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Elements of Rhythm
Στοιχεῖα Ῥυθμικὰ

Aristoxenus of Tarentum Elements of Rhythm PDF

The Elements of Rhythm is a fragmentary treatise on music theory by the philosopher Aristoxenus of Tarentum, composed in Attic Greek during the late 4th century BCE. It constitutes the earliest known systematic effort to establish the study of rhythm, or rhythmics, as a distinct scientific discipline separate from the study of musical pitch. The work seeks to define the fundamental components of rhythm, including basic units of time, elementary patterns known as feet, and the principles governing their combination into larger rhythmic structures. Only portions of the original text survive, primarily through eight major passages preserved by later authors, most notably the 2nd-century CE writer Aristides Quintilianus in his own work On Music. Modern scholarship interprets the treatise as part of Aristoxenus's broader project to apply the empirical and classificatory methodologies of his teacher, Aristotle, to the comprehensive analysis of music. Intended for an audience of philosophers and musicians, it aimed to provide a scientific foundation for understanding the temporal aspects of artistic composition. Despite its incomplete state, the treatise was profoundly influential, establishing the foundational framework for the study of rhythm throughout Greco-Roman antiquity and shaping subsequent musical thought.

t ΑΡΙΣΤΟΞΕΝΟΥ ΡΥΘΜΙΚΩΝ ΣΤΟΙΧΕΙΩΝ ΠΡΩΤΟΝ.
1 Planud. in Hermog. id. V 454 W. Ὁ δὲ ῥυθμός ἐστιν, ὥς φησιν Ἀριστόξενος καὶ Ἡφαιστίων, χρόνων τάξις. cf. schol. ib. VII 892.
2 Bacchius p. 23 M. Ῥυθμὸς δέ ἐστιν ... κατὰ δὲ Ἀριστόξενον χρόνος διῃρημένος ἐφ’ ἑκάστῳ τῶν ῥυθμίζεσθαι δυναμένων.
3 Psell. 6. Τῶν δὲ ῥυθμιζομένων ἕκαστον οὔτε κινεῖται συνεχῶς οὔτε ἠρεμεῖ, ἀλλ’ ἐναλλάξ. καὶ τὴν μὲν ἠρεμίαν σημαίνει τό τε σχῆμα καὶ ὁ φθόγγος καὶ ἡ συλλαβή, οὐδενὸς γὰρ τούτων ἐστὶν αἰσθέσθαι ἄνευ τοῦ ἠρεμῆσαι· τὴν δὲ κίνησιν ἡ μετάβασις ἡ ἀπὸ σχήματος ἐπὶ σχῆμα καὶ ἡ ἀπὸ φθόγγου ἐπὶ φθόγγον καὶ ἡ ἀπὸ συλλαβῆς ἐπὶ συλλαβήν. εἰσὶ δὲ οἱ μὲν ὑπὸ τῶν ἠρεμιῶν κατεχόμενοι χρόνοι γνώριμοι, οἱ δὲ ὑπὸ τῶν κινήσεων ἄγνωστοι διὰ σμικρότητα ὥσπερ ὅροι τινὲς ὄντες τῶν ὑπὸ τῶν ἠρεμιῶν κατεχομένων χρόνων.
3 Νοητέον δὲ καὶ τοῦτο ὅτι τῶν ῥυθμικῶν συστημάτων ἕκαστον οὐχ ὁμοίως σύγκειται ἔκ τε τῶν γνωρίμων χρόνων κατὰ τὸ ποσὸν καὶ ἐκ τῶν ἀγνώστων, ἀλλ’ ἐκ μὲν τῶν γνωρίμων κατὰ τὸ ποσὸν ὡς ἐκ μερῶν τινων σύγκειται τὰ συστήματα, ἐκ δὲ τῶν ἀγνώστων ὡς ἐκ τῶν διοριζόντων τοὺς γνωρίμους κατὰ τὸ ποσὸν χρόνους.
4 Psell. 4. Ὁ δὲ ῥυθμὸς οὐ γίνεται ἐξ ἑνὸς χρόνου, ἀλλὰ προσδεῖται ἡ γένεσις αὐτοῦ τοῦ τε προτέρου καὶ τοῦ ὑστέρου.
5 Psell. 1. Καὶ πρῶτόν γε ὅτι πᾶν μέτρον πρὸς τὸ μετρούμενόν πως καὶ πέφυκε καὶ λέγεται. ὥστε καὶ ἡ συλλαβὴ οὕτως ἂν ἔχοι πρὸς τὸν ῥυθμὸν ὡς τὸ μέτρον πρὸς τὸ μετρούμενον, εἴπερ τοιοῦτόν ἐστιν οἷον μετρεῖν τὸν ῥυθμόν.
5 ἀλλὰ τοῦτον μὲν τὸν λόγον οἱ παλαιοὶ ἔφασαν ῥυθμικοί, ὁ δέ γε Ἀριστόξενος οὐκ ἔστι, φησί, μέτρον ἡ συλλαβή. πᾶν γὰρ μέτρον αὐτό τε ὡρισμένον ἐστὶ κατὰ τὸ ποσὸν καὶ πρὸς τὸ μετρούμενον ὡρισμένως ἔχει. ἡ δὲ συλλαβὴ οὐκ ἔστι κατὰ τοῦτο ὡρισμένη πρὸς τὸν ῥυθμὸν ὡς τὸ μέτρον πρὸς τὸ με τρούμενον, ἡ γὰρ συλλαβὴ οὐκ ἀεὶ τὸν αὐτὸν χρόνον κατέχει, τὸ δὲ μέτρον ἠρεμεῖν δεῖ κατὰ τὸ ποσὸν καθὸ μέτρον ἐστὶ καὶ τὸ τοῦ χρόνου μέτρον ὡσαύτως κατὰ τὸ ἐν τῷ χρόνῳ ποσόν, ἡ δὲ συλλαβὴ χρόνου τινὸς μέτρον οὖσα οὐκ ἠρεμεῖ κατὰ τὸν χρόνον, μεγέθη μὲν γὰρ χρόνων οὐκ ἀεὶ τὰ αὐτὰ κατέχουσιν αἱ συλλαβαί, λόγον μέντοι τὸν αὐτὸν ἀεὶ τῶν μεγεθῶν· ἥμισυ μὲν γὰρ κατέχειν τὴν βραχεῖαν χρόνου, διπλάσιον δὲ τὴν μακράν.