The Hebrew word for music – מוזיקה – comes from the same source as the English word – μουσική (mousikḗ, in Ancient Greek). Biblical Hebrew uses the proper-Hebrew word זמרה , which today is a fancy word for “singing”.
How about a melody? Hebrew does use מלודיה as well as the proper-Hebrew מנגינה (related to לנגן – to play music) and זֶמֶר , but when we’re talking about music put to words, the word is לחן .
For example:
הלחן הזה בכלל לא מתאים למילים.
This melody doesn’t at all fit the words.
לחן is a proper-word exception to the Arabic-based Hebrew lexicon, which primarily consists of slang.
