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 Detecting Meter in Recorded Music
the periodic subspaces Pp are not orthogonal to each other. Therefore, the representation of an arbitrary signal s as a linear combination of the basis elements is not unique. Furthermore, there is not a unique order to choose projection onto periodic subspaces, since dif...
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the periodic subspaces Pp are not orthogonal to each other. Therefore, the representation of an arbitrary signal s as a linear combination of the basis elements is not unique. Furthermore, there is not a unique order to choose projection onto periodic subspaces, since different orders may yield different results. 4.4. Algorithms. At the heart of the PT is its ability to choose among these subspaces and determine the most relevant order in which to project. Sethares and Staley have proposed the Small-to-Large
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http://www.sju.edu/~rhall/Rhythms/banff.pdf#page=5
www.sju.edu/~rhall/Rhythms/banff.pdf#page=5
the periodic subspaces Pp are not <span class="highlight">orthogonal</span> <span class="highlight">to</span> each other. Therefore, the representation of <span class="highlight">an</span> arbitrary signal s as a linear combination of the basis elements is not unique. Furthermore, there is not a unique order <span class="highlight">to</span> choose projection onto periodic subspaces, since different orders may yield different results. 4.4. Algorithms. At the heart of the PT is its ability <span class="highlight">to</span> choose among these subspaces and determine the most relevant order in which <span class="highlight">to</span> project. Sethares and Staley have proposed the Small-<span class="highlight">to</span>-Large
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