Harmonics
Harmonics are the natural frequencies
produced by an instrument. They are caused by the
vibrations of the instruments. The image below shows
the harmonics of each of the different
air column types of woodwind instruments. The
harmonic of an instrument is determined by
its length and the wavelengths it produces with its
sound.
L = (n/2)*λ
L is the length of the air column of the instrument, n is the
harmonic, in whole numbers, and lambda
is the wavelength of the vibrations that go through the air
columns.
![](data:image/png;base64,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)
Pitch
The pitch of an instrument is determined by
its frequency. A higher frequency creates a
higher pitch while a lower frequency creates a lower
pitch. The pitch is dependent on the
air column and the keys of the instrument. A longer
air column gives lower pitches due to
its frequency decreasing; it takes longer for the air
to flow through the instrument. The way
woodwind instruments are made nowadays, the keys
restrict the flow through the instrument
when they are not pushed. Therefore, holding a key
allow the air to flow further, decreasing
the frequency of the air traveling through the
instrument.
Components
Index
![](data:image/gif;base64,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)