Douglas Harper's Etymology Dictionary
also eurhythmic, "harmonious," 1831, from Greek eurythmia "rhythmical order," from eurythmos "rhythmical, well-proportioned," from eu "well, good" (see eu-) + rhythmos "rhythm" (see rhythm). Related: Eurythmics (1912 in reference to a system of rhythmical bodily movements or dance exercises); eurythmy.
Wiktionary
a. 1 (context music English) harmonious 2 of, or relating to, eurythmics 3 of, or relating to, eurythmy
Wikipedia
Eurythmic was a versatile Australian-bred Thoroughbred racehorse who had the ability to produce a brilliant finishing run in staying races and he also won important sprint races, too. At four he won 12 of his 13 starts including the Caulfield Cup and Sydney Cup. When Eurythmic finished racing he was the greatest stake-winner in Australia. He was later inducted into the Australian Racing Hall of Fame.
Usage examples of "eurythmic".
Gudrun, looking as if some invisible chain weighed on her hands and feet, began slowly to dance in the eurythmic manner, pulsing and fluttering rhythmically with her feet, making slower, regular gestures with her hands and arms, now spreading her arms wide, now raising them above her head, now flinging them softly apart, and lifting her face, her feet all the time beating and running to the measure of the song, as if it were some strange incantation, her white, rapt form drifting here and there in a strange impulsive rhapsody, seeming to be lifted on a breeze of incantation, shuddering with strange little runs.
It will be amusing to go to these eurythmic displays, and the German opera, the German theatre.
We must have had some such normal notions to fall back upon as our eyes swept that limitless, tempest-scarred plateau and grasped the almost endless labyrinth of colossal, regular, and geometrically eurythmic stone masses which reared their crumbled and pitted crests above a glacial sheet not more than forty or fifty feet deep at its thickest, and in places obviously thinner.