Sound Of Music: 2nd, 3rd, 4th Harmonics of 370 Hz Pitch

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SUMMARY

The discussion focuses on the calculation of the second, third, and fourth harmonics of a 370 Hz pitch produced by a flute, modeled as an open pipe. Using the formula f = nv/2L, where v is the speed of sound (343 m/s), the calculated frequencies for the harmonics are 740 Hz, 1110 Hz, and 1480 Hz respectively. The calculations confirm that the harmonic frequencies are accurately derived from the fundamental frequency of 370 Hz.

PREREQUISITES
  • Understanding of harmonic frequencies in acoustics
  • Familiarity with the wave equation f = nv/2L
  • Knowledge of the speed of sound in air (approximately 343 m/s)
  • Basic mathematical skills for solving equations
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  • Explore the concept of harmonic series in musical acoustics
  • Learn about the effects of different pipe lengths on harmonic frequencies
  • Investigate the speed of sound variations in different mediums
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Musicians, acoustics engineers, physics students, and anyone interested in the principles of sound production and harmonic analysis.

whitehorsey
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1. A flute acts like an open pipe and sounds a note with a 370 - Hz pitch. What are the frequencies of the second, third, and fourth harmonics of this pitch?



2. f = nv/2L (n = 1, 2, 3, 4)



3. f = nv/2L
370 = 343/2L
740 L = 343
L = 0.463513513

f = 2(343)/ 2(0.463513513)
= 740 Hz

f = 3(343)/ 2(0.463513513)
= 1110 Hz

f = 4(343)/ 2(0.463513513)
= 1480 Hz

740 Hz, 1110 Hz, 1480 Hz ---- I'm not sure if this is right.
 
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Seems right to me.
 
Ok Thank You! :)
 

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