Lucy tuning

Revision as of 15:44, 22 June 2011 by Wikispaces>xenwolf (**Imported revision 238240749 - Original comment: some links added**)

IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author xenwolf and made on 2011-06-22 15:44:51 UTC.
The original revision id was 238240749.
The revision comment was: some links added

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

Original Wikitext content:

LucyTuning is the meantone tuning advocated by [[Charles Lucy]], with a fifth of precisely 600 + 300/pi = 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/pi 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/pi cents, or 1/pi of an octave, 381.972 cents, 4.342 cents flat of [[5_4|5/4]].

A reasonable mapping for [[11-limit]] extended LucyTuning would be
<1200 1800+300/pi 2400+1200/pi 3400-100/pi 4400-800/pi|
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/pi, a mere 0.659 cents flat of a [[7_4|just 7/4]]. Another way to extend LucyTuning is meanpop:
<1200 1800+300/pi 2400+1200/pi 2400+3000/pi 5400-3900/pi|
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/pi = 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/pi 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/pi cents, or 1/pi of an octave, 381.972 cents, 4.342 cents flat of <a class="wiki_link" href="/5_4">5/4</a>.<br />
<br />
A reasonable mapping for <a class="wiki_link" href="/11-limit">11-limit</a> extended LucyTuning would be<br />
&lt;1200 1800+300/pi 2400+1200/pi 3400-100/pi 4400-800/pi|<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/pi, 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 />
&lt;1200 1800+300/pi 2400+1200/pi 2400+3000/pi 5400-3900/pi|<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:&lt;h1&gt; --><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>