|
|
| (10 intermediate revisions by 7 users not shown) |
| Line 1: |
Line 1: |
| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | {{Infobox ET}} |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| | {{ED intro}} |
| : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-07-14 00:08:43 UTC</tt>.<br>
| | |
| : The original revision id was <tt>241280361</tt>.<br>
| | 703edo is only [[consistent]] to the [[5-odd-limit]] since [[harmonic]] [[7/1|7]] is about halfway between its steps. It [[tempering out|tempers out]] the [[enneadeca]], {{monzo| -14 -19 19 }} in the 5-limit. |
| : The revision comment was: <tt></tt><br>
| | |
| The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
| | In the 7-limit, the [[patent val]] {{val| 703 1114 1632 '''1974''' }} and the 703d [[val]] {{val| 703 1114 1632 '''1973''' }} may be worth considering. |
| <h4>Original Wikitext content:</h4>
| | |
| <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 //703 equal division// divides the octave into 703 equal parts of 1.707 cents each. 703 = 19 * 37, and 703 tempers out the enneadeca, the 19-comma, |-14 -19 19>. In the 7-limit it tempers out 16875/16807 and 65635/65536 and in the 11-limit 1375/1372, 540/539 and 3025/3024, so that it supports and gives the [[optimal patent val]] in [[Mirkwai family|indra temperament]] and [[Mirkwai clan#Eris|eris temperament]]. </pre></div>
| | Using the patent val, it tempers out [[16875/16807]] and [[65625/65536]] and in the 11-limit 1375/1372, [[540/539]] and [[3025/3024]], so that it [[support]]s and gives the [[optimal patent val]] for [[indra]] and [[eris]]. In the 13-limit, it tempers out [[729/728]], [[2080/2079]] and [[6656/6655]], and provides the optimal patent val for [[shibi]]. |
| <h4>Original HTML content:</h4>
| | |
| <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>703edo</title></head><body>The <em>703 equal division</em> divides the octave into 703 equal parts of 1.707 cents each. 703 = 19 * 37, and 703 tempers out the enneadeca, the 19-comma, |-14 -19 19&gt;. In the 7-limit it tempers out 16875/16807 and 65635/65536 and in the 11-limit 1375/1372, 540/539 and 3025/3024, so that it supports and gives the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> in <a class="wiki_link" href="/Mirkwai%20family">indra temperament</a> and <a class="wiki_link" href="/Mirkwai%20clan#Eris">eris temperament</a>.</body></html></pre></div>
| | The alternative 703d [[val]] tempers out [[4375/4374]] and [[703125/702464]], supporting 7-limit [[enneadecal]]. |
| | |
| | === Odd harmonics === |
| | {{Harmonics in equal|703}} |
| | |
| | === Subsets and supersets === |
| | Since 703 factors into {{factorization|703}}, 703edo contains [[19edo]] and [[37edo]] as subsets. |