[3593] See p. 713, supra.

[3594] xl, 47, § 1.—καὶ ἡ ἀγορὰ ἡ διὰ τῶν ἐννέα ἀεὶ ἡμερῶν ἀγομένη ἐν αὐτῇ τῇ τοῦ Ἰανουαρίου νουμηνίᾳ ἤχθη.

[3595] xlviii, 33, § 4.—ἡμέρα ἐμβόλιμος παρὰ τὰ καθεστηκότα ἐνεβλήθη, ἵνα μὴ ἡ νουμηνία τοῦ ἐχομένου ἔτους τὴν ἀγορὰν τὴν διὰ τῶν ἐννέα ἡμερῶν ἀγομένην λάβῃ &c.

[3596] Mommsen, falling into an inexplicable confusion of thought, insists (Die röm. Chron. bis auf Caesar, 1859, pp. 283-6) that the extraordinary intercalation mentioned by Dion took place not in 713 but in 714. Dion’s words, he says (ib., p. 283, n. 5), belong to a passage which immediately follows his description of the events of 714; which deals with the events of 713 and 714; which begins with the words ἔν τε τῷ πρὸ τούτου ἔτει (713); and which ends with the words ταῦτα μὲν ἐν τοῖς δύο ἔτεσιν (713-4) ἐγένετο. He says that Dion’s words, taken by themselves, allow us to refer the extraordinary intercalation either to 713 or to 714; but he maintains that it must be referred to 714, because otherwise the sequence of the nundinal letters would be inexplicable. But the truth is, as the simple arithmetical calculation which I have given on pp. 713-4 shows, that the sequence is perfectly explicable if the extraordinary intercalation took place in 713, hopelessly inexplicable if it took place in 714. Except Unger, all recent chronologists (see, for instance, Hermes, xxiii, 1888, p. 51 and n. 1) have recognized Mommsen’s blunder. Dion says that the extraordinary intercalation took place ἐν τῷ πρὸ τούτου ἔτει: Mommsen himself affirms that τὸ πρὸ τούτου ἔτος was the year 713; yet he will have it that the extraordinary intercalation took place in 714!

[3597] The year 702, as we have already seen, contained 378 days; each of the five years 703, 704, 705, 706, and 707 contained 355 days; the year 708 contained 445 days; one of the four years 709, 710, 711, and 712 contained ex hypothesi 366 days, and the other three 365; and if there had been no intercalation in 713, that year would have contained 365 days. Then the number of days from the Kalends of January, 702, to the last day of December, 713, would have been 378 + 355 × 5 + 445 + 366 + 365 × 4 = 4,424 days, which is a multiple of 8.

[3598] Röm. Chron., pp. 171-3.

[3599] Holzapfel, A. Mommsen, and Unger.

[3600] See Philologus, xlix, 1890, p. 88.

[3601] See p. 715, supra.

[3602] καὶ δῆλον ὅτι [ἡμέρα ἐμβόλιμος] ἀνθυφῃρέθη αὖθις, ὅπως ὁ χρόνος κατὰ τὰ τῷ Καίσαρι τῷ προτέρῳ δόξαντα συμβῇ (Hist. Rom., xlviii, 33, § 4).