@obarrett said:
It seems like next I should call a professional electrician.
I should consult with a professional either way though.
I agree.
You should call the building manager or Landlord. They more than likely have their own Electrical Contractor they use for the electrical work in their buildings. You shouldn’t have to pay anything. Some of the electrical is unsafe.
FYI, I would remove the 2 to 6 outlet "converters" for the day Electrician is scheduled to come out.
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As for the measurements in your above post.
Outlet 2 (TT, subwoofer):
RL: 120Vac
LG: 0.36Vac
RG: 120Vac
The Hot / neutral polarity wiring is correct.
Hot (small slot) to ground 120Vac is correct.
Neutral to ground 0.36Vac looks good.
If it were me, I would buy one, or two if needed, descent plug strips and plug all your audio equipment into it/them plugged into this wall outlet. At least until you can get an electrician to troubleshoot and fix the electrical wiring problems.
/ / / /
Outlet 1 (amp, preamp, CDP):
RL: 120Vac
LG: 120Vac
RG: 0.09Vac
This outlet has the Hot and neutral reversed, mis wired.
Therefore LG: 120Vac Is wrong, not safe.
I would not use this outlet to feed your audio system equipment. To be honest, I can’t see how you can...
Imo, outlet 1 ground is screwed up causing the 120Vac between outlet "1" and outlet "2" equipment grounds. The wire feeding the ground contact on the outlet is actually the branch circuit HOT ungrounded conductor. It’s not a ground conductor. Good chance the branch circuit is only a 2-wire circuit for Outlet "1".
If you have a drop cord to plug into another grounded outlet, that tested correctly for Hot / neutral wiring polarity, you could confirm if it is the cause of the 120Vac measurement.
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/ / / / /
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I was about to send this post when I noticed your latest post.
@obarrett
Looking for info on the VPI Classic TT I found this YouTube video.
Note the steel plate. Apparently, the tone arm tower base is bolted to the steel grounded plate. ??? I don’t have any proof it is though. Fact, you measured continuity between the IEC inlet connector EGC and the tone arm ground lug/ ground wire.
VPI Classic Turntable
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More reading material for you. 
Here is another possible example for the ground contact on the wall outlet, the TT has been plugged into,... to be Hot 120V.
Assuming everything was fine with the audio system until you decided you wanted to tweak the speaker placements.
IF by chance you unplugged the TT power cord from the wall outlet. (Or for any other reason the outlet could have been disturbed using it for other things plugged into it.)
Assuming the duplex receptacle was not grounded. (Therein two-wire branch circuit wiring. Old worn out 2 wire outlet was changed out to new 3 wire grounding outlet by a former tenant.
No wire is connected to the EGC ground terminal
Outlet opening is 1 gang flush rough-in steel switch box.
Hot and neutral are revered on the outlet. Therein the Hot conductor is connected to the neutral side terminal on the outlet. Neutral conductor is connected to the hot contact terminal screw side.
On a regular grounding type duplex receptacle, the EGC contact terminal screw is on the same side as the neutral contact terminal screw.
It is possible the duplex receptacle was not tightly fastened to the wall recessed rough-in box. Odds are it is not.
It is possible if the outlet was disturbed by, Unplugging the power cord and or plugging the cord into the outlet, the HOT neutral contact terminal side and the EGC ground terminal is now contacting the side of the steel 1 gang box. The side of the steel box is electrically energizing the ground contacts of the duplex receptacle.
This one you could safely check.
Remove the outlet plastic plate.
Once removed look at the neutral contact side of the outlet. Does it look like it is against the side of the steel box?
If yes, do you a plastic tea or milk container you can cut out a rectangular piece of the plastic? Slide it between the outlet and the steel box. You can cut a rectangular piece for the other as well.
Slightly tighten the two 6/32 screws that fasten the outlet to the box if needed.
Replace wall outlet cover.
Check the ground contact to see if it is still hot.
No need to reply to either post, unless want to..
If you have any further questions, you can always PM me using the Audiogon messaging system.
Jim