Affiliations: Department of Electronics Engineering, Ankara University, Tandogan, Ankara, Turkey
Note: [] Corresponding author. Dr. A. Egemen Yilmaz, Department ofElectronics Engineering, Ankara University, 06100 Tandogan, Ankara, Turkey. Tel.: +90 312 203 35 00; Fax: +90 312 212 54 80; E-mails: [email protected][email protected]
Abstract: Recently, there has been a great tendency to computer aided music generation especially due to the rapid developments in technology. In this area, many researchers handled a variety of methods in order to perform this fact by taking into account some kinds of rules defined by music theory. Unfortunately, handling all these complicated rules by means of advanced methods would not be sufficient. For that reason, most of the methods and applications presented in literature were criticized to be “lacking of sprit” like contributing a human sense (for harmonization) even by the developer of that particular method. In this study, we consider the particular problem of four-part choral harmonization to overcome this issue, and try to discuss at which points fuzzy logic is applicable throughout the solution. Departing from the fact that the definition of consonance can be related to a fuzzy set, we try to handle the harmonization problem by defining some mathematical operators on the fuzzy sets encountered.
Keywords: Music theory, choral harmonization, fuzzy logic, fuzzy sets
