Well, how about the third harmonic component generated by saturation in analog tape recorders? Driving biased tape more into saturation is reputed to add a punchiness to low frequency information in a way that is certainly preferred by some. In this case it adds a tone that is an octave and a half above the fundamental and that is considered a good thing in certain instances and contributes to the "tape sound".Yeah, except I've never heard anyone who liked odd-order harmonics.
Transistor harmonics are odd, tubes are even. We likely do not mind even order because the ear canal generates even-order harmonic distortion, as do natural environments like forests, and the brain readily removes even order, so it's a more natural sound, whatever way one interprets that. Even-order sounds warm and relaxed, like a whiskey aged in a burnt-oak barrel forgotten for a century in a broken down barn and allowed to slow age in the seasons. Odd-order is that grating sound of nails on a blackboard that makes one want to emulate Godzilla in Tokyo and smash the amplifier into rubble.
The ideal amplifier, as Harman-Kardon put in one of its ads, is a straight wire with gain. That is, it does not alter the input signal other than to make it larger.
Incidentally, I am well aware of the psycho acoustic issues that you describe, but they are hardly a complete set.
In fact, plug ins and hardware exist to add controlled second and third order harmonics (and even higher order ones) to recordings in order to duplicate the "analog tape sound" and other effects in both digital and analog environments.
By the way, unless I missed something, I'm still awaiting a reference for the rectification-effect generated distortion in electrolytic caps- restricting it to bipolar isn't necessary, but I do wish for it to be restricted to ALoxide types. I can find references for rectification in monomolecular films involving Al oxide, and that makes sense from a quantum mechanical point of view, but I cannot find a reference that involves bulk oxide layers, nor can I find any references that describe any changes in non linearity associated with changes in the polarity of the voltage across the device as long as the reverse polarity is restricted to less than 1.5v or so, and at that point the devices are approaching failure.
I would welcome the enlightenment as clearly I am harboring an illusion.
If you have already provided this information, I apologize.
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