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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | 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; nonetheless, it is a [[The_Riemann_Zeta_Function_and_Tuning#Zeta EDO lists|zeta peak edo]]. 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. |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
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| : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2015-08-16 11:33:07 UTC</tt>.<br>
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| : The original revision id was <tt>556758975</tt>.<br>
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| : The revision comment was: <tt></tt><br>
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| The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
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| <h4>Original Wikitext content:</h4>
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| <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">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; nonetheless, it is a [[The Riemann Zeta Function and Tuning#Zeta EDO lists|zeta peak edo]]. 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.</pre></div>
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| <h4>Original HTML content:</h4>
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| <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"><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; nonetheless, it is a <a class="wiki_link" href="/The%20Riemann%20Zeta%20Function%20and%20Tuning#Zeta EDO lists">zeta peak edo</a>. 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></pre></div>
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Revision as of 00:00, 17 July 2018
The 342 equal division divides the steps of 171 in half, dividing the octave into 342 intervals of 3.509 cents each. It is a very strong 11-limit system; not until 1848 do we reach one with a lower 11-limit relative error. It is, as one would expect, distinctly consistent through the 11-limit, but goes no higher; nonetheless, it is a zeta peak edo. 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 hemitert temperament, and supports hemiennealimmal.