II. musical: “τὰ -κά” theory of music, Pl.Phdr.268e, Arist.Metaph.1077a5; ἡ ἐν τοῖς μαθήμασιν -κή (sc. ἐπιστήμη) mathematical theory of music, ib.997b21; ἁ. πραγματεία a treatise thereon, Plu.2.1142f; ἁρμονικὰ στοιχεῖα, title of work by Aristoxenus; ἁρμονικοί, οἱ, students of “-κή, οἱ κατὰ τοὺς ἀριθμοὺς ἁ.” Arist.Top.107a16; with play on (b), Aristox. Harm.p.I M.
b. of or in the enharmonic scale, “νόμος” Plu.2.1133e.
III. Arith., harmonic, “μέσα” Archyt.2; “ἁ. ἀναλογία” Ph.1.27, Nicom.Ar.2.22, Theo Sm.p.114H.; “μεσότης” Arist.Fr.47; “λόγοι” Ph.1.22 (Sup.); “λόγοι κατ᾽ ἀριθμὼς ἁ. συγκεκραμένοι” Ti.Locr. 96a, cf. Arist.de An.406b29.
IV. ἁ. γυμνάσιον training by rule of thumb, Philostr.Gym.53.