From what I gathered 2ndorder distortion is caused by a tubes inablitiy to amplify the positive and negative portions of the signal equally. It is pronounced in SE amps because they only use one tube but is cancelled in push pull amps because the two tubes are equal and opposite. I was wondering if you could introduce some 2nd order distortion by lowering the gain to one of the tubes in a push pull amp
You can adjust the phase gain balance a number of ways. Could experiment with plate load resistor mismatch in PI, could use slightly mis-matched (heresy !) PI triode stages or slightly mismatched output tubes. Smaller plate load resistors (~75K) in your 12ax7 preamp stages will also add some 2nd harmonic distortion. It works - I have done it.
If you are concerned about 120 Hz rejection in your mismatched output stage, remember, you only have effective rejection when both tubes are conducting. On large signal swings in an AB output stage, one tube or the other will be off during part of the waveform. During these events, the common mode ripple rejection is lost.
Everyone talks about matched pairs and ultra matched triodes in your PI, but you know Fender and Marshall didn't spend a lot of time hand picking tubes for their amps that we call "vintage" today.
Experiment and you may find that you like more 2nd harmonic distortion. Even harmonics are sweet, but you still need some third and fifth in there if you want some crunch.
cheers,
rob