Fluids in music: The mathematics of pan's flutes

Bogdan G. Nita; Sajan Ramanathan

doi:10.3390/fluids4040181

Fluids in music: The mathematics of pan's flutes

Bogdan G. Nita, Sajan Ramanathan

Mathematics

Montclair State University

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We discuss the mathematics behind the Pan's flute. We analyze how the sound is created, the relationship between the notes that the pipes produce, their frequencies and the length of the pipes. We find an equation which models the curve that appears at the bottom of any Pan's flute due to the different pipe lengths.

Original language	English
Article number	181
Journal	Fluids
Volume	4
Issue number	4
DOIs	https://doi.org/10.3390/fluids4040181
State	Published - Oct 10 2019

ASJC Scopus subject areas

Condensed Matter Physics
Mechanical Engineering
Fluid Flow and Transfer Processes

Keywords

Music
Pan's flute
Sound frequencies
Wind instruments

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10.3390/fluids4040181

Cite this

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abstract = "We discuss the mathematics behind the Pan's flute. We analyze how the sound is created, the relationship between the notes that the pipes produce, their frequencies and the length of the pipes. We find an equation which models the curve that appears at the bottom of any Pan's flute due to the different pipe lengths.",

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Fluids in music: The mathematics of pan's flutes

Abstract

ASJC Scopus subject areas

Keywords

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