Abstract: To simulate sympathetic resonances for an electronic musical instrument, during the playing of free notes an excited notes, updating takes place of a first list (26) of free notes and their harmonics and of a second list (28) of excited notes ans their harmonics. At each activation of a free note, for each harmonic of said free note, is sought at least one identical harmonic of a note of the second list (28) and the playing of a sympathetic note is controlled with the pitch of each identical harmonic, and at each activation of an excited note, for each harmonic of said excited note, is sought at least one identical harmonic of a free note of the first lest (26) and the playing of a sympathetic note is controlled at the pitch of each identical harmonic.