Document Type
Article
Publication Date
10-10-2019
Journal / Book Title
Fluids
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.
DOI
https://doi.org/10.3390/fluids4040181
MSU Digital Commons Citation
Nita, Bogdan and Ramanathan, Sajan, "Fluids in Music: The Mathematics of Pan’s Flutes" (2019). Department of Mathematics Facuty Scholarship and Creative Works. 197.
https://digitalcommons.montclair.edu/mathsci-facpubs/197
Published Citation
Nita, Bogdan G., and Sajan Ramanathan. "Fluids in Music: The Mathematics of Pan’s Flutes." Fluids 4, no. 4 (2019): 181.
Included in
Composition Commons, Control Theory Commons, Dynamical Systems Commons, Dynamic Systems Commons, Fluid Dynamics Commons, Harmonic Analysis and Representation Commons, Music Theory Commons, Other Mathematics Commons, Other Music Commons, Other Physical Sciences and Mathematics Commons