Meantone: Difference between revisions

Wikispaces>Dodecaphobe
**Imported revision 519017926 - Original comment: **
Wikispaces>spt3125
**Imported revision 615834047 - Original comment: added link (deorphaning)**
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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:Dodecaphobe|Dodecaphobe]] and made on <tt>2014-08-20 00:09:45 UTC</tt>.<br>
: This revision was by author [[User:spt3125|spt3125]] and made on <tt>2017-07-22 22:15:35 UTC</tt>.<br>
: The original revision id was <tt>519017926</tt>.<br>
: The original revision id was <tt>615834047</tt>.<br>
: The revision comment was: <tt></tt><br>
: The revision comment was: <tt>added link (deorphaning)</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>
<h4>Original Wikitext content:</h4>
<h4>Original Wikitext content:</h4>
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[[Meantone intervals|Intervals in meantone]] have standard names based on the number of steps of the diatonic scale they span (this corresponds to the [[val]] &lt;7 11 16|), with a modifier {..."double diminished", "diminished", "minor", "major", "augmented", "double augmented"...} that tells you the specific interval in increments of a chromatic semitone. Note that in a general meantone system, all of these intervals are distinct. For example, a diminished fourth is a different interval from a major third.
[[Meantone intervals|Intervals in meantone]] have standard names based on the number of steps of the diatonic scale they span (this corresponds to the [[val]] &lt;7 11 16|), with a modifier {..."double diminished", "diminished", "minor", "major", "augmented", "double augmented"...} that tells you the specific interval in increments of a chromatic semitone. Note that in a general meantone system, all of these intervals are distinct. For example, a diminished fourth is a different interval from a major third.


=Common Meantone Temperaments (ie, tunings)=  
=Meantone Temperaments (ie, tunings)=  
* [[19edo|19-edo]]
* [[19edo|19-edo]]
* [[1-3 Syntonic Comma Meantone|1/3 Syntonic Comma Meantone]]
* [[1-3 Syntonic Comma Meantone|1/3 Syntonic Comma Meantone]]
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* [[50edo|50-edo]]
* [[50edo|50-edo]]
* [[55edo|55-edo]]
* [[55edo|55-edo]]
* [[Tungsten meantone]]


=Spectrum of Meantone Tunings by Eigenmonzos=  
=Spectrum of Meantone Tunings by Eigenmonzos=  
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&lt;a class="wiki_link" href="/Meantone%20intervals"&gt;Intervals in meantone&lt;/a&gt; have standard names based on the number of steps of the diatonic scale they span (this corresponds to the &lt;a class="wiki_link" href="/val"&gt;val&lt;/a&gt; &amp;lt;7 11 16|), with a modifier {...&amp;quot;double diminished&amp;quot;, &amp;quot;diminished&amp;quot;, &amp;quot;minor&amp;quot;, &amp;quot;major&amp;quot;, &amp;quot;augmented&amp;quot;, &amp;quot;double augmented&amp;quot;...} that tells you the specific interval in increments of a chromatic semitone. Note that in a general meantone system, all of these intervals are distinct. For example, a diminished fourth is a different interval from a major third.&lt;br /&gt;
&lt;a class="wiki_link" href="/Meantone%20intervals"&gt;Intervals in meantone&lt;/a&gt; have standard names based on the number of steps of the diatonic scale they span (this corresponds to the &lt;a class="wiki_link" href="/val"&gt;val&lt;/a&gt; &amp;lt;7 11 16|), with a modifier {...&amp;quot;double diminished&amp;quot;, &amp;quot;diminished&amp;quot;, &amp;quot;minor&amp;quot;, &amp;quot;major&amp;quot;, &amp;quot;augmented&amp;quot;, &amp;quot;double augmented&amp;quot;...} that tells you the specific interval in increments of a chromatic semitone. Note that in a general meantone system, all of these intervals are distinct. For example, a diminished fourth is a different interval from a major third.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc2"&gt;&lt;a name="Common Meantone Temperaments (ie, tunings)"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Common Meantone Temperaments (ie, tunings)&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc2"&gt;&lt;a name="Meantone Temperaments (ie, tunings)"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Meantone Temperaments (ie, tunings)&lt;/h1&gt;
  &lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/19edo"&gt;19-edo&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/1-3%20Syntonic%20Comma%20Meantone"&gt;1/3 Syntonic Comma Meantone&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Golden%20Meantone"&gt;Golden Meantone&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Quarter-comma%20meantone"&gt;1/4 Syntonic Comma Meantone&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/31edo"&gt;31-edo&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/1-5%20Syntonic%20Comma%20Meantone"&gt;1/5 Syntonic Comma Meantone&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/1-6%20Syntonic%20Comma%20Meantone"&gt;1/6 Syntonic Comma Meantone&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/12edo"&gt;12-edo&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Lucy%20tuning"&gt;Lucy tuning&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/50edo"&gt;50-edo&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/55edo"&gt;55-edo&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
  &lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/19edo"&gt;19-edo&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/1-3%20Syntonic%20Comma%20Meantone"&gt;1/3 Syntonic Comma Meantone&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Golden%20Meantone"&gt;Golden Meantone&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Quarter-comma%20meantone"&gt;1/4 Syntonic Comma Meantone&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/31edo"&gt;31-edo&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/1-5%20Syntonic%20Comma%20Meantone"&gt;1/5 Syntonic Comma Meantone&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/1-6%20Syntonic%20Comma%20Meantone"&gt;1/6 Syntonic Comma Meantone&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/12edo"&gt;12-edo&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Lucy%20tuning"&gt;Lucy tuning&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/50edo"&gt;50-edo&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/55edo"&gt;55-edo&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Tungsten%20meantone"&gt;Tungsten meantone&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc3"&gt;&lt;a name="Spectrum of Meantone Tunings by Eigenmonzos"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Spectrum of Meantone Tunings by Eigenmonzos&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc3"&gt;&lt;a name="Spectrum of Meantone Tunings by Eigenmonzos"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Spectrum of Meantone Tunings by Eigenmonzos&lt;/h1&gt;
   
   
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&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc4"&gt;&lt;a name="Links"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Links&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc4"&gt;&lt;a name="Links"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Links&lt;/h1&gt;
  &lt;ul&gt;&lt;li&gt;&lt;!-- ws:start:WikiTextUrlRule:497:http://www.kylegann.com/histune.html --&gt;&lt;a class="wiki_link_ext" href="http://www.kylegann.com/histune.html" rel="nofollow"&gt;http://www.kylegann.com/histune.html&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:497 --&gt; -- An Introduction to Historical Tunings, by &lt;a class="wiki_link" href="/Kyle%20Gann"&gt;Kyle Gann&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
  &lt;ul&gt;&lt;li&gt;&lt;!-- ws:start:WikiTextUrlRule:500:http://www.kylegann.com/histune.html --&gt;&lt;a class="wiki_link_ext" href="http://www.kylegann.com/histune.html" rel="nofollow"&gt;http://www.kylegann.com/histune.html&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:500 --&gt; -- An Introduction to Historical Tunings, by &lt;a class="wiki_link" href="/Kyle%20Gann"&gt;Kyle Gann&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>