An Investigation of Melodic Musical Modeling Using Homogeneous and Non-Homogeneous Markov Chains

As an actuarial science student, my observations have a different focus than the other composers. In the industry, actuaries aren\u27t 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 and non-homogeneous models in an attempt to determine which model leads to a more accurate representation of the given melody