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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 05:10:34 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>238545199</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>
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| The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
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| <h4>Original Wikitext content:</h4>
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| <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]].
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| == Examples == | | == Examples == |
| ||~ interval/
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| chord ||~ lcm
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| || 7:5 || 35 ||
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| || 8:5 || 40 ||
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| || 5:6:7 || 210 ||
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| || 6:7:8 || 168 ||
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| == See also == | | {| class="wikitable center-all" |
| http://en.wikipedia.org/wiki/Least_common_multiple</pre></div>
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| <h4>Original HTML content:</h4>
| | ! Interval/chord |
| <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"><html><head><title>Least common multiple</title></head><body>The <strong>least common multiple</strong> (<strong>lcm</strong>) or its logarithm (for example <a class="wiki_link" href="/Log2">Log2</a>) can be used as a <a class="wiki_link" href="/dissonance%20measure">dissonance measure</a> for <a class="wiki_link" href="/intervals">intervals</a> and <a class="wiki_link" href="/chords">chords</a>.<br />
| | ! LCM |
| <br />
| | |- |
| <!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-Examples"></a><!-- ws:end:WikiTextHeadingRule:0 --> Examples </h2>
| | | 7:5 |
| | | 35 |
| | |- |
| | | 8:5 |
| | | 40 |
| | |- |
| | | 4:5:6 |
| | | 60 |
| | |- |
| | | 10:12:15 |
| | | 60 |
| | |- |
| | | 6:7:8 |
| | | 168 |
| | |- |
| | | 5:6:7 |
| | | 210 |
| | |} |
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| | [[Category:Interval complexity measures]] |
| | [[Category:Complexity]] |
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| <table class="wiki_table">
| | {{stub}} |
| <tr>
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| <th>interval/<br />
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| chord<br />
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| </th>
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| <th>lcm<br />
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| </th>
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| <td>7:5<br />
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| </td>
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| <td>35<br />
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| </td>
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| </tr>
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| <tr>
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| <td>8:5<br />
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| </td>
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| <td>40<br />
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| </td>
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| </tr>
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| <tr>
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| <td>5:6:7<br />
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| </td>
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| <td>210<br />
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| </td>
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| </tr>
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| <tr>
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| <td>6:7:8<br />
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| </td>
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| <td>168<br />
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| </td>
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| </tr>
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| </table>
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| <br />
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| <!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="x-See also"></a><!-- ws:end:WikiTextHeadingRule:2 --> See also </h2>
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| <!-- ws:start:WikiTextUrlRule:52:http://en.wikipedia.org/wiki/Least_common_multiple --><a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Least_common_multiple" rel="nofollow">http://en.wikipedia.org/wiki/Least_common_multiple</a><!-- ws:end:WikiTextUrlRule:52 --></body></html></pre></div>
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