Bartholomew, are you still around? :tiphat: I thought I should get back to your question, can Enoch’s 364-day calendar be synchronised with our solar year?
It takes 365.242 days for the Earth to get around the Sun. As long as Earth remains, nothing is going to change that. However, the ‘Enochian’ calendar might have more to it than what it seems. When studying it, one cannot help but notice a strict sabbatical emphasis. There are seven days in the week and there are 52*7=364 days (exactly) in the year. Any deviation from this pattern is strongly condemned and that might be the clue to additional intercalations. There would be no add-hoc leap-year additions whenever it suited unless the days were in multiples of seven and applied according to a pre-defined sabbatic formula. I think we can make a reasonable guess at how they did it.
The book of Enoch starts with a 360-day calendar and expands it to 364 days. This has led some scholars to wonder if further intercalations might follow a sabbatical pattern. Some scroll experts have mooted the idea, not the least of whom was Jean Carmignac, a French scholar (one of the translators), who proposed that 7-day additions be made on the 7-year shemitah - the religious cycle commanded by Moses.
The book of Jubilees also indicates it might be so. Like the earlier book of Enoch, the days were 364, but Jubilees adds another dimension - a relationship between the weekly Sabbath and the longer term sabbatic year. ‘Jubilees’, referring to the former book, says:
“Enoch was the first among men that are born on earth who learnt writing and knowledge and wisdom and who wrote down the signs of heaven according to the order of their months in a book, that men might know the seasons of the years according to the order of their separate months, and he was the first to write a testimony and he testified to the sons of men among the generations of the earth, and recounted the weeks of the jubilees, and made known to them the days of the years, and set in order the months and recounted the Sabbaths of the years.” (Book of Jubilees 4:17-18)
Here is the clue to the problem of our solar year being 365.24 days. The Qumran community extended their annual count of days to the ‘Sabbath of years’ suggesting that further intercalations were made at those special intervals. So let us attempt a reconstruction to see if it tracks the solar cycle. Here is Carmignac’s proposition. Each seventh year had an additional seven days added.
Hence the total number of days per ‘week of years’ (seven years) was:
2548…(364*7)
plus 7…(added on 7th year)
= 2555…(total number of days)
Now, please divide 2555 days by seven years. The figure is now equivalent to
365 days per year! That is very close and the question begs to be asked, “Can further sabbath adjustments complete the solar cycle without losing the sabbatic pattern and without losing time?” Let’s try.
There is another special year,
the Jubilee. Sabbaths began 1st Nisan but Jubilee was announced with fanfare of trumpets on the seventh month of the forty-ninth year. So, let us continue our reconstruction of the Enochian calendar with 7 leap days every seven years, by adding 7 extra days every forty-nine years. Now calculate the number of days in the Jubilee cycle.
2555…(1st week years 1-7)
2555…(2nd week yrs 8-14)
2555…(3rd week yrs 15-21)
2555…(4th week yrs 22-28)
2555…(5th week yrs 29-35)
2555…(6th week yrs 36-42)
2555…(7th week yrs 43-49)
plus 7…(added on 49th year)
= 17892…(total number of days)
Now, please divide 17892 days by forty-nine years. The figure is now equivalent to
365.14 days per year! Wow, pretty close isn’t it?
I hasten to add, that I am not insisting that the original Hebrew calendar was done this way. As Patrick pointed out in post #2, the biblical calendar was luni-solar, whereas this one is solar. Where we do differ however, is that the Qumran community could have made this calendar work quite efficiently for several hundred years, without the seasons drifting, and without compromising their special Sabbath formula.