Least common multiple: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
The '''least common multiple''' ('''lcm''') or its logarithm (for example [[log2|Log2]]) can be used as a [[dissonance_measure|dissonance measure]] for [[intervals|intervals]] and [[Chords|chords]].
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:guest|guest]] and made on <tt>2012-05-21 18:15:04 UTC</tt>.<br>
: The original revision id was <tt>338078884</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>
<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** (**lcm**) or its logarithm (for example [[Log2]]) can be used as a [[dissonance measure]] for [[intervals]] and [[chords]].


==Examples==  
==Examples==
||~ interval/
chord ||~ lcm ||
|| 7:5 || 35 ||
|| 8:5 || 40 ||
|| 5:6:7 || 210 ||
|| 6:7:8 || 168 ||


==See also==
{| class="wikitable"
http://en.wikipedia.org/wiki/Least_common_multiple</pre></div>
|-
<h4>Original HTML content:</h4>
! | interval/
<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; (&lt;strong&gt;lcm&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; for &lt;a class="wiki_link" href="/intervals"&gt;intervals&lt;/a&gt; and &lt;a class="wiki_link" href="/chords"&gt;chords&lt;/a&gt;.&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-Examples"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Examples&lt;/h2&gt;


&lt;table class="wiki_table"&gt;
chord
    &lt;tr&gt;
! | lcm
        &lt;th&gt;interval/&lt;br /&gt;
|-
chord&lt;br /&gt;
| | 7:5
&lt;/th&gt;
| | 35
        &lt;th&gt;lcm&lt;br /&gt;
|-
&lt;/th&gt;
| | 8:5
    &lt;/tr&gt;
| | 40
    &lt;tr&gt;
|-
        &lt;td&gt;7:5&lt;br /&gt;
| | 5:6:7
&lt;/td&gt;
| | 210
        &lt;td&gt;35&lt;br /&gt;
|-
&lt;/td&gt;
| | 6:7:8
    &lt;/tr&gt;
| | 168
    &lt;tr&gt;
|}
        &lt;td&gt;8:5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;40&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5:6:7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;210&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;6:7:8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;168&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;


&lt;br /&gt;
==See also==
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="x-See also"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;See also&lt;/h2&gt;
[http://en.wikipedia.org/wiki/Least_common_multiple http://en.wikipedia.org/wiki/Least_common_multiple]      [[Category:consonance]]
&lt;!-- ws:start:WikiTextUrlRule:54: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:54 --&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
[[Category:dissonance]]
[[Category:harmonic_entropy]]

Revision as of 00:00, 17 July 2018

The least common multiple (lcm) or its logarithm (for example Log2) can be used as a dissonance measure for intervals and chords.

Examples

interval/

chord

lcm
7:5 35
8:5 40
5:6:7 210
6:7:8 168

See also

http://en.wikipedia.org/wiki/Least_common_multiple