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The development of a pre-compositional model is proposed in this study based on two systems with two design perspectives: Schoenberg's Serialism and Perle's Twelve-Tone Tonality (from now on TTT). Schoenberg's perspective reveals a linear design where the set has functions like those of a motive; on the other hand, Perle's design result in harmonic simultaneities based on symmetric cycles. The authors propose a model for 12-tone composition that assumes an interactive approach between the horizontal and the vertical statements toward a new pre-compositional system based on geometrical and symmetrical issues. This model is being implemented in PWGL for Computer Aided Composition (CAC) in order to assist the extrapolation of the Motivic/Harmonic fundamental requirements of the model. Finally, the empiric outcome produced in the form of musical composition was analyzed, although not presented in its entirety in the scope of this paper.