Philo Judaeus, De Opificio Mundi, ed. Leopold Cohn, 96

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[96] μουσικωτάτη δὲ καὶ ἡ τούτων ἀναλογία τῶν ἀριθμῶν· τὰ μὲν γὰρ ἓξ πρὸς ἓν ἔχει λόγον ἑξαπλάσιον, ὁ δ’ ἑξαπλάσιος λόγος τὸ μέγιστον ἐν τοῖς οὖσι ¹² ποιεῖ διάστημα, ᾧ διέστηκε τὸ ὀξύτατον ἀπὸ τοῦ βαρυτάτου, καθάπερ ἀποδείξομεν, ὅταν ἀπὸ τῶν ἀριθμῶν μετέλθωμεν ἐπὶ τὸν ἐν ἁρμονίαις λόγον· τὰ δὲ πέντε πρὸς δύο πλείστην ἐν ἁρμονίᾳ δύναμιν ἐπιδείκνυται σχεδὸν ἐνάμιλλον τῇ διὰ πασῶν, ὅπερ ἐν τῇ κανονικῇ θεωρίᾳ σαφέστατα παρίσταται· τὰ δὲ τέσσαρα πρὸς τρία 23 Μ. τὴν πρώτην ἁρμονίαν ἀποτελεῖ
τὴν ἐπίτριτον, ἥτις ἐστὶ διὰ τεσσάρων.

De Opificio Mundi. Philo Judaeus. ed. Leopold Cohn. Germany. 2014.

Funding provided by European Social Fund Saxony.

Current edition First1KGreek

De Opificio Mundi (Greek) (Philo Judaeus. Opera que supersunt, Volume 1. Cohn, Leonard, editor. Berlin: Reimer, 1896.)

Translations (1)

On the Creation of the World First1KGreek (The works of Philo Judaeus, the contemporary of Josephus, volume 1. Yonge, C. D., translator. London: Henry G. Bohn, 1854.) — 96 focus

[96] And the proportion of these numbers is a most musical one; for the number six bears to the number one a six-fold ratio, and the six-fold ratio causes the greatest possible difference between existing tones; the distance namely, by which the sharpest tone is separated from the flattest, as we shall show when we pass on from numbers to the discussion of harmony. Again, the ratio of four to two displays the greatest power in harmony, almost equal to that of the diapason, as is most evidently shown in the rules of that art. And the ratio of four to three effects the first harmony, that in the thirds, which is the diatessaron.

Notes on the current edition

De opificio mundi

1.
1 σαφέστατα τῆ M ὁ om. FGH
2 ὁ ξδ΄ ABP
3 πολλαπλασιασθέντων M
4 ὁ] ὃς F
5 ὁ ἑπτακόσια καὶ εἴκοσι καὶ ἐννέα Μ
6 ἐφ’ αὐτὸν scripsi: ἐπ’ αὐτὸν codd. ζ΄ καὶ κ΄ G 6.
7 ἐφ’ αὑτὸν M: ἐπ’ αὐτὸν ABPFG, om. H
7 ἀντὶ FGH: ἀπὸ ceteri
9 ἐπαυξηθέντα F τοῦ] τῶν F 9.
10 ξδ΄ ABPG, ἑξήκοντα P
10 συντιθεὶς Β 10.
11 τετρακισχίλια ϥς΄ AP, δϥς΄ Β
12 πλευρὸν Η ξδ΄ ABP ἑξκαίδεκα M, ις΄ ABP
15 συνέστη M τὰ] τοῦ M
16 τε] δὲ M
17 τὴν prius om. M τὴν alterum] τὸν MB
18 ἐπιτελοῦντα G ζυγάδην lo. Lydus: ζυγάδι Μ, ζυγώση ceteri
19 τινὰς M συνεστώσας M (et lo. Lydus): συνεστῶσα ceteri νᾷ ἑβδομάδας M
21 ἀπολογία M
22 ἕνα M λόγον ἔχει M

2. 15—21 loann. Lyd. de mens. II c.
11 . . . ἡ τοίνυν ἑβδομὰς συνέστηκεν ἐξ ἑνὸς καὶ καὶ τεττάρων ἔχουσα δύο λόγους ἁρμονικωτάτους, τόν τε τριπλάσιον (l. διπλάσιον) καὶ τὸν τετραπλάσιον. ἔχει δὲ καὶ διαιρέσεις ζυγάδην τρόπον τινὰ συνεστώσας· διαιρεῖται γὰρ πρῶτον εἰς μονάδα καὶ ἑξάδα, ἔπειτα εἰς πεντάδα καὶ δυάδα, καὶ τελευταῖον εἰς τριάδα καὶ τετράδα. μουσικωτάτη δὲ ἡ τούτων τῶν ἀριθμῶν ἀναλογία.

Philo Judaeus De Opificio Mundi 96

ed. Leopold Cohn

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Notes on the current edition

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