Hello Jhardy13,
I am a late comer to your discussion and I beg your indulgence. I wonder if you realize that all three of your clamp on ammeters are none true RMS meters. The Klein CL210 and the Etekcity MSR-C600 units may give you erroneous reading in the presents of non-sinusoidal currents. Your images from the spectrum analyzer indicates a 50 dBu gain at 381 Hz. Since dBu is based on a reference to 0.775 volts, this suggests a peak voltage of 346.4 volts and an RMS value of 244.9 volts just as the analyzer shows however, it also suggests this is a reoccurring event at 381 Hertz and if it is not a harmonic, then I suspect a possible resonant circuit on the 240 system which may be on either one or both 120 volt to ground loads. The voltage waveform shown appears to be on one 120 volt leg to ground and does show distortion on both positive and negative peaks which suggest either harmonic loads or resonant loading higher enough to lower the voltage as it attempts to climb to the peak value. I also notice your PicoScope6 has an FFT button on the screen. I would ask you to do the following measurements if you can:
1. Using the PicoScope6, capture three waveforms, L1 to ground, L2 to ground, L1 to L2. Print these out for us.
2. Using the FFT function of the PicoScope6, Do the FFT on the three waveforms captured in #1 above and print these out for us also. These will show us the Harmonic content of each voltage waveforms, which I expect will be very low.
3. This request is a little harder in that it requires the use of a Hall-Effect clamp on ammeter. This type of clamp on ammeter will measure AC or DC currents by converting the current to a voltage usually on scales of 20amps to 2 volts or 200 amps to 20 volts, such as the Fluke i400 AC Current Clamp. This may be connected to your PicoScope6 and it will read the current as a voltage waveform and then you can apply the FFT to see the harmonic content. The single difference here is that you should take three current waveform, L1, L2 and neutral.
4. If you could secure a true RMS clamp-on meter, I would ask you to read the current on each leg, L1, & L2 then the neutral. Do this with only one meter, not three. The reason is that the currents won't change enough in short time you are taking the measurements and by using only one meter, whatever errors or inaccuracies the clamp-on may have is equally applied to all three reading. The reason I suggest this is there was no mention of where you calibrated each of your clamp on units to at least each other. I.E., if you put all three clamp-on ammeters on the same wire, do they all read the same amount of current? Probably not.
Once you have done this, if you want, I believe we can help point out the possible source of your problem. Also, as a point of discussion, there may indeed be harmonic currents on your system as most switch-mode power supplies do add harmonic loads. The same is true for the use of CLF lamps and some LED lamps.
Hope this helps.