The Ocarina
Most wind instruments (both brass and woodwinds) have a musical range that 's well beyond the number of holes, valve combinations, or slide positions available on the instrument. The range is extended by increasing the airspeed, so that the higher harmonics actually become the fundamentals.
The "whole tube" brass instruments like the tuba, sousaphone, baritone, and euphonium, can play the fundamental in each overtone series, but other brass instruments like trumpet, French Horn, and trombone (known as "half tube") can only play the second harmonic as the lowest note. The higher notes in each overtone series are achieved by increasing the airspeed.
With woodwinds, in addition to increasing the airspeed, there are often different fingerings for the higher octaves. Both the single and double reed woodwinds have a register key that when opened can make the normally closed-pipe instrument behave like an open-pipe and raise the pitch.
With bagpipes, since the air coming from the bag is a constant speed, it can't play higher octaves, even though the bagpipe's double reed produces many overtones.
There is, however, one wind instrument that's unique in that it produces no overtones. It has a fixed musical range (generally an octave or slightly more) that can't be extended by increasing the airspeed. That instrument is an ocarina, which in Italian literally means "little goose". Because it's a vessel flute, the air inside moves as one wave, and the ocarina produces only a sine wave with no overtones.