57edo: Difference between revisions
Wikispaces>genewardsmith **Imported revision 164480301 - Original comment: ** |
Wikispaces>Osmiorisbendi **Imported revision 211596434 - 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:Osmiorisbendi|Osmiorisbendi]] and made on <tt>2011-03-17 19:38:11 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>211596434</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">//57edo// divides the octave into 57 parts of size 21.053. It can be used to tune mothra temperament. | <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">=<span style="color: #006118;">57 tone equal temperament</span>= | ||
//57edo// divides the octave into 57 parts of size 21.053. It can be used to tune mothra temperament. | |||
5-limit commas: 81/80, 3125/3072 | 5-limit commas: 81/80, 3125/3072 | ||
Line 12: | Line 14: | ||
7-limit commas: 81/80, 3125/3072, 1029/1024 | 7-limit commas: 81/80, 3125/3072, 1029/1024 | ||
11-limit commas: 99/98, 385/384, 441/440, 625/616</pre></div> | 11-limit commas: 99/98, 385/384, 441/440, 625/616 | ||
==Intervals== | |||
|| Degrees of 57-EDO || Cents value || | |||
|| 0 || 0 || | |||
|| 1 || 21,0526 || | |||
|| 2 || 42,1053 || | |||
|| 3 || 63,1579 || | |||
|| 4 || 84,2105 || | |||
|| 5 || 105,2632 || | |||
|| 6 || 126,3158 || | |||
|| 7 || 147,3684 || | |||
|| 8 || 168,4211 || | |||
|| 9 || 189,4737 || | |||
|| 10 || 210,5263 || | |||
|| 11 || 231,5789 || | |||
|| 12 || 252,6316 || | |||
|| 13 || 273,6842 || | |||
|| 14 || 294,7368 || | |||
|| 15 || 315,7895 || | |||
|| 16 || 336,8421 || | |||
|| 17 || 357,8947 || | |||
|| 18 || 378,9474 || | |||
|| 19 || 400 || | |||
|| 20 || 421,0526 || | |||
|| 21 || 442,1053 || | |||
|| 22 || 463,1579 || | |||
|| 23 || 484,2105 || | |||
|| 24 || 505,2632 || | |||
|| 25 || 526,3158 || | |||
|| 26 || 547,3684 || | |||
|| 27 || 568,4211 || | |||
|| 28 || 589,4737 || | |||
|| 29 || 610,5263 || | |||
|| 30 || 631,5789 || | |||
|| 31 || 652,6316 || | |||
|| 32 || 673,6842 || | |||
|| 33 || 694,7368 || | |||
|| 34 || 715,7895 || | |||
|| 35 || 736,8421 || | |||
|| 36 || 757,8947 || | |||
|| 37 || 778,9474 || | |||
|| 38 || 800 || | |||
|| 39 || 821,0526 || | |||
|| 40 || 842,1053 || | |||
|| 41 || 863,1579 || | |||
|| 42 || 884,2105 || | |||
|| 43 || 905,2632 || | |||
|| 44 || 926,3158 || | |||
|| 45 || 947,3684 || | |||
|| 46 || 968,4211 || | |||
|| 47 || 989,4737 || | |||
|| 48 || 1010,5263 || | |||
|| 49 || 1031,5789 || | |||
|| 50 || 1052,6316 || | |||
|| 51 || 1073,6842 || | |||
|| 52 || 1094,7368 || | |||
|| 53 || 1115,7895 || | |||
|| 54 || 1136,8421 || | |||
|| 55 || 1157,8947 || | |||
|| 56 || 1178,9474 ||</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>57edo</title></head><body><em>57edo</em> divides the octave into 57 parts of size 21.053. It can be used to tune mothra temperament.<br /> | <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>57edo</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x57 tone equal temperament"></a><!-- ws:end:WikiTextHeadingRule:0 --><span style="color: #006118;">57 tone equal temperament</span></h1> | ||
<br /> | |||
<em>57edo</em> divides the octave into 57 parts of size 21.053. It can be used to tune mothra temperament.<br /> | |||
<br /> | <br /> | ||
5-limit commas: 81/80, 3125/3072<br /> | 5-limit commas: 81/80, 3125/3072<br /> | ||
Line 20: | Line 84: | ||
7-limit commas: 81/80, 3125/3072, 1029/1024<br /> | 7-limit commas: 81/80, 3125/3072, 1029/1024<br /> | ||
<br /> | <br /> | ||
11-limit commas: 99/98, 385/384, 441/440, 625/616</body></html></pre></div> | 11-limit commas: 99/98, 385/384, 441/440, 625/616<br /> | ||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="x57 tone equal temperament-Intervals"></a><!-- ws:end:WikiTextHeadingRule:2 -->Intervals</h2> | |||
<table class="wiki_table"> | |||
<tr> | |||
<td>Degrees of 57-EDO<br /> | |||
</td> | |||
<td>Cents value<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>0<br /> | |||
</td> | |||
<td>0<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>1<br /> | |||
</td> | |||
<td>21,0526<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>2<br /> | |||
</td> | |||
<td>42,1053<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>3<br /> | |||
</td> | |||
<td>63,1579<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>4<br /> | |||
</td> | |||
<td>84,2105<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>5<br /> | |||
</td> | |||
<td>105,2632<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>6<br /> | |||
</td> | |||
<td>126,3158<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>7<br /> | |||
</td> | |||
<td>147,3684<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>8<br /> | |||
