Quarter-comma meantone: Difference between revisions
Wikispaces>genewardsmith **Imported revision 235370282 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 235670734 - 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- | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-06-10 01:35:31 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>235670734</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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[[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/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|François Couperin]] | [[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|François Couperin]] | ||
[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/quartercomma/Prelude%20in%20g%20Op%2023%20%235.mp3|Prelude in g minor Op 23 #5]] by [[http://en.wikipedia.org/wiki/Sergei_Rachmaninoff|Sergei Rachmaninoff]]</pre></div> | [[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/quartercomma/Prelude%20in%20g%20Op%2023%20%235.mp3|Prelude in g minor Op 23 #5]] by [[http://en.wikipedia.org/wiki/Sergei_Rachmaninoff|Sergei Rachmaninoff]] | ||
[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/quartercomma/At%20the%20Hop.mp3|At the Hop]] by [[http://en.wikipedia.org/wiki/Arthur_Singer|Singer]], [[http://en.wikipedia.org/wiki/John_Medora|Medora]] and [[http://en.wikipedia.org/wiki/David_White_(musician)|White]]</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"><html><head><title>Quarter-comma meantone</title></head><body>Quarter comma meantone is the tuning of <a class="wiki_link" href="/Meantone%20family">meantone temperament</a> 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 <a class="wiki_link" href="/Diamonds">diamond</a> 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. <br /> | <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>Quarter-comma meantone</title></head><body>Quarter comma meantone is the tuning of <a class="wiki_link" href="/Meantone%20family">meantone temperament</a> 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 <a class="wiki_link" href="/Diamonds">diamond</a> 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. <br /> | ||
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<a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/quartercomma/reelrock.mp3" rel="nofollow">Reelin' and Rockin'</a> by <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Chuck_Berry" rel="nofollow">Chuck Berry</a><br /> | <a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/quartercomma/reelrock.mp3" rel="nofollow">Reelin' and Rockin'</a> by <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Chuck_Berry" rel="nofollow">Chuck Berry</a><br /> | ||
<a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/quartercomma/Le%20Tic-Toc%20Choc.mp3" rel="nofollow">Le Tic-Toc Choc</a> by <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Fran%C3%A7ois_Couperin" rel="nofollow">François Couperin</a><br /> | <a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/quartercomma/Le%20Tic-Toc%20Choc.mp3" rel="nofollow">Le Tic-Toc Choc</a> by <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Fran%C3%A7ois_Couperin" rel="nofollow">François Couperin</a><br /> | ||
<a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/quartercomma/Prelude%20in%20g%20Op%2023%20%235.mp3" rel="nofollow">Prelude in g minor Op 23 #5</a> by <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Sergei_Rachmaninoff" rel="nofollow">Sergei Rachmaninoff</a></body></html></pre></div> | <a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/quartercomma/Prelude%20in%20g%20Op%2023%20%235.mp3" rel="nofollow">Prelude in g minor Op 23 #5</a> by <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Sergei_Rachmaninoff" rel="nofollow">Sergei Rachmaninoff</a><br /> | ||
<a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/quartercomma/At%20the%20Hop.mp3" rel="nofollow">At the Hop</a> by <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Arthur_Singer" rel="nofollow">Singer</a>, <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/John_Medora" rel="nofollow">Medora</a> and <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/David_White_(musician)" rel="nofollow">White</a></body></html></pre></div> | |||