Question

What is the key of the given music piece?

1) B flat major
2) G minor
3) major
4) minor

Answer 1

Playing three adjacent piano keys (F, F-sharp, and G) with frequencies of 349, 370, and 392 Hz will produce beat frequencies of 21 Hz, 22 Hz, and 43 Hz due to the differences between each pair of frequencies.

Step-by-step explanation:

When three adjacent keys on a piano (F, F-sharp, and G) are struck simultaneously, producing frequencies of 349, 370, and 392 Hz, we can determine the beat frequencies by calculating the differences between each pair of frequencies. The concept of beat frequency is when two sounds of different frequencies interfere with each other, leading to a fluctuation in the loudness of the sound heard. Each beat frequency is the absolute value of the difference in frequencies of each pair of notes.

• The beat frequency between F (349 Hz) and F-sharp (370 Hz): |349 Hz - 370 Hz| = 21 Hz.
• The beat frequency between F-sharp (370 Hz) and G (392 Hz): |370 Hz - 392 Hz| = 22 Hz.
• The beat frequency between F (349 Hz) and G (392 Hz): |349 Hz - 392 Hz| = 43 Hz.

Therefore, the discordant combination of these three piano keys will produce beat frequencies of 21 Hz, 22 Hz, and 43 Hz.