The present paper, integrating a broad research project intended to systematically study musical variation, presents two kinds of strategies employed in population control of derived forms produced in a computational complex. Both strategies are based on the principle of artificial selection, originated from Charles Darwin’s Theory of Evolution (Darwin, 1859/1872). Initially commenting on the conception of organic musical creation that provided the theoretical basis for the research and a brief description of four computational programs elaborated for systematical production of variants from a basic musical cell, the study presents the concept of artificial selection and its adaptation to musical context. It is followed by details of the two selection strategies´ recent implementation in the system. The paper concludes with a discussion on the results obtained in the current stage of implementation.