11-limit: Difference between revisions
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Wikispaces>genewardsmith **Imported revision 232431954 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 236661058 - 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:genewardsmith|genewardsmith]] and made on <tt>2011- | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-06-14 16:33:46 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>236661058</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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See [[Harmonic Limit]]. | See [[Harmonic Limit]]. | ||
=Music= | |||
[[http://sonic-arts.org/hill/10-passages-ji/10-passages-ji.htm|Study #3]] [[http://sonic-arts.org/hill/10-passages-ji/04_hill_study-3.mp3|play]] by [[Dave Hill]] | |||
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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 /> | ||
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See <a class="wiki_link" href="/Harmonic%20Limit">Harmonic Limit</a>.</body></html></pre></div> | See <a class="wiki_link" href="/Harmonic%20Limit">Harmonic Limit</a>.<br /> | ||
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<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Music"></a><!-- ws:end:WikiTextHeadingRule:0 -->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></body></html></pre></div> | |||
Revision as of 16:33, 14 June 2011
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author genewardsmith and made on 2011-06-14 16:33:46 UTC.
- The original revision id was 236661058.
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The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
The //11-limit// consists of all [[JustIntonation|justly tuned]] intervals whose numerators and denominators are both products of the primes 2, 3, 5, 7 and 11. Some examples of 11-limit intervals are [[14_11|14/11]], [[11_8|11/8]], [[27_22|27/22]] and [[99_98|99/98]]. The 11 odd-limit consists of intervals whose numerators and denominators, when all factors of two have been removed, are less than or equal to 11. Reduced to an octave, these are the ratios 1/1, 12/11, 11/10, 10/9, 9/8, 8/7, 7/6, 6/5, 11/9, 5/4, 14/11, 9/7, 4/3, 11/8, 7/5, 10/7, 16/11, 3/2, 14/9, 11/7, 8/5, 18/11, 5/3, 12/7, 7/4, 16/9, 9/5, 20/11, 11/6, 2/1. 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]]. See [[Harmonic Limit]]. =Music= [[http://sonic-arts.org/hill/10-passages-ji/10-passages-ji.htm|Study #3]] [[http://sonic-arts.org/hill/10-passages-ji/04_hill_study-3.mp3|play]] by [[Dave Hill]]
Original HTML content:
<html><head><title>11-limit</title></head><body>The <em>11-limit</em> consists of all <a class="wiki_link" href="/JustIntonation">justly tuned</a> intervals whose numerators and denominators are both products of the primes 2, 3, 5, 7 and 11. Some examples of 11-limit intervals are <a class="wiki_link" href="/14_11">14/11</a>, <a class="wiki_link" href="/11_8">11/8</a>, <a class="wiki_link" href="/27_22">27/22</a> and <a class="wiki_link" href="/99_98">99/98</a>. The 11 odd-limit consists of intervals whose numerators and denominators, when all factors of two have been removed, are less than or equal to 11. Reduced to an octave, these are the ratios 1/1, 12/11, 11/10, 10/9, 9/8, 8/7, 7/6, 6/5, 11/9, 5/4, 14/11, 9/7, 4/3, 11/8, 7/5, 10/7, 16/11, 3/2, 14/9, 11/7, 8/5, 18/11, 5/3, 12/7, 7/4, 16/9, 9/5, 20/11, 11/6, 2/1.<br /> <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 /> See <a class="wiki_link" href="/Harmonic%20Limit">Harmonic Limit</a>.<br /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="Music"></a><!-- ws:end:WikiTextHeadingRule:0 -->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></body></html>