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**Imported revision 247861933 - Original comment: **
Wikispaces>guest
**Imported revision 313590874 - Original comment: merge**
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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:xenwolf|xenwolf]] and made on <tt>2011-08-23 03:11:13 UTC</tt>.<br>
: This revision was by author [[User:guest|guest]] and made on <tt>2012-03-22 11:02:17 UTC</tt>.<br>
: The original revision id was <tt>247861933</tt>.<br>
: The original revision id was <tt>313590874</tt>.<br>
: The revision comment was: <tt></tt><br>
: The revision comment was: <tt>merge</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">**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.
<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">**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]] to the base 1200th root of 2.
The [[http://en.wikipedia.org/wiki/Cent_%28music%29|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]] to the base 1200th root of 2.


=How to calculate=
=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 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:
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 &lt;span style="background-color: #d4c2c2;padding:2px 4px; margin: 0px 6px"&gt;ln&lt;/span&gt; &lt;span style="background-color: #d4c2c2;padding:2px 4px; margin: 0px 6px"&gt;÷&lt;/span&gt; &lt;span style="background-color: #d4c2c2;padding:2px 4px; margin: 0px 6px"&gt;2&lt;/span&gt; &lt;span style="background-color: #d4c2c2;padding:2px 4px; margin: 0px 6px"&gt;ln&lt;/span&gt; (the //ln// key can also be replaced by the //log// key)
After input your number, press &lt;span style="background-color: #d4c2c2; margin: 0px 6px; padding: 2px 4px;"&gt;ln ÷ 2 ln&lt;/span&gt; (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 &lt;span style="background-color: #d4c2c2;padding:2px 4px; margin: 0px 6px"&gt;=&lt;/span&gt; after the division.//
//Note: If you try to calculate the size of a ratio in cents, don't forget the &lt;span style="background-color: #d4c2c2; margin: 0px 6px; padding: 2px 4px;"&gt;=&lt;/span&gt; after the division.//


=See also=
=See also=  
An alternative interval measure is the [[millioctave]] ([[mO]]).</pre></div>
An alternative interval measure is the [[millioctave]] ([[mO]]).
 
