166edo
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 2011-03-31 03:40:48 UTC.
- The original revision id was 215739964.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
The 166 equal temperament (in short 166-[[EDO]]) divides the [[octave]] into 166 equal steps of size 7.229 [[cent]]s each. Its principle interest lies in the usefulness of its approximations; it tempers out 225/224, 385/384, 540/539 and 4000/3993. It is an excellent tuning for the rank three temperament [[marvel]], especially the [[11-limit]] version tempering out both 225/224 and 385/384, and the rank two temperament wizard, which also tempers out 4000/3993, giving the [[optimal patent val]] for both of these. In the 13-limit it also tempers out 325/324, leading to 13-limit marvel, and 1573/1568, leading to marvell. Tempering out both gives [[Marvel temperaments|gizzard]], the 72&94 temperament, for which 166 is an excellent tuning through the [[19-limit|19 limit]]. 166 = 2 * 83.
Original HTML content:
<html><head><title>166edo</title></head><body>The 166 equal temperament (in short 166-<a class="wiki_link" href="/EDO">EDO</a>) divides the <a class="wiki_link" href="/octave">octave</a> into 166 equal steps of size 7.229 <a class="wiki_link" href="/cent">cent</a>s each. Its principle interest lies in the usefulness of its approximations; it tempers out 225/224, 385/384, 540/539 and 4000/3993. It is an excellent tuning for the rank three temperament <a class="wiki_link" href="/marvel">marvel</a>, especially the <a class="wiki_link" href="/11-limit">11-limit</a> version tempering out both 225/224 and 385/384, and the rank two temperament wizard, which also tempers out 4000/3993, giving the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for both of these. In the 13-limit it also tempers out 325/324, leading to 13-limit marvel, and 1573/1568, leading to marvell. Tempering out both gives <a class="wiki_link" href="/Marvel%20temperaments">gizzard</a>, the 72&94 temperament, for which 166 is an excellent tuning through the <a class="wiki_link" href="/19-limit">19 limit</a>.<br /> <br /> 166 = 2 * 83.</body></html>