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τεσσάρων. τοῦτον οἱ μὲν ἁρμονικοὶ δίχα τεμνόμενον
οἴονται δύο διαστήματα ποιεῖν, ὧν ἑκάτερον ἡμιτόνιον
καλοῦσιν οἱ δὲ Πυθαγορικοὶ τὴν μὲν εἰς ἴσα τομὴν ἀπέγνωσαν αὐτοῦ, τῶν δὲ τμημάτων ἀνίσων
ὄντων λεῖμμα τὸ ἔλαττον ὀνομάζουσιν, ὅτι τοῦ
ἡμίσεος ἀπολείπει. : διὸ καὶ τῶν συμφωνιῶν τὴν διὰ τεσσάρων οἱ μὲν δυεῖν τόνων καὶ ἡμιτονίου
ποιοῦσιν οἱ δὲ δυεῖν καὶ λείμματος. μαρτυρεῖν δὲ δοκεῖ τοῖς μὲν ἁρμονικοῖς ἡ αἴσθησις τοῖς δὲ μαθηματικοῖς
ἡ ἀπόδειξις, ἧς τοιοῦτος ὁ τρόπος ἐστίν: ἐλήφθη διὰ τῶν ὀργάνων θεωρηθέν, ὅτι τὸ μὲν
διὰ πασῶν τὸν διπλάσιον λόγον ἔχει, τὸ δὲ διὰ
[p. 195] πέντε τὸν ἡμιόλιον, τὸ δὲ διὰ τεσσάρων τὸν ἐπίτριτον,
Plutarch. Moralia. Gregorius N. Bernardakis. Leipzig. Teubner. 1895. 6.
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