A music generation engine automatically generates musical compositions by accessing musical sections and corresponding properties including similarity factors that provide a quantified indication of the similarity of musical sections to one another (e.g., a percentage of similarity). A sequential relationship of the musical sections is then determined according to an algorithmic process that uses the similarity factors to assess the desirability of the sequential relationship. The algorithmically created musical composition may then be stored, such as by rendering the composition as an audio file or by storing a library file that refers to the musical sections. The created musical composition may include layers respectively having different audio elements such that the created musical composition has a first dimension along a timeline and a second dimension that provides a depth based upon the presence of different audio elements. The presence and absence of audio elements along the timeline can be based upon the value of an intensity parameter, which may be an intensity envelope that is predetermined or automatically generated based upon user specifications.