In an old post Seven Circuits in Clement of Alexandria I attempted an explanation of Clement’s puzzling reference to the seven circuits around the temple, which are made mention of among the Hebrews. My suggestion remains possible but I now think another explanation probably more likely.
The difficulty has always been the apparent lack of any ancient reference to seven circuits (or coverings) around the temple (or tabernacle). I have now discovered what I think is such a reference. In the preface to the Jewish Wars by Josephus, we have a reference to:
A description also of certain of their festivals, and seven purifications of purity (τὰς ἑπτὰ ἁγνείας), and the sacred ministrations of the priests, with the garments of the priests, and of the high priests; and of the nature of the most holy place of the temple; without concealing any thing, or adding any thing to the known truth of things.
The seven purifications of purity are ambiguous and might refer to a process of purification, but many scholars have regarded this as a reference to the successive degrees of purity as one approaches the temple. Reinach suggests what the seven purity levels may be, based partly on the text of Josephus (particularly Jewis War book 5) and partly on Mishnah Kelim. (See Kelim a and Kelim b)
Mishnah Kelim gives 10 or 11 levels of holiness. With strong evidence in Josephus Reinach has the 1st level as the holy city of Jerusalem (level 3 in the Mishnah) and the 7th level as the Holy of Holies entered only by the High Priest. Also with strong evidence the Court of the Gentiles AKA the Temple Mount, the Court of Women, the Court of Israel and the Court of Priests are placed at separate intermediate levels. To make up the seven we require one more. The Mishnah provides three possibilities, a/ giving the hel the steps leading up from the Temple Mount to the Court of Women (the Rampart) a separate level of purity between that of the Court of Gentiles and the Court of Women, b/ giving the ministering priests between the altar and the holy place a higher purity than the Court of Priests, c/ giving the Holy Place a level of purity higher than that of the ministering priests. Option c/ is disputed in the Mishnah (rejected by Jose) and is probably 2nd centuery CE. The choice is between options a/ and b/. Reinach chooses option a/ I would choose b/.
Josephus does not indicate that the steps leading up to the Court of Women have a less stringent purity requirement than the court itself, but he does distinguish between the Court of the Priests and the ministering priests. (Jewish War Book V)
Now all those of the stock of the priests that could not minister by reason of some defect in their bodies, came within the partition, together with those that had no such imperfection; and had their share with them, by reason of their stock: but still made use of none except their own private garments. For no body but he that officiated had on his sacred garments. But then those priests that were without any blemish upon them went up to the altar, clothed in fine linen. .
There is also the issue that the distiction in the Mishnah between the Rampart and the Court of Women involves the status of a tebul-yom (one who has immersed for purity but awaits evening for full purity). Using this distinction in Temple purity is unusual and may be relatively late, (there is no trace of this idea in the Tosefta to Kelim), and it would in any case be a piece of specifically Pharisaic halakhah which is unlikely in Josephus at the time of writing the Jewish War.
I would therefore list the seven purities of the temple in Josephus as 1/ Jerusalem the holy city, 2/ The Temple Mount, 3/ The Court of Women and the Rampart leading to it, 4/ The Court of Israel, 5/ The Court of Priests, 6/ The Ministering Priests at the altar and in the holy place, 7 The Holy of Holies.
One advantage of the idea that Clement’s seven circuits is based on Josephus is that we know, (Stromateis book 1), that Clement had read Josephus.