Optimizing Organ Pipe Modes with Vent Holes

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To optimize organ pipe modes with vent holes, the placement of holes should be aligned with the positions of antinodes for the desired modes. For the third mode, a vent hole should be located approximately one-third of the way down the pipe, while for the fourth mode, it should be about one-quarter of the way down. This positioning enhances the resonance of the respective modes. The discussion references visual aids to clarify the relationship between nodes and antinodes in open and closed organ pipes. Proper vent hole placement is crucial for achieving the desired sound characteristics in organ pipes.
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Homework Statement


Where would you locate a small vent hole to encourage the third mode of an open pipe? The fourth mode?

Homework Equations



Hint: Where is a node of the desired mode?

The Attempt at a Solution



Does this mean 1/3 of the way down for mode 3 and 1/4 of the way down for mode 4?
 
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