Calculating the frequency of an open end pipe?

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Calculating the frequency of an open end pipe primarily involves its length, but the diameter also plays a minor role due to the positioning of the antinode. While the impact of width is minimal for longer pipes, it becomes significant in precise applications like tuning a pipe organ. The concept of "pipe end correction" is crucial for understanding these nuances. Resources on pipe end correction provide further insights into this topic. Accurate frequency calculations require considering both length and diameter for optimal results.
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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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