Acoustics of the saxophone

Bb tenor saxophone

B3

Music Acoustics UNSW

Conventional Fingering

Impedance

Fingering
a key depressed
a key not depressed
a hole covered
a hole uncovered
a part of the mechanism that is not normally touched
Details in fingering legend.

Acoustic schematic
a closed tone hole
an open tone hole

Non-specialist introduction to acoustic impedance
Non-specialist introduction to saxophone acoustics

Notes are the written pitch.
Frequencies are the sounding frequency, for Bb saxophone.
Unless otherwise stated, the impedance spectrum is for a Bb saxophone.


Impedance spectrum of a Bb tenor saxophone measured using fingering for B3.

At frequencies below about 1 kHz, this curve looks rather like that for A#3, but raised in frequency because the tube is effectively shorter because of the open tone hole (see tone holes). At higher frequencies, however, the waves propagate past the open tone hole with greater ease, and the situation is more complicated. At the highest frequencies shown here, the waves "hardly notice" the open tone hole and the curve is very much like that for A#3, and not raised in frequency. See the discussion in cut-off frequency. For general comments about the first register, see A#3.

Compare with the impedance spectrum for a soprano sax on written B3: same fingering but sounding one octave higher.

Sound


Sound spectrum of a Bb tenor saxophone played using fingering for B3.
For more explanation, see Introduction to saxophone acoustics.

The peaks in the sound spectrum are harmonics: they fall at frequencies f0, 2f0, 3f0, etc. This is only approximately true of the peaks in the impedance spectrum, and some impedance peaks no longer coincide exactly with the sounding harmonics. The width of the harmonic peaks is determined by the frame size of the Fourier transform, and not (for this note) by vibrato.

In the sound spectra for the low notes, we can notice a sudden increase in the negative slope of the spectral envelope that occurs close to the cut-off frequency of about 800 Hz.

Sound Clip

You can hear B3 played.


Fingering legend
How were these results obtained?

Contact: Joe Wolfe / J.Wolfe@unsw.edu.au
phone 61-2-9385-4954 (UT +10, +11 Oct-Mar)
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