It all depends on the depth of your snare and the margin you have between your two heads. If you have a 5", and you want to have it at a high pitch, let's say, A3 or A#3, or even B3, it all comes down to the interval you have left. Over 400 hertz for your bottom head and it will choke the drums so, 392 to 398 is a good range but if you want to get your usual 5th with your batter head, on a 5" deep, the batter will be too loose, then you just dial a 4th or a 3rd between the two heads, I'm always on the side of thing with the bottom head higher than e batter head.
But recently, I was feeling that my snare was too tight, I was a bit afraid to tighten it down (Ell to loose it down in fact) but it was tough to have a good reading with the tune bot and it's usually the same when the bottom head is too tight.
So, I asked my store and I was right (Yes, when I'm not sure of something I ask here and visit my drum guy at my store, I know, shame on me!!!!), we had to losen down the bottom head because it was at 409, even 413... Due to humidity that had expanded my Star Reserve Maple plain snare 14X5 and thus, without doing anything, it had tighten the bottom head to a point that it was like a marble table top feeling. I loosened also a bit the batter head too and went back to A#3 for the snare tuning and it was way better.
But on the 13", Benny Breg 13X5.75, I had to tighten it more on the bottom head, due to the smaller diameter to get the same result. I have a 3rd on the Tama 5", a 4th on the Benny Greb and a 5th on the Star Reserve Sendan, between heads, because the Sendan is 6.5, then, more room to play with the heads without having the bottom too tight, over 400 hertz.
Last thing I always have to do is to make sure none of my snare is at the same tuning of the Toms, even by an octave or I have more sympathetic buzz, so, Toms are C2, G2, B2, E3 (16, 13, 12, 10) and thus snares are either F#3, G#3, A3, A#3 and my 15"X8 snare is C3 so, best tuning I found.
But again, do not tighten it too much, half of a turn or even a quarter turn could go a long way, you can always go lower in the bottom head if you keep the interval you chose (a fifth, a forth or a third) with your batter head, usually the tuning that is the sweat spot for your snare.
And be carefully with the change in weather with any solid one ply shell.
Funny, I cannot believe I have given advices on tuning, I spent so many times learning all of that!!! That's why I have 4 snares in the kit, easier for me to change playing another snare on the fly than tuning again the same snare, too much work, well, too slow I am in doing it, I use only quarter turn all the times, even less.