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Waves, Oscillations & Acoustics

Closed Organ Pipes

An acoustic pipe closed at one end and open at the other, having a displacement node at the closed end and an antinode at the open end.

Governing formula f_n = n v / (4 L) (n = 1, 3, 5, ...)
SI unit Hz

In depth

Closed pipes produce strictly odd harmonics (1st, 3rd, 5th...). For the same length, a closed pipe's fundamental pitch is an octave lower than an open pipe.

Examples in the real world

Clarinets and pan flutes acting as closed acoustic pipes.