The word "rhapsodic" comes from the Greek word rhapsōidikós, which is the Latinized form of rhapsōidia. Rhapsōidia means "recitation of selections from epic poetry". The word "rhapsodic" entered the English language in the mid-1700s.
The word "rhapsodic" is an adjective that means "extravagantly emotional" or "rapturous". Synonyms of "rhapsodic" include: elated, elevated, enrapt, entranced, euphoric, exhilarated, giddy, heady, intoxicated, and rapturous.
The word "rhapsody" has multiple meanings:
A recitation of selections from epic poetry
A literary form, such as a collection of miscellaneous writings
An extravagant expression of sentiment
A musical piece with an irregular form and improvisational nature
An epic poem, or part of an epic poem, that can be recited at one time
The word "rhapsode" comes from the Greek word rhapsōidein, which means "to sew songs together". A rhapsode was an oral epic poet who would build a repertoire of myths, tales, and jokes to include in their epic poems.
Think of Queen's "Bohemian Rhapsody" or Gershwin's "Rhapsody in Blue".