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The algorithmic composition models used in the domain of systems generating music compositions are presented in the paper. Moreover, the model based on the transition matrix of music events (music patterns described by notes, measures and durations) and classification of the instrumental parts appearing in the input music work is presented. An exemplary implementation of the model is described using MIDI Toolbox implemented in Matlab. In the summary possible extensions of the presented model are described as well as the place of system functioning results in the form of output music compositions are indicated.