7-limit: Difference between revisions

Line 1:

<h2>IMPORTED REVISION FROM WIKISPACES</h2>

This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>

: This revision was by author [[User:~~xenwolf~~|~~xenwolf~~]] and made on <tt>2012-03-~~28 16~~:58:10 UTC</tt>.<br>

: This revision was by author [[User:guest|guest]] and made on <tt>2012-08-09 20:40:09 UTC</tt>.<br>

: The original revision id was <tt>~~315579168~~</tt>.<br>

: The original revision id was <tt>357112304</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>

Line 22:

[[http://www.archive.org/details/ClintonVariations|Clinton Variations]] [[http://www.archive.org/download/ClintonVariations/clinton.mp3|play]] by [[Gene Ward Smith]]

[[http://www.youtube.com/watch?v=HzQmaxDIxnc&feature=channel_video_title|Pachelbel's Canon in D in 7-limit JI]] [[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Meneghin/Pachelbel_s%20Canon%20in%20D%20-%20Relaxing%20music,%20with%20mountain%20views.mp3|play]]

[[http://clones.soonlabel.com/public/classical-music/mars-7-limit-kontakt5.mp3| Mars in 7-Limit JI]] from [[@http://en.wikipedia.org/wiki/The_Planets|The Planets]] the orchestral suite by Gustav Holst arranged by [[@Chris Vaisvil]]

=see also=

* [[Harmonic Limit]]

* [[http://en.wikipedia.org/wiki/7-limit|7-limit - Wikipedia]]

* [[http://en.wikipedia.org/wiki/Highly_composite_number|Highly composite number - Wikipedia]]

</pre></div>

[[media type="custom" key="20562700"]]</pre></div>

<h4>Original HTML content:</h4>

<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>7-limit</title></head><body>The <em>7-limit</em> or &quot;7 prime-limit&quot; refers to a constraint on rational intervals such that 7 is the highest allowable <a class="wiki_link" href="/prime%20number">prime number</a>, so that every such interval may be written as a ratio of integers which are products of 2, 3, 5 and 7. This is an infinite set and still infinite even if we restrict consideration to a single octave. Some examples within the octave include <a class="wiki_link" href="/9_7">9/7</a>, <a class="wiki_link" href="/14_9">14/9</a>, <a class="wiki_link" href="/15_14">15/14</a>, <a class="wiki_link" href="/28_15">28/15</a>, <a class="wiki_link" href="/21_16">21/16</a>, <a class="wiki_link" href="/32_21">32/21</a>, <a class="wiki_link" href="/25_14">25/14</a>, <a class="wiki_link" href="/28_25">28/25</a>, <a class="wiki_link" href="/25_21">25/21</a>, <a class="wiki_link" href="/42_25">42/25</a>, <a class="wiki_link" href="/28_27">28/27</a>, <a class="wiki_link" href="/27_14">27/14</a>, <a class="wiki_link" href="/35_28">35/28</a>, <a class="wiki_link" href="/56_35">56/35</a>, 45/28, 56/45, 49/32, 64/49, 49/36, 72/49, 49/30, 60/49, 49/25, 50/49, 49/27, 54/49, 49/35, 70/49, 49/45, 90/49.<br />

Line 39:

Line 43:

Relative to their size, the equal divisions <a class="wiki_link" href="/12edo">12edo</a>, <a class="wiki_link" href="/19edo">19edo</a>, <a class="wiki_link" href="/31edo">31edo</a>, <a class="wiki_link" href="/99edo">99edo</a> and <a class="wiki_link" href="/171edo">171edo</a> provide good approximations to the 7-limit, with <a class="wiki_link" href="/15edo">15edo</a>, <a class="wiki_link" href="/22edo">22edo</a>, <a class="wiki_link" href="/27edo">27edo</a>, <a class="wiki_link" href="/41edo">41edo</a>, <a class="wiki_link" href="/46edo">46edo</a>, <a class="wiki_link" href="/53edo">53edo</a>, <a class="wiki_link" href="/58edo">58edo</a>, <a class="wiki_link" href="/68edo">68edo</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>, <a class="wiki_link" href="/140edo">140edo</a> and <a class="wiki_link" href="/152edo">152edo</a> among the others worthy of notice.<br />

