Philo Judaeus, De Opificio Mundi, ed. Leopold Cohn, 48

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[48] περιέχει δ’ ἡ τετρὰς καὶ τοὺς λόγους τῶν κατὰ μουσικὴν
συμφωνιῶν, τῆς τε διὰ τεττάρων καὶ διὰ πέντε καὶ διὰ πασῶν καὶ προσέτι δὶς διὰ πασῶν, ἐξ ὧν σύστημα τὸ τελειότατον ἀπογεννᾶται· τῆς μὲν διὰ τεττάρων ὁ λόγος ἐπίτριτος, τῆς δὲ διὰ πέντε ἡμιόλιος, διπλάσιος δὲ τῆς διὰ πασῶν, τετραπλάσιος δὲ τῆς δὶς διὰ πασῶν· οὓς ἅπαντας ἡ τετρὰς ἔχει περιλαβοῦσα, τὸν μὲν ἐπίτριτον ἐν τῷ τέσσαρα πρὸς τρία, τὸν δ’ ἡμιόλιον ἐν τῷ p. 11 M. τρία πρὸς δύο, τὸν δὲ διπλάσιον ἐν τῷ δύο
πρὸς ἓν ἢ τέσσαρα πρὸς δύο, τὸν δὲ τετραπλάσιον ἐν τῷ τέσσαρα πρὸς ¹²

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.) — 48 focus

[48] Moreover the number four also comprehends the principles of the harmonious concords in music, that in fours, and in fifths,and the diapason, and besides this the double diapason from which sounds the most perfect system of harmony is produced. For the ratio of the sounds in fourths is as four to three; and in fifths as three to two; and in the diapason that ratio is doubled: and in the double diapason it is increased fourfold, all which ratios the number four comprehends. At all events the first, or the epistritus, is the ratio of four to three; the second, or the hemiolius, is that of three to two: the twofold ratio is that of two to one, or four to two: and the fourfold ratio is that of four to one.

Notes on the current edition

De opificio mundi

1.
1 ὅτι FL 1.
2 παντοῖα φοιτᾶ καὶ παντοίους καρποὺς R
4 μὴ VM: μηδὲν ceteri οἷς καὶ δυνάμεις MABP
5 ἡνίων V
6 ἐπιλημμένος V, ἐπειλημμένος ABPR ἄν] ἐὰν V θέλῃ M, ἐθέλοι ABP
7 ἄλλου] ἀλλ’ οὑ V
8 πρότερον F ἐβλάστησεν V δὲ ΑΒ
9 ἢν] δι’ ἣν V παντελοῦς FGH
10 ἀφορμὴν εἶναι λέγων V: εἶναι λέγων ἀφορμήν τε ceteri ὃ γὰρ] οἷσ’ αρ᾿ V ἐνδελεχείᾳ Μ
11 δεκάς, τοῦτο] δ’ ἑκάστου τὸ V ἔοικεν V γοῦν] οὖν FH οἱ om. VF ἄχρι τετράδος om. ΜΑΒP
12 ἑξῆς] ἐξ ἧς VFP δεκάδα] δέκα V τῆς] τις F
13 ἐστιν V ὃν] ὧν V ἐνκαμπτῆρα BP post εἱλοῦνται add. καὶ ἀναστρέφονται F
14 δὴ (sic) V
15 τεσσάρων M 15.
16 καὶ προσέτι δὶς διὰ πασῶν om. V
16 τὸ om. ABP μὲν V: μὲν γὰρ ceteri
17 τεσσάρων M
18 τετραπλάσιος—πασῶν om. ε ι BF1GH οὓς ἄν πάντας ΜΑΒP
19 ἔχοι M παραλαβοῦσα Α, παραλαβοῦσα P2H τὸ μὲν ΑΒ, τὸν μὲν οὑν M
20 τὸ δ’ MABP τὸ δὲ ABP
21 ἡ πρὸς ἓν V ἡ] ἡ V τὸ δὲ ABP

2. 1—2 πρὸ—ἤνεγκεν R ibid. 5—7 οἶα—δυνατά R ibid. 1112 Lyd. de mens. II c.
8 . . . ὅθεν καὶ ἀποτελεσματικὸς καλεῖται ὁ τέταρτος ἀριθμός). εἰ γὰρ ἀπὸ μονάδος μέχρι τετράδος ἑξῆς συντεθεῖεν ἀριθμοί, δεκάδα ἀποτελοῦσιν.

Philo Judaeus De Opificio Mundi 48

ed. Leopold Cohn

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Notes on the current edition

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