Where does “μουσικὴ τέχνη” come from?

μουσικὴ τέχνη (Ancient Greek) comes from Ancient Greek μουσικός, from Ancient Greek -ικός, from Ancient Greek -κός, from Proto-Indo-European -ḱos — -y, -ic.

Ancestry of “μουσικὴ τέχνη”, step by step

StepLanguageWordMeaning
1Ancient Greekμουσικόςmusical
2Ancient Greek-ικόςof or pertaining to, in the manner of; -ic
3Ancient Greek-κόςforms adjectives with the sense of 'of or...
4Proto-Indo-European-ḱos-y, -ic
Every word from Proto-Indo-European -ḱos →Every word from Ancient Greek -ικός →Every word from Ancient Greek -κός →