List of superparticular intervals: Difference between revisions
Wikispaces>Andrew_Heathwaite **Imported revision 255054910 - Original comment: ** |
Wikispaces>Andrew_Heathwaite **Imported revision 255078792 - 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:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2011-09-17 | : This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2011-09-17 13:54:21 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>255078792</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> | ||
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|| [[55_54|55/54]] || 31.767 || (5*11)/(2*3<span style="vertical-align: super;">3</span>) || 11 || || | || [[55_54|55/54]] || 31.767 || (5*11)/(2*3<span style="vertical-align: super;">3</span>) || 11 || || | ||
|| [[56_55|56/55]] || 31.194 || (2<span style="vertical-align: super;">3</span>*7)/(5*11) || 11 || || | || [[56_55|56/55]] || 31.194 || (2<span style="vertical-align: super;">3</span>*7)/(5*11) || 11 || || | ||
|| | || [[57_56|57/56]] || 30.642 || (3*19)/(2<span style="vertical-align: super;">3</span>*7) || 19 || || | ||
|| | || [[58_57|58/57]] || 30.109 || (2*29)/(3*19) || 29 || || | ||
|| | || [[59_58|59/58]] || 29.594 || 59/(2*29) || 59 || || | ||
|| | || [[60_59|60/59]] || 29.097 || (2<span style="vertical-align: super;">2</span>*3*5)/59 || 59 || || | ||
|| | || [[61_60|61/60]] || 28.616 || 61/(2<span style="vertical-align: super;">2</span>*3*5) || 61 || || | ||
|| | || [[62_61|62/61]] || 28.151 || (2*31)/61 || 61 || || | ||
|| | || [[63_62|63/62]] || 27.700 || (3<span style="vertical-align: super;">2</span>*7)/(2*31) || 31 || || | ||
|| | || [[64_63|64/63]] || 27.264 || 2<span style="vertical-align: super;">6</span>/(3<span style="vertical-align: super;">2</span>*7) || 7 || septimal comma, Archytas' comma || | ||
|| | || [[65_64|65/64]] || 26.841 || (5*13)/2<span style="vertical-align: super;">6</span> || 13 || 13th-partial chroma || | ||
|| | || [[66_65|66/65]] || 26.432 || (2*3*11)/(5*13) || 13 || || | ||
|| | || [[67_66|67/66]] || 26.034 || 67/(2*3*11) || 67 || || | ||
|| | || [[68_67|68/67]] || 25.648 || (2<span style="vertical-align: super;">2</span>*17)/67 || 67 || || | ||
|| | || [[69_68|69/68]] || 25.274 || (3*23)/(2<span style="vertical-align: super;">2</span>*17) || 23 || || | ||
|| | || [[70_69|70/69]] || 24.910 || (2*5*7)/(3*23) || 23 || || | ||
|| | || [[71_70|71/70]] || 24.557 || 71/(2*5*7) || 71 || || | ||
|| | || [[72_71|72/71]] || 24.213 || (2<span style="vertical-align: super;">3</span>*3<span style="vertical-align: super;">2</span>)/71 || 71 || || | ||
|| | || [[73_72|73/72]] || 23.879 || 73/(2<span style="vertical-align: super;">3</span>*3<span style="vertical-align: super;">2</span>) || 73 || || | ||
|| | || [[74_73|74/73]] || 23.555 || (2*37)/73 || 73 || || | ||
|| || || || || || | || || || || || || | ||
|| || || || || || | || || || || || || | ||
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</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td><a class="wiki_link" href="/57_56">57/56</a><br /> | ||
</td> | </td> | ||
<td><br /> | <td>30.642<br /> | ||
</td> | </td> | ||
<td><br /> | <td>(3*19)/(2<span style="vertical-align: super;">3</span>*7)<br /> | ||
</td> | </td> | ||
<td><br /> | <td>19<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 812: | Line 812: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td><a class="wiki_link" href="/58_57">58/57</a><br /> | ||
</td> | </td> | ||
<td><br /> | <td>30.109<br /> | ||
</td> | </td> | ||
<td><br /> | <td>(2*29)/(3*19)<br /> | ||
</td> | </td> | ||
<td><br /> | <td>29<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 824: | Line 824: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td><a class="wiki_link" href="/59_58">59/58</a><br /> | ||
</td> | </td> | ||
<td><br /> | <td>29.594<br /> | ||
</td> | </td> | ||
<td><br /> | <td>59/(2*29)<br /> | ||
</td> | </td> | ||
<td><br /> | <td>59<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 836: | Line 836: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td><a class="wiki_link" href="/60_59">60/59</a><br /> | ||
</td> | </td> | ||
<td><br /> | <td>29.097<br /> | ||
</td> | </td> | ||
<td><br /> | <td>(2<span style="vertical-align: super;">2</span>*3*5)/59<br /> | ||
</td> | </td> | ||
<td><br /> | <td>59<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 848: | Line 848: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td><a class="wiki_link" href="/61_60">61/60</a><br /> | ||
</td> | </td> | ||
<td><br /> | <td>28.616<br /> | ||
</td> | </td> | ||
<td><br /> | <td>61/(2<span style="vertical-align: super;">2</span>*3*5)<br /> | ||
</td> | </td> | ||
<td><br /> | <td>61<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
