Musical Instruments and overtones

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SUMMARY

Different musical instruments produce varying relative amplitudes and numbers of overtones due to the unique physical properties of their construction and the way they generate sound. Stringed instruments, for example, have specific harmonic content influenced by the location of vibration along the string, which determines which harmonics are produced. The body of the instrument, such as a guitar versus a piano, plays a crucial role in amplifying certain harmonics over others, affecting the overall timbre. Understanding these interactions is essential for analyzing the sound characteristics of different instruments.

PREREQUISITES
  • Understanding of harmonic content in stringed instruments
  • Knowledge of wave interference principles
  • Familiarity with the concept of formants in sound
  • Basic principles of acoustics and instrument design
NEXT STEPS
  • Research the role of formants in stringed instrument acoustics
  • Explore the physics of wave interference in musical contexts
  • Study the design differences between stringed instruments and their impact on sound
  • Learn about the harmonic series and its application in musical instrument tuning
USEFUL FOR

Musicians, acousticians, music educators, and anyone interested in the science of sound production in musical instruments.

BanjooftheSun
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Homework Statement


Why do different instruments produce different relative amplitudes and number of overtones?

Homework Equations


N/A

The Attempt at a Solution


I know that formants affect the relative amplitude of some of the harmonics, but besides that, I do not know. Any guidance or suggested source would be appreciated.

I am having trouble understanding why the harmonic content of different instruments differs, which is why I asked this question.

Thanks
 
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You must remember that for strings and pipes only certain frequencies will survive... Different relative amplitudes because of interference of the harmonics..
 
Ok, thank you.

I am only dealing with stringed instruments at the moment. I know that depending where the string is set vibrating different harmonics do not arise. Also, I think I understand that the harmonics interact to to form a composite wave based off of the harmonics that are present and how they interact.

What is giving me difficulty is how the body of the instrument, such as a guitar vs. a piano, affects which harmonics that are amplified.

Thanks very much
 

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