Cent
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- This revision was by author xenwolf and made on 2011-08-23 03:10:03 UTC.
- The original revision id was 247861815.
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Original Wikitext content:
**Cent** (**¢**) is an [[interval size measure]]. It's a 100th--or one percent--of the interval between two neighboring pitches in [[12edo]]. A generalization for the cent measure is the **[[relative cent]]** which is one 100th of two neigbhboring [[pitch|pitches]] in any [[equal]] tuning. The [[http://en.wikipedia.org/wiki/Cent_(music)|cent]], first proposed by [[http://en.wikipedia.org/wiki/Alexander_J._Ellis|Alexander Ellis]], is a logarithmic measure which may also be defined as the [[http://en.wikipedia.org/wiki/Logarithm|logarithm]] base the 1200th root of 2 of a ratio, which is by definition one cent. =How to calculate= If you want to get the size of an interval in cents, you have to calculate the [[log2|binary logarithm]] of its [[frequency ratio]], and multiply it by 1200. If you use a pocket calculator, you don't have a //log2// key on it, but you can get it this way: After input your number, press <span style="background-color: #d4c2c2;padding:2px 4px; margin: 0px 6px">ln</span> <span style="background-color: #d4c2c2;padding:2px 4px; margin: 0px 6px">÷</span> <span style="background-color: #d4c2c2;padding:2px 4px; margin: 0px 6px">2</span> <span style="background-color: #d4c2c2;padding:2px 4px; margin: 0px 6px">ln</span> (the //ln// key can also be replaced by the //log// key) //Note: If you try to calculate the size of a ratio in cents, don't forget the <span style="background-color: #d4c2c2;padding:2px 4px; margin: 0px 6px">=</span> after the division.// =See also= An alternative interval measure is the [[millioctave]] ([[mO]]).
Original HTML content:
<html><head><title>cent</title></head><body><strong>Cent</strong> (<strong>¢</strong>) is an <a class="wiki_link" href="/interval%20size%20measure">interval size measure</a>. It's a 100th--or one percent--of the interval between two neighboring pitches in <a class="wiki_link" href="/12edo">12edo</a>. A generalization for the cent measure is the <strong><a class="wiki_link" href="/relative%20cent">relative cent</a></strong> which is one 100th of two neigbhboring <a class="wiki_link" href="/pitch">pitches</a> in any <a class="wiki_link" href="/equal">equal</a> tuning.<br /> <br /> The <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Cent_(music)" rel="nofollow">cent</a>, first proposed by <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Alexander_J._Ellis" rel="nofollow">Alexander Ellis</a>, is a logarithmic measure which may also be defined as the <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Logarithm" rel="nofollow">logarithm</a> base the 1200th root of 2 of a ratio, which is by definition one cent.<br /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="How to calculate"></a><!-- ws:end:WikiTextHeadingRule:0 -->How to calculate</h1> If you want to get the size of an interval in cents, you have to calculate the <a class="wiki_link" href="/log2">binary logarithm</a> of its <a class="wiki_link" href="/frequency%20ratio">frequency ratio</a>, and multiply it by 1200.<br /> <br /> If you use a pocket calculator, you don't have a <em>log2</em> key on it, but you can get it this way:<br /> After input your number, press <span style="background-color: #d4c2c2;padding:2px 4px; margin: 0px 6px">ln</span> <span style="background-color: #d4c2c2;padding:2px 4px; margin: 0px 6px">÷</span> <span style="background-color: #d4c2c2;padding:2px 4px; margin: 0px 6px">2</span> <span style="background-color: #d4c2c2;padding:2px 4px; margin: 0px 6px">ln</span> (the <em>ln</em> key can also be replaced by the <em>log</em> key)<br /> <em>Note: If you try to calculate the size of a ratio in cents, don't forget the <span style="background-color: #d4c2c2;padding:2px 4px; margin: 0px 6px">=</span> after the division.</em><br /> <br /> <!-- ws:start:WikiTextHeadingRule:2:<h1> --><h1 id="toc1"><a name="See also"></a><!-- ws:end:WikiTextHeadingRule:2 -->See also</h1> An alternative interval measure is the <a class="wiki_link" href="/millioctave">millioctave</a> (<a class="wiki_link" href="/mO">mO</a>).</body></html>