</td> | |||
<td>168,4211<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>9<br /> | |||
</td> | |||
<td>189,4737<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>10<br /> | |||
</td> | |||
<td>210,5263<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>11<br /> | |||
</td> | |||
<td>231,5789<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>12<br /> | |||
</td> | |||
<td>252,6316<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>13<br /> | |||
</td> | |||
<td>273,6842<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>14<br /> | |||
</td> | |||
<td>294,7368<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>15<br /> | |||
</td> | |||
<td>315,7895<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>16<br /> | |||
</td> | |||
<td>336,8421<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>17<br /> | |||
</td> | |||
<td>357,8947<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>18<br /> | |||
</td> | |||
<td>378,9474<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>19<br /> | |||
</td> | |||
<td>400<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>20<br /> | |||
</td> | |||
<td>421,0526<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>21<br /> | |||
</td> | |||
<td>442,1053<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>22<br /> | |||
</td> | |||
<td>463,1579<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>23<br /> | |||
</td> | |||
<td>484,2105<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>24<br /> | |||
</td> | |||
<td>505,2632<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>25<br /> | |||
</td> | |||
<td>526,3158<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>26<br /> | |||
</td> | |||
<td>547,3684<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>27<br /> | |||
</td> | |||
<td>568,4211<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>28<br /> | |||
</td> | |||
<td>589,4737<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>29<br /> | |||
</td> | |||
<td>610,5263<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>30<br /> | |||
</td> | |||
<td>631,5789<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>31<br /> | |||
</td> | |||
<td>652,6316<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>32<br /> | |||
</td> | |||
<td>673,6842<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>33<br /> | |||
</td> | |||
<td>694,7368<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>34<br /> | |||
</td> | |||
<td>715,7895<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>35<br /> | |||
</td> | |||
<td>736,8421<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>36<br /> | |||
</td> | |||
<td>757,8947<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>37<br /> | |||
</td> | |||
<td>778,9474<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>38<br /> | |||
</td> | |||
<td>800<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>39<br /> | |||
</td> | |||
<td>821,0526<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>40<br /> | |||
</td> | |||
<td>842,1053<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>41<br /> | |||
</td> | |||
<td>863,1579<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>42<br /> | |||
</td> | |||
<td>884,2105<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>43<br /> | |||
</td> | |||
<td>905,2632<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>44<br /> | |||
</td> | |||
<td>926,3158<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>45<br /> | |||
</td> | |||
<td>947,3684<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>46<br /> | |||
</td> | |||
<td>968,4211<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>47<br /> | |||
</td> | |||
<td>989,4737<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>48<br /> | |||
</td> | |||
<td>1010,5263<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>49<br /> | |||
</td> | |||
<td>1031,5789<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>50<br /> | |||
</td> | |||
<td>1052,6316<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>51<br /> | |||
</td> | |||
<td>1073,6842<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>52<br /> | |||
</td> | |||
<td>1094,7368<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>53<br /> | |||
</td> | |||
<td>1115,7895<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>54<br /> | |||
</td> | |||
<td>1136,8421<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>55<br /> | |||
</td> | |||
<td>1157,8947<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>56<br /> | |||
</td> | |||
<td>1178,9474<br /> | |||
</td> | |||
</tr> | |||
</table> | |||
</body></html></pre></div> |