47edo
IMPORTED REVISION FROM WIKISPACES
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- This revision was by author Andrew_Heathwaite and made on 2011-12-31 01:36:30 UTC.
- The original revision id was 288886171.
- The revision comment was:
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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. 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. ==Intervals of 47edo== ||~ Degrees of 47edo ||~ Cents Value || || 0 || 0 || || 1 || 25.532 || || 2 || 51.064 || || 3 || 76.596 || || 4 || 102.128 || || 5 || 127.66 || || 6 || 153.191 || || 7 || 178.723 || || 8 || 204.255 || || 9 || 229.787 || || 10 || 255.319 || || 11 || 280.851 || || 12 || 306.383 || || 13 || 331.915 || || 14 || 357.447 || || 15 || 382.979 || || 16 || 408.511 || || 17 || 434.043 || || 18 || 459.574 || || 19 || 485.106 || || 20 || 510.638 || || 21 || 536.17 || || 22 || 561.702 || || 23 || 587.234 || || 24 || 612.766 || || 25 || 638.298 || || 26 || 663.83 || || 27 || 689.362 || || 28 || 714.894 || || 29 || 740.426 || || 30 || 765.957 || || 31 || 791.489 || || 32 || 817.021 || || 33 || 842.553 || || 34 || 868.085 || || 35 || 893.617 || || 36 || 919.149 || || 37 || 944.681 || || 38 || 970.213 || || 39 || 995.745 || || 40 || 1021.277 || || 41 || 1046.809 || || 42 || 1072.34 || || 43 || 1097.872 || || 44 || 1123.404 || || 45 || 1148.936 || || 46 || 1174.468 ||
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. 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 />
<!-- 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>25.532<br />
</td>
</tr>
<tr>
<td>2<br />
</td>
<td>51.064<br />
</td>
</tr>
<tr>
<td>3<br />
</td>
<td>76.596<br />
</td>
</tr>
<tr>
<td>4<br />
</td>
<td>102.128<br />
</td>
</tr>
<tr>
<td>5<br />
</td>
<td>127.66<br />
</td>
</tr>
<tr>
<td>6<br />
</td>
<td>153.191<br />
</td>
</tr>
<tr>
<td>7<br />
</td>
<td>178.723<br />
</td>
</tr>
<tr>
<td>8<br />
</td>
<td>204.255<br />
</td>
</tr>
<tr>
<td>9<br />
</td>
<td>229.787<br />
</td>
</tr>
<tr>
<td>10<br />
</td>
<td>255.319<br />
</td>
</tr>
<tr>
<td>11<br />
</td>
<td>280.851<br />
</td>
</tr>
<tr>
<td>12<br />
</td>
<td>306.383<br />
</td>
</tr>
<tr>
<td>13<br />
</td>
<td>331.915<br />
</td>
</tr>
<tr>
<td>14<br />
</td>
<td>357.447<br />
</td>
</tr>
<tr>
<td>15<br />
</td>
<td>382.979<br />
</td>
</tr>
<tr>
<td>16<br />
</td>
<td>408.511<br />
</td>
</tr>
<tr>
<td>17<br />
</td>
<td>434.043<br />
</td>
</tr>
<tr>
<td>18<br />
</td>
<td>459.574<br />
</td>
</tr>
<tr>
<td>19<br />
</td>
<td>485.106<br />
</td>
</tr>
<tr>
<td>20<br />
</td>
<td>510.638<br />
</td>
</tr>
<tr>
<td>21<br />
</td>
<td>536.17<br />
</td>
</tr>
<tr>
<td>22<br />
</td>
<td>561.702<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>638.298<br />
</td>
</tr>
<tr>
<td>26<br />
</td>
<td>663.83<br />
</td>
</tr>
<tr>
<td>27<br />
</td>
<td>689.362<br />
</td>
</tr>
<tr>
<td>28<br />
</td>
<td>714.894<br />
</td>
</tr>
<tr>
<td>29<br />
</td>
<td>740.426<br />
</td>
</tr>
<tr>
<td>30<br />
</td>
<td>765.957<br />
</td>
</tr>
<tr>
<td>31<br />
</td>
<td>791.489<br />
</td>
</tr>
<tr>
<td>32<br />
</td>
<td>817.021<br />
</td>
</tr>
<tr>
<td>33<br />
</td>
<td>842.553<br />
</td>
</tr>
<tr>
<td>34<br />
</td>
<td>868.085<br />
</td>
</tr>
<tr>
<td>35<br />
</td>
<td>893.617<br />
</td>
</tr>
<tr>
<td>36<br />
</td>
<td>919.149<br />
</td>
</tr>
<tr>
<td>37<br />
</td>
<td>944.681<br />
</td>
</tr>
<tr>
<td>38<br />
</td>
<td>970.213<br />
</td>
</tr>
<tr>
<td>39<br />
</td>
<td>995.745<br />
</td>
</tr>
<tr>
<td>40<br />
</td>
<td>1021.277<br />
</td>
</tr>
<tr>
<td>41<br />
</td>
<td>1046.809<br />
</td>
</tr>
<tr>
<td>42<br />
</td>
<td>1072.34<br />
</td>
</tr>
<tr>
<td>43<br />
</td>
<td>1097.872<br />
</td>
</tr>
<tr>
<td>44<br />
</td>
<td>1123.404<br />
</td>
</tr>
<tr>
<td>45<br />
</td>
<td>1148.936<br />
</td>
</tr>
<tr>
<td>46<br />
</td>
<td>1174.468<br />
</td>
</tr>
</table>
</body></html>