jimmy101 wrote: Blow harder and the tone jumps (without pasing through intermediate frequencies) to twice the fundamental frequency.
excellent description, but in cylindrical bore closed pipe instruments, (like the clarinet) it overblows a 12th, rather than an octave. this is equivalent to 3x the fundamental. In a video I watched about flash powder, it was proven that the frequency decreases over distance. This is may or may not apply, since no part of the muzzle blast pressure wave is supersonic.