Per my Reply #13: "the balanced nature of this OT is a red herring. The problem exists with any tranny outputting AC whether CT'd or not; or any AC waveform."
After sorting through all this, I now see, and agree, that the problem should have been stated: "How to determine phase with a 'scope?" However, if I then knew how to phrase the phase question, I probably would already have known the answer; whereby this thread would never have come into existence.
I have a scope, an old HP gathering dust, along with some tube based toys. I along with others did not know the need for an external trigger.
IMO, Your question, is applicable to the forum, as you are probably not the only one to run into this problem. It was a good topic.
regarding the "red herring", because, the tranny was set up as a ct tranny, did the phase become important, and hence, your all important question, "why can't I display the two phases on the balanced transformer output", and the discussion led to the need for an external trigger.
Slightly off topic, but relevant to the amp, Stromberg Carlson, as far I as can tell, allows you to set up this amplifier as non-ct output. If you look at the 115v output, a different winding is wired in by jumpering the ground lug, to the nearest 70v lug, I believe in order to keep the transformer from smoking, the factory installed ground to ct external jumper would need to be removed.
Again thanks for the interesting thread.