Tube Harmonics
A tube is a cyllindrical structure with two holes at each end. Sound enters the first end and comes out the other.
A [see page 14, tube] The simplest example of a resonant enclosure. We can [see page 14, calculate] the resonant frequency for such a tube as a measure of the speed of the sound \(v\) and the length of the tube \(L\).
side conditions (fixations) define where minima/maxima are for standing waves.Open at One End
For a tube with a hole at one end, the harmonics are defined with:
- A node at the point where the sound originates
- A anti-node at the other side of the tube (where the sound exits).
We [see page 17, can] calculate the resonant frequencies for such a tube.
Note: This means a tube has no even harmonics (this requires a node at the end of the tube), only odd harmonics.