<br />

<h1 id="toc0"><a name="Music"></a>Music</h1>

<h1 id="toc0"><a name="Music"></a>Music</h1>

<a class="wiki_link_ext" href="http://micro.soonlabel.com/blue-tuning/blue-ji-excluded-by-peers.mp3" rel="nofollow">Excluded by Peers</a> by <a class="wiki_link" href="/Chris%20Vaisvil">Chris Vaisvil</a><br />

<a class="wiki_link_ext" href="http://micro.soonlabel.com/centaur_tuning/Prelude_For_Centaur_Tuned_Piano.mp3" rel="nofollow">Prelude for Centaur Tuned Piano</a> by Chris Vaisvil<br />

Line 45:

Line 49:

<a class="wiki_link_ext" href="http://www.archive.org/details/ClintonVariations" rel="nofollow">Clinton Variations</a> <a class="wiki_link_ext" href="http://www.archive.org/download/ClintonVariations/clinton.mp3" rel="nofollow">play</a> by <a class="wiki_link" href="/Gene%20Ward%20Smith">Gene Ward Smith</a><br />

<a class="wiki_link_ext" href="http://www.youtube.com/watch?v=HzQmaxDIxnc&amp;feature=channel_video_title" rel="nofollow">Pachelbel's Canon in D in 7-limit JI</a> <a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Meneghin/Pachelbel_s%20Canon%20in%20D%20-%20Relaxing%20music,%20with%20mountain%20views.mp3" rel="nofollow">play</a><br />

<a class="wiki_link_ext" href="http://clones.soonlabel.com/public/classical-music/mars-7-limit-kontakt5.mp3" rel="nofollow"> Mars in 7-Limit JI</a> from <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/The_Planets" rel="nofollow" target="_blank">The Planets</a> the orchestral suite by Gustav Holst arranged by <a class="wiki_link" href="/Chris%20Vaisvil" target="_blank">Chris Vaisvil</a><br />

<h1 id="toc1"><a name="see also"></a>see also</h1>

<ul><li><a class="wiki_link" href="/Harmonic%20Limit">Harmonic Limit</a></li><li><a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/7-limit" rel="nofollow">7-limit - Wikipedia</a></li><li><a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Highly_composite_number" rel="nofollow">Highly composite number - Wikipedia</a></li></ul><br />

<br />

~~&lt~~;~~h1 id~~=~~"toc1"~~>~~&lt~~;~~a name~~=~~"see also"~~>~~&lt~~;/a>~~&lt~~;~~!-- ws:end:WikiTextHeadingRule:2 --~~>~~see also&lt~~;~~/h1~~>

<script type="text/javascript" src="http://webplayer.yahooapis.com/player.js">

~~&lt~~;~~ul&gt~~;<~~li&gt~~;~~&lt~~;~~a class="wiki_link" href~~=~~"/Harmonic%20Limit"~~>~~Harmonic Limit&lt~~;~~/a&gt~~;<~~/li&gt~~;~~&lt~~;li>~~&lt~~;~~a class~~=~~"wiki_link_ext" href="http://en.wikipedia.org/wiki/7-limit" rel="nofollow"~~>~~7-limit - Wikipedia&lt~~;/a>~~&lt~~;/li>~~<li~~><~~a class~~="~~wiki_link_ext~~" ~~href~~="http://en.~~wikipedia~~.~~org~~/~~wiki/Highly_composite_number" rel="nofollow~~">~~Highly composite number - Wikipedia~~</a><~~/li></ul~~></body></html></pre></div>

