Relative cent: Difference between revisions

Wikispaces>xenwolf
**Imported revision 236658560 - Original comment: **
Wikispaces>xenwolf
**Imported revision 239300435 - Original comment: **
Line 1: Line 1:
<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>2011-06-14 16:22:39 UTC</tt>.<br>
: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2011-06-29 07:53:58 UTC</tt>.<br>
: The original revision id was <tt>236658560</tt>.<br>
: The original revision id was <tt>239300435</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">**Relative cent** (**rct**, **r¢**) is a logarithmic [[interval measure]] based on a given [[equal]]-stepped tonal system. Its size is 1 percent of the distance between adjacent pitches.
<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">**Relative cent** (**rct**, **r¢**) is a logarithmic [[interval size measure]] based on a given [[equal]]-stepped tonal system. Its size is 1 percent of the distance between adjacent pitches.


Given any N [[EDO]], the size of an interval in //relative cents// is N/12 times its size in [[Cent|cents]]; or equivalently, 100 N times its logarithm base 2. Hence in [[7edo]], the octave is 700 relative cents, in [[53edo]], 53000 relative cents and so forth.
Given any N [[EDO]], the size of an interval in //relative cents// is N/12 times its size in [[Cent|cents]]; or equivalently, 100 N times its logarithm base 2. Hence in [[7edo]], the octave is 700 relative cents, in [[53edo]], 53000 relative cents and so forth.
Line 17: Line 17:
//...also the term [[centidegree]] was suggested, but this seems to be used already as a unit for temperature.//</pre></div>
//...also the term [[centidegree]] was suggested, but this seems to be used already as a unit for temperature.//</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;Relative cent&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;Relative cent&lt;/strong&gt; (&lt;strong&gt;rct&lt;/strong&gt;, &lt;strong&gt;r¢&lt;/strong&gt;) is a logarithmic &lt;a class="wiki_link" href="/interval%20measure"&gt;interval measure&lt;/a&gt; based on a given &lt;a class="wiki_link" href="/equal"&gt;equal&lt;/a&gt;-stepped tonal system. Its size is 1 percent of the distance between adjacent pitches.&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;Relative cent&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;Relative cent&lt;/strong&gt; (&lt;strong&gt;rct&lt;/strong&gt;, &lt;strong&gt;r¢&lt;/strong&gt;) is a logarithmic &lt;a class="wiki_link" href="/interval%20size%20measure"&gt;interval size measure&lt;/a&gt; based on a given &lt;a class="wiki_link" href="/equal"&gt;equal&lt;/a&gt;-stepped tonal system. Its size is 1 percent of the distance between adjacent pitches.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Given any N &lt;a class="wiki_link" href="/EDO"&gt;EDO&lt;/a&gt;, the size of an interval in &lt;em&gt;relative cents&lt;/em&gt; is N/12 times its size in &lt;a class="wiki_link" href="/Cent"&gt;cents&lt;/a&gt;; or equivalently, 100 N times its logarithm base 2. Hence in &lt;a class="wiki_link" href="/7edo"&gt;7edo&lt;/a&gt;, the octave is 700 relative cents, in &lt;a class="wiki_link" href="/53edo"&gt;53edo&lt;/a&gt;, 53000 relative cents and so forth.&lt;br /&gt;
Given any N &lt;a class="wiki_link" href="/EDO"&gt;EDO&lt;/a&gt;, the size of an interval in &lt;em&gt;relative cents&lt;/em&gt; is N/12 times its size in &lt;a class="wiki_link" href="/Cent"&gt;cents&lt;/a&gt;; or equivalently, 100 N times its logarithm base 2. Hence in &lt;a class="wiki_link" href="/7edo"&gt;7edo&lt;/a&gt;, the octave is 700 relative cents, in &lt;a class="wiki_link" href="/53edo"&gt;53edo&lt;/a&gt;, 53000 relative cents and so forth.&lt;br /&gt;