PS - MudPed I had a quick read through your link on overtones and harmonics and it really emphases why what Eric says has to be listened to very carefully and many times . The position of overtones and harmonics in a musical context are entirely different and should never be intermixed or confused with the electrical term...
Duncan, I appreciate your clarification and I do agree. The musical web links serve simply as an intro to the concept of "unusual resonances" which can creep into circuitry. In most applications those "spurious resonances" which are non-harmonic to the desired signal are a bugaboo which must be supressed. In other more esoteric applications those non-harmonic overtones are precisely what is being sought and effort is given to the prospect of increasing their power. Complex wave shapes can often produce almost magical effects. Think non-standing wave pulses.
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