**Abstract:** This paper introduces Hyper-Generative Motif Interaction Networks (HGINs), a novel compositional framework leveraging hyperdimensional computing, recurrent generative adversarial networks (RecGANs), and advanced pattern analysis to generate original musical pieces deeply rooted in the aesthetic principles of Korean Gugak (traditional music). Unlike existing AI-driven music composition systems that often produce generic or superficial imitations, HGINs dynamically interact and evolve constituent musical motifs, replicating the complex interweaving and nuanced development characteristic of Gugak performance.