Lucy tuning: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
LucyTuning is the meantone tuning advocated by [[Charles_Lucy|Charles Lucy]], with a fifth of precisely 600 + 300/π = 695.493 [[cent|cent]]s. This is close to the [[88edo|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|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|50edo]] and [[19edo|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.
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>2014-02-14 12:00:38 UTC</tt>.<br>
A reasonable mapping for [[11-limit|11-limit]] extended LucyTuning would be
: The original revision id was <tt>489544944</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>
<h4>Original Wikitext 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;white-space: pre-wrap ! important" class="old-revision-html">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
&lt;1200 1800+300/π 2400+1200/π 3400-100/π 4400-800/π|
&lt;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:
 
This tempers out the mothra [[Comma|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:
 
&lt;1200 1800+300/π 2400+1200/π 2400+3000/π 5400-3900/π|
&lt;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.
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]]
[http://www.lucytune.com Link to Lucy Tuning website]


=Music=  
=Music=
[[http://www.myspace.com/lucytuning]]</pre></div>
[http://www.myspace.com/lucytuning http://www.myspace.com/lucytuning]      [[Category:listen]]
<h4>Original HTML content:</h4>
[[Category:lucy]]
<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;Lucy Tuning&lt;/title&gt;&lt;/head&gt;&lt;body&gt;LucyTuning is the meantone tuning advocated by &lt;a class="wiki_link" href="/Charles%20Lucy"&gt;Charles Lucy&lt;/a&gt;, with a fifth of precisely 600 + 300/π = 695.493 &lt;a class="wiki_link" href="/cent"&gt;cent&lt;/a&gt;s. This is close to the &lt;a class="wiki_link" href="/88edo"&gt;88edo&lt;/a&gt; fifth of 695.455 cents, and shares its general characteristics such as being a good tuning for &lt;a class="wiki_link" href="/Meantone%20family"&gt;mothra&lt;/a&gt; and &lt;a class="wiki_link" href="/Didymus%20rank%20three%20family"&gt;eupterpe&lt;/a&gt; temperaments, providing a mothra generator, an approximate &lt;a class="wiki_link" href="/8_7"&gt;8/7&lt;/a&gt;, of 200+100/π cents, which extends &lt;a class="wiki_link" href="/5-limit"&gt;5-limit&lt;/a&gt; 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 &lt;a class="wiki_link" href="/50edo"&gt;50edo&lt;/a&gt; and &lt;a class="wiki_link" href="/19edo"&gt;19edo&lt;/a&gt;. It has a major third of 1200/π cents, or 1/π of an octave, 381.972 cents, 4.342 cents flat of &lt;a class="wiki_link" href="/5_4"&gt;5/4&lt;/a&gt;, but 2.827 cents sharp of &lt;a class="wiki_link" href="/1-3%20Syntonic%20Comma%20Meantone"&gt;1/3-comma meantone&lt;/a&gt;'s major third.&lt;br /&gt;
[[Category:lucytuning]]
&lt;br /&gt;
[[Category:meanpop]]
A reasonable mapping for &lt;a class="wiki_link" href="/11-limit"&gt;11-limit&lt;/a&gt; extended LucyTuning would be&lt;br /&gt;
[[Category:meantone]]
&amp;lt;1200 1800+300/π 2400+1200/π 3400-100/π 4400-800/π|&lt;br /&gt;
[[Category:mothra]]
This tempers out the mothra &lt;a class="wiki_link" href="/comma"&gt;comma&lt;/a&gt;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 &lt;a class="wiki_link" href="/7_4"&gt;just 7/4&lt;/a&gt;. Another way to extend LucyTuning is meanpop:&lt;br /&gt;
[[Category:transcendental]]
&amp;lt;1200 1800+300/π 2400+1200/π 2400+3000/π 5400-3900/π|&lt;br /&gt;
Since this does not involve splitting the generator into thirds it is closer to Lucy's 5-limit perspective.&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://www.lucytune.com" rel="nofollow"&gt;Link to Lucy Tuning website&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Music"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Music&lt;/h1&gt;
&lt;a class="wiki_link_ext" href="http://www.myspace.com/lucytuning" rel="nofollow"&gt;http://www.myspace.com/lucytuning&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 00:00, 17 July 2018

LucyTuning is the meantone tuning advocated by Charles Lucy, with a fifth of precisely 600 + 300/π = 695.493 cents. This is close to the 88edo fifth of 695.455 cents, and shares its general characteristics such as being a good tuning for mothra and eupterpe temperaments, providing a mothra generator, an approximate 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, but 2.827 cents sharp of 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 commas 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 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.

Link to Lucy Tuning website

Music

http://www.myspace.com/lucytuning