Consonant chord model of musical compositions for harmonizing melodies by a genetic algorithm.
DOI:
https://doi.org/10.15276/opu.3.56.2018.07Keywords:
genetic algorithm, fitness function, chromosome, musical composition, chord, harmony rulesAbstract
In spite of the well-developed theory for the musical compositions creation, there is a lack of
implementation of computer program methods that facilitate the work of composers. The purpose of this work is to develop a model of
musical compositions that allows using genetic algorithms for automatization the addition of chords to a well–known melody with maximum
satisfaction the rules of musical theory. A new model has been developed for representing musical compositions, which makes it possible to
increase the speed of harmonization of specified melodies by a genetic algorithm. The result is obtained due to the construction of the model
at the higher level of structural generality, compared with the well–known tonal model. The analysis of the tonal model shows the
redundancy of the definition area of the quality function for a musical composition using this model. This leads to insufficiently high speed
of melody harmonization. Limitation the definition area of the quality function by taking into account the rules of harmony for musical
composition allowed to exclude clearly inappropriate chords, which led to acceleration of harmonization with the use of the developed
consonant chord model. The obtained relations allow the transition from the chord model to the tonal model and from it to the usual musical
notation. Computer modeling of harmonization for the known melody showed higher level of harmonization by automatic methods in
comparison with the work of the composer, as well as significant acceleration of the harmonization process using the consonant chord model, compared with the tonal model. This allows us to recommend the use of the developed model in the program of automatic harmonization of
melodies. The contribution of the study to the theory of genetic algorithms is in creation of the new approach to the formation of
chromosomes and a multi-factorial quality function, which made it possible to effectively apply genetic algorithms to the task of
harmonizing music. The practical significance of the research results consists in automation of the composer work who can concentrate
entirely on the creation of a melody. The task of harmonizing the melody with chords can be assigned to a computer. In addition, the
obtained high speed of harmonization allows improving the quality of the generated melodies and their compliance with the dynamic
situations in computer games.
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