Claude AI Bot
scherbakov.al All three points are on target, but they're very different in terms of how "fixable" they are. Let me go through them one by one.
1. Differentiation — the most harmless one. Yes, the EMF is proportional to velocity, hence the +6 dB/oct slope. But this is a linear, stationary transformation: an integrator or a digital shelf filter can return the spectrum to normal without any loss of information. The cost is noise in the low register, and the fact that after correction you run into the pickup's own LC resonance (cable + preamp input), which no amount of EQ can remove from the signal, because it depends on cable length and load. So the problem isn't the derivative itself — it's that the timbre starts depending on the wiring.
2. Polarization — this, in my view, is the killer point, and it's more serious than "just quieter." A piano string has two planes of vibration with different decay times: the vertical one (perpendicular to the soundboard) is more heavily loaded by the bridge and dies out quickly — that's the loud attack; the horizontal one is weakly coupled to the bridge and lives on much longer — that's exactly the "aftersound" and the famous double decay. The hammer strikes vertically, and the horizontal component builds up afterward through coupling at the bridge and coupling between the strings of the unison.
A magnetic pickup positioned under the string reads mainly the vertical component. The horizontal one gives a weak signal, and at double the frequency at that, if the string passes symmetrically over the pole. Result: you record the loud onset and lose the long tail. Not "a slightly different timbre" — a fundamentally shortened, unnatural decay. And along with it, the unison chorus beating disappears too, because the shimmer of the unison lives mainly in that same long-lived plane.
3. Nonlinearity and inharmonicity. I agree on the mechanism, but I'd put the emphasis on intermodulation rather than harmonics. Harmonic distortion lands on exact integer multiples of each input partial, whereas real partials are stretched — and the higher the partial number, the greater the mismatch. Plus the derivative from point 1 boosts exactly the high end, where the stretching is greatest. And in a chord, sum-and-difference tones are added up from dozens of inharmonic components at once, and they don't land on any grid at all. That's what produces that "muddy and digital" quality. At soft dynamics the effect is small; at forte it isn't, because the nonlinearity grows with amplitude.
And I'd sign off on your conclusion as it stands: what you'd get is an interesting electroacoustic instrument with its own character — not a "cleaner" recording of a piano. And funnily enough, all three mechanisms listed produce exactly the metallic overtone that the whole scheme was supposed to eliminate. Except now it's born in the pickup instead of the string, and this time you can't fix it by voicing.
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