I know this entry will perhaps seem a little bizarre for the War Board, but I suppose it is a debate of some sort, so alas! Moving along.
So I have this little conundrum I'm trying to sort out concerning a certain feature of the mathematical acoustics of a flute and how it could affect a flute's tuning [based of course on a chromatic scale]. By all logic, a flute renders the same affect as blowing in to the open end of a length of pipe, producing a note relative to other pieces of pipe with a similar diametre and varying lengths. But what I can't figure out for the life of me is whether or not the flute's natural note is produced based on the length from the Embouchure [mouth port] to the tail, or from the head piece to the tail.
A diagram is in order.
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|XX| O
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|XX|: Head Piece/Stopper
O: Embouchure/Mouth Port
Okay, so, from what I can piece together, at this point, the flute is at it's natural pitch based upon the volume of the resonance chamber. In order to tune it, therefore, I figure you divide the length of the chamber by 12, or the number of halves in a chromatic octave, leaving an opening fingering to produce a note one octave higher than the instrument's natural pitch.
And that's the rub! Should I consider the whole volume of the instrument in my division, measuring from the stopper to the end of the flute? Should I measure from the embouchure to the end of the flute because the embouchure acts as a resonator, hence the initial point of sound production? Or, even, should I consider the distance between the Embouchure and Stopper, multiplying that number by two to be taken away from the length of the flute [as I believe this might account for equality in the entrance of air at the embouchure]?
I figured it'd be a bizarre question, but considering my mathematical skills are crap [and acoustic mathematics to boot], I assumed there would be enough like minded people - bored and looking for any meagre source of entertainment - who could help me theorize on this.
Response much appreciated.
Lurk much?
Lurk? Dunno what that means.
not doing your homework for you buddy
You should try Yahoo answers.
You will not get much help on a video game board populated by retarded pseudoadolescents like OTL
You won't get help from Netman, cuz he's just a dick.
Hahaha, your post made me laugh, O.T.L.
Anyways... you are better off asking somewhere else. Why do you want to know anyways? I think it would be measured from the head piece to the tail, because otherwise, what purpose would the head piece serve?