the Sound is Music?

At what point does speech cease to be 'speech' and become 'music' instead? At what point does any sound cease to be 'sound' (generically) and come to be considered 'music?' This is a 'word' problem, a 'labelling' problem for me. (Could it be considered in some odd way a sort of 'category' mistake? I have trouble understanding that concept, though I feel it fundamentally... I just can't seem to apply it appropriately.)
A dripping faucet in the kitchen sink--'music?' If it is maintaining a constant, metric sort of repetition and accompanied by the drone of a refrigerator humming, is that music? And what if there's a woman or a cook, singing/humming to herself absent-mindedly, in that kitchen? Surely I could notate that, and it becomes a cohesive 'piece,' a reflection of the music of life of the domesticated American woman--her 'anthem' of a sort. Where do you hear that line drawn? (Not that I'm presuming that one can 'hear' a line being drawn, per se) :P
Just curious.