Can't exactly specify where, but it's in the Giant Chasm somewhere.
2nd Answer:
TM13 is in the Plains Of Giant Chasm. Which is some point outside.
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TM13 is Ice Beam, you can find it on Route 216.
tm 13 is ice beam im also playing pokemon fire red and its getting very addicting!
You can find tm 13, Ice Beam, on the roof of the Celadon department store.
You have to go to the Celadon Department store Roof and there will be a thirsty trainer. Give him a Fresh Water, and he will give you Ice Beam TM13
There is no Contest Hall in Pokemon Black because Pokemon Black does not have Pokemon Contests. Instead of Pokemon Contests, Pokemon Black has Pokemon Musicals. Pokemon Musicals are held in the Pokemon Musical Building in Nimbasa City.