Monzos and interval space: Difference between revisions
Wikispaces>genewardsmith **Imported revision 419046012 - Original comment: Reverted to Mar 27, 2013 1:45 am: spam** |
Wikispaces>hstraub **Imported revision 445082306 - 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:hstraub|hstraub]] and made on <tt>2013-08-16 06:03:07 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>445082306</tt>.<br> | ||
: The revision comment was: <tt> | : 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">=Definition:= | <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="display: block; text-align: right;">Other languages: [[xenharmonie/Intervallraum|Deutsch]] | ||
</span> | |||
=Definition:= | |||
A [[Harmonic Limit|p-limit]] rational number q can by definition be factored into primes of size less than or equal to p, giving | A [[Harmonic Limit|p-limit]] rational number q can by definition be factored into primes of size less than or equal to p, giving | ||
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The TE norm is therefore | The TE norm is therefore | ||
[[math]] | [[math]] | ||
\sqrt{(4^2 + log2(3)^2 + log2(5)^2)} | \sqrt{(4^2 + log2(3)^2 + log2(5)^2)} ≅ \sqrt{23.903} ≅ 4.889. | ||
[[math]] | [[math]] | ||
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//see also [[Fractional monzos]], [[Vals and Tuning Space]]...//</pre></div> | //see also [[Fractional monzos]], [[Vals and Tuning Space]]...//</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>Monzos and Interval Space</title></head><body><!-- ws:start:WikiTextHeadingRule:7:&lt;h1&gt; --><h1 id="toc0"><a name="Definition:"></a><!-- ws:end:WikiTextHeadingRule:7 -->Definition:</h1> | <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>Monzos and Interval Space</title></head><body><span style="display: block; text-align: right;">Other languages: <a class="wiki_link" href="http://xenharmonie.wikispaces.com/Intervallraum">Deutsch</a><br /> | ||
</span><br /> | |||
<!-- ws:start:WikiTextHeadingRule:7:&lt;h1&gt; --><h1 id="toc0"><a name="Definition:"></a><!-- ws:end:WikiTextHeadingRule:7 -->Definition:</h1> | |||
<br /> | <br /> | ||
A <a class="wiki_link" href="/Harmonic%20Limit">p-limit</a> rational number q can by definition be factored into primes of size less than or equal to p, giving<br /> | A <a class="wiki_link" href="/Harmonic%20Limit">p-limit</a> rational number q can by definition be factored into primes of size less than or equal to p, giving<br /> | ||
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[[math]]&lt;br/&gt; | [[math]]&lt;br/&gt; | ||
\sqrt{(4^2 + log2(3)^2 + log2(5)^2)} | \sqrt{(4^2 + log2(3)^2 + log2(5)^2)} ≅ \sqrt{23.903} ≅ 4.889.&lt;br /&gt; | ||
&lt;br/&gt;[[math]] | &lt;br/&gt;[[math]] | ||
--><script type="math/tex">\sqrt{(4^2 + log2(3)^2 + log2(5)^2)} | --><script type="math/tex">\sqrt{(4^2 + log2(3)^2 + log2(5)^2)} ≅ \sqrt{23.903} ≅ 4.889. | ||
</script><!-- ws:end:WikiTextMathRule:6 --><br /> | </script><!-- ws:end:WikiTextMathRule:6 --><br /> | ||
<br /> | <br /> | ||
<em>see also <a class="wiki_link" href="/Fractional%20monzos">Fractional monzos</a>, <a class="wiki_link" href="/Vals%20and%20Tuning%20Space">Vals and Tuning Space</a>...</em></body></html></pre></div> | <em>see also <a class="wiki_link" href="/Fractional%20monzos">Fractional monzos</a>, <a class="wiki_link" href="/Vals%20and%20Tuning%20Space">Vals and Tuning Space</a>...</em></body></html></pre></div> | ||