This article describes a specific aspect of a broad research project which aims at realization of analytical and compositional approaches theoretically based on the principles of Grundgestalt and developing variation, both elaborated by Arnold Schoenberg. The present study introduces a group of four complementary and sequential modules modeled as genetic algorithms (forming the geneMus complex), employed for the systematical production of variants from a basic musical cell. The description of the interaction and functioning of the four modules is followed by examples of their application in the whole process.