Pickups don't PRODUCE any frequencies.
They magnetically transduce a PORTION of the frequencies of the strings.
They magnetically transduce a PORTION of the frequencies of the strings.
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Okay, I'll play the "percentage" game.
STRINGS: Produce 100% of the frequencies available
STRUCTURE: Damps out maybe 10-25% of those frequencies in the string's vibration.
PICKUPS : Transduce magnetically a portion of the remaining frequencies
Pre-amp and amp: Get to play with whatever's left.
If using this logic one could assume an ultra light basswood body with a single piece bolt on maple neck will dampen string vibrations differently than an ultra heavy Macassar ebony body with a multilam maple/ebony/purple hart neck thru construction. The former dampening closer to the 25% end of the range and the latter dampening out closer to the 10% end of the range. Is that a correct assumption?
GBassNorth... That's pretty much what I was thinking.
The percentages are just a guess, but you certainly got the idea. It's a mostly subtractive process.

BTW- meant to say that pickups produce the 'signal' (which is a product of the strings frequency of oscillation in the magnetic field).
This is my opinion, I'm sure others will have other ideas.
Pickups/Preamp 50%
Strings 40%
Fretboard wood 5.5%
Bridge 4%
Body Wood 0.5%
Fingers 80%
Cool shoes 10%
Full head of hair 5%
Nice "package" 5%
Only 5% away from perfection...
Fancy top wood 25%
Headstock shape 25%
Headstock label 25%
Tort pickguard 25%
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