List of superparticular intervals: Difference between revisions
Wikispaces>Andrew_Heathwaite **Imported revision 255078792 - Original comment: ** |
Wikispaces>Andrew_Heathwaite **Imported revision 256304176 - 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- | : This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2011-09-20 19:06:08 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>256304176</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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|| [[73_72|73/72]] || 23.879 || 73/(2<span style="vertical-align: super;">3</span>*3<span style="vertical-align: super;">2</span>) || 73 || || | || [[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 || || | || [[74_73|74/73]] || 23.555 || (2*37)/73 || 73 || || | ||
|| | || [[75_74|75/74]] || 23.238 || (3*5<span style="vertical-align: super;">2</span>)/(2*37) || 37 || || | ||
|| | || [[76_75|76/75]] || 22.931 || (2<span style="vertical-align: super;">2</span>*19)/(3*5<span style="vertical-align: super;">2</span>) || 19 || || | ||
|| | || [[77_76|77/76]] || 22.631 || (7*11)/(2<span style="vertical-align: super;">2</span>*19) || 19 || || | ||
|| | || [[78_77|78/77]] || 22.339 || (2*3*13)/(7*11) || 13 || || | ||
|| | || [[79_78|79/78]] || 22.054 || 79/(2*3*13) || 79 || || | ||
|| | || [[80_79|80/79]] || 21.777 || (2<span style="vertical-align: super;">4</span>*5)/79 || 79 || || | ||
|| | || [[81_80|81/80]] || 21.506 || 3<span style="vertical-align: super;">4</span>/(2<span style="vertical-align: super;">4</span>*5) || 5 || syntonic comma, Didymus comma || | ||
|| | || [[82_81|82/81]] || 21.242 || (2*41)/3<span style="vertical-align: super;">4</span> || 41 || || | ||
|| | || [[83_82|83/82]] || 20.985 || 83/(2*41) || 83 || || | ||
|| | || [[84_83|84/83]] || 20.734 || (2<span style="vertical-align: super;">2</span>*3*7)/83 || 83 || || | ||
|| | || [[85_84|85/84]] || 20.488 || (5*17)/(2<span style="vertical-align: super;">2</span>*3) || 17 || || | ||
|| | || [[86_85|86/85]] || 20.249 || (2*43)/(5*17) || 43 || || | ||
|| | || [[87_86|87/86]] || 20.014 || (3*29)/(2*43) || 43 || || | ||
|| | || [[88_87|88/87]] || 19.786 || (2<span style="vertical-align: super;">3</span>*11)/(3*29) || 29 || || | ||
|| | || [[89_88|89/88]] || 19.562 || 89/(2<span style="vertical-align: super;">3</span>*11) || 89 || || | ||
|| || || || || || | || || || || || || | ||
|| || || || || || | || || || || || || | ||
| Line 1,016: | Line 1,016: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td><a class="wiki_link" href="/75_74">75/74</a><br /> | ||
</td> | </td> | ||
<td><br /> | <td>23.238<br /> | ||
</td> | </td> | ||
<td><br /> | <td>(3*5<span style="vertical-align: super;">2</span>)/(2*37)<br /> | ||
</td> | </td> | ||
<td><br /> | <td>37<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,028: | Line 1,028: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td><a class="wiki_link" href="/76_75">76/75</a><br /> | ||
</td> | </td> | ||
<td><br /> | <td>22.931<br /> | ||
</td> | </td> | ||
<td><br /> | <td>(2<span style="vertical-align: super;">2</span>*19)/(3*5<span style="vertical-align: super;">2</span>)<br /> | ||
</td> | </td> | ||
<td><br /> | <td>19<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,040: | Line 1,040: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td><a class="wiki_link" href="/77_76">77/76</a><br /> | ||
</td> | </td> | ||
<td><br /> | <td>22.631<br /> | ||
</td> | </td> | ||
<td><br /> | <td>(7*11)/(2<span style="vertical-align: super;">2</span>*19)<br /> | ||
</td> | </td> | ||
<td><br /> | <td>19<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,052: | Line 1,052: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td><a class="wiki_link" href="/78_77">78/77</a><br /> | ||
</td> | </td> | ||
<td><br /> | <td>22.339<br /> | ||
</td> | </td> | ||
<td><br /> | <td>(2*3*13)/(7*11)<br /> | ||
</td> | </td> | ||
<td><br /> | <td>13<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,064: | Line 1,064: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td><a class="wiki_link" href="/79_78">79/78</a><br /> | ||
