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πρὸς τούτῳ: “praeter astronomicum φορᾶς s. motus genus” (Stallbaum). ὡς πρὸς ἀστρονομίαν κτλ . ἀστρονομία is φορὰ βάθους (528 E note), and appeals to the eye in the same way as ἐναρμόνιος φορά, or movement in accordance with the laws of ἁρμονία (III 397 B, 398 D, E notes), appeals to the ear. In ἐναρμόνιος φορά the air moves more or less quickly etc., and this accounts for the different pitch etc. of notes: see Tim. 67 B, 80 A ff. and Theo Smyrn. p. 50 Hiller, where this—Pythagorean as well as Platonic—theory of sound is very clearly explained. Cf. also von Jan Musici Scriptores Graeci pp. 130 ff. ἀδελφαί τινες. Cf. [Archytas] in Mullach Frag. Phil. Graec. I p. 564 περί τε δὴ τᾶς τῶν ἄστρων ταχυτᾶτος καὶ ἐπιτολᾶν καὶ δυσίων παρέδωκαν ἁμῖν διάγνωσιν καὶ περὶ γαμετρίας καὶ ἀριθμῶν καὶ οὐχ ἥκιστα περὶ μωσικῆς: ταῦτα γὰρ τὰ μαθήματα δοκοῦντι εἶμεν ἀδελφά, ib. p. 565 and (with J. and C.) Tim. 47 B, C. The sisterhood of Music and Astronomy is best seen in the ‘harmony of the Spheres’: see X 617 B note and RP^{7}. 68 B notes
The Republic of Plato. James Adam. 1902. Cambridge. Cambridge University Press.
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