11-limit: Difference between revisions
Wikispaces>Andrew_Heathwaite **Imported revision 254162614 - Original comment: ** |
Wikispaces>Andrew_Heathwaite **Imported revision 262980320 - 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>2011-10-09 12:15:26 UTC</tt>.<br> | ||
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Relative to their size, [[edo]]s which do (relatively) well in supporting 11-limit intervals are: [[12edo]], [[15edo]], [[22edo]], [[31edo]], [[41edo]], [[46edo]], [[58edo]], [[72edo]], [[118edo]], [[130edo]] and [[152edo]]. | Relative to their size, [[edo]]s which do (relatively) well in supporting 11-limit intervals are: [[12edo]], [[15edo]], [[22edo]], [[31edo]], [[41edo]], [[46edo]], [[58edo]], [[72edo]], [[118edo]], [[130edo]] and [[152edo]]. | ||
==Intervals== | |||
Some of the simplest intervals of 11 include: | |||
|| Interval || Cents Value || | |||
|| [[12_11|12/11]] || 150.637 || | |||
|| [[11_10|11/10]] || 165.004 || | |||
|| [[11_9|11/9]] || 347.408 || | |||
|| [[14_11|14/11]] || 417.508 || | |||
|| [[15_11|15/11]] || 536.951 || | |||
|| [[11_8|11/8]] || 551.318 || | |||
|| [[16_11|16/11]] || 648.682 || | |||
|| [[22_15|22/15]] || 663.049 || | |||
|| [[11_7|11/7]] || 782.492 || | |||
|| [[18_11|18/11]] || 852.592 || | |||
|| [[20_11|20/11]] || 1034.996 || | |||
|| [[11_6|11/6]] || 1049.363 || | |||
See: [[Gallery of Just Intervals]] | |||
=Music= | =Music= | ||
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Relative to their size, <a class="wiki_link" href="/edo">edo</a>s which do (relatively) well in supporting 11-limit intervals are: <a class="wiki_link" href="/12edo">12edo</a>, <a class="wiki_link" href="/15edo">15edo</a>, <a class="wiki_link" href="/22edo">22edo</a>, <a class="wiki_link" href="/31edo">31edo</a>, <a class="wiki_link" href="/41edo">41edo</a>, <a class="wiki_link" href="/46edo">46edo</a>, <a class="wiki_link" href="/58edo">58edo</a>, <a class="wiki_link" href="/72edo">72edo</a>, <a class="wiki_link" href="/118edo">118edo</a>, <a class="wiki_link" href="/130edo">130edo</a> and <a class="wiki_link" href="/152edo">152edo</a>.<br /> | Relative to their size, <a class="wiki_link" href="/edo">edo</a>s which do (relatively) well in supporting 11-limit intervals are: <a class="wiki_link" href="/12edo">12edo</a>, <a class="wiki_link" href="/15edo">15edo</a>, <a class="wiki_link" href="/22edo">22edo</a>, <a class="wiki_link" href="/31edo">31edo</a>, <a class="wiki_link" href="/41edo">41edo</a>, <a class="wiki_link" href="/46edo">46edo</a>, <a class="wiki_link" href="/58edo">58edo</a>, <a class="wiki_link" href="/72edo">72edo</a>, <a class="wiki_link" href="/118edo">118edo</a>, <a class="wiki_link" href="/130edo">130edo</a> and <a class="wiki_link" href="/152edo">152edo</a>.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id=" | <!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-Intervals"></a><!-- ws:end:WikiTextHeadingRule:0 -->Intervals</h2> | ||
Some of the simplest intervals of 11 include:<br /> | |||
<br /> | |||
<table class="wiki_table"> | |||
<tr> | |||
<td>Interval<br /> | |||
</td> | |||
<td>Cents Value<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><a class="wiki_link" href="/12_11">12/11</a><br /> | |||
</td> | |||
<td>150.637<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><a class="wiki_link" href="/11_10">11/10</a><br /> | |||
</td> | |||
<td>165.004<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><a class="wiki_link" href="/11_9">11/9</a><br /> | |||
</td> | |||
<td>347.408<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><a class="wiki_link" href="/14_11">14/11</a><br /> | |||
</td> | |||
<td>417.508<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><a class="wiki_link" href="/15_11">15/11</a><br /> | |||
</td> | |||
<td>536.951<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><a class="wiki_link" href="/11_8">11/8</a><br /> | |||
</td> | |||
<td>551.318<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><a class="wiki_link" href="/16_11">16/11</a><br /> | |||
</td> | |||
<td>648.682<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><a class="wiki_link" href="/22_15">22/15</a><br /> | |||
</td> | |||
<td>663.049<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><a class="wiki_link" href="/11_7">11/7</a><br /> | |||
</td> | |||
<td>782.492<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><a class="wiki_link" href="/18_11">18/11</a><br /> | |||
</td> | |||
<td>852.592<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><a class="wiki_link" href="/20_11">20/11</a><br /> | |||
</td> | |||
<td>1034.996<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><a class="wiki_link" href="/11_6">11/6</a><br /> | |||
</td> | |||
<td>1049.363<br /> | |||
</td> | |||
</tr> | |||
</table> | |||
See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a><br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Music"></a><!-- ws:end:WikiTextHeadingRule:2 -->Music</h1> | |||
<a class="wiki_link_ext" href="http://sonic-arts.org/hill/10-passages-ji/10-passages-ji.htm" rel="nofollow">Study #3</a> <a class="wiki_link_ext" href="http://sonic-arts.org/hill/10-passages-ji/04_hill_study-3.mp3" rel="nofollow">play</a> by <a class="wiki_link" href="/Dave%20Hill">Dave Hill</a><br /> | <a class="wiki_link_ext" href="http://sonic-arts.org/hill/10-passages-ji/10-passages-ji.htm" rel="nofollow">Study #3</a> <a class="wiki_link_ext" href="http://sonic-arts.org/hill/10-passages-ji/04_hill_study-3.mp3" rel="nofollow">play</a> by <a class="wiki_link" href="/Dave%20Hill">Dave Hill</a><br /> | ||
<a class="wiki_link_ext" href="http://sonic-arts.org/hill/10-passages-ji/10-passages-ji.htm" rel="nofollow">Brief 11-ratio composition</a> <a class="wiki_link_ext" href="http://sonic-arts.org/hill/10-passages-ji/09_hill_brief-11-ratio-composition.mp3" rel="nofollow">play</a> by Dave Hill<br /> | <a class="wiki_link_ext" href="http://sonic-arts.org/hill/10-passages-ji/10-passages-ji.htm" rel="nofollow">Brief 11-ratio composition</a> <a class="wiki_link_ext" href="http://sonic-arts.org/hill/10-passages-ji/09_hill_brief-11-ratio-composition.mp3" rel="nofollow">play</a> by Dave Hill<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="See also"></a><!-- ws:end:WikiTextHeadingRule:4 -->See also</h1> | ||
<a class="wiki_link" href="/Harmonic%20Limit">Harmonic Limit</a></body></html></pre></div> | <a class="wiki_link" href="/Harmonic%20Limit">Harmonic Limit</a></body></html></pre></div> | ||