rhythmically

Breaking the offending sentence into two sentences is grammatically correct but often rhythmically wrong.

He danced rhythmically—at times, as if he were alone in his own studio—and circumambulated the blocklike Rick Owens furniture.

Knife and fork push against one another rhythmically on the plate, like oars on a boat.

They wait patiently until his task is done, all the time purring gently and rhythmically in a sort of sotto voce accompaniment.

The heart was exposed and compressed rhythmically; it was restored to action, and he began to breathe.

Thoughts ran on rhythmically, in the steady, flashing movement through verdant England.

In accompaniment, some one was beating softly on the anvil, and the bellows were blowing rhythmically.

When I go to the barnyard after night I can hear her grunting rhythmically under about four feet of straw.