Question $13$

$9$ points

Musical notes can be viewed as pure tones $($if we ignore the "warmth" added by any particular instrument$).$ Pure tones involve only one frequency. Chords are combinations of notes, such as the C$-$Major chord on the piano comprised of notes C$,$ E$,$ and G$.$If the radio station $1280kHz$ AM broadcast the C$-$Major chord, it would broadcast the following seven frequencies, listed in ascending order and annotated by note and upperllower sideband:

$fLSB-G=1,279,608Hz$

$fLSB-E=1,279,670Hz$

$fLSB-C=1,279,738Hz$

$f$ carrier $=1,280,000Hz$

fUSB$-C=1,280,262Hz$

fUSB$-E=1,280,330Hz$

fUSB$-G=1,280,392Hz$

Notice that in the lower side bands, the notes are in reverse order. $G,$ the highest pitch in the chord, is always the farthest away from the carrier frequency. The carrier frequency is exactly in the middle. List, in ascending order, the frequencies after demodulation.

Blank $1Hz($lowest$)$

$\frac{?}{\text{b}\text{a}\text{r}}($ Blank $2)Hz$

Blank $3Hz($highest$)$

Blank $1$ Ad

Blank $2$

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