</td> | </td> | ||
<td><br /> | <td>22.054<br /> | ||
</td> | </td> | ||
<td><br /> | <td>79/(2*3*13)<br /> | ||
</td> | </td> | ||
<td><br /> | <td>79<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,076: | Line 1,076: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td><a class="wiki_link" href="/80_79">80/79</a><br /> | ||
</td> | </td> | ||
<td><br /> | <td>21.777<br /> | ||
</td> | </td> | ||
<td><br /> | <td>(2<span style="vertical-align: super;">4</span>*5)/79<br /> | ||
</td> | </td> | ||
<td><br /> | <td>79<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,088: | Line 1,088: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td><a class="wiki_link" href="/81_80">81/80</a><br /> | ||
</td> | </td> | ||
<td><br /> | <td>21.506<br /> | ||
</td> | </td> | ||
<td><br /> | <td>3<span style="vertical-align: super;">4</span>/(2<span style="vertical-align: super;">4</span>*5)<br /> | ||
</td> | </td> | ||
<td><br /> | <td>5<br /> | ||
</td> | </td> | ||
<td><br /> | <td>syntonic comma, Didymus comma<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td><a class="wiki_link" href="/82_81">82/81</a><br /> | ||
</td> | </td> | ||
<td><br /> | <td>21.242<br /> | ||
</td> | </td> | ||
<td><br /> | <td>(2*41)/3<span style="vertical-align: super;">4</span><br /> | ||
</td> | </td> | ||
<td><br /> | <td>41<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,112: | Line 1,112: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td><a class="wiki_link" href="/83_82">83/82</a><br /> | ||
</td> | </td> | ||
<td><br /> | <td>20.985<br /> | ||
</td> | </td> | ||
<td><br /> | <td>83/(2*41)<br /> | ||
</td> | </td> | ||
<td><br /> | <td>83<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,124: | Line 1,124: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td><a class="wiki_link" href="/84_83">84/83</a><br /> | ||
</td> | </td> | ||
<td><br /> | <td>20.734<br /> | ||
</td> | </td> | ||
<td><br /> | <td>(2<span style="vertical-align: super;">2</span>*3*7)/83<br /> | ||
</td> | </td> | ||
<td><br /> | <td>83<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,136: | Line 1,136: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td><a class="wiki_link" href="/85_84">85/84</a><br /> | ||
</td> | </td> | ||
<td><br /> | <td>20.488<br /> | ||
</td> | </td> | ||
<td><br /> | <td>(5*17)/(2<span style="vertical-align: super;">2</span>*3)<br /> | ||
</td> | </td> | ||
<td><br /> | <td>17<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,148: | Line 1,148: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td><a class="wiki_link" href="/86_85">86/85</a><br /> | ||
</td> | </td> | ||
<td><br /> | <td>20.249<br /> | ||
</td> | </td> | ||
<td><br /> | <td>(2*43)/(5*17)<br /> | ||
</td> | </td> | ||
<td><br /> | <td>43<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,160: | Line 1,160: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td><a class="wiki_link" href="/87_86">87/86</a><br /> | ||
</td> | </td> | ||
<td><br /> | <td>20.014<br /> | ||
</td> | </td> | ||
<td><br /> | <td>(3*29)/(2*43)<br /> | ||
</td> | </td> | ||
<td><br /> | <td>43<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,172: | Line 1,172: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td><a class="wiki_link" href="/88_87">88/87</a><br /> | ||
</td> | </td> | ||
<td><br /> | <td>19.786<br /> | ||
</td> | </td> | ||
<td><br /> | <td>(2<span style="vertical-align: super;">3</span>*11)/(3*29)<br /> | ||
</td> | </td> | ||
<td><br /> | <td>29<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,184: | Line 1,184: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td><a class="wiki_link" href="/89_88">89/88</a><br /> | ||
</td> | </td> | ||
<td><br /> | <td>19.562<br /> | ||
</td> | </td> | ||
<td><br /> | <td>89/(2<span style="vertical-align: super;">3</span>*11)<br /> | ||
</td> | </td> | ||
<td><br /> | <td>89<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||