Quarter-comma meantone: Difference between revisions

Wikispaces>genewardsmith
**Imported revision 235337636 - Original comment: **
Wikispaces>genewardsmith
**Imported revision 235356600 - 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:genewardsmith|genewardsmith]] and made on <tt>2011-06-08 22:48:28 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-06-09 00:55:22 UTC</tt>.<br>
: The original revision id was <tt>235337636</tt>.<br>
: The original revision id was <tt>235356600</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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==Music==
==Music==
[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/quartercomma/reelrock.mp3|Reelin' and Rockin']] by Chuck Berry</pre></div>
[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/quartercomma/reelrock.mp3|Reelin' and Rockin']] by [[http://en.wikipedia.org/wiki/Chuck_Berry|Chuck Berry]]
[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/quartercomma/Le%20Tic-Toc%20Choc.mp3|Le Tic-Toc Choc]] by [[http://en.wikipedia.org/wiki/Fran%C3%A7ois_Couperin|Fran%C3%A7ois Couperin]]</pre></div>
<h4>Original HTML content:</h4>
<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;Quarter-comma meantone&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Quarter comma meantone is the tuning of &lt;a class="wiki_link" href="/Meantone%20family"&gt;meantone temperament&lt;/a&gt; which makes the fifth the fourth root of 5, or in other words 696.478 cents. This means the fifth is flattened by 1/4 of the syntonic comma (81/80 ratio) of 21.506 cents, which is to say by 5.377 cents, hence the name quarter-comma or 1/4-comma meantone. It is the minimax tuning for 5-limit meantone, meaning the maximum error on the 5-limit &lt;a class="wiki_link" href="/Diamonds"&gt;diamond&lt;/a&gt; is minimized. It is also the minimax tuning for septimal meantone in the 7- and 9-limit odd limits, and for meanpop, the version of 11-limit meantone which tunes 11/8 to the doubly diminished fifth, C-Gbb. Moreover, historically it was the predominant tuning of Western common-practice music in the latter part of the Renaissance and the early modern (17th century) era. &lt;br /&gt;
<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;Quarter-comma meantone&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Quarter comma meantone is the tuning of &lt;a class="wiki_link" href="/Meantone%20family"&gt;meantone temperament&lt;/a&gt; which makes the fifth the fourth root of 5, or in other words 696.478 cents. This means the fifth is flattened by 1/4 of the syntonic comma (81/80 ratio) of 21.506 cents, which is to say by 5.377 cents, hence the name quarter-comma or 1/4-comma meantone. It is the minimax tuning for 5-limit meantone, meaning the maximum error on the 5-limit &lt;a class="wiki_link" href="/Diamonds"&gt;diamond&lt;/a&gt; is minimized. It is also the minimax tuning for septimal meantone in the 7- and 9-limit odd limits, and for meanpop, the version of 11-limit meantone which tunes 11/8 to the doubly diminished fifth, C-Gbb. Moreover, historically it was the predominant tuning of Western common-practice music in the latter part of the Renaissance and the early modern (17th century) era. &lt;br /&gt;
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&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="Intervals of quarter-comma meantone-Music"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Music&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="Intervals of quarter-comma meantone-Music"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Music&lt;/h2&gt;
&lt;a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/quartercomma/reelrock.mp3" rel="nofollow"&gt;Reelin' and Rockin'&lt;/a&gt; by Chuck Berry&lt;/body&gt;&lt;/html&gt;</pre></div>
&lt;a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/quartercomma/reelrock.mp3" rel="nofollow"&gt;Reelin' and Rockin'&lt;/a&gt; by &lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Chuck_Berry" rel="nofollow"&gt;Chuck Berry&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/quartercomma/Le%20Tic-Toc%20Choc.mp3" rel="nofollow"&gt;Le Tic-Toc Choc&lt;/a&gt; by &lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Fran%C3%A7ois_Couperin" rel="nofollow"&gt;Fran%C3%A7ois Couperin&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>