Department

Languages, Cultures, and Humanities

Document Type

Article

Publication Date

1-1-2007

Abstract

In this paper we demonstrate how to create and analyze musical compositions using Mathematica. In §1, we begin by demonstrating how to create a musical composition for an orchestra based on the butterfly curve using traditional means. In §2, we then show how a computer generated piece based on any curve can be composed using Mathematica. Finally, in §3, we show how Mathematica can be used to analyze musical compositions using the methods from nonlinear time series analysis.

Journal Title

Mathematica in Education and Research

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