... Lets say you were viewing a Sine wave and it were normal on top, but when it swings the lower portion makes a V instead of a U so what you have is a U over a V shape. I am getting this from a 5879 preamp tube. Any idea?
The scope shows you what is happening, but it's on you to figure out "why". You may have to theorize a "why" and a way to manipulate that "why" then test it out and see on the scope (or by listening) if it had the desired effect.
The U on top and V on bottom sounds like it might be similar to Shooter's Max Sig screen shot, if you kept increasing signal amplitude. I'm gonna guess distortion, where you top U is a signal excursion that's being limited/distorted from reaching the same peak in the same shape as the bottom V. If you listened to the amp through a speaker with the same signal-level setup, I'm guessing you would hear the distortion as well.
So then the "why" part... Well it depends on where you were probing that stage. You saw the top of the waveform flattened a bit compared to the bottom... If you were probing the plate output, the positive swing of the signal is where the tube current is falling, which leaves less voltage drop across the plate load resistor and more voltage on the plate.
If you look at a set of curves for a pentode, you'll see the grid lines crowd together at low plate current, so there are smaller current changes for a given amount of grid voltage change. That sounds like distorting the cut-off side of the output wave. You might also conclude this is mostly
even harmonic distortion (one side bent).
You might make a note of the input signal size to that stage, and compare it to the bias and the output signal size at the plate. Does the peak input exceed the value of the bias voltage? If yes, then you're running the grid positive, getting distortion which coincides with the negative peak at the plate. What is the ratio of output signal/input signal? That will be your voltage amplification (gain). If you're getting less gain than predicted for the stage, you might ask yourself, "have I biased this stage properly? Do I need to move the idle bias so one side doesn't go into distortion too early?" But then the tradeoff might be than you idle to a point where the top & bottom of the waveform distort, which is odd harmonic distortion (though even may also be present). That will sound different.
Or maybe you checked the measured stage gain and then noticed you're slamming the stage with a huge input signal, larger than that stage would typically see. Now you know you are observing a condition on the scope that wouldn't be as-severe in actual use.
Anyway, point being that the scope is just another tool to observe what the amp is doing, but it requires a good bit of work on the operator's part to translate what the scope display means. I don't know if there is a good place out there to learn this stuff in one shot. If there is, I'd like to know about it and learn something myself.