Sorry, you caught my omission, I am using two 10X probes. The pictures I posted are the 'before' pictures, I hope to take the same pictures after I add the .01uF snubber caps and the RC snubber circuit. Also, the series 10 Ohm 2W resistors to each secondary leg.
I think the clipping, if it is clipping, is coming from something downstream. I have never seen clipping like that coming from a power supply with no load. It may be the TIS97 transistor that is being used as a Zener diode to limit the voltage, not sure.
I was reading 15.38VAC on one secondary leg to the CT (Ground) and 15.40VAC on the other secondary leg to CT. Leg to leg measured 30.80VAC on the HP RMS Voltmeter. These are nominal voltages according to the Service Manual, which describes the power supply as +/-17VDC.
My understanding is that the .01 caps across the diodes suppress (snub) the voltage spike as the diodes switch on and off (as the cap charges and discharges), this is a common and effective practice. The series resistors in the legs of the secondary leads provide a discharge path for the bridge rectifier snubber .01uF capacitors. The other half of this noise filtering exercise is the 60Hz RC filter across the transformer secondary winding. Here:
According to the article, you can mathematically determine optimum values for the film capacitor, C1; and the discharge resistor, R1; between 47nF-1uF and 4.7-47 Ohms. However, the nominal values of 220nF/50V and 10 Ohms/1W should work fine. I will try those values and report back.