
    <tr>
        <td>36<br />
</td>
        <td>919.1489/1<br />
</td>
    </tr>
    <tr>
        <td>37<br />
</td>
        <td>944.6809/1<br />
</td>
    </tr>
    <tr>
        <td>38<br />
</td>
        <td>970.2128/1<br />
</td>
    </tr>
    <tr>
        <td>39<br />
</td>
        <td>995.7447/1<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>

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
-: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-12-06 08:54:36 UTC</tt>.<br>
+: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-12-06 15:45:55 UTC</tt>.<br>
-: The original revision id was <tt>601504896</tt>.<br>
+: The original revision id was <tt>601556162</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>
@@ Line 19: / Line 19: @@
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 || 3 || 76.5957 ||
-|| 4 || [[tel/102.1277|102.1277]] ||
+|| 4 || 102.1277/1 ||
-|| 5 || [[tel/127.6596|127.6596]] ||
+|| 5 || 127.6596/1 ||
-|| 6 || [[tel/153.1915|153.1915]] ||
+|| 6 || 153.1915/1 ||
-|| 7 || [[tel/178.7234|178.7234]] ||
+|| 7 || 178.7234/1 ||
-|| 8 || [[tel/204.2553|204.2553]] ||
+|| 8 || 204.2553/1 ||
-|| 9 || [[tel/229.7872|229.7872]] ||
+|| 9 || 229.7872/1 ||
-|| 10 || [[tel/255.3191|255.3191]] ||
+|| 10 || 255.3191/1 ||
-|| 11 || [[tel/280.8511|280.8511]] ||
+|| 11 || 280.8511/1 ||
 || 12 || 306.383 ||
-|| 13 || [[tel/331.9149|331.9149]] ||
+|| 13 || 331.9149/1 ||
-|| 14 || [[tel/357.4468|357.4468]] ||
+|| 14 || 357.4468/1 ||
-|| 15 || [[tel/382.9787|382.9787]] ||
+|| 15 || 382.9787/1 ||
-|| 16 || [[tel/408.5106|408.5106]] ||
+|| 16 || 408.5106/1 ||
-|| 17 || [[tel/434.0426|434.0426]] ||
+|| 17 || 434.0426/1 ||
-|| 18 || [[tel/459.5745|459.5745]] ||
+|| 18 || 459.5745/1 ||
-|| 19 || [[tel/485.1064|485.1064]] ||
+|| 19 || 485.1064/1 ||
-|| 20 || [[tel/510.6383|510.6383]] ||
+|| 20 || 510.6383/1 ||
-|| 21 || [[tel/536.1702|536.1702]] ||
+|| 21 || 536.1702/1 ||
-|| 22 || [[tel/561.7021|561.7021]] ||
+|| 22 || 561.7021/1 ||
 || 23 || 587.234 ||
 || 24 || 612.766 ||
-|| 25 || [[tel/638.2979|638.2979]] ||
+|| 25 || 638.2979/1 ||
-|| 26 || [[tel/663.8298|663.8298]] ||
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-|| 27 || [[tel/689.3617|689.3617]] ||
+|| 27 || 689.3617/1 ||
-|| 28 || [[tel/714.8936|714.8936]] ||
+|| 28 || 714.8936/1 ||
-|| 29 || [[tel/740.4255|740.4255]] ||
+|| 29 || 740.4255/1 ||
-|| 30 || [[tel/765.9574|765.9574]] ||
+|| 30 || 765.9574/1 ||
-|| 31 || [[tel/791.4894|791.4894]] ||
+|| 31 || 791.4894/1 ||
-|| 32 || [[tel/817.0213|817.0213]] ||
+|| 32 || 817.0213/1 ||
-|| 33 || [[tel/842.5532|842.5532]] ||
+|| 33 || 842.5532/1 ||
-|| 34 || [[tel/868.0851|868.0851]] ||
+|| 34 || 868.0851/1 ||
 || 35 || 893.617 ||
-|| 36 || [[tel/919.1489|919.1489]] ||
+|| 36 || 919.1489/1 ||
-|| 37 || [[tel/944.6809|944.6809]] ||
+|| 37 || 944.6809/1 ||
-|| 38 || [[tel/970.2128|970.2128]] ||
+|| 38 || 970.2128/1 ||
-|| 39 || [[tel/995.7447|995.7447]] ||
+|| 39 || 995.7447/1 ||
 || 40 || 1021.2766 ||
 || 41 || 1046.8085 ||
@@ Line 107: / Line 107: @@
          &lt;td&gt;4&lt;br /&gt;
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-         &lt;td&gt;&lt;a class="wiki_link" href="http://tel.wikispaces.com/102.1277"&gt;102.1277&lt;/a&gt;&lt;br /&gt;
+         &lt;td&gt;102.1277/1&lt;br /&gt;
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-         &lt;td&gt;&lt;a class="wiki_link" href="http://tel.wikispaces.com/127.6596"&gt;127.6596&lt;/a&gt;&lt;br /&gt;
+         &lt;td&gt;127.6596/1&lt;br /&gt;
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-         &lt;td&gt;&lt;a class="wiki_link" href="http://tel.wikispaces.com/153.1915"&gt;153.1915&lt;/a&gt;&lt;br /&gt;
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          &lt;td&gt;7&lt;br /&gt;
