what is reason behind richness of quality due to open organ pipe than that of closed organ pipe
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If you start with the same fundamental frequency for both open and closed, say f0, you'll notice that for the Open pipe, the harmonics are:
f0,2f0,3f0,...
While for the closed,
f0,3f0,5f0,...
And you'll notice that the closed pipe has greater spacing of harmonics compared to the open pipe.
That is for a given single note. You have to lower the note of the closed pipe by 12f0 (1 octave) to produce the same spacing of harmonics as the open pipe.
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