The real issue is the circumference of the replacement tire. When replacing just one tire, you should make sure the replacement is very close in circumference to all of the others. Audi publishes that the "rolling radius of all 4 tires must remain the same".
The best way to do this is to replace the tire with exact manufacturer/model/size tire. The new tire's tread should also be within a few 32nds of the other tires. I believe Audi recommends being within 4/32" or less. Some places have tire shaving services for this purpose.
Using the same brand/model of tire will ensure that the new tire will wear down at relatively the same rate as the others (keeping the circumferences the same throughout the life of the tires).
http://www.tirerack.com/tires/tirete....jsp?techid=18
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