Hear Ye, Hear Ye, Math = Sound Waves!
There is a lot of information on the web about sound waves and the mathematical patterns surrounding them. For example, the changes in air pressure produce sine curves such as this one below.
Of course, there are complex formulae that apply in calculating sound effects. When we listen to a radio or TV we hear sound that is produced electronically via a speaker.
The speaker has a cover or cone that moves as the air pressure changes with the change in frequency of the electronic signals, called hertz.
“The hertz (symbol Hz) is the number of cycles per second of a periodic phenomenon. One of its most common uses is the description of the sine wave (seen here), particularly those used in radio and audio applications, such as the frequency of musical tones. The unit is named for Heinrich Rudolf Hertz, who was the first to conclusively prove the existence of electromagnetic waves.” (note from Wikipedia). If the Sine wave is more compressed, then there is an increase in the number of hertz. You can see this at work here.
Animals are able to hear across a different range of hertz signals. Check out some of these at this excellent site for students.