Fundamental note vs fundamental frequency of string

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SUMMARY

The fundamental frequency of a guitar string is 264 Hz when unaltered. When the string is pressed at 1/4 of its length, the frequency produced is 528 Hz, which corresponds to the first overtone. This distinction arises because pressing the string effectively shortens its vibrating length, thus altering its fundamental frequency. The discussion emphasizes the difference between the fundamental frequency of the entire string and the frequency of the note played when the string is pressed.

PREREQUISITES
  • Understanding of fundamental frequency and overtones in string instruments
  • Knowledge of wave behavior and standing waves in strings
  • Familiarity with the concept of resonance and nodes in vibrating systems
  • Basic principles of guitar playing techniques, including pressing and plucking
NEXT STEPS
  • Study the relationship between string length and frequency in string instruments
  • Learn about the physics of standing waves and resonance in strings
  • Explore the effects of damping on overtones in musical instruments
  • Investigate the mathematical representation of waveforms using Fourier series
USEFUL FOR

Musicians, particularly guitarists, physics students, and educators interested in the acoustics of string instruments and the principles of sound production.

  • #31
olivermsun said:
Now that I think about it, the formation of "harmonic" notes may have been discussed when I took high school physics. It can make a great audio-visual demonstration that the vibrating string contains a mixture of modes; by "choosing" nodes at certain parts of the string you essentially select "compatible" sets of modes and therefore the overtone series which is heard.

Whatever fancy fingerwork you may or may not have done in your high school physics class has no bearing on this problem.
 
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  • #32
rude man said:
Please read the last sentence in Simon's post # 25. Whatever you may or may not have done in your high school physics class has no bearing on this problem.

Simon's last sentence reads: "There are fancy fingering things you can do, but they won't form part of your course."

Your assertion, meanwhile, was, "'Touching' a string does not seem to fit in with this theory, and would not seem to be the subject of an introductory physics course in any case."

I gave a counter-example in which "touching" a string was part of an introductory physics course, as a reply to an unfounded assertion made on both your parts.
 

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