Abstract
Calculations are possible of the locations and sizes of constrictions and enlargements that may be put into a trumpet air column for correcting intonation errors of the trumpet. In certain respects, and to at least a useful approximation, the trumpet behaves as a simple, closed-open, cylindrical resonator, and perturbation theory applied to a closed-open cylinder model permits the calculations of the locations and sizes of the constrictions and enlargements. The corrector-amplitude versus distance function is a Fourier transform of the experimentally determined intonation-error versus mode function. An interesting experiment, making use of the theory, is the raising of the (usually) flat fifth mode without significantly affecting any of the other playing modes.
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