Drum Tuning

The art of tuning drums depends on many factors; the type of skin you are using; the drum material and size.  If in doubt ask at your local drum store.
I recommend the Tama Tension Watch (TW100) it allows for quick and accurate skin changes, however I do not rely on the TW100  fully, I always finish off by listening to the tuning at each lug. The TW100 is also a good tool if you want to experiment with different tunings, but make sure you keep notes of the settings.

The main sound of tom originates from the bottom skin so make sure it’s in good nick; for good sounding drums never put old batter heads on the bottom skin

There are four combinations as a guide for basic tom tuning

I put the bottom skins on all the toms getting the tension correct, this is usually just above slackness, I make sure that the sound I want runs througheach of the toms: I usually use a Mary Poppins song try to pitch the toms “Do Ray Me Far” when I’m happy with the bottom skins the tops go onthe drums to one of the combinations mentioned
In general, rock, funk, and blues drums are usually tuned in the lower ranges; often with some pitch bend that you can get down low; sometimes thuddy and boomy. Traditional jazz is about higher ranges with clean, defined tones

There is nothing like experimenting with your snare drum(s) to see what sound you can get out of them. The balance between snares, skins and dampening makes a great difference. I like a tight crisp snare so that I can execute rolls easily. Other drummers tune lower and have denser damped batter heads that produce a good thud but the sound is more "open"

Dampening Drums
Personally I feel that dampening is over used, however, to test if your drum needs to be dampened I hit the drum, listening for rings then press my thump against the drum to see how it would sound if dampened. There is a product called ‘moon gel’ that is great for dampening drums