Calculating the frequency of an open end pipe?

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SUMMARY

The frequency of an open end pipe is influenced primarily by its length and to a lesser extent by its diameter due to the phenomenon known as "pipe end correction." This correction accounts for the fact that the antinode does not form exactly at the open end of the pipe, particularly in cases where the pipe is significantly longer than its width. For precise tuning, such as in pipe organs, it is essential to consider this slight influence of diameter. Resources on "pipe end correction" provide extensive information on this topic.

PREREQUISITES
  • Understanding of wave mechanics
  • Familiarity with acoustic principles
  • Knowledge of pipe organ construction
  • Basic concepts of sound frequency and wavelength
NEXT STEPS
  • Research "pipe end correction" in acoustics literature
  • Explore the relationship between pipe length and frequency
  • Study the effects of diameter on sound waves in open pipes
  • Investigate tuning techniques for pipe organs
USEFUL FOR

Acoustic engineers, musicians involved in instrument tuning, and anyone interested in the physics of sound in open pipes.

Qaiphyx
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How can this be done. I know it has to do with the length, but what about the width? Does that have any bearing?
 
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The pipe diameter has a slight influence because the antinode doesn't form exactly at the open end of the pipe. The effect is very small if the pipe is much longer than it is wide (but you will probably want to account for it if you're tuning a pipe organ!). A quick search on "pipe end correction" gives tons of references.
 

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