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</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td><a class="wiki_link" href="/62_61">62/61</a><br /> | ||
</td> | </td> | ||
<td><br /> | <td>28.151<br /> | ||
</td> | </td> | ||
<td><br /> | <td>(2*31)/61<br /> | ||
</td> | </td> | ||
<td><br /> | <td>61<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 872: | Line 872: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td><a class="wiki_link" href="/63_62">63/62</a><br /> | ||
</td> | </td> | ||
<td><br /> | <td>27.700<br /> | ||
</td> | </td> | ||
<td><br /> | <td>(3<span style="vertical-align: super;">2</span>*7)/(2*31)<br /> | ||
</td> | </td> | ||
<td><br /> | <td>31<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 884: | Line 884: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td><a class="wiki_link" href="/64_63">64/63</a><br /> | ||
</td> | </td> | ||
<td><br /> | <td>27.264<br /> | ||
</td> | </td> | ||
<td><br /> | <td>2<span style="vertical-align: super;">6</span>/(3<span style="vertical-align: super;">2</span>*7)<br /> | ||
</td> | </td> | ||
<td><br /> | <td>7<br /> | ||
</td> | </td> | ||
<td><br /> | <td>septimal comma, Archytas' comma<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td><a class="wiki_link" href="/65_64">65/64</a><br /> | ||
</td> | </td> | ||
<td><br /> | <td>26.841<br /> | ||
</td> | </td> | ||
<td><br /> | <td>(5*13)/2<span style="vertical-align: super;">6</span><br /> | ||
</td> | </td> | ||
<td><br /> | <td>13<br /> | ||
</td> | </td> | ||
<td><br /> | <td>13th-partial chroma<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td><a class="wiki_link" href="/66_65">66/65</a><br /> | ||
</td> | </td> | ||
<td><br /> | <td>26.432<br /> | ||
</td> | </td> | ||
<td><br /> | <td>(2*3*11)/(5*13)<br /> | ||
</td> | </td> | ||
<td><br /> | <td>13<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 920: | Line 920: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td><a class="wiki_link" href="/67_66">67/66</a><br /> | ||
</td> | </td> | ||
<td><br /> | <td>26.034<br /> | ||
</td> | </td> | ||
<td><br /> | <td>67/(2*3*11)<br /> | ||
</td> | </td> | ||
<td><br /> | <td>67<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 932: | Line 932: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td><a class="wiki_link" href="/68_67">68/67</a><br /> | ||
</td> | </td> | ||
<td><br /> | <td>25.648<br /> | ||
</td> | </td> | ||
<td><br /> | <td>(2<span style="vertical-align: super;">2</span>*17)/67<br /> | ||
</td> | </td> | ||
<td><br /> | <td>67<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 944: | Line 944: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td><a class="wiki_link" href="/69_68">69/68</a><br /> | ||
</td> | </td> | ||
<td><br /> | <td>25.274<br /> | ||
</td> | </td> | ||
<td><br /> | <td>(3*23)/(2<span style="vertical-align: super;">2</span>*17)<br /> | ||
</td> | </td> | ||
<td><br /> | <td>23<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 956: | Line 956: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td><a class="wiki_link" href="/70_69">70/69</a><br /> | ||
</td> | </td> | ||
<td><br /> | <td>24.910<br /> | ||
</td> | </td> | ||
<td><br /> | <td>(2*5*7)/(3*23)<br /> | ||
</td> | </td> | ||
<td><br /> | <td>23<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 968: | Line 968: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td><a class="wiki_link" href="/71_70">71/70</a><br /> | ||
</td> | </td> | ||
<td><br /> | <td>24.557<br /> | ||
</td> | </td> | ||
<td><br /> | <td>71/(2*5*7)<br /> | ||
</td> | </td> | ||
<td><br /> | <td>71<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 980: | Line 980: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td><a class="wiki_link" href="/72_71">72/71</a><br /> | ||
</td> | </td> | ||
<td><br /> | <td>24.213<br /> | ||
</td> | </td> | ||
<td><br /> | <td>(2<span style="vertical-align: super;">3</span>*3<span style="vertical-align: super;">2</span>)/71<br /> | ||
</td> | </td> | ||
<td><br /> | <td>71<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 992: | Line 992: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td><a class="wiki_link" href="/73_72">73/72</a><br /> | ||
</td> | </td> | ||
<td><br /> | <td>23.879<br /> | ||
</td> | </td> | ||
<td><br /> | <td>73/(2<span style="vertical-align: super;">3</span>*3<span style="vertical-align: super;">2</span>)<br /> | ||
</td> | </td> | ||
<td><br /> | <td>73<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,004: | Line 1,004: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td><a class="wiki_link" href="/74_73">74/73</a><br /> | ||
</td> | </td> | ||
<td><br /> | <td>23.555<br /> | ||
</td> | </td> | ||
<td><br /> | <td>(2*37)/73<br /> | ||
</td> | </td> | ||
<td><br /> | <td>73<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||