Oh the lament of the snare buzz.

It's not a bad thing, not at all.  The snare's are always going to react to vibrations around them, due to the nature of the drum.  There are certain things to can do to lessen the amount that they vibrate.

Firstly:  Make sure the drum is in tune with itself, and that it sits comfortably with the toms.  If one of the rack toms is tuned to a similar pitch as the snare, the snare wires are going to get all excited every time your drummer hits that tom.  We could talk for hours about how to tune your drums, but I would suggest reading The Drum Tuning Bible http://home.earthlink.net/~prof.sound/ for starters. 

As a last resort, you can dampen the wires.  I've found that threading a ribbon through the wires can have a nice effect.  You can try detuning one of the lugs on the snare.  You can remove the offending tom.  You can put a piece of moongel on the bottom head.  All of these are ways that will affect the sound of the snare.  Except removing the tom, that will only hurt it's feelings.

Remember, you don't want to completely dampen the snares.  They are part of the sound of a drum kit, and you'll miss them if they aren't there.

Nate

The dumper doesnt help in this ocasion.
I have pearl sensiton snare,and iam dealing with that problem easily:adjust it  properly,there must be some kind of clutch,or simple clamp or so,to the level of not hearing the annoying snaresound couse of resonance.
Cheers

i have 5 snares in my collection , 2 of them have snare beds cut in the shells , i notice the snares dont vibrate on these 2

I agree, yankeeboy.  Also, the snare bed (should be in all snares) is important, as well as the tuning.  I was taught to de-tune (a bit) the lugs directly on either side of the snare tie-strings, that should let the head apply a bit more pressure to the actual snare wires.

Don't forget about the obvious-the tighten-screw on the snare strainer.  Try tightening it up a bit, if you havent already.  I've typically found that there is a perfect balance between head tension and the strainer adjustment screw(knob).  In my experience, high snare head tension and moderate strainer adjustment.  Play with it.

One more thing...don't forget the importance of correct head tuning.  Release the snare strainer, set the drum on carpet, and check the pitch at each lug on the batter head.  If these are off, it can really give some strange sounds and response.  One might think it's not important on a snare, since the wires are basically choking the drum, but not true.  I'll say its not as critical as a tom, but still very important.  It can do really strange things if its not right.

Another tuning solution is to tune the bottom head slightly higher than the top. Then make sure that the snare is NOT tuned to "rattle" when the toms or the bass drum(s) are hit. Once that is acheived, loosen the tuning lugs just on either side of the snares approximately 1/2 to 3/4 of turn. That should get rid of any rattle.

Yeah, when the show is going on, I don't notice any snare buzz.  I think it gets lost in the mix.  (But we still know its there!)  Haha, sounds like this thread did answer the question though.

I have never thought about rotating the snare to solve sympathetic buzz.  When you say horizontal and vertical do you mean parallel and perpendicular in relation to the bass drum?  Normally my throw-off is on the left front where I can reach it easily.  This would place my snare wires at a 45 degree angle in relation to the bass drum. 

I used to keep my snare throw at 3 o'clock, now I keep it at 12 o'clock. It's not a cureall for snare buzz, but it helps on my set.

I am curious to see what your results are. I just figured it was my set, or maybe the way the acoustics bounce around in my basement. It would be nice to see if it works elsewhere.