deletions | additions       diff --git a/Components2.tex b/Components2.tex  index d5f30e2..1a9cbfa 100644  --- a/Components2.tex  +++ b/Components2.tex 
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\textbf{Components} \section{Introduction}  \begin{itemize}  \item Grab songs (Beatles, Billboard charts, etc.)  \item Run automatic chord extraction  \item Calculate optimal local sequence alignment We want to compare harmonic similarity  between every pair of 2  songs in all 12 transpositions an efficient manner  \item Problems:  \begin{itemize}  \item Define distance between two chords (Harte distance)  \item Set gap costs Ground-truth data takes too long to collect (~12-19 mins per person, over an hour in complex music, human error)  \end{itemize}  \item Visualize results Turn to music information retrieval research  \item Devise synthetic test cases Contest hosted yearly  to determine if results align with human perception of find best chord retrieval algorithms (~80% correct identification rate)  \item Using these models, can we compare  harmonic similarity progressions in a manner that accounts for inaccuracies and performs well despite this  \end{itemize}