59 when played down to a winning team
120 players = 60 doubles teams in order to get 32 teams for the second round 4 teams get byes and 28 matches are played, then 16, 8, 4, 2 and 1
If the bye is applied at the 15 team stage i.e. 30 matches then 15, then 7 matches and a bye the total number of matches is the same.
All this presumes a regular style knockout of course