Originally Posted by

**tashirosgt**
That has to do with how we may analyze a complex waveform as a sum of simpler waves - and how our hearing system is constructed to perform such an analysis. **My point is that a resonant system usually does not consist of separate pieces, each vibrating at pure frequency. ** So analyzing a waveform as a sum of other waves is just one mathematical option.

By analogy, if we are given a sequence of numbers 2, 4, 4, 4, 2 we may imagine it to be constructed by summing the sequence 1, 2, 3, 2, 1 with the sequence 1, 2, 1, 2, 1 and, objectively speaking it is indeed such a sum. However, this mathematical analysis does not demonstrate that a natural phenomena producing the sequence 2,4,4,4,2 generated it by generating those two sequences and adding them together. For example, 2,4,4,4,2 is also the sum of 1,0,0,0,1 and 1,4,4,4,1.