Tenka Musou Cup is the name of the team tournament that was first held at the same place in 2012, for the first game–Shin Koihime Musou: Otome Taisen Sangokushi Engi. The game was later ported to PC and PS3. The sequel, Koihime Enbu, was released on July 17 in the arcades.
Koihime Enbu was used for the first time in this 5th Tenka Musou Cup 3 on 3.
These match videos are from the official stream here. (Audio sync problem is from source) Brackets are here and here.
As you can see, this game is footsie-based, Samurai Shodown style. You can do long combos only after a counterhit by the move called Hougeki (It's SF4's Focus Attack minus Armor and Dash Cancel). There's no comeback mechanics.