The name is Antigenides here but more authentically (given his city of origin) Antigenidas in Harpokration s.v., commenting on his mention in Lysias fr. 189 Sauppe (now 242 Carey OCT). The present entry follows the one in Hesychius of Miletus; that of Harpok. belongs in a different tradition (where for instance A's father's name is Dionysios).
"His activity seems to fall in the first third of the fourth century [BC], though some anecdotes place him in settings that lie well outside this span. [...] He is called the aulode -- no doubt a mistake for "aulete" -- of Philoxenos [the dithyrambist Ph. of Kythera, c.435-c.380 BC: see phi 393]; perhaps it was he [= Antigenidas] who had to accompany the chorus through the modulatory labyrinth of the Mysians. The same source records that he was the first to wear Milesian shoes, and that in the Reveller (another work of Philoxenus?) he wore a yellow cloak" (M.L. West, Ancient Greek Music (Oxford 1992) 367).
For further notes and bibliography on Philoxenos and the "new dithyramb" see delta 1029, kappa 2647, alpha 1810, sigma 1192.