Potential applications of fuzzy logic in music

Even though the application spectrum of the fuzzy logic is quite wide, fuzzy based implementations in music are rarely encountered. In this study, we try to give the definitions of the problems in music theory; and we try to adapt fuzzy based reasoning particularly for the counterpoint problem. Despite the fact that this study is currently limited to note-against-note two-voice counterpoint technique, the approach can extended to more complicated problems of harmonization (either vocal or orchestral), improvization, and even composition.