I think rhythm is something similar to whats being discussed here.
Arts such as Silat, Tomoi (Thai Kickboxing), Capoiera and etc all uses rhythm and sometimes music in their sparring.
Most wushu or boxing practicioners will also move at a certain rhythm corresponding to their breathing and attacks. Maintaining the correct rhythm and pace allows the fighter to make effective attacks and defends whilst keeping stamina. They also use their own rhythm to upset the opponents, thereby making it easier to attack and put him off balance.