The guy who tuned my piano most recently does not use a..what's it called... one of those electric things for measuring the wavelengths of sound. My usual piano tuner does use one. This new guy said that he tunes the upper register slightly sharp and that this correction, while not as precise physics-wise, sounds better to the human ear.

I have no opinion on this - the piano sounds great but it also sounds great after my usual guys tunes it. I have decent relatively pitch but that's about it. I don't *think* I'm detecting any difference but there have been several people on this site who have argued that there's a lot of sub-concious stuff going on with sound qualify and the like.

So what's the consensus out there - should tuning be digital or analogue?

With or without an electronic device isn't really the right way to frame the question. With either method one can arrive at different tunings ie slightly sharp treble etc. What matters most is tuning the piano within its 'comfort zone.' Individual notes can be perfectly in tune, but the overall effect is that the piano may sound a bit sterile, or harsh, or muddy, etc, depending on whether on not the inharmonicities of individual notes, and scale have been taken into account, and then what the performer is looking for*. My piano, which I've had for just over a year was tuned three times, the third time by a different individual than the first two times. The noticeable difference was the treble was lowered, becoming more warm, and the tenor section appeared to have more clarity when playing complex chords.

*I'm sure there are is some important terminology that I'm missing but nevertheless my point remains the same.