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To give a perspective: Nederveen's "Acoustical Aspects of Woodwind Instruments" states that to change the pitch of a note 10 cents requires a 1% change in the distance to the (acoustical) top of the instrument, a 10% hole-diameter change, or a 20% hole length change. I assume that the "hole length" on a saxophone or flute would be the height of the toneholes. He also says "we assume 10 cents to be the threshold of perceptibility".
 
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