This word is acceptable for play in the US & UK dictionaries that are being used in the following games:

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adj. rhythmic

Pertaining to rhythm in art, or to a succession of measures marked by regularly recurrent accents, beats, or pulses; noting any succession so marked; hence, musical, metrical, or poetic: as, the rhythmical movement of marching or of a dance.

In physics and physiology, pertaining to or constituting a succession of alternate and opposite or correlative states.

In medicine, periodical.

In the graphic and plastic arts, properly proportioned or balanced.

adj. recurring with measured regularity

"Three men rose and dipped, rose and dipped, in rhythmical precision; but a red bandanna, wrapped about the head of one, caught and held his eye."

swinging    singsong    adonic    swingy    throbbing    measured    jazzy    intoned    chantlike    cadenced   

rhythmical signature   

rhythmic    harmonious    melodious    lyrical    ceaseless    melodic    repetitive    plaintive    poetic    resonant