Exploring Fractal Geometry in Music

From graphic design to stock market predictions, applications offtactal geometry permeate fields in every way. The depiction offtactals also has substantial artistic intrigue. Mathematical graphs displaying multiple dimensions of self-similarity reveal highly evocative perceptions of depth and design. Such a fascination in sight can also be perceived in sound. This n:searclt explains the depiction offractal geometry in music. It examines various compositional techniques used to employ the ~on offtactal symmetry in music. Upon considering such representations entailed in the compositional process and realized in the structure of a musical work, we use our findings to engineer an original method that musically depicts the geometry of a ftactaI. This method ba$ its ultimate realization in a musical composition that amalgamates our discoveries. This paper will discuss fractal repn:sentations in music and the compositional procedures that achieved them.