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This is Monotype's "Neo-Didot", released in 1904 (IIRC). I've only seen it used once, in this wonderful 1985 edition of Lucian's stories and dialogues, produced by Franz Greno.
As far as I know, this face hasn't been digitized yet, which is a shame, as the digital Didots currently available have a stroke contrast way too high to be useful for longer stretches of text...