193edo: Difference between revisions
Wikispaces>Andrew_Heathwaite **Imported revision 288887431 - Original comment: ** |
Wikispaces>Osmiorisbendi **Imported revision 327192704 - Original comment: ** |
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<h2>IMPORTED REVISION FROM WIKISPACES</h2> | <h2>IMPORTED REVISION FROM WIKISPACES</h2> | ||
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | ||
: This revision was by author [[User: | : This revision was by author [[User:Osmiorisbendi|Osmiorisbendi]] and made on <tt>2012-04-30 03:26:54 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>327192704</tt>.<br> | ||
: The revision comment was: <tt></tt><br> | : 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> | 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> | <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">=<span style="color: #003838; font-family: | <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">=<span style="color: #003838; font-family: "Times New Roman",Times,serif; font-size: 113%;">193 tone equal temperament</span>= | ||
The //193-EDO// divides the octave into 193 equal parts of 6.21762 cents each. It provides the [[optimal patent val]] for [[Kleismic family#Sqrtphi|sqrtphi temperament]] in the 13-, 17- and 19-limits, and for 13-limit [[Swetismic temperaments#Minos-13-limit|minos]] and [[Mirkwai family#Indra-Vish|vish]] temperaments. | The //193-EDO// divides the octave into 193 equal parts of 6.21762 cents each. It provides the [[optimal patent val]] for [[Kleismic family#Sqrtphi|sqrtphi temperament]] in the 13-, 17- and 19-limits, and for 13-limit [[Swetismic temperaments#Minos-13-limit|minos]] and [[Mirkwai family#Indra-Vish|vish]] temperaments. | ||
Approximation of the intervals: | Approximation of the intervals: | ||
Square root of Pi: **159\193** (988.60104 cents), and | Square root of Pi: **159\193** (988.60104 cents), and | ||
Phi: **134\193** (833.16062 cents), both inside | Phi: **134\193** (833.16062 cents), both inside in the [[7L 2s|superdiatonic]] scale: 25 25 25 9 25 25 25 25 9 | ||
193edo is the 44th [[prime numbers|prime]] edo.</pre></div> | 193edo is the 44th [[prime numbers|prime]] edo.</pre></div> | ||
<h4>Original HTML content:</h4> | <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>193edo</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x193 tone equal temperament"></a><!-- ws:end:WikiTextHeadingRule:0 --><span style="color: #003838; font-family: | <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>193edo</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x193 tone equal temperament"></a><!-- ws:end:WikiTextHeadingRule:0 --><span style="color: #003838; font-family: "Times New Roman",Times,serif; font-size: 113%;">193 tone equal temperament</span></h1> | ||
The <em>193-EDO</em> divides the octave into 193 equal parts of 6.21762 cents each. It provides the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for <a class="wiki_link" href="/Kleismic%20family#Sqrtphi">sqrtphi temperament</a> in the 13-, 17- and 19-limits, and for 13-limit <a class="wiki_link" href="/Swetismic%20temperaments#Minos-13-limit">minos</a> and <a class="wiki_link" href="/Mirkwai%20family#Indra-Vish">vish</a> temperaments.<br /> | The <em>193-EDO</em> divides the octave into 193 equal parts of 6.21762 cents each. It provides the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for <a class="wiki_link" href="/Kleismic%20family#Sqrtphi">sqrtphi temperament</a> in the 13-, 17- and 19-limits, and for 13-limit <a class="wiki_link" href="/Swetismic%20temperaments#Minos-13-limit">minos</a> and <a class="wiki_link" href="/Mirkwai%20family#Indra-Vish">vish</a> temperaments.<br /> | ||
<br /> | <br /> | ||
Approximation of the intervals:<br /> | Approximation of the intervals:<br /> | ||
Square root of Pi: <strong>159\193</strong> (988.60104 cents), and<br /> | Square root of Pi: <strong>159\193</strong> (988.60104 cents), and<br /> | ||
Phi: <strong>134\193</strong> (833.16062 cents), both inside | Phi: <strong>134\193</strong> (833.16062 cents), both inside in the <a class="wiki_link" href="/7L%202s">superdiatonic</a> scale: 25 25 25 9 25 25 25 25 9<br /> | ||
<br /> | <br /> | ||
193edo is the 44th <a class="wiki_link" href="/prime%20numbers">prime</a> edo.</body></html></pre></div> | 193edo is the 44th <a class="wiki_link" href="/prime%20numbers">prime</a> edo.</body></html></pre></div> | ||