Lucy tuning
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- This revision was by author genewardsmith and made on 2014-02-14 12:00:38 UTC.
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Original Wikitext content:
LucyTuning is the meantone tuning advocated by [[Charles Lucy]], with a fifth of precisely 600 + 300/π = 695.493 [[cent]]s. This is close to the [[88edo]] fifth of 695.455 cents, and shares its general characteristics such as being a good tuning for [[Meantone family|mothra]] and [[Didymus rank three family|eupterpe]] temperaments, providing a mothra generator, an approximate [[8_7|8/7]], of 200+100/π cents, which extends [[5-limit]] meantone LucyTuning to a version with a mothra (1/3 meantone fifth) generator. As a tuning for 5-limit meantone, it has the softer quality characteristic of the flatter fifth meantones between [[50edo]] and [[19edo]]. It has a major third of 1200/π cents, or 1/π of an octave, 381.972 cents, 4.342 cents flat of [[5_4|5/4]], but 2.827 cents sharp of [[1-3 Syntonic Comma Meantone|1/3-comma meantone]]'s major third. A reasonable mapping for [[11-limit]] extended LucyTuning would be <1200 1800+300/π 2400+1200/π 3400-100/π 4400-800/π| This tempers out the mothra [[comma]]s of 81/80, 1029/1024, 99/98 and 385/384. While Charles Lucy himself does not seem to consider the possibility of extending LucyTuning, it should be noted that the mothra mapping above gives a 7/4 of 1000-100/π, a mere 0.659 cents flat of a [[7_4|just 7/4]]. Another way to extend LucyTuning is meanpop: <1200 1800+300/π 2400+1200/π 2400+3000/π 5400-3900/π| Since this does not involve splitting the generator into thirds it is closer to Lucy's 5-limit perspective. [[http://www.lucytune.com|Link to Lucy Tuning website]] =Music= [[http://www.myspace.com/lucytuning]]
Original HTML content:
<html><head><title>Lucy Tuning</title></head><body>LucyTuning is the meantone tuning advocated by <a class="wiki_link" href="/Charles%20Lucy">Charles Lucy</a>, with a fifth of precisely 600 + 300/π = 695.493 <a class="wiki_link" href="/cent">cent</a>s. This is close to the <a class="wiki_link" href="/88edo">88edo</a> fifth of 695.455 cents, and shares its general characteristics such as being a good tuning for <a class="wiki_link" href="/Meantone%20family">mothra</a> and <a class="wiki_link" href="/Didymus%20rank%20three%20family">eupterpe</a> temperaments, providing a mothra generator, an approximate <a class="wiki_link" href="/8_7">8/7</a>, of 200+100/π cents, which extends <a class="wiki_link" href="/5-limit">5-limit</a> meantone LucyTuning to a version with a mothra (1/3 meantone fifth) generator. As a tuning for 5-limit meantone, it has the softer quality characteristic of the flatter fifth meantones between <a class="wiki_link" href="/50edo">50edo</a> and <a class="wiki_link" href="/19edo">19edo</a>. It has a major third of 1200/π cents, or 1/π of an octave, 381.972 cents, 4.342 cents flat of <a class="wiki_link" href="/5_4">5/4</a>, but 2.827 cents sharp of <a class="wiki_link" href="/1-3%20Syntonic%20Comma%20Meantone">1/3-comma meantone</a>'s major third.<br /> <br /> A reasonable mapping for <a class="wiki_link" href="/11-limit">11-limit</a> extended LucyTuning would be<br /> <1200 1800+300/π 2400+1200/π 3400-100/π 4400-800/π|<br /> This tempers out the mothra <a class="wiki_link" href="/comma">comma</a>s of 81/80, 1029/1024, 99/98 and 385/384. While Charles Lucy himself does not seem to consider the possibility of extending LucyTuning, it should be noted that the mothra mapping above gives a 7/4 of 1000-100/π, a mere 0.659 cents flat of a <a class="wiki_link" href="/7_4">just 7/4</a>. Another way to extend LucyTuning is meanpop:<br /> <1200 1800+300/π 2400+1200/π 2400+3000/π 5400-3900/π|<br /> Since this does not involve splitting the generator into thirds it is closer to Lucy's 5-limit perspective.<br /> <br /> <a class="wiki_link_ext" href="http://www.lucytune.com" rel="nofollow">Link to Lucy Tuning website</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="Music"></a><!-- ws:end:WikiTextHeadingRule:0 -->Music</h1> <a class="wiki_link_ext" href="http://www.myspace.com/lucytuning" rel="nofollow">http://www.myspace.com/lucytuning</a></body></html>