List of superparticular intervals: Difference between revisions
Wikispaces>keenanpepper **Imported revision 269487406 - Original comment: ** |
Wikispaces>keenanpepper **Imported revision 269489636 - Original comment: ** |
||
| Line 1: | Line 1: | ||
<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:keenanpepper|keenanpepper]] and made on <tt>2011-10-28 04: | : This revision was by author [[User:keenanpepper|keenanpepper]] and made on <tt>2011-10-28 04:28:07 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>269489636</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> | ||
| Line 59: | Line 59: | ||
|| [[540_539|540/539]] || 3.2090 || (2^2*3^3*5)/(7^2*11) || || | || [[540_539|540/539]] || 3.2090 || (2^2*3^3*5)/(7^2*11) || || | ||
|| [[3025_3024|3025/3024]] || 0.57240 || (5^2*11^2)/(2^4*3^3*7) || || | || [[3025_3024|3025/3024]] || 0.57240 || (5^2*11^2)/(2^4*3^3*7) || || | ||
|| [[9801_9800|9801/9800]] || 0.17665 || (3^4*11^2)/(2^3*5^2*7^2) || | || [[9801_9800|9801/9800]] || 0.17665 || (3^4*11^2)/(2^3*5^2*7^2) || Gauss comma || | ||
||||||||~ 13-limit | ||||||||~ 13-limit || | ||
|| [[13_12|13/12]] || 138.573 || 13/(2<span style="vertical-align: super;">2</span>*3) || tridecimal 2/3-tone || | || [[13_12|13/12]] || 138.573 || 13/(2<span style="vertical-align: super;">2</span>*3) || tridecimal 2/3-tone || | ||
|| [[14_13|14/13]] || 128.298 || (2*7)/13 || 2/3-tone, trienthird || | || [[14_13|14/13]] || 128.298 || (2*7)/13 || 2/3-tone, trienthird || | ||
| Line 70: | Line 70: | ||
|| [[78_77|78/77]] || 22.339 || (2*3*13)/(7*11) || || | || [[78_77|78/77]] || 22.339 || (2*3*13)/(7*11) || || | ||
|| [[91_90|91/90]] || 19.130 || (7*13)/(2*3<span style="vertical-align: super;">2</span>*5) || || | || [[91_90|91/90]] || 19.130 || (7*13)/(2*3<span style="vertical-align: super;">2</span>*5) || || | ||
|| [[105_104|105/104]] || 16.567 || || || | |||
|| [[144_143|144/143]] || 12.064 || || || | |||
|| [[169_168|169/168]] || 10.274 || || || | |||
|| [[196_195|196/195]] || 8.8554 || || || | |||
|| [[325_324|325/324]] || 5.3351 || || || | |||
|| [[351_350|351/350]] || 4.9393 || || || | |||
|| [[352_351|352/351]] || 4.9253 || || || | |||
|| [[364_363|364/363]] || 4.7627 || || || | |||
|| [[625_624|625/624]] || 2.7722 || || || | |||
|| [[676_675|676/675]] || 2.5629 || || || | |||
|| [[729_728|729/728]] || 2.3764 || || || | |||
|| [[1001_1000|1001/1000]] || 1.7304 || || || | |||
|| [[1716_1715|1716/1715]] || 1.0092 || || || | |||
|| [[2080_2079|2080/2079]] || 0.83252 || || || | |||
|| [[4096_4095|4096/4095]] || 0.42272 || || || | |||
|| [[4225_4224|4225/4224]] || 0.40981 || || || | |||
|| [[6656_6655|6656/6655]] || 0.26012 || || || | |||
|| [[10648_10647|10648/10647]] || 0.16260 || || || | |||
|| [[123201_123200|123201/123200]] || 0.014052 || || || | |||
||||||||~ 17-limit (incomplete) || | ||||||||~ 17-limit (incomplete) || | ||
|| [[17_16|17/16]] || 104.955 || 17/2<span style="vertical-align: super;">4</span> || 17th harmonic (octave reduced) || | || [[17_16|17/16]] || 104.955 || 17/2<span style="vertical-align: super;">4</span> || 17th harmonic (octave reduced) || | ||
| Line 592: | Line 611: | ||
<td>(3^4*11^2)/(2^3*5^2*7^2)<br /> | <td>(3^4*11^2)/(2^3*5^2*7^2)<br /> | ||
</td> | </td> | ||
<td><br /> | <td>Gauss comma<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<th colspan="4">13-limit | <th colspan="4">13-limit<br /> | ||
</th> | </th> | ||
</tr> | </tr> | ||
| Line 685: | Line 704: | ||
</td> | </td> | ||
<td>(7*13)/(2*3<span style="vertical-align: super;">2</span>*5)<br /> | <td>(7*13)/(2*3<span style="vertical-align: super;">2</span>*5)<br /> | ||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><a class="wiki_link" href="/105_104">105/104</a><br /> | |||
</td> | |||
<td>16.567<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><a class="wiki_link" href="/144_143">144/143</a><br /> | |||
</td> | |||
<td>12.064<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><a class="wiki_link" href="/169_168">169/168</a><br /> | |||
</td> | |||
<td>10.274<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><a class="wiki_link" href="/196_195">196/195</a><br /> | |||
</td> | |||
<td>8.8554<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><a class="wiki_link" href="/325_324">325/324</a><br /> | |||
</td> | |||
<td>5.3351<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><a class="wiki_link" href="/351_350">351/350</a><br /> | |||
</td> | |||
<td>4.9393<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><a class="wiki_link" href="/352_351">352/351</a><br /> | |||
</td> | |||
<td>4.9253<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><a class="wiki_link" href="/364_363">364/363</a><br /> | |||
</td> | |||
<td>4.7627<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><a class="wiki_link" href="/625_624">625/624</a><br /> | |||
</td> | |||
<td>2.7722<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><a class="wiki_link" href="/676_675">676/675</a><br /> | |||
</td> | |||
<td>2.5629<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><a class="wiki_link" href="/729_728">729/728</a><br /> | |||
</td> | |||
<td>2.3764<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><a class="wiki_link" href="/1001_1000">1001/1000</a><br /> | |||
</td> | |||
<td>1.7304<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><a class="wiki_link" href="/1716_1715">1716/1715</a><br /> | |||
</td> | |||
<td>1.0092<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><a class="wiki_link" href="/2080_2079">2080/2079</a><br /> | |||
</td> | |||
<td>0.83252<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><a class="wiki_link" href="/4096_4095">4096/4095</a><br /> | |||
</td> | |||
<td>0.42272<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><a class="wiki_link" href="/4225_4224">4225/4224</a><br /> | |||
</td> | |||
<td>0.40981<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><a class="wiki_link" href="/6656_6655">6656/6655</a><br /> | |||
</td> | |||
<td>0.26012<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><a class="wiki_link" href="/10648_10647">10648/10647</a><br /> | |||
</td> | |||
<td>0.16260<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><a class="wiki_link" href="/123201_123200">123201/123200</a><br /> | |||
</td> | |||
<td>0.014052<br /> | |||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||