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"do I need shielding?" can easily be answered by checking if you have a noise that stops when you touch metal/strings/bridge
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I agree with this last statement, but with the caveat that the bridge has to be electrically grounded to the controls & shield side of the output jack.
I also agree that
Stew-Mac is not the place to buy shielding tape, or most things actually, unless they're the sole source.
It would appear my Ibanez Premium has decent shielding (looks like thick graphite paint), but is mildly noisy if a pickup is soloed. (Nordstrand Big Singles)
This separation of 60 Hz hum from other noise is what I'm not getting. Even if It's a 60 Hz tone, unless it's coming in through the power lines, it's EMI or electrostatic noise (what you always call RF interference).
Humbuckers also address most electrostatic noise (or what you call RF interference), not exclusively what people call "60 Hz hum".
Someone explain why if touching grounded strings doesn't change the noise that shielding won't help?
I have an open mind, but I like to hear/read reason...
How is that noise different from other EMI/electrostatic noise?
60 Hz hum through the amp's power lines used to be a thing, but what people are calling 60 Hz hum now is being induced through the air, so it's EMI or electrostatic interference.
Case in point, Chicory Blue was running her bass on a battery-powered amp & still had noise, so the noise was coming in through the airwaves, i.e. EMI or electrostatic noise.
FWIW, this is a 60 Hz tone:
That is not the tone I'm hearing with my single coils.