see also [[Cents]]</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">&lt;html&gt;&lt;head&gt;&lt;title&gt;cent&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;Cent&lt;/strong&gt; (&lt;strong&gt;¢&lt;/strong&gt;) is an &lt;a class="wiki_link" href="/interval%20size%20measure"&gt;interval size measure&lt;/a&gt;. It's a 100th--or one percent--of the interval between two neighboring pitches in &lt;a class="wiki_link" href="/12edo"&gt;12edo&lt;/a&gt;. A generalization for the cent measure is the &lt;strong&gt;&lt;a class="wiki_link" href="/relative%20cent"&gt;relative cent&lt;/a&gt;&lt;/strong&gt; which is one 100th of two neigbhboring &lt;a class="wiki_link" href="/pitch"&gt;pitches&lt;/a&gt; in any &lt;a class="wiki_link" href="/equal"&gt;equal&lt;/a&gt; tuning.&lt;br /&gt;
<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">&lt;html&gt;&lt;head&gt;&lt;title&gt;cent&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;Cent&lt;/strong&gt; (&lt;strong&gt;¢&lt;/strong&gt;) is an &lt;a class="wiki_link" href="/interval%20size%20measure"&gt;interval size measure&lt;/a&gt;. It's a 100th--or one percent--of the interval between two neighboring pitches in &lt;a class="wiki_link" href="/12edo"&gt;12edo&lt;/a&gt;. A generalization for the cent measure is the &lt;strong&gt;&lt;a class="wiki_link" href="/relative%20cent"&gt;relative cent&lt;/a&gt;&lt;/strong&gt; which is one 100th of two neigbhboring &lt;a class="wiki_link" href="/pitch"&gt;pitches&lt;/a&gt; in any &lt;a class="wiki_link" href="/equal"&gt;equal&lt;/a&gt; tuning.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The &lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Cent_(music)" rel="nofollow"&gt;cent&lt;/a&gt;, first proposed by &lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Alexander_J._Ellis" rel="nofollow"&gt;Alexander Ellis&lt;/a&gt;, is a logarithmic measure which may also be defined as the &lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Logarithm" rel="nofollow"&gt;logarithm&lt;/a&gt; to the base 1200th root of 2.&lt;br /&gt;
The &lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Cent_%28music%29" rel="nofollow"&gt;cent&lt;/a&gt;, first proposed by &lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Alexander_J._Ellis" rel="nofollow"&gt;Alexander Ellis&lt;/a&gt;, is a logarithmic measure which may also be defined as the &lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Logarithm" rel="nofollow"&gt;logarithm&lt;/a&gt; to the base 1200th root of 2.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="How to calculate"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;How to calculate&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="How to calculate"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;How to calculate&lt;/h1&gt;
If you want to get the size of an interval in cents, you have to calculate the &lt;a class="wiki_link" href="/log2"&gt;binary logarithm&lt;/a&gt; of its &lt;a class="wiki_link" href="/frequency%20ratio"&gt;frequency ratio&lt;/a&gt;, and multiply it by 1200.&lt;br /&gt;
If you want to get the size of an interval in cents, you have to calculate the &lt;a class="wiki_link" href="/log2"&gt;binary logarithm&lt;/a&gt; of its &lt;a class="wiki_link" href="/frequency%20ratio"&gt;frequency ratio&lt;/a&gt;, and multiply it by 1200.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
If you use a pocket calculator, you don't have a &lt;em&gt;log2&lt;/em&gt; key on it, but you can get it this way:&lt;br /&gt;
If you use a pocket calculator, you don't have a &lt;em&gt;log2&lt;/em&gt; key on it, but you can get it this way:&lt;br /&gt;
After input your number, press &lt;span style="background-color: #d4c2c2;padding:2px 4px; margin: 0px 6px"&gt;ln&lt;/span&gt; &lt;span style="background-color: #d4c2c2;padding:2px 4px; margin: 0px 6px"&gt;÷&lt;/span&gt; &lt;span style="background-color: #d4c2c2;padding:2px 4px; margin: 0px 6px"&gt;2&lt;/span&gt; &lt;span style="background-color: #d4c2c2;padding:2px 4px; margin: 0px 6px"&gt;ln&lt;/span&gt; (the &lt;em&gt;ln&lt;/em&gt; key can also be replaced by the &lt;em&gt;log&lt;/em&gt; key)&lt;br /&gt;
After input your number, press &lt;span style="background-color: #d4c2c2; margin: 0px 6px; padding: 2px 4px;"&gt;ln ÷ 2 ln&lt;/span&gt; (the &lt;em&gt;ln&lt;/em&gt; key can also be replaced by the &lt;em&gt;log&lt;/em&gt; key)&lt;br /&gt;
&lt;em&gt;Note: If you try to calculate the size of a ratio in cents, don't forget the &lt;span style="background-color: #d4c2c2;padding:2px 4px; margin: 0px 6px"&gt;=&lt;/span&gt; after the division.&lt;/em&gt;&lt;br /&gt;
&lt;em&gt;Note: If you try to calculate the size of a ratio in cents, don't forget the &lt;span style="background-color: #d4c2c2; margin: 0px 6px; padding: 2px 4px;"&gt;=&lt;/span&gt; after the division.&lt;/em&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="See also"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;See also&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="See also"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;See also&lt;/h1&gt;
An alternative interval measure is the &lt;a class="wiki_link" href="/millioctave"&gt;millioctave&lt;/a&gt; (&lt;a class="wiki_link" href="/mO"&gt;mO&lt;/a&gt;).&lt;/body&gt;&lt;/html&gt;</pre></div>
An alternative interval measure is the &lt;a class="wiki_link" href="/millioctave"&gt;millioctave&lt;/a&gt; (&lt;a class="wiki_link" href="/mO"&gt;mO&lt;/a&gt;).&lt;br /&gt;
&lt;br /&gt;
see also &lt;a class="wiki_link" href="/Cents"&gt;Cents&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 11:02, 22 March 2012

IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author guest and made on 2012-03-22 11:02:17 UTC.
The original revision id was 313590874.
The revision comment was: merge

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

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_%28music%29|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]] to the base 1200th root of 2.

=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; margin: 0px 6px; padding: 2px 4px;">ln ÷ 2 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; margin: 0px 6px; padding: 2px 4px;">=</span> after the division.//

=See also= 
An alternative interval measure is the [[millioctave]] ([[mO]]).

see also [[Cents]]

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_%28music%29" 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> to the base 1200th root of 2.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><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; margin: 0px 6px; padding: 2px 4px;">ln ÷ 2 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; margin: 0px 6px; padding: 2px 4px;">=</span> after the division.</em><br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><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>).<br />
<br />
see also <a class="wiki_link" href="/Cents">Cents</a></body></html>