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Update IntervalSets.htm
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victimofleisure committed Nov 14, 2024
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Expand Up @@ -115,7 +115,7 @@ <h2>Interval Sets</h2>
<a name="set246"></a>
<h3>Set 246 in detail</h3>

<p>This table shows the 48 permutations of set 246 along with their corresponding trichords, assuming the first trichord starts on C. The permutations are listed in counting order for clarity. The number of possible orders is 48 factorial, a mind-boggling number.
<p>This table shows the 48 permutations of set 246 along with their corresponding trichords, assuming the first trichord starts on C. The permutations are listed in counting order for clarity. The number of possible orders is 48 factorial, a gargantuan number.

<p>One reason to use interval sets is that they automatically prevent chromatic <a href="https://en.wikipedia.org/wiki/Tone_cluster">tone clusters</a>. In set 246, notice that the trichord C, Db, D can’t occur, due to the requirement to pick one note from each span, and the fact that the spans are contiguous and non-overlapping.

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