Question

What is the key signature of G-sharp minor?
1) 1
2) do
3) tonic

Answer 1

Beat frequencies occur as the difference between the frequencies of simultaneously played notes. In the case of piano keys F, F-sharp, and G with frequencies 349, 370, and 392 Hz, the beat frequencies produced are 21 Hz and 22 Hz, leading to a discordant sound.

Step-by-step explanation:

When three adjacent keys on a piano (F, F-sharp, and G) are struck simultaneously, with frequencies of 349, 370, and 392 Hz respectively, the combination produces what are known as beat frequencies. The beat frequency between two tones is the absolute difference between their frequencies. Therefore, to find the beat frequencies produced by this combination, we simply subtract the frequencies of each pair of notes.

The beat frequency between F (349 Hz) and F-sharp (370 Hz) is 21 Hz; between F-sharp (370 Hz) and G (392 Hz) is 22 Hz. If all three keys are struck simultaneously, your ear might perceive these differentiation tones separately or as a combination, resulting in a discordant sound due to the close proximity of these frequencies.