If an individual has a fundamental frequency derived from a 3rd harmonic of 690Hz, what is their fundamental frequency?

To determine the fundamental frequency when given a harmonic frequency, you can use the relationship between harmonics and the fundamental frequency. The fundamental frequency is the first harmonic, and higher harmonics are integer multiples of this value.

In this scenario, the 3rd harmonic is 690 Hz. To find the fundamental frequency, you divide the harmonic frequency by the harmonic number. Since the 3rd harmonic is the third multiple of the fundamental frequency, you can calculate it like this:

Fundamental Frequency = Harmonic Frequency / Harmonic Number Fundamental Frequency = 690 Hz / 3 Fundamental Frequency = 230 Hz

This calculation leads to the conclusion that the fundamental frequency is 230 Hz. Recognizing the relationship between harmonics and the fundamental frequency is essential in understanding pitch and sound characteristics, which are crucial in speech science. Thus, the correct answer is indeed 230 Hz.