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Full-Text Articles in Physical Sciences and Mathematics
A Three-Part Study In The Connections Between Music And Mathematics, Molly Elizabeth Anderson
A Three-Part Study In The Connections Between Music And Mathematics, Molly Elizabeth Anderson
Undergraduate Honors Thesis Collection
The idea for this thesis originated from my fascination with the studies of both music and mathematics throughout my entire life. As a triple major in Middle/Secondary Math Education, Mathematics, and Music, I have learned more than I thought possible of music and math. In proposing this thesis, I desired to use my knowledge of arithmetic and aesthetics to research how music and mathematics are intertwined. I am confident that the following three chapters have allowed me to develop as an academic in both music and mathematics. This thesis serves as a presentation of the connections of music and math …
An Investigation Of Melodic Musical Modeling Using Homogeneous And Non-Homogeneous Markov Chains, Eric Robert Sherman Buenger
An Investigation Of Melodic Musical Modeling Using Homogeneous And Non-Homogeneous Markov Chains, Eric Robert Sherman Buenger
Undergraduate Honors Thesis Collection
As an actuarial science student, my observations have a different focus than the other composers. In the industry, actuaries aren't interested in a probability model for its own sake. Rather, they "want to use the model to analyze the ... impact of the events being modeled" [Da]. This analysis focuses equally on the generation of the model as well as the results of the model. While other researchers have investigated many topics in the field of musical generation through mathematical means, no one has yet explored non-homogeneous and homogeneous models simultaneously. This study compares melodic material generated from both homogeneous …