eurythmy vs eurhythmy

eurythmy and eurhythmy both are nouns.

Word	Noun	Adjective	Verb	Adverb
eurythmy	Yes	No	No	No
eurhythmy	Yes	No	No	No

As nouns, eurythmy and eurhythmy are synonyms defined as:

eurythmy and eurhythmy: the interpretation in harmonious bodily movements of the rhythm of musical compositions; used to teach musical understanding

Other synonyms of eurythmy include eurhythmics, eurythmics.

eurythmy (noun)	eurhythmy (noun)
the interpretation in harmonious bodily movements of the rhythm of musical compositions; used to teach musical understanding	the interpretation in harmonious bodily movements of the rhythm of musical compositions; used to teach musical understanding