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Ondertonen

Ondertonen, in acoustics and music theory, refers to subharmonics—the frequencies that would lie below the fundamental frequency if a vibrating system produced divisions of that fundamental. For a given fundamental f, undertones have frequencies such as f/2, f/3, f/4, and so on. In theory they form a series opposite to the familiar overtone (harmonic) series, which presents multiples of the fundamental. In practice, undertones are not as consistently present as overtones; their existence and strength depend on nonlinear behavior in the vibrating instrument or voice, or on electronic processing that deliberately generates subharmonics.

Historically, undertones have been discussed as a conceptual counterpart to overtones within the study of harmony,

In performance and synthesis, undertones can be encountered or produced in several ways. Some voice techniques

See also: overtone series, subharmonics, harmonic series, microtonality, just intonation.

psychoacoustics,
and
the
physics
of
musical
tones.
While
the
overtone
series
underpins
standard
tuning
and
timbre
in
Western
music,
undertones
have
largely
remained
outside
mainstream
practice.
They
have
appeared
in
certain
speculative
or
experimental
contexts,
especially
in
microtonal
and
subharmonic
tuning
projects
during
the
20th
century.
and
wind
or
string
instrument
phenomena
can
generate
subharmonics,
though
they
are
usually
weaker
than
the
main
pitch.
In
electronic
music
and
sound
design,
subharmonic
oscillators
and
processing
can
deliberately
create
f/2,
f/3,
f/4,
etc.,
to
explore
tunings
and
textures
beyond
the
overtone
series.
Undertones
are
therefore
mainly
discussed
in
specialized
or
theoretical
contexts
rather
than
as
a
standard
feature
of
ordinary
musical
practice.