matyas wrote:A ring-mod (also called balanced modulator) works using amplitude modulation. It multiplies two signals (a carrier and a modulator) together to produce sum and difference tones. So if your carrier has a frequency of 100 Hz, and your modulator has a frequency of 400 Hz, you'll get sidebands at 300 Hz (400 - 100) and 500 Hz (400 + 100).
Slight clarification: a balanced modulator is a kind of ring modulator which has a supplied carrier frequency, usually being the input itself but it can also be just a generated wave form. If the 2 wave forms are the same, you're getting an octave effect, until you get into chords, at which all hell can break loose.
A true ring modulator can use anything as the carrier, from gregorian chants to sine waves to the latest popular musical CD from a significant artist. These were invented for FM radios to help sort out the modulated radio waves and can be extremely unmusical, but occasionally very fun.
And generally they provide sum and difference, not multiples - as your math illustrated.
For an example of a properly deployed balanced modulator, I refer you to the song "Hobbies", which features a very noisy modulated guitar:
http://www.myspace.com/ovipositor