While much research has been carried out regarding the potential aesthetic value of the Fibonacci sequence and the golden ratio (FS and GR) in the field of visual art, as of yet the field of music has seemingly little to offer in comparison. Researchers have tended to concentrate on deciphering individual applications, rather than on the perhaps more interesting question of whether FS and GR could hold some potential merit in music. Their research focus is partially due to the context in which composers have used FS and GR and their method of application, which more often than not has tended to drastically obscure the mathematical objects they are using. In the proposed dissertation, compositional criteria would be given for a new style I call the style of music characterized by mathematical objects fundamentally related to the Fibonacci sequence. The dissertation would conclude with a unique scientific study - utilizing the strict criteria of the style - with the purpose of determining whether sonified mathematical objects related to FS and GR are more aesthetically pleasing than unrelated mathematical objects. The study would involve the comparison of sonifications of FS- and GR-related mathematical objects and analog mathematical objects unrelated to FS and GR.