Where does “エウテルペー” come from?

エウテルペー (Japanese) comes from Ancient Greek Εὐτέρπη, from Ancient Greek εὐ-, from Ancient Greek πίων, from Proto-Indo-European peyH- — fat, milk.

Ancestry of “エウテルペー”, step by step

Step	Language	Word	Meaning
1	Ancient Greek	Εὐτέρπη	muse of lyric poetry
2	Ancient Greek	εὐ-	good, well
3	Ancient Greek	πίων	fat, rich; wealthy; abounding, fertile
4	Proto-Indo-European	peyH-	fat, milk