Music comes from the Middle English word musyke [ˈmiu̯ziːk], which was borrowed from the Anglo-Norman musik/musike, which came from the Old French musique [myˈzikə], from the Latin mūsica [ˈmuː.si.ka].
This was borrowed from the Ancient Greek μουσική (mousikḗ) [moː.si.kɛ̌ː], which means ‘music, poetry or art’, and comes from Μοῦσα (Moûs – Muse), inspirational Ancient Greek goddesses of literature, science, and the arts. Of uncertain origin, possibly from the Proto-Indo-European root *men- (to think).
Other words from the same Greek root include Muse, museum and mosaic.
In Old English the word for music (and also joy, frenzy and ecstasy) was drēam [dræ͜ɑːm], from the Proto-West Germanic *draum (dream), from the Proto-Germanic *draumaz [ˈdrɑu̯.mɑz] (dream), from the Proto-Indo-European *dʰrewgʰ- (to deceive, injure, damage). The word dream comes from the same root.
Here’s a video I made of this information:
Video made with Doodly? – an easy-to-use animated video creator [affiliate link].
I also write about etymology on the Omniglot Blog.
Here’s my latest song – Distraction – I was planning to write a song about owls, but got distracted and wrote this instead: