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Yamaha DX9 Operating Manual page 10

Digital programmable algorithm synthesizers
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FM TONE GENERATION
FM Tone Generation
. ...
Understanding the Basics
The
DX9 is an entirely
new type
of synthesizer
employing
an entirely new
FM
digital tone
generation system
.
This
unique
Yamaha system permits
finer
control over
subtle
musical
nuances
and vastly expanded
voice
creation
poten-
tial compared to conventional synthesizers.
1. The Meaning of FM
FM
stands for
Frequency
Modulation.
FM radio broadcasts
use
the same principle
.
One signal-the
modulator-modu-
lates
a second signal-the carrier.
In FM radio
the carrier is an extremely
high
"ratio"
fre-
quency
and the
modulator
is the music signal
to be
braod-
cast
.
In
effect,
the
carrier "carries" the modulator
signal
through
the atmosphere to your
receiving
antenna.
FM broadcasting
Carrier wave
~
(signal to be
modulated),
Sound signal
1\J'V
FM signal (modulated signal)
IMMNNMN
'-1~
Loose wave
Dense wave
(modulator signal)
Extremely high carrier/
modulator
frequency
ratio. The "density" of
the transmitted carrier
waveform varies accord-
ing to the modulating
signal.
The FM
tone generator system
is
similar
in
principle,
but in
this case both
the
carrier and modulator
are
audible signals,
and
their
frequencies can be almost equal.
FM tone generation
Carrier
1\J'V
(sound to be modulated)
Modulator
1\J'V
(modulator signal)
FM sound (modulated sound)
Close carrier/modulator
frequency ratio results
in FM sound.
<9>
2. FM Tone Generation In the DX9
In the
DX9,
the
carrier signal determines
the pitch of the
note produced and modulator
determines
the shape of the
waveform
produced and therefore its timbre. This explana-
tion may make it look like the
carrier
and
modulator
are
two
entirely separate
things. In fact, they
are one and
the
same. A special
oscillator unit
called an "operator" can
be
used as
either
a
carrier or
modulator
in
the DX9.
Operator
Pitch
Modulation data
The frequency data and
modulation
data
are
combined here
1) Pitch Frequency Data
Output
Envelope data
Pitch frequency data
from
the DX9's microcomputer
sys-
tem
determines
the
operator's oscillation
frequency. When
the operator
is used as a
carrier,
this frequency is equivalent
to the pitch of the note produced. When the
operator
is
being used as
a
modulator, the ratio
of
its frequency to that
of
the
carrier
determines the timbre
of
the note produced.
2) Modulation Data
This is the modulation data received from
the
previous
operator's
(modulator)
output.
3) Envelope Data
When the
operator
is used
as a carrier the
envelope data de-
termines the
volume envelope of
the note produced.
When
the
operator
is used
as a
modulator the
envelope
data de-
termines the timbre envelope
of
the note produced.
For example, the pitch frequency data applied to
an oper-
ator
used
as
a
carrier
determines the frequency
of
the sine
wave output
from the
operator.
Inputting
envelope
data
results in
an
output
waveform similar
to
that
shown in the
figure.
Numerical
value
Operator
1\f\!V\JV
Sine wave
!'----\
Envelope data

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