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τετρακτύς , ύος, ἡ, (τετράς) Pythagorean name for
A.the sum of the first four numbers, i.e. 10 (= 1+2+3+4), “ναὶ μὰ τὸν ἁμετέρᾳ ψυχᾷ παραδόντα τετρακτύν, παγὰν ἀενάου φύσεως” Carm.Aur.48, cf. S.E.M. 7.94, TheoSm.p.94 H., Hierocl.in CA20p.465M.
II. the four terms (6:8:9:10) of the proportion corresponding to the chief musical intervals, Nicom.Exc.7, 10; also their sum +1 (= 36), ibid.; the sum of the first 8 numbers, Plu.2.381f.
Henry George Liddell. Robert Scott. A Greek-English Lexicon. revised and augmented throughout by. Sir Henry Stuart Jones. with the assistance of. Roderick McKenzie. Oxford. Clarendon Press. 1940.

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