Which harmonic occurs a fifth above the fundamental frequency?

The harmonic that occurs a fifth above the fundamental frequency is indeed the 3rd harmonic.

To understand this, it's essential to recognize how harmonics are defined in relation to the fundamental frequency. The fundamental frequency, sometimes referred to as the 1st harmonic, is the lowest frequency of a periodic waveform and is typically the first note produced when a musical instrument plays a tone. Each subsequent harmonic is related to the fundamental frequency by integer multiples.

The 2nd harmonic is an octave above the fundamental, meaning it is twice the frequency of the fundamental frequency. The 3rd harmonic, on the other hand, is three times the fundamental frequency, and if you analyze the spacing of notes in musical terms, this relationship corresponds to a perfect fifth above the fundamental.

To clarify further within the context of harmonics:

• The 1st harmonic (fundamental) is at the frequency f.

• The 2nd harmonic is at 2f, which is one octave above the fundamental.

• The 3rd harmonic is at 3f, which corresponds to a frequency that creates an interval of a fifth when compared to the 1st harmonic.

• The 4th harmonic is at 4f, which is two oct