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Full-Text Articles in Musicology
Music: Numbers In Motion, Graziano Gentili, Luisa Simonutti, Daniele C. Struppa
Music: Numbers In Motion, Graziano Gentili, Luisa Simonutti, Daniele C. Struppa
Mathematics, Physics, and Computer Science Faculty Articles and Research
Music develops and appears as we allow numbers to acquire a dynamical aspect and create, through their growth, the various keys that permit the richness of the musical texture. This idea was simply adumbrated in Plato’s work, but its importance to his philosophical worldview cannot be underestimated. In this paper we begin by discussing what is probably the first written record of an attempt to create a good temperament and then follow the Pythagoreans approach, whose problems forced musicians, over the next several centuries up to the Renaissance and early modern times, to come up with many different variations.
Deconstructing Chaos: The Role Of Pitch Hierarchy In Music Perception, Gabrielle Stetz
Deconstructing Chaos: The Role Of Pitch Hierarchy In Music Perception, Gabrielle Stetz
Student Scholar Symposium Abstracts and Posters
During the early twentieth century, art music composers pushed Western tonality to the limits and eventually abandoned tonality altogether, creating a system that treated every pitch equally. This atonal system broke down all keys and harmonic progressions that are cornerstones of Western musical pitch hierarchy. Through an extensive review of current literature, this research aims to show that the concept of hierarchy, present in tonal but not atonal music, is central to music perception. This presentation will explore the role hierarchy in music perception through several means: examining the physical nature of sound on a mathematical basis, determining innate structures …