An expert system for harmonizing four-part chorales
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In this paper we consider the musical problem called unfigured bass harmonization: a bass line is given and the composer has to write other 3 voices to have a complete 4-voice piece of music with a 4-note chord for each bass note. Solving such a problem means finding appropriate chords to use for each bass note and also find a placement of the four notes within each chord so that melodic concerns are addressed, especially for the highest voice (soprano). We present a multi-objective genetic algorithm that automatically composes music when provided with a bass line input. The objectives considered are two: the harmonic objective (finding appropriate chords) and the melodic objective (find good melodic lines).