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Figure 17. Automated motivic analysis of J.S. Bach's Invention in D minor BWV 775, first 14 bars. The rep-
resentation of the motives follows the convention adopted in the previous figure. The motives for each voice
are shown below the respective staves. The class of each motive is indicated on the left side of the lines.
solved errors in the modeling process, but also
shows the necessity of taking into account other
heuristics. Finally, in order to obtain the com-
pact representation displayed in Figure 17, some
manual ordering of the computational results was
required. For more results, see Lartillot (2005b)
and Lartillot and Toiviainen (2007).
position of each pattern in the bar structure, and
would, in particular cases, force pattern occur-
rences to conserve the same metrical informa-
tion. The model also includes evident structural
configurations, such as the oscillations between
ascending and descending contour, and other
patterns that are mostly redundant descriptions
incorrectly filtered. This results partly from un-
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