11-limit
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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]] [[http://sonic-arts.org/hill/10-passages-ji/10-passages-ji.htm|Brief 11-ratio composition]] [[http://sonic-arts.org/hill/10-passages-ji/09_hill_brief-11-ratio-composition.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><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</body></html>