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Introduction

Any measurement recorded over time is a signal, which may be analyzed using various methods. Such an analysis can aid in understanding the physics underlying what was measured. The analysis is generally made in the time and/or frequency domains. The time domain corresponds to a waveform representation, which is useful for determining the exact times at which events, such as string plucks, occur. A frequency domain analysis is more useful for determining how much energy is present in a sound at various frequencies. For perfectly periodic sounds, the Fourier Series may be used to perform a frequency domain analysis. A Fourier Series demonstration applet may help provide you with some intuition behind using the Fourier Series to construct perfectly periodic sounds. Since the components in a Fourier Series are harmonic, they form a harmonic series.


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Download harmonics.pdf

``Harmonic Content of a Plucked String'', by Edgar Berdahl and Julius O. Smith III,
REALSIMPLE Project — work supported by the Wallenberg Global Learning Network .
Released 2008-06-05 under the Creative Commons License (Attribution 2.5), by Edgar Berdahl and Julius O. Smith III
Center for Computer Research in Music and Acoustics (CCRMA),   Stanford University
CCRMA