</script></body></html></pre></div>

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
-: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2012-03-28 16:58:10 UTC</tt>.<br>
+: This revision was by author [[User:guest|guest]] and made on <tt>2012-08-09 20:40:09 UTC</tt>.<br>
-: The original revision id was <tt>315579168</tt>.<br>
+: The original revision id was <tt>357112304</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>
@@ Line 22: / Line 22: @@
 [[http://www.archive.org/details/ClintonVariations|Clinton Variations]] [[http://www.archive.org/download/ClintonVariations/clinton.mp3|play]] by [[Gene Ward Smith]]
 [[http://www.youtube.com/watch?v=HzQmaxDIxnc&amp;feature=channel_video_title|Pachelbel's Canon in D in 7-limit JI]] [[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Meneghin/Pachelbel_s%20Canon%20in%20D%20-%20Relaxing%20music,%20with%20mountain%20views.mp3|play]]
+[[http://clones.soonlabel.com/public/classical-music/mars-7-limit-kontakt5.mp3| Mars in 7-Limit JI]] from [[@http://en.wikipedia.org/wiki/The_Planets|The Planets]] the orchestral suite by Gustav Holst arranged by [[@Chris Vaisvil]]
 =see also=
 * [[Harmonic Limit]]
 * [[http://en.wikipedia.org/wiki/7-limit|7-limit - Wikipedia]]
 * [[http://en.wikipedia.org/wiki/Highly_composite_number|Highly composite number - Wikipedia]]
-</pre></div>
+[[media type="custom" key="20562700"]]</pre></div>
 <h4>Original HTML content:</h4>
 <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;7-limit&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The &lt;em&gt;7-limit&lt;/em&gt; or &amp;quot;7 prime-limit&amp;quot; refers to a constraint on rational intervals such that 7 is the highest allowable &lt;a class="wiki_link" href="/prime%20number"&gt;prime number&lt;/a&gt;, so that every such interval may be written as a ratio of integers which are products of 2, 3, 5 and 7. This is an infinite set and still infinite even if we restrict consideration to a single octave. Some examples within the octave include &lt;a class="wiki_link" href="/9_7"&gt;9/7&lt;/a&gt;, &lt;a class="wiki_link" href="/14_9"&gt;14/9&lt;/a&gt;, &lt;a class="wiki_link" href="/15_14"&gt;15/14&lt;/a&gt;, &lt;a class="wiki_link" href="/28_15"&gt;28/15&lt;/a&gt;, &lt;a class="wiki_link" href="/21_16"&gt;21/16&lt;/a&gt;, &lt;a class="wiki_link" href="/32_21"&gt;32/21&lt;/a&gt;, &lt;a class="wiki_link" href="/25_14"&gt;25/14&lt;/a&gt;, &lt;a class="wiki_link" href="/28_25"&gt;28/25&lt;/a&gt;, &lt;a class="wiki_link" href="/25_21"&gt;25/21&lt;/a&gt;, &lt;a class="wiki_link" href="/42_25"&gt;42/25&lt;/a&gt;, &lt;a class="wiki_link" href="/28_27"&gt;28/27&lt;/a&gt;, &lt;a class="wiki_link" href="/27_14"&gt;27/14&lt;/a&gt;, &lt;a class="wiki_link" href="/35_28"&gt;35/28&lt;/a&gt;, &lt;a class="wiki_link" href="/56_35"&gt;56/35&lt;/a&gt;, 45/28, 56/45, 49/32, 64/49, 49/36, 72/49, 49/30, 60/49, 49/25, 50/49, 49/27, 54/49, 49/35, 70/49, 49/45, 90/49.&lt;br /&gt;
@@ Line 39: / Line 43: @@
 Relative to their size, the equal divisions &lt;a class="wiki_link" href="/12edo"&gt;12edo&lt;/a&gt;, &lt;a class="wiki_link" href="/19edo"&gt;19edo&lt;/a&gt;, &lt;a class="wiki_link" href="/31edo"&gt;31edo&lt;/a&gt;, &lt;a class="wiki_link" href="/99edo"&gt;99edo&lt;/a&gt; and &lt;a class="wiki_link" href="/171edo"&gt;171edo&lt;/a&gt; provide good approximations to the 7-limit, with &lt;a class="wiki_link" href="/15edo"&gt;15edo&lt;/a&gt;, &lt;a class="wiki_link" href="/22edo"&gt;22edo&lt;/a&gt;, &lt;a class="wiki_link" href="/27edo"&gt;27edo&lt;/a&gt;, &lt;a class="wiki_link" href="/41edo"&gt;41edo&lt;/a&gt;, &lt;a class="wiki_link" href="/46edo"&gt;46edo&lt;/a&gt;, &lt;a class="wiki_link" href="/53edo"&gt;53edo&lt;/a&gt;, &lt;a class="wiki_link" href="/58edo"&gt;58edo&lt;/a&gt;, &lt;a class="wiki_link" href="/68edo"&gt;68edo&lt;/a&gt;, &lt;a class="wiki_link" href="/72edo"&gt;72edo&lt;/a&gt;, &lt;a class="wiki_link" href="/118edo"&gt;118edo&lt;/a&gt;, &lt;a class="wiki_link" href="/130edo"&gt;130edo&lt;/a&gt;, &lt;a class="wiki_link" href="/140edo"&gt;140edo&lt;/a&gt; and &lt;a class="wiki_link" href="/152edo"&gt;152edo&lt;/a&gt; among the others worthy of notice.