OK note he has a Brass shell. This has a fundamental sound/tone of its own... He is using a
Evans HD Dry head on top (batter side) to eliminate overtones and I am sure he is using a less sensitive snare wire to eliminate buzz.
The batter head is usually tuned pretty darn tight but the snare side is usually tuned pretty tight as well. I usually take the batter side off while I tune the snare side, as the sound you hear most distinctively is the snare side (after all, the snares popping against this head are what you hear most, so this is the fundamental sound of the snare drum). I try to get the pitch I want, making sure the sound is consistent around the drum at each lug. I then replace the batter side and tune it up tight till I get the stick response I like... The finished sound is based on a lot of things: snares off, it sounds about a 5th above the 12" rack tom; the batter ad snare-side heads are resonant to each other; moon gel or studio rings can help dampen any unwanted overtones etc....
From this point on it's all about personal taste-- I like my snare warm, dry and medium-hi pitched, but I want a little thump in there too so it doesn't sound like a piccolo snare. I have a 14X6.5 inch snare to add a little of that lower-end punch and it's mahogany so it has a warm fundamental tone.
Here's a link to the best site I've ever seen on drum tuning. I have developed my own way of tuning over the years, but have still found this information valuable in helping me to select the tuning for my newest drum kit:
Drum Tuning Bible
Hope I've helped in some way....