My only recommendation is to tune your bottom head tight tight tight. The drum will really sound like it's supposed to then. After that, it will sound good tuned at low, medium, or high on the batter. Whatever you're in the mood for that day.
You have to get a feel just how tight....that tight is, on the bottom head. It's tighter than you may initially think. If you feel you might be stretching the mylar on the bottom head, you're probably right there.
What I do, when I get it where I like it, with the snares off, I tap the bottom head and listen to the pitch. I memorize it. When I go to play, I give the bottom head a little tap, and I can tell by the note if it needs tightening.
Very nice Mart! With the gear you now have you could play any kind of gig. That is a snare and some cymbals that you will never outgrow. Diddles are coming along nicely too. Check out the 5 stroke roll, I have gotten a lot of use out of that rudiment.
My new (to me) Supra is sitting on the back patio as a naked shell. Going to finish polishing it up tonight.