&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Music"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Music&lt;/h1&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:1:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Music"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:1 --&gt;Music&lt;/h1&gt;
   &lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/blue-tuning/blue-ji-excluded-by-peers.mp3" rel="nofollow"&gt;Excluded by Peers&lt;/a&gt; by &lt;a class="wiki_link" href="/Chris%20Vaisvil"&gt;Chris Vaisvil&lt;/a&gt;&lt;br /&gt;
 &lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/centaur_tuning/Prelude_For_Centaur_Tuned_Piano.mp3" rel="nofollow"&gt;Prelude for Centaur Tuned Piano&lt;/a&gt; by Chris Vaisvil&lt;br /&gt;
@@ Line 45: / Line 49: @@
 &lt;a class="wiki_link_ext" href="http://www.archive.org/details/ClintonVariations" rel="nofollow"&gt;Clinton Variations&lt;/a&gt; &lt;a class="wiki_link_ext" href="http://www.archive.org/download/ClintonVariations/clinton.mp3" rel="nofollow"&gt;play&lt;/a&gt; by &lt;a class="wiki_link" href="/Gene%20Ward%20Smith"&gt;Gene Ward Smith&lt;/a&gt;&lt;br /&gt;
 &lt;a class="wiki_link_ext" href="http://www.youtube.com/watch?v=HzQmaxDIxnc&amp;amp;feature=channel_video_title" rel="nofollow"&gt;Pachelbel's Canon in D in 7-limit JI&lt;/a&gt; &lt;a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Meneghin/Pachelbel_s%20Canon%20in%20D%20-%20Relaxing%20music,%20with%20mountain%20views.mp3" rel="nofollow"&gt;play&lt;/a&gt;&lt;br /&gt;
+&lt;a class="wiki_link_ext" href="http://clones.soonlabel.com/public/classical-music/mars-7-limit-kontakt5.mp3" rel="nofollow"&gt; Mars in 7-Limit JI&lt;/a&gt; from &lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/The_Planets" rel="nofollow" target="_blank"&gt;The Planets&lt;/a&gt; the orchestral suite by Gustav Holst arranged by &lt;a class="wiki_link" href="/Chris%20Vaisvil" target="_blank"&gt;Chris Vaisvil&lt;/a&gt;&lt;br /&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:3:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="see also"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:3 --&gt;see also&lt;/h1&gt;
+ &lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Harmonic%20Limit"&gt;Harmonic Limit&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/7-limit" rel="nofollow"&gt;7-limit - Wikipedia&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Highly_composite_number" rel="nofollow"&gt;Highly composite number - Wikipedia&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
+&lt;br /&gt;
+&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="see also"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;see also&lt;/h1&gt;
+&lt;!-- ws:start:WikiTextMediaRule:0:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/custom/20562700?h=0&amp;amp;w=0&amp;quot; class=&amp;quot;WikiMedia WikiMediaCustom&amp;quot; id=&amp;quot;wikitext@@media@@type=&amp;amp;quot;custom&amp;amp;quot; key=&amp;amp;quot;20562700&amp;amp;quot;&amp;quot; title=&amp;quot;Custom Media&amp;quot;/&amp;gt; --&gt;&lt;script type="text/javascript" src="http://webplayer.yahooapis.com/player.js"&gt;
-&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Harmonic%20Limit"&gt;Harmonic Limit&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/7-limit" rel="nofollow"&gt;7-limit - Wikipedia&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Highly_composite_number" rel="nofollow"&gt;Highly composite number - Wikipedia&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
+&lt;/script&gt;&lt;!-- ws:end:WikiTextMediaRule:0 --&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>