Introduction to Computer Music: Volume One

8. What is phase? | page 2

When waveforms of either the same or differing phases are combined, they interfere with each other, and their instantaneous amplitudes are summed to create a new composite wave. This is a fairly simple-to-predict process with electronic circuits, but is far more complex in the realm of acoustic sounds, as we will see below. For waves of differing phases, the fraction of a period between peaks is the phase difference and is also expressed in degrees, as above with the sine and cosine waves. Two waves with the same frequency and phase will combine to create a single sound of greater amplitude—this is called constructive interference.

Two identical waves 180 degrees out of phase will completely cancel each other out in a process called phase cancellation or destructive interference.

Often there is a combination of both destructive and constructive interference, as pictured below in a mix of a sine wave and cosine wave of equal amplitude and frequency. Notice how the result is a sinus-shaped wave of slightly greater amplitude than either component, but slightly out of phase with both.


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