Eastern Kentucky University
Nonlinear Time Series Analysis of Beethoven’s Music
Institution
Eastern Kentucky University
Faculty Advisor/ Mentor
Christopher Kulp
Abstract
The field of nonlinear time series analysis provides a set of tools to analyze data taken from a nonlinear system. In this poster, discuss how the methods of nonlinear time series analysis can be applied to musical compositions. Further, we discuss what information about the composition can be revealed using nonlinear time series analysis. Ultimately, we would like to be able to find a way to identify when a particular piece was composed during its composer’s lifetime. In particular, we are interested in studying several pieces of music composed by Beethoven. We show how a time series can be generated from a piece of music. We also demonstrate how the techniques of nonlinear time series analysis can be used to produce visualizations of a composition; and discuss what useful information can be obtained from such visualizations. Finally, we discuss other calculations that can be performed on the time series, such as transfer entropy, and their usefulness in extracting information about the composition.
Nonlinear Time Series Analysis of Beethoven’s Music
The field of nonlinear time series analysis provides a set of tools to analyze data taken from a nonlinear system. In this poster, discuss how the methods of nonlinear time series analysis can be applied to musical compositions. Further, we discuss what information about the composition can be revealed using nonlinear time series analysis. Ultimately, we would like to be able to find a way to identify when a particular piece was composed during its composer’s lifetime. In particular, we are interested in studying several pieces of music composed by Beethoven. We show how a time series can be generated from a piece of music. We also demonstrate how the techniques of nonlinear time series analysis can be used to produce visualizations of a composition; and discuss what useful information can be obtained from such visualizations. Finally, we discuss other calculations that can be performed on the time series, such as transfer entropy, and their usefulness in extracting information about the composition.