List of superparticular intervals: Difference between revisions
Wikispaces>Andrew_Heathwaite **Imported revision 255045152 - Original comment: ** |
Wikispaces>Andrew_Heathwaite **Imported revision 255047254 - 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 11:06:14 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>255047254</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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|| [[7_6|7/6]] || 266.871 || 7/(2*3) || 7 || (septimal) subminor third, septimal minor third, augmented second || | || [[7_6|7/6]] || 266.871 || 7/(2*3) || 7 || (septimal) subminor third, septimal minor third, augmented second || | ||
|| [[8_7|8/7]] || 231.174 || 2<span style="vertical-align: super;">3</span>/7 || 7 || (septimal) supermajor second, septimal whole tone, diminished third, 7th subharmonic || | || [[8_7|8/7]] || 231.174 || 2<span style="vertical-align: super;">3</span>/7 || 7 || (septimal) supermajor second, septimal whole tone, diminished third, 7th subharmonic || | ||
|| | || [[9_8|9/8]] || 203.910 || 3<span style="vertical-align: super;">2</span>/2<span style="vertical-align: super;">3</span> || 3 || (Pythagorean) (whole) tone, Pythagorean major second, major whole tone, 9th harmonic or harmonic ninth (octave reduced) || | ||
|| | || [[10_9|10/9]] || 182.404 || (2*5)/3<span style="vertical-align: super;">2</span> || 5 || classic (whole) tone, classic major second, minor whole tone || | ||
|| | || [[11_10|11/10]] || 165.004 || 11/(2*5) || 11 || (large) (undecimal) neutral second, 4/5-tone, Ptolemy's second || | ||
|| | || [[12_11|12/11]] || 150.637 || (2<span style="vertical-align: super;">2</span>*3)/11 || 11 || (small) (undecimal) neutral second, 3/4-tone || | ||
|| | || [[13_12|13/12]] || 138.573 || 13/(2<span style="vertical-align: super;">2</span>*3) || 13 || tridecimal 2/3-tone || | ||
|| | || [[14_13|14/13]] || 128.298 || (2*7)/13 || 13 || 2/3-tone, trienthird || | ||
|| | || [[15_14|15/14]] || 119.443 || (3*5)/(2*7) || 7 || septimal diatonic semitone || | ||
|| | || [[16_15|16/15]] || 111.713 || 2<span style="vertical-align: super;">4</span>/(3*5) || 5 || minor diatonic semitone || | ||
|| || || || || || | || || || || || || | ||
|| || || || || || | || || || || || || | ||
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</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td><a class="wiki_link" href="/9_8">9/8</a><br /> | ||
</td> | </td> | ||
<td><br /> | <td>203.910<br /> | ||
</td> | </td> | ||
<td><br /> | <td>3<span style="vertical-align: super;">2</span>/2<span style="vertical-align: super;">3</span><br /> | ||
</td> | </td> | ||
<td><br /> | <td>3<br /> | ||
</td> | </td> | ||
<td><br /> | <td>(Pythagorean) (whole) tone, Pythagorean major second, major whole tone, 9th harmonic or harmonic ninth (octave reduced)<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td><a class="wiki_link" href="/10_9">10/9</a><br /> | ||
</td> | </td> | ||
<td><br /> | <td>182.404<br /> | ||
</td> | </td> | ||
<td><br /> | <td>(2*5)/3<span style="vertical-align: super;">2</span><br /> | ||
</td> | </td> | ||
<td><br /> | <td>5<br /> | ||
</td> | </td> | ||
<td><br /> | <td>classic (whole) tone, classic major second, minor whole tone<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td><a class="wiki_link" href="/11_10">11/10</a><br /> | ||
</td> | </td> | ||
<td><br /> | <td>165.004<br /> | ||
</td> | </td> | ||
<td><br /> | <td>11/(2*5)<br /> | ||
</td> | </td> | ||
<td><br /> | <td>11<br /> | ||
</td> | </td> | ||
<td><br /> | <td>(large) (undecimal) neutral second, 4/5-tone, Ptolemy's second<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td><a class="wiki_link" href="/12_11">12/11</a><br /> | ||
</td> | </td> | ||
<td><br /> | <td>150.637<br /> | ||
</td> | </td> | ||
<td><br /> | <td>(2<span style="vertical-align: super;">2</span>*3)/11<br /> | ||
</td> | </td> | ||
<td><br /> | <td>11<br /> | ||
</td> | </td> | ||
<td><br /> | <td>(small) (undecimal) neutral second, 3/4-tone<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td><a class="wiki_link" href="/13_12">13/12</a><br /> | ||
</td> | </td> | ||
<td><br /> | <td>138.573<br /> | ||
</td> | </td> | ||
<td><br /> | <td>13/(2<span style="vertical-align: super;">2</span>*3)<br /> | ||
</td> | </td> | ||
<td><br /> | <td>13<br /> | ||
</td> | </td> | ||
<td><br /> | <td>tridecimal 2/3-tone<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td><a class="wiki_link" href="/14_13">14/13</a><br /> | ||
</td> | </td> | ||
<td><br /> | <td>128.298<br /> | ||
</td> | </td> | ||
<td><br /> | <td>(2*7)/13<br /> | ||
</td> | </td> | ||
<td><br /> | <td>13<br /> | ||
</td> | </td> | ||
<td><br /> | <td>2/3-tone, trienthird<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td><a class="wiki_link" href="/15_14">15/14</a><br /> | ||
</td> | </td> | ||
<td><br /> | <td>119.443<br /> | ||
</td> | </td> | ||
<td><br /> | <td>(3*5)/(2*7)<br /> | ||
</td> | </td> | ||
<td><br /> | <td>7<br /> | ||
</td> | </td> | ||
<td><br /> | <td>septimal diatonic semitone<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td><a class="wiki_link" href="/16_15">16/15</a><br /> | ||
</td> | </td> | ||
<td><br /> | <td>111.713<br /> | ||
</td> | </td> | ||
<td><br /> | <td>2<span style="vertical-align: super;">4</span>/(3*5)<br /> | ||
</td> | </td> | ||
<td><br /> | <td>5<br /> | ||
</td> | </td> | ||
<td><br /> | <td>minor diatonic semitone<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||