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A simple and effective method for modifying the pitch of recorded speech units is described. This method was developed to overcome some limitations in the promising residual-excited linear prediction (RELP) technique. The key difference is that the choice of filter parameters in the new method is driven by a need for reducing sensitivity to pitch modification, rather than creating a residual with minimum energy as in RELP. Speech modifications using this method are superior in quality to those obtained with RELP, while at the same time being less sensitive than RELP to errors in pitch marking.