# De utilitate mathematicae 64

Theon Smyrnaeus, De utilitate mathematicae, Paragraph 64. Ancient Greek.

Canonical: https://interlinea.aeterna-institute.org/library/greek/theon-smyrnaeus/de-utilitate-mathematicae/64

πάσας δὲ τὰς συμφωνίας περιέχει ἡ τετρακτύς. συνέστησε μὲν γὰρ αὐτὴν α΄ καὶ β΄ καὶ γ΄ καὶ δ΄. ἐν δὲ τούτοις τοῖς ἀριθμοῖς ἔστιν ἥ τε διὰ τεσσάρων συμ- φωνία καὶ ἡ διὰ πέντε καὶ ἡ διὰ πασῶν, καὶ ὁ ἐπίτρι- τος λόγος καὶ ἡμιόλιος καὶ διπλάσιος καὶ τριπλάσιος καὶ τετραπλάσιος.

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Theon Smyrnaeus, De utilitate mathematicae, ed. Eduardus Hiller. Text: The Greek Library, from the Perseus Digital Library and other open sources, CC BY-SA 4.0. Changes: apostrophes normalised and the text divided into reading sections by Interlinea.
License: CC BY-SA 4.0 (https://creativecommons.org/licenses/by-sa/4.0/). Source: https://thegreeklibrary.pages.lisn.upsaclay.fr/works/tlg1724.tlg001.local001/.