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the sum of each harmonic's slew rate requirement
No, as discussed.....
And if we DID have huge slew-rate on the LP, the needle would break. On CD, big slew may be possible but would HURT the ear if it happened often enough to be audible.
Back in the old days, one high-slew passage was the organ solo on In-A-Gadda-Da-Vida. I can think of some later stronger stuff, but I don't think you EVER want full peak above 6KHz.
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around 0.2V/us which means that a 15V/us opamp really is more than sufficient.
Well, maybe, maybe not.
What happens in the studio is sometimes (though rarely) stronger than you ever want to hear on record. Teeny metalophones can ring past 20KHz, a few small condensers go way past 20KHz, and too-close mike distance can give huge levels. Somewhere down-chain you will low-pass, but that first stage perhaps should tolerate some fast signals, at least not overload rudely. (OTOH, you could move the mike back....)
And the quoted slew-rate is GROSS distortion. It's like saying my car-radio makes 37 Watts.... at 100% THD. It is with the input device SLAMMED past the linear range. We want to stay FAR away from this point for cleanliness.
How far is "far"? Doug Self published some:
Article
graph: http://i.cmpnet.com/audiodesignline/2008/01/self_ch17_fig5t.jpg
"Slew" puts the input devices to their limits, here +/-1.2mA. The transfer flat-tops, gross distortion. But if you squint +/-0.12mA, the transfer is smooth, distortion is small. And by the nature of listenable music, high slew rates should be rare. So even if that's 1%THD at +/-0.12mA, you probably won't hear it.
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lets say 4dBu ... about 1.78V peak
That assumes you have things under control. Sometimes, mike in hot room, your preamp output level is NOT "under control", may be 12V peak. Then we have 1.5V/uS. Maybe more if you are picking up ultrasonics. But still, "1V/uS per Volt of peak signal or supply" gives a lot of margin from slew.
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Off-point but perhaps of interest: an IEEE paper on transistor distortion, with some easy points for napkin-analysis:
http://amesp02.tamu.edu/~jsilva/610/Lecture%20notes/Papers/Distortion-Sansen.pdf
"...a bipolar transistor carries a dc current of 1mA and an ac peak current of 100uA. The peak relative current swing is thus 0.1. Without feedback IM2 = 5%, IM(3) = 0.125%, and Vbe = 1.84 mV RMS".
A paper on audio distortion:
http://www.cco.caltech.edu/~musiclab/feedback-paper-acrobat.pdf