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. Detail from Pompeo Battoni , ''Apollo and the Two Muses''.]]

Euterpe (pronounced "you-TER-pay") or '''Eutere''' ("rejoicing well" or "delight"), in Greek Mythology , was one of the Muse s, the daughters of Mnemosyne , fathered by Zeus . Called the "Giver of Pleasure", when later poets assigned roles to each of the Muses, she was the muse of music. In late Classical times she was named muse of lyric poetry and depicted holding a flute.

A few say she invented the '' Aulos '' or double-flute, though most mythographers credit Marsyas with its invention. The river Strymon impregnated Euterpe; her son Rhesus led a band of Thracian s and was killed by Diomedes at Troy , according to Homer's '' Iliad ''.

Her name is from Greek ''eu'' (good, well) and τέρπ-εω (to please)