I examined the power spectra for different flute notes produced by different players.  My data showed that a flute tone consists of the fundamental frequency and an uninterrupted harmonic series.  The power spectra of one note in different octaves proved that the higher frequencies contain fewer overtones than the lower notes.  I took samples of notes for different players on one flute and also for one flutist on different flutes.  Comparing the power spectra for these two sets of data showed that the flutist has a greater affect on the relative amplitudes and number of overtones present than does the instrument.  The greatest uncertainty in the relative amplitudes, however, is due to the human factor.  A flutist can change the amplitudes and length of the resulting harmonic series by adjusting many things, including embouchure, strength of airstream, and position of lips on the flute.
 

Abstract
Introduction
Experimental Setup
Results
Discussion
Conclusions
References