How do I tell what harmonic an instrument is producing?

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SUMMARY

The discussion centers on determining the harmonic of a tone produced by an open tube instrument, specifically when given the frequency and length of the instrument. The key equations referenced are the wave equation (v = wavelength * frequency) and the harmonic length equation (L = n * wavelength / 2). It is established that if the harmonic number is not provided, one should assume the fundamental frequency as the starting point. Additionally, if the calculated speed of sound appears inconsistent, exploring higher harmonics is recommended.

PREREQUISITES
  • Understanding of wave equations and harmonic frequencies
  • Knowledge of the properties of open tube instruments
  • Familiarity with the concept of fundamental frequency
  • Basic skills in solving algebraic equations
NEXT STEPS
  • Research the speed of sound in different mediums
  • Learn about harmonic series in open and closed tube instruments
  • Explore the mathematical derivation of wave equations
  • Investigate resonance phenomena in musical instruments
USEFUL FOR

Musicians, acoustics engineers, and physics students interested in understanding the harmonic production of open tube instruments.

Danya314
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Homework Statement


An instrument is producing a tone, such as a D4. If I know the frequency of the tone, the length of the instrument but nothing else, how can I find the harmonic at which the tone is produced? The instrument is an open tube.

Homework Equations


v=wavelength*frequency[/B]
L=n*wavelength/2

The Attempt at a Solution


The point of the overall problem is to calculate the speed of sound using the length and frequency, but I don't know what equation to use to find the velocity since the harmonic number is not given.
 
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L=n*wavelength/2 is OK for a tube open at both ends. Is that what you have at hand ?
If they don't tell you (and you do need it), assume it's the base frequency.
(And if v comes out weird, you can still try a higher resonance)
 
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