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I play guitar and mix sound. All of the tube amps I have tried for the guitar have a more pleasing sound by a long shot, it is nice to learn about the Fourier structure that you have shared. It quantifies and solidifies what my music ear has been hearing this whole time. Moreover, the tube amps that I have tried and own have virtually no noise coming from them when the guitar is quiet. SS amps are hissing like a pissed off snake.
Regards, Chris Maness