Porcupine intervals: Difference between revisions
Wikispaces>guest **Imported revision 286962802 - Original comment: ** |
Wikispaces>phylingual **Imported revision 351337216 - 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:phylingual|phylingual]] and made on <tt>2012-07-07 20:47:23 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>351337216</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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||||||||~ Unisons || | ||||||||~ Unisons || | ||
|| Perfect unison (P1) || 0 || 1/1 || || | || Perfect unison (P1) || 0 || 1/1 || || | ||
|| Augmented unison (A1) || 61.1 || 81/80~36/35~33/32~25/24 || And other ratios, of course || | || Augmented unison (A1) || 61.1 || 81/80~36/35~33/32~25/24 || [[Cluster temperament#porcupine(fish)|And other ratios, of course]] || | ||
||||||||~ Seconds || | ||||||||~ Seconds || | ||
|| Diminished second (d2) || 101.6 || 21/20~16/15 || || | || Diminished second (d2) || 101.6 || 21/20~16/15 || || | ||
|| Minor second (m2) || 162.7 || 12/11~11/10~10/9 || || | || Minor second (m2) || 162.7 || 12/11~11/10~10/9 || || | ||
|| Major second (M2) || 223.8 || 9/8~8/7 || || | || Major second (M2) || 223.8 || 9/8~8/7 || || | ||
|| Augmented second (A2) || 284.9 || Close to 13/11 || | || Augmented second (A2) || 284.9 || Close to 13/11 || Also "subminor third" || | ||
||||||||~ Thirds || | ||||||||~ Thirds || | ||
|| Diminished third (d3) || 264.3 || 7/6 || | || Diminished third (d3) || 264.3 || 7/6 || Also "supermajor second" || | ||
|| Minor third (m3) || 325.4 || 6/5~11/9 || Coincidentally familiar || | || Minor third (m3) || 325.4 || 6/5~11/9 || Coincidentally familiar || | ||
|| Major third (M3) || 386.5 || 5/4 || Coincidentally familiar || | || Major third (M3) || 386.5 || 5/4 || Coincidentally familiar || | ||
|| Augmented third (A3) || 447.6 || 9/7 || | || Augmented third (A3) || 447.6 || 9/7 (close to 13/10) || Also "subminor fourth" || | ||
||||||||~ Fourths || | ||||||||~ Fourths || | ||
|| Diminished fourth (d4) || 427.0 || 14/11 || | || Diminished fourth (d4) || 427.0 || 14/11 || Also "supermajor third" || | ||
|| Minor fourth (m4) || 488.1 || 4/3 || Rather than "perfect fourth" || | || Minor fourth (m4) || 488.1 || 4/3 || Rather than "perfect fourth" || | ||
|| Major fourth (M4) || 549.2 || 11/8 || || | || Major fourth (M4) || 549.2 || 11/8 || || | ||
|| Augmented fourth (A4) || 610.3 || 10/7 || | || Augmented fourth (A4) || 610.3 || 10/7 || Also "subminor fifth" || | ||
||||||||~ Fifths || | ||||||||~ Fifths || | ||
|| Diminished fifth (d5) || 589.7 || 7/5 || | || Diminished fifth (d5) || 589.7 || 7/5 || Also "supermajor fourth" || | ||
|| Minor fifth (m5) || 650.8 || 16/11 || || | || Minor fifth (m5) || 650.8 || 16/11 || || | ||
|| Major fifth (M5) || 711.9 || 3/2 || Rather than "perfect fifth" || | || Major fifth (M5) || 711.9 || 3/2 || Rather than "perfect fifth" || | ||
|| Augmented fifth (A5) || 773.0 || 11/7 || | || Augmented fifth (A5) || 773.0 || 11/7 || Also "subminor sixth" || | ||
||||||||~ Sixths || | ||||||||~ Sixths || | ||
|| Diminished sixth (d6) || 752.4 || 14/9 || | || Diminished sixth (d6) || 752.4 || 14/9 (close to 20/13) || Also "supermajor fifth" || | ||
|| Minor sixth (m6) || 813.5 || 8/5 || Coincidentally familiar || | || Minor sixth (m6) || 813.5 || 8/5 || Coincidentally familiar || | ||
|| Major sixth (M6) || 874.6 || 5/3 || Coincidentally familiar || | || Major sixth (M6) || 874.6 || 5/3 || Coincidentally familiar || | ||
|| Augmented sixth (A6) || 935.7 || 12/7 || | || Augmented sixth (A6) || 935.7 || 12/7 || Also "subminor seventh" || | ||
||||||||~ Sevenths || | ||||||||~ Sevenths || | ||
|| Diminished seventh (d7) || 915.1 || Close to 22/13 || | || Diminished seventh (d7) || 915.1 || Close to 22/13 || Also "supermajor sixth" || | ||
|| Minor seventh (m7) || 976.2 || 7/4~16/9 || || | || Minor seventh (m7) || 976.2 || 7/4~16/9 || || | ||
|| Major seventh (M7) || 1037.3 || 9/5~11/6 || || | || Major seventh (M7) || 1037.3 || 9/5~11/6 || || | ||
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<td>81/80~36/35~33/32~25/24<br /> | <td>81/80~36/35~33/32~25/24<br /> | ||
</td> | </td> | ||
<td>And other ratios, of course<br /> | <td><a class="wiki_link" href="/Cluster%20temperament#porcupine(fish)">And other ratios, of course</a><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td>Close to 13/11<br /> | <td>Close to 13/11<br /> | ||
</td> | </td> | ||
<td><br /> | <td>Also &quot;subminor third&quot;<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td>7/6<br /> | <td>7/6<br /> | ||
</td> | </td> | ||
<td><br /> | <td>Also &quot;supermajor second&quot;<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td>447.6<br /> | <td>447.6<br /> | ||
</td> | </td> | ||
<td>9/7<br /> | <td>9/7 (close to 13/10)<br /> | ||
</td> | </td> | ||
<td><br /> | <td>Also &quot;subminor fourth&quot;<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td>14/11<br /> | <td>14/11<br /> | ||
</td> | </td> | ||
<td><br /> | <td>Also &quot;supermajor third&quot;<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td>10/7<br /> | <td>10/7<br /> | ||
</td> | </td> | ||
<td><br /> | <td>Also &quot;subminor fifth&quot;<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td>7/5<br /> | <td>7/5<br /> | ||
</td> | </td> | ||
<td><br /> | <td>Also &quot;supermajor fourth&quot;<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td>11/7<br /> | <td>11/7<br /> | ||
</td> | </td> | ||
<td><br /> | <td>Also &quot;subminor sixth&quot;<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td>752.4<br /> | <td>752.4<br /> | ||
</td> | </td> | ||
<td>14/9<br /> | <td>14/9 (close to 20/13)<br /> | ||
</td> | </td> | ||
<td><br /> | <td>Also &quot;supermajor fifth&quot;<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td>12/7<br /> | <td>12/7<br /> | ||
</td> | </td> | ||
<td><br /> | <td>Also &quot;subminor seventh&quot;<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td>Close to 22/13<br /> | <td>Close to 22/13<br /> | ||
</td> | </td> | ||
<td><br /> | <td>Also &quot;supermajor sixth&quot;<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||