41edo: Difference between revisions

Wikispaces>guest
**Imported revision 171862041 - Original comment: **
Wikispaces>guest
**Imported revision 171862253 - 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>
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: This revision was by author [[User:guest|guest]] and made on <tt>2010-10-19 15:13:14 UTC</tt>.<br>
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: The original revision id was <tt>171862041</tt>.<br>
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==Nonoctave Temperaments==  
==Nonoctave Temperaments==  
Taking every third degree of 41edo produces a scale extremely close to [[88cET]] or 88-cent equal temperament (or the 8th root of 3:2). Likewise, taking every fifth degree produces a scale very close to the equal-tempered [[Bohlen-Pierce]] Scale (or the 13th root of 3). See chart:
Taking every third degree of 41edo produces a scale extremely close to [[88cET]] or 88-cent equal temperament (or the 8th root of 3:2). Likewise, taking every fifth degree produces a scale very close to the equal-tempered &lt;span class="wiki_link_new"&gt;[[BP|Bohlen-Pierce]]&lt;/span&gt;[[BP| Scale]] (or the 13th root of 3). See chart:


|||||| 3 degrees of 41edo (near 88cET) || overlap |||||| 5 degrees of 41edo (near BP) ||
|||||| 3 degrees of 41edo (near 88cET) || overlap |||||| 5 degrees of 41edo (near BP) ||
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&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-Nonoctave Temperaments"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Nonoctave Temperaments&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-Nonoctave Temperaments"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Nonoctave Temperaments&lt;/h2&gt;
  Taking every third degree of 41edo produces a scale extremely close to &lt;a class="wiki_link" href="/88cET"&gt;88cET&lt;/a&gt; or 88-cent equal temperament (or the 8th root of 3:2). Likewise, taking every fifth degree produces a scale very close to the equal-tempered &lt;a class="wiki_link" href="/Bohlen-Pierce"&gt;Bohlen-Pierce&lt;/a&gt; Scale (or the 13th root of 3). See chart:&lt;br /&gt;
  Taking every third degree of 41edo produces a scale extremely close to &lt;a class="wiki_link" href="/88cET"&gt;88cET&lt;/a&gt; or 88-cent equal temperament (or the 8th root of 3:2). Likewise, taking every fifth degree produces a scale very close to the equal-tempered &lt;span class="wiki_link_new"&gt;&lt;a class="wiki_link" href="/BP"&gt;Bohlen-Pierce&lt;/a&gt;&lt;/span&gt;&lt;a class="wiki_link" href="/BP"&gt; Scale&lt;/a&gt; (or the 13th root of 3). See chart:&lt;br /&gt;
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&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="x-Links"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Links&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="x-Links"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Links&lt;/h2&gt;
  &lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/41_equal_temperament" rel="nofollow"&gt;Wikipedia article on 41edo&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Magic22%20as%20srutis#magic22assrutis"&gt;Magic22 as srutis&lt;/a&gt; describes a possible use of 41edo for &lt;a class="wiki_link" href="/indian"&gt;indian&lt;/a&gt; music.&lt;/li&gt;&lt;li&gt;see also &lt;a class="wiki_link" href="/Magic%20family"&gt;Magic family&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;!-- ws:start:WikiTextReferencesRule:1140: --&gt;&lt;hr class="references" /&gt;&lt;ol class="references"&gt;
  &lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/41_equal_temperament" rel="nofollow"&gt;Wikipedia article on 41edo&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Magic22%20as%20srutis#magic22assrutis"&gt;Magic22 as srutis&lt;/a&gt; describes a possible use of 41edo for &lt;a class="wiki_link" href="/indian"&gt;indian&lt;/a&gt; music.&lt;/li&gt;&lt;li&gt;see also &lt;a class="wiki_link" href="/Magic%20family"&gt;Magic family&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;!-- ws:start:WikiTextReferencesRule:1143: --&gt;&lt;hr class="references" /&gt;&lt;ol class="references"&gt;
&lt;li id="cite_note-1"&gt;&lt;a href="#cite_ref-1"&gt;^&lt;/a&gt; [&lt;a class="wiki_link_ext" href="http://x31eq.com/schismic.htm" rel="nofollow"&gt;http://x31eq.com/schismic.htm&lt;/a&gt; &amp;quot;Schismic Temperaments &amp;quot;], ''Intonation Information''.&lt;/li&gt;
&lt;li id="cite_note-1"&gt;&lt;a href="#cite_ref-1"&gt;^&lt;/a&gt; [&lt;a class="wiki_link_ext" href="http://x31eq.com/schismic.htm" rel="nofollow"&gt;http://x31eq.com/schismic.htm&lt;/a&gt; &amp;quot;Schismic Temperaments &amp;quot;], ''Intonation Information''.&lt;/li&gt;
&lt;li id="cite_note-2"&gt;&lt;a href="#cite_ref-2"&gt;^&lt;/a&gt; [&lt;a class="wiki_link_ext" href="http://x31eq.com/decimal_lattice.htm" rel="nofollow"&gt;http://x31eq.com/decimal_lattice.htm&lt;/a&gt; &amp;quot;Lattices with Decimal Notation&amp;quot;], ''Intonation Information''.&lt;/li&gt;
&lt;li id="cite_note-2"&gt;&lt;a href="#cite_ref-2"&gt;^&lt;/a&gt; [&lt;a class="wiki_link_ext" href="http://x31eq.com/decimal_lattice.htm" rel="nofollow"&gt;http://x31eq.com/decimal_lattice.htm&lt;/a&gt; &amp;quot;Lattices with Decimal Notation&amp;quot;], ''Intonation Information''.&lt;/li&gt;
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