The Relationship Between Bore Resonance Frequencies and Playing Frequencies in Trumpets
Résumé
The aim of this work is to study experimentally the relationship between the resonance frequencies of the trumpet, extracted from its input impedance, and the playing frequencies of notes, as played by musicians. Three different trumpets have been used for the experiment, obtained by changing only the leadpipe of the same instrument. After ameasurement of the input impedance of these trumpets, four musicians were asked to play the first five regimes of the instrument, for four different fingerings. This wasd one for three dynamic levels and repeated three times. Statistical methods were implemented to assess the variability in the playing frequencies, and to study quantitatively their relationships with the bore resonance frequencies. Alimited influence of the musician on the instrument overall intonation is observed, as well as aweak influence of the dynamic levels on the pitch of the notes. The results showthat for most of the regimes, variations of the resonance frequencylead to same order variations of the playing frequencyo ft he corresponding note. We noticed also that the sum function, derived from the input impedance, does not give ab etter prediction of the playing frequencyt han the input impedance itself.
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