Harmonic limit: Difference between revisions

Wikispaces>xenwolf
**Imported revision 237666661 - Original comment: **
Wikispaces>xenwolf
**Imported revision 237668123 - 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:xenwolf|xenwolf]] and made on <tt>2011-06-20 02:47:26 UTC</tt>.<br>
: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2011-06-20 03:03:14 UTC</tt>.<br>
: The original revision id was <tt>237666661</tt>.<br>
: The original revision id was <tt>237668123</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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With increasing limits, the tonal space becomes more dense.
With increasing limits, the tonal space becomes more dense.
* [[2-limit]] contains only multiples of the [[octave]] (2/1), see [[1edo]]
* [[2-limit]] contains only multiples of the [[octave]] (2/1), see [[1edo]]
* [[3-limit]] contains [[3_2|3/2]], the pure fifth
* [[3-limit]] contains [[3_2|3/2]], the [[just perfect fifth]]
* [[5-limit]] contains [[5_4|5/4]], the just major third
* [[5-limit]] contains [[5_4|5/4]], the just major third
* [[7-limit]] contains [[7_4|7/4]], the harmonic seventh
* [[7-limit]] contains [[7_4|7/4]], the harmonic seventh
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&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-List of small p-limits"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt; List of small p-limits &lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-List of small p-limits"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt; List of small p-limits &lt;/h2&gt;
With increasing limits, the tonal space becomes more dense.&lt;br /&gt;
With increasing limits, the tonal space becomes more dense.&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/2-limit"&gt;2-limit&lt;/a&gt; contains only multiples of the &lt;a class="wiki_link" href="/octave"&gt;octave&lt;/a&gt; (2/1), see &lt;a class="wiki_link" href="/1edo"&gt;1edo&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/3-limit"&gt;3-limit&lt;/a&gt; contains &lt;a class="wiki_link" href="/3_2"&gt;3/2&lt;/a&gt;, the pure fifth&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/5-limit"&gt;5-limit&lt;/a&gt; contains &lt;a class="wiki_link" href="/5_4"&gt;5/4&lt;/a&gt;, the just major third&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/7-limit"&gt;7-limit&lt;/a&gt; contains &lt;a class="wiki_link" href="/7_4"&gt;7/4&lt;/a&gt;, the harmonic seventh&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/11-limit"&gt;11-limit&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/13-limit"&gt;13-limit&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/17-limit"&gt;17-limit&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/19-limit"&gt;19-limit&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/23-limit"&gt;23-limit&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/2-limit"&gt;2-limit&lt;/a&gt; contains only multiples of the &lt;a class="wiki_link" href="/octave"&gt;octave&lt;/a&gt; (2/1), see &lt;a class="wiki_link" href="/1edo"&gt;1edo&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/3-limit"&gt;3-limit&lt;/a&gt; contains &lt;a class="wiki_link" href="/3_2"&gt;3/2&lt;/a&gt;, the &lt;a class="wiki_link" href="/just%20perfect%20fifth"&gt;just perfect fifth&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/5-limit"&gt;5-limit&lt;/a&gt; contains &lt;a class="wiki_link" href="/5_4"&gt;5/4&lt;/a&gt;, the just major third&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/7-limit"&gt;7-limit&lt;/a&gt; contains &lt;a class="wiki_link" href="/7_4"&gt;7/4&lt;/a&gt;, the harmonic seventh&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/11-limit"&gt;11-limit&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/13-limit"&gt;13-limit&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/17-limit"&gt;17-limit&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/19-limit"&gt;19-limit&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/23-limit"&gt;23-limit&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>