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Linguistically the Turks belong to the same language family as Mongolian. Biologically they are probably pretty mixed because of absorbing many members of the ethnic groups they conquered--and with polygamy, Muslim men having children by slave women of various backgrounds.

"Aryan" may have had a meaning 3500 years ago referring to the Indo-Iranian invaders of India and parts of the Middle East, but I don't think it is used any longer by serious scholars studying racial and ethnic groups. The Nazis tainted the word--that's why the late Martin Bernal (in Black Athena) labeled the viewpoint he was arguing against "the Aryan model" (because he didn't have the facts to bolster his own point of view). He was a hardline leftist so used their typical tactic of namecalling.