How could we explain harmonics as it relates to a piano
Harmonics on a piano refer to the multiple frequencies that are produced when a key is struck. These frequencies are a result of the complex vibration patterns of the piano strings and the resonance of the instrument's body.
When a piano key is pressed, it causes the corresponding string to vibrate and produce a fundamental frequency, which is the main pitch that is heard. However, in addition to the fundamental frequency, the string also produces higher frequency overtones or harmonics. These harmonics are multiples of the fundamental frequency and are responsible for the unique timbre and richness of the piano's sound.
As the string vibrates, it divides into sections that vibrate independently, creating nodes and anti-nodes that produce different harmonics. The combination of these harmonics creates the complex and full-bodied sound that we associate with a piano.
In summary, harmonics on a piano refer to the multiple frequencies that are produced when a key is struck, adding depth and richness to the instrument's sound.