Question

What key is this composition written in?

1) C major
2) D minor
3) F# major
4) G minor

Answer 1

Beat frequencies are calculated as the absolute differences between simultaneously played notes. For the F, F-sharp, and G combination, the beat frequencies would be 21 Hz, 22 Hz, and 43 Hz respectively.

Step-by-step explanation:

When three adjacent keys on a piano (F, F-sharp, and G) are struck simultaneously, producing frequencies of 349 Hz, 370 Hz, and 392 Hz, we can calculate the beat frequencies produced by this discordant combination. The beat frequency is found by taking the absolute difference between the frequencies of any two notes played together. Thus, the beats produced would be between F and F-sharp (370 Hz - 349 Hz = 21 Hz), F-sharp and G (392 Hz - 370 Hz = 22 Hz), and F and G (392 Hz - 349 Hz = 43 Hz).