Wiktionary
counterrhythm
n. A rhythm that complements another rhythm.
Usage examples of "counterrhythm".
Pak Dorren drummed her fingers on the back of the stool she was straddling, her feet tapping an uneven counterrhythm on the rungs.
The beat is now a notch faster than your basic pulse rate, lots of other beats and counterrhythms woven through it, and the chanting of the individual singer has become a wild semi-organized choral phenomenon.