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Wave Math: how sound is mixed

To understand how sound is mixed and different sounds interact (notes from one or different instruments) we are going to study different sine waves.

In this first example we have 2 sine waves.

A single wave (red)
A single wave (green)

{wavemath1.gif
The green wave is exactly the double of the first wave. Just like a 1st harmonic would be. We use this to give you an idea how the result of a single note would be.

{wavemath2.gif
This second example shows the resulting new wave (blue). This new wave has all the properties of the first two. It is created by simply adding the values of the individual waves at each point.
Positive values of both waves result in a higher value for the blue wave. As soon as the green goes negative the blue wave starts dropping too.

This new blue wave is a sine wave with a 1st harmonic. A true string sound would have more harmonics which would all be added to the resulting sound wave.

This prinicipal of adding waves works the same for any kind of equipment too. A mixer, for example, would mix two different channels by simply adding their values. If it is an anlog mixer it would simply add the voltage values. A digital mixer would add the digital values.
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