Harmonics

To make resonant frequencies that are outside the audible range of human hearing (20 Hz to 20,000 Hz) audible, we can use the concept of harmonics and octaves. This process involves shifting the frequency up or down by octaves, which are multiples or divisions by powers of two.

Making Non-Audible Frequencies Audible

To make a non-audible frequency audible, the frequency is shifted into the human audible range by repeatedly doubling or halving it, depending on whether the original frequency is below or above this range. By this method, frequencies that are not inherently perceptible to the human ear can be transformed into a form that is. This is particularly useful in various fields, such as audio engineering, medical diagnostics, and research, where it is necessary to study or use frequencies beyond the typical human auditory range. The transformed frequencies can retain information about the original frequency, allowing for analysis and interpretation.