FM Tone Generation
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Appendix
In FM tone generation, each of the six operators functions as either a carrier or a modulator. The operator
doing the modulation is called the modulator; the one being modulated and delivering the actual sound is
called the carrier. Referring back to “Vertical Combination” on the previous page, operator A is the carrier
and operator B is the modulator.
Let's take a look at some more complex configurations, in which three or more operators are used. Keep in
mind that the modulator/carrier function is the same in all examples.
In fig. 1, all operators are combined horizontally and there are no modulators, only carriers. Without
modulation, all carriers output simple sine waves.
In fig. 2, three operators are stacked vertically, and only the lowest is a carrier. The top operator modu-
lates the middle one, which in turn modulates the carrier at the bottom. This results in a complex wave-
form, with many harmonics or overtones. (An explanation of harmonics follows on the next page.)
In fig. 3, there are two carriers and one modulator. The sole carrier on the right produces a simple sine
wave, while the modulator/carrier pair on the left produce a more complex waveform with added har-
monics. The actual sound is a mix of the two carriers.
In fig. 4, two modulators are used change the sound of a single carrier. Using two modulators produces
an even more complex sound than is possible with one, with a greater amount of harmonics.
In fig. 5, there are two modulator/carrier pairs, each generating a complex sound with many harmonics.
As with the operators in fig. 3, the actual sound is a mix of the two carriers.
Carrier and Modulator
C C C M
M
C
M
CC
M M
C
M M
C C
“C” Carrier
“M” Modulator
fig. 1
fig. 5
fig. 2 fig. 3 fig. 4