Least common multiple: Difference between revisions

Wikispaces>xenwolf
**Imported revision 238544449 - Original comment: **
 
m Simplify Wikipedia template
 
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
{{Wikipedia}}
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
The '''least common multiple''' ('''LCM''') or its logarithm (for example [[log2]]) can be used as a [[complexity]] measure for [[interval]]s and [[chord]]s.
: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2011-06-24 04:59:17 UTC</tt>.<br>
In terms of harmonic series, it represents the location of the first shared harmonic between all of the notes.
: The original revision id was <tt>238544449</tt>.<br>
Note that, for dyads, this is the same as [[Benedetti height]], since a ratio in lowest terms has no shared factors between its numerator and denominator.
: 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>
<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">The **least common multiple** or its logarithm (for example [[Log2]]) can be used as a [[dissonance measure]].


http://en.wikipedia.org/wiki/Least_common_multiple</pre></div>
== Examples ==
<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;Least common multiple&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The &lt;strong&gt;least common multiple&lt;/strong&gt; or its logarithm (for example &lt;a class="wiki_link" href="/Log2"&gt;Log2&lt;/a&gt;) can be used as a &lt;a class="wiki_link" href="/dissonance%20measure"&gt;dissonance measure&lt;/a&gt;.&lt;br /&gt;
{| class="wikitable center-all"
&lt;br /&gt;
|-
&lt;!-- ws:start:WikiTextUrlRule:4:http://en.wikipedia.org/wiki/Least_common_multiple --&gt;&lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Least_common_multiple" rel="nofollow"&gt;http://en.wikipedia.org/wiki/Least_common_multiple&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:4 --&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
! Interval/chord
! LCM
|-
| 7:5
| 35
|-
| 8:5
| 40
|-
| 4:5:6
| 60
|-
| 10:12:15
| 60
|-
| 6:7:8
| 168
|-
| 5:6:7
| 210
|}
 
[[Category:Interval complexity measures]]
[[Category:Complexity]]
 
{{stub}}