Do you not think that the cartridge designers know that the pivoting tonearm has only two tangency points? Look at the stylus designs. The have curved faces to allow for the changing angle through the arc of the pivot. I don't see a pivoting tonearm as a compromise.That's because you're misinterpreting tracking angle distortion.
Tracking angle distortion does not result from the interface of ONE stylus face with ONE groove wall. It results when the TWO contact edges of a playback stylus hit the opposing groovewalls at DIFFERENT times then the two contact edges of the original cutting stylus... ie, when they're out of synch.
Imagine an LP groove with an identical sound cut onto both walls (a perfectly centered image on a stereo LP or any mono LP). The two groovewalls are mirror images of each other, right?
Now imagine playing that groove with a line contact or other modern stylus. If this stylus is not angled exactly the same as the (even sharper) cutting stylus, one contact edge will encounter the (supposedly identical) sound before the other contact edge. This puts the two channels out of phase and that muddies the sound. TA-DA!... tracking angle distortion.
A conical (aka, spherical) stylus will be less distorting (in this respect) than the radical, modern styli. Modern contact radii are much smaller and thus emphasize any errors in timing between the two groovewalls. This is why many mono catridges are fitted with conical styli. The reduction in tracking angle distortion somewhat compensates for the loss of HF extension that's inherent in styli with larger contact radii.
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Peter - thanks for checking... I think! lol. FWIW, I never move my arm anywhere near 2mm. My entire record collection falls in a range of a couple rotations of the VTA tower dial. Most fall in a much tighter range than that.
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Tonywinsc, I think your last post summarized it well. Trust tools to do the limited things they can do. Train your ears to do the fine tuning.
Listening is not only the final step of the process, it's the purpose for which we go through the process at all.

