Tony, I'm sure your CRO is way better than my 20+ year old dual trace BWD job. Watching for tiny amplitude changes of a none to stable trace (can't slow the timebase too much or I get intermittent trace bursts) is not easy at all.
I did wind up the frequency to over 200Hz and back down several times, the only amplitude increase was at 75Hz with the selected capacitor. Any bigger caps gave that peak at much lower frequencies.
But I will test for your harmonics suggestion tomorrow. Might write it down as a list for each different cap sizes and test to over 200Hz for each.
BTW, I did not notice any "distortion" of the sine wave at the resonance peak, just an amplitude change. I do remember from trade school way back the very distinct peak of a parallel resonance but that was at a very much higher frequency and smaller coils.
You could easily try my multimeter trial at your place, I cannot try your precision oscilloscope method due lack of good enough equipment. Lets see what you find out. Klaus