Introduction to Computer Music: Volume One

8. What is phase? | page 3

In real-world acoustic environments, constructive and destructive interference occurs constantly due to room acoustics and other factors. In fact, interference between the sound source and reflected waves is key to producing standing waves. Sometimes taking a small step to the side may completely change the timbral characteristic of a sound because it alters the phase relationship of the source and its reflections. Stereo microphone pairs that are improperly placed can inadvertently lead to unwanted phase cancellations at certain frequencies.

Two sounds with a small difference in frequency, say two piano strings of the same pitch, may be perceived as a single sound, but as the waves evolve, they move slightly in and out of phase with each other. The resulting constructive and destructive interference produces a pulsation of amplitude. This pulsation is known as beating. The rate of pulsation, or beat frequency, is the difference in frequencies. A string tuned to 440 Hz and another tuned to 441 Hz will produce a pulsation once per second.

Use the interactive example below to create beats for yourself. Turn on the 440 Hz sine wave, then turn on the 441 Hz tone. (See if you can time your click to the 1-second timer.) This will produce one beat per second (441 - 440 = 1). Turn off the 441 Hz tone and click on the 442 hz tone. This will produce two beats per second (442 - 400 = 2). What happens when you activate all three tones?

For further study, see Hyperphysics->Interference, Hyperphysics->Beats

___________________
1 Dodge p. 29-32

1 | 2 | 3

| Jacobs School of Music | Center for Electronic and Computer Music | Contact Us | ©2013 Prof. Jeffrey Hass