342edo

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Revision as of 11:31, 16 August 2015 by Wikispaces>genewardsmith (**Imported revision 556758931 - Original comment: **)
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IMPORTED REVISION FROM WIKISPACES

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

This revision was by author genewardsmith and made on 2015-08-16 11:31:37 UTC.
The original revision id was 556758931.
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 **342** equal division divides the steps of [[171edo|171]] in half, dividing the octave into 342 intervals of 3.509 cents each. It is a very strong 11-limit system; not until [[1848edo|1848]] do we reach one with a lower 11-limit [[Tenney-Euclidean temperament measures#TE simple badness|relative error]]. It is, as one would expect, distinctly consistent through the 11-limit, but goes no higher. A basis for the 11-limit commas is 2401/2400, 3025/3024, 4375/4374 and 32805/32768. It is the optimal patent val for 11-limit [[Breedsmic temperaments#Hemitert|hemitert]] temperament, and supports hemiennealimmal.

Original HTML content:

<html><head><title>342edo</title></head><body>The <strong>342</strong> equal division divides the steps of <a class="wiki_link" href="/171edo">171</a> in half, dividing the octave into 342 intervals of 3.509 cents each. It is a very strong 11-limit system; not until <a class="wiki_link" href="/1848edo">1848</a> do we reach one with a lower 11-limit <a class="wiki_link" href="/Tenney-Euclidean%20temperament%20measures#TE simple badness">relative error</a>. It is, as one would expect, distinctly consistent through the 11-limit, but goes no higher. A basis for the 11-limit commas is 2401/2400, 3025/3024, 4375/4374 and 32805/32768. It is the optimal patent val for 11-limit <a class="wiki_link" href="/Breedsmic%20temperaments#Hemitert">hemitert</a> temperament, and supports hemiennealimmal.</body></html>