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+         &lt;td&gt;178.7234/1&lt;br /&gt;
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@@ Line 131: / Line 131: @@
          &lt;td&gt;8&lt;br /&gt;
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-         &lt;td&gt;&lt;a class="wiki_link" href="http://tel.wikispaces.com/204.2553"&gt;204.2553&lt;/a&gt;&lt;br /&gt;
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          &lt;td&gt;10&lt;br /&gt;
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          &lt;td&gt;13&lt;br /&gt;
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          &lt;td&gt;14&lt;br /&gt;
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-         &lt;td&gt;&lt;a class="wiki_link" href="http://tel.wikispaces.com/357.4468"&gt;357.4468&lt;/a&gt;&lt;br /&gt;
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          &lt;td&gt;15&lt;br /&gt;
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-         &lt;td&gt;&lt;a class="wiki_link" href="http://tel.wikispaces.com/382.9787"&gt;382.9787&lt;/a&gt;&lt;br /&gt;
+         &lt;td&gt;382.9787/1&lt;br /&gt;
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-         &lt;td&gt;&lt;a class="wiki_link" href="http://tel.wikispaces.com/408.5106"&gt;408.5106&lt;/a&gt;&lt;br /&gt;
+         &lt;td&gt;408.5106/1&lt;br /&gt;
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          &lt;td&gt;17&lt;br /&gt;
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-         &lt;td&gt;&lt;a class="wiki_link" href="http://tel.wikispaces.com/434.0426"&gt;434.0426&lt;/a&gt;&lt;br /&gt;
+         &lt;td&gt;434.0426/1&lt;br /&gt;
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-         &lt;td&gt;&lt;a class="wiki_link" href="http://tel.wikispaces.com/459.5745"&gt;459.5745&lt;/a&gt;&lt;br /&gt;
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          &lt;td&gt;19&lt;br /&gt;
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-         &lt;td&gt;&lt;a class="wiki_link" href="http://tel.wikispaces.com/485.1064"&gt;485.1064&lt;/a&gt;&lt;br /&gt;
+         &lt;td&gt;485.1064/1&lt;br /&gt;
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@@ Line 203: / Line 203: @@
          &lt;td&gt;20&lt;br /&gt;
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-         &lt;td&gt;&lt;a class="wiki_link" href="http://tel.wikispaces.com/510.6383"&gt;510.6383&lt;/a&gt;&lt;br /&gt;
+         &lt;td&gt;510.6383/1&lt;br /&gt;
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      &lt;/tr&gt;
@@ Line 209: / Line 209: @@
          &lt;td&gt;21&lt;br /&gt;
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-         &lt;td&gt;&lt;a class="wiki_link" href="http://tel.wikispaces.com/536.1702"&gt;536.1702&lt;/a&gt;&lt;br /&gt;
+         &lt;td&gt;536.1702/1&lt;br /&gt;
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@@ Line 215: / Line 215: @@
          &lt;td&gt;22&lt;br /&gt;
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-         &lt;td&gt;&lt;a class="wiki_link" href="http://tel.wikispaces.com/561.7021"&gt;561.7021&lt;/a&gt;&lt;br /&gt;
+         &lt;td&gt;561.7021/1&lt;br /&gt;
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          &lt;td&gt;25&lt;br /&gt;
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-         &lt;td&gt;&lt;a class="wiki_link" href="http://tel.wikispaces.com/638.2979"&gt;638.2979&lt;/a&gt;&lt;br /&gt;
+         &lt;td&gt;638.2979/1&lt;br /&gt;
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-         &lt;td&gt;&lt;a class="wiki_link" href="http://tel.wikispaces.com/663.8298"&gt;663.8298&lt;/a&gt;&lt;br /&gt;
+         &lt;td&gt;663.8298/1&lt;br /&gt;
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47edo: Difference between revisions

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