How Low Can a Pop Bottle Go in Pitch?

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SUMMARY

The discussion centers on the theoretical limits of the lowest note achievable in a closed tube, specifically a pop bottle. Participants agree that there is indeed a limit due to the relationship between frequency and wavelength, where at extremely low frequencies, the wavelength exceeds the length of the tube. The human ear's frequency perception also plays a role, as it can only detect sounds within a certain range. Thus, both acoustic physics and human auditory limitations define the lowest achievable note.

PREREQUISITES
  • Understanding of acoustic physics principles
  • Knowledge of frequency and wavelength relationships
  • Familiarity with sound perception limits of the human ear
  • Basic concepts of closed tube resonance
NEXT STEPS
  • Research the physics of sound waves in closed tubes
  • Explore the concept of resonance and its impact on sound production
  • Study the frequency response of the human ear
  • Investigate practical applications of sound limits in musical instruments
USEFUL FOR

Acoustic engineers, music theorists, and anyone interested in the physics of sound and its limitations in closed systems.

Numzie
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Is there a theoretical limit to the lowest note achievable in a closed tube(Pop bottle)?

Heres the question in context:
I've got what I believe to be the correct:
http://img141.imageshack.us/img141/9301/1azw1.jpg
^^ May want to check that, if you don't mind ^^
 
Last edited by a moderator:
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I've searched all over for something but can't find anything. From what I can reason there would be a limit for two reasons:
1) Because the human ear can only hear a limited about of frequencies.(I assume this is correct but doesn't really relate to the given situation)
2) Frequency and wavelength are inversely proportional so eventually at a low enough frequency the wavelength will be so great that 1/4 of its wavelength is greater than the length of the tube.
 

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