...I was getting round to saying was that square wave distortion adds to the high frequency content rather alot in a pretty nasty manner, ...
It doesn't really.
Take a look at:
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Try a Sine wave, and a Square wave.
First I hope you hear a square wave doesn't sound that bad. On the same page it mentions clarinets and recorders being closed pipes produce square waves and they can sound pretty good. Second, you'll see that the odd harmonic series to get a square wave is actually very little.
But a bass waveform is not a sine wave. And it doesn't turn into a square wave when clipped.
Load up a copy of audacity and load in you favorite bass playing just one note. You'll see first of all it's a complex waveform and it's asymmetrical. If you were to lightly clip it, it would clip one one side of the waveform more than the other. This is going to add some even harmonics.
Audacity and other sound software will let you do a spectrum analysis of the waveform. Try it before light clipping and after light clipping. There will be hardly any spectral difference.
Try it with heavy clipping and you end up with the Rane paper effect of bass compression and high frequency content from the input overdriving the hf drivers:
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Also:
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Most all the HF content is coming from the input signal itself and not from the amplifier clipping.
Part of the confusion here too is "THD" rating. Total Harmonic Distortion is too vague of term. What kinds of distortion is the amplifier adding? There are many different types of amplifier circuits and classes, and many types of output devices, all can create different distortions.
Consider a class-ab. If you were to feed it a sine wave, and overdrive it into a square wave. And say the power supply doesn't have enough poop to keep the rail voltage pegged. You'll get sag that looks like a sawtooth. Also you're likely to get crossover distortion as the signal crosses zero since the power supply couldn't hold it steady.
Contrast this to a class-d amplifier to which it isn't possible to get crossover distortion.
These two topologies are going to have different types of distortion mixes in their "THD" ratings.
All I'm trying to point out is you can't generalize all SS amplifiers into behaving the same. You wouldn't be able to say they all sound bad when overdriven.
Also with SS amplifiers easily providing 1000w these days it's hard to say you'd ever need to overdrive them as much as just a few years ago.