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Algorithmic composition has been helping to understand and develop the mathematical field of music theory for over a century. It is a form of musical innovation, facilitating learning and expanding composition techniques. Some computers have been trying to imitate human action over time. A major challenge is to implement creativity in a machine. This work describes how to compose blues solos using Markovian models, simulating creativity in a computer, with the aim of getting as close as possible to human creativity.