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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | The ''494 equal division'' is a very strong [[13-limit|13]] and [[17-limit|17-limit]] equal temperament. It is a [[The_Riemann_Zeta_Function_and_Tuning#Zeta EDO lists|zeta peak edo]] and uniquely [[consistent|consistent]] through the 17-limit. It [[tempering_out|tempers out]] the enneadeca, |-14 -19 19>, the [[tricot_comma|tricot comma]], |39 -29 3>, and the [[kwazy_comma|kwazy comma]], |-53 10 16>, in the [[5-limit|5-limit]]. In the [[7-limit|7-limit]], it tempers out 4375/4374 and 703125/702464; in the [[11-limit|11-limit]] 3025/3024 and 9801/9800; in the [[13-limit|13-limit]] 1716/1715, 2080/2079, 4096/4095, 4225/4224 and 6656/6655; and in the 17-limit, 1156/1155, 1275/1274, 2431/2430, and 2500/2499. Not until [[1506edo|1506]] do we reach a division with a lower 13- or 17-limit [[Tenney-Euclidean_temperament_measures#TE simple badness|relative error]], and it is the first past [[72edo|72]] with a lower 17-limit relative error. 494 is divisible by 2, 13, 19, 26, 38 and 247. |
| 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 12:51:07 UTC</tt>.<br>
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| : The original revision id was <tt>556760947</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> | |
| <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 //494 equal division// is a very strong [[13-limit|13]] and [[17-limit]] equal temperament. It is a [[The Riemann Zeta Function and Tuning#Zeta%20EDO%20lists|zeta peak edo]] and uniquely [[consistent]] through the 17-limit. It [[tempering out|tempers out]] the enneadeca, |-14 -19 19>, the [[tricot comma]], |39 -29 3>, and the [[kwazy comma]], |-53 10 16>, in the [[5-limit]]. In the [[7-limit]], it tempers out 4375/4374 and 703125/702464; in the [[11-limit]] 3025/3024 and 9801/9800; in the [[13-limit]] 1716/1715, 2080/2079, 4096/4095, 4225/4224 and 6656/6655; and in the 17-limit, 1156/1155, 1275/1274, 2431/2430, and 2500/2499. Not until [[1506edo|1506]] do we reach a division with a lower 13- or 17-limit [[Tenney-Euclidean temperament measures#TE simple badness|relative error]], and it is the first past [[72edo|72]] with a lower 17-limit relative error. 494 is divisible by 2, 13, 19, 26, 38 and 247.
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| see also <span class="PageTitle">[[Table of 494edo intervals]]</span></pre></div> | | see also <span style="">[[Table_of_494edo_intervals|Table of 494edo intervals]]</span> [[Category:17-limit]] |
| <h4>Original HTML content:</h4>
| | [[Category:494edo]] |
| <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>494edo</title></head><body>The <em>494 equal division</em> is a very strong <a class="wiki_link" href="/13-limit">13</a> and <a class="wiki_link" href="/17-limit">17-limit</a> equal temperament. It is a <a class="wiki_link" href="/The%20Riemann%20Zeta%20Function%20and%20Tuning#Zeta%20EDO%20lists">zeta peak edo</a> and uniquely <a class="wiki_link" href="/consistent">consistent</a> through the 17-limit. It <a class="wiki_link" href="/tempering%20out">tempers out</a> the enneadeca, |-14 -19 19&gt;, the <a class="wiki_link" href="/tricot%20comma">tricot comma</a>, |39 -29 3&gt;, and the <a class="wiki_link" href="/kwazy%20comma">kwazy comma</a>, |-53 10 16&gt;, in the <a class="wiki_link" href="/5-limit">5-limit</a>. In the <a class="wiki_link" href="/7-limit">7-limit</a>, it tempers out 4375/4374 and 703125/702464; in the <a class="wiki_link" href="/11-limit">11-limit</a> 3025/3024 and 9801/9800; in the <a class="wiki_link" href="/13-limit">13-limit</a> 1716/1715, 2080/2079, 4096/4095, 4225/4224 and 6656/6655; and in the 17-limit, 1156/1155, 1275/1274, 2431/2430, and 2500/2499. Not until <a class="wiki_link" href="/1506edo">1506</a> do we reach a division with a lower 13- or 17-limit <a class="wiki_link" href="/Tenney-Euclidean%20temperament%20measures#TE simple badness">relative error</a>, and it is the first past <a class="wiki_link" href="/72edo">72</a> with a lower 17-limit relative error. 494 is divisible by 2, 13, 19, 26, 38 and 247.<br />
| | [[Category:edo]] |
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| | [[Category:enneadecal]] |
| see also <span class="PageTitle"><a class="wiki_link" href="/Table%20of%20494edo%20intervals">Table of 494edo intervals</a></span></body></html></pre></div>
| | [[Category:kwazy]] |
| | [[Category:tricot]] |
| | [[Category:zeta]] |
The 494 equal division is a very strong 13 and 17-limit equal temperament. It is a zeta peak edo and uniquely consistent through the 17-limit. It tempers out the enneadeca, |-14 -19 19>, the tricot comma, |39 -29 3>, and the kwazy comma, |-53 10 16>, in the 5-limit. In the 7-limit, it tempers out 4375/4374 and 703125/702464; in the 11-limit 3025/3024 and 9801/9800; in the 13-limit 1716/1715, 2080/2079, 4096/4095, 4225/4224 and 6656/6655; and in the 17-limit, 1156/1155, 1275/1274, 2431/2430, and 2500/2499. Not until 1506 do we reach a division with a lower 13- or 17-limit relative error, and it is the first past 72 with a lower 17-limit relative error. 494 is divisible by 2, 13, 19, 26, 38 and 247.
see also Table of 494edo intervals