Examples from the Web for rhythmically
Breaking the offending sentence into two sentences is grammatically correct but often rhythmically wrong.
Praskovia Ivanovna was asleep on the stove, rhythmically and soothingly snoring.A Desperate Character and Other Stories|Ivan Turgenev
She began to rock herself, slowly, rhythmically, back and forth.The Purple Heights|Marie Conway Oemler
From time to time St. George pressed his hand to the heart, and found it beating on rhythmically, powerfully.Romance Island|Zona Gale