I studied woodwind instruments in college, 3 years cutting wood, turning ivory, casting keys.
The thing you learn with woodwind is that as soon as you have a closed pipe every blow is followed by a suck. That's how they work. The gasses rushing out the end don't know when to stop so they start to stretch creating a void that must be filled. The suck will be fresh moisture laden air and it will become chilled.
Curiously the cylindrical bore of a muzzle loader would overblow at the twelfth where a blunderbuss might be more inclined to the octave :rotf: :hatsoff: