 400 year Cycle = Solar & Sabbatical Sync

1 Sabbatical Year:

1 Week = 6 days + 1 Sabbath = 7 Days

1 Month = 4 Weeks = 24 days + 4 Sabbaths = 28 Days

1 Year = 13 Months = 312 days + 52 Sabbaths = 364 Days

1  Solar Year = 365.2425 Days    Error = 1.2425 Days

49 Sabbatical Year:

6 Years = 364 Days X 6 Years = 2,184 Days

7th Year = 364 Days + 7 Days  = 371 Days

7 Sabbatical Years = 2,184 + 371 Days = 2,555 Days

7  Solar Years = 365.2425 X 7 = 2,556.6975 Days    Error = 1.6975

14th Sabbatical Year        = 2555 + 2555 = 5110 Days

14th Solar Year = 365.2425 X 14 = 5113.395 days   Error = 3.395 days

28th Year        = 5110 + 5110 + 7 Days = 10227 Days

28th Solar Year = 365.2425 * 28 = 10226.79 Days   Error = - 0.21 day

49th Year        = 28 years + 14 years + 7 years =10227 + 5110 + 2555 = 17892 Days

49th Solar Year = 365.2425 * 49 = 17896.883 Days   Error = 4.8825 days

50th Jubilee Year: Add 7 Days

50th Year = 17892 + 364 Days + 7 Days = 18,263 Days

50 Solar Years = 50 X 365.2425 = 18,262.125 Days Error = -0.875 Days

400th  Sabbatical Years:  Grand Jubilees: Subtract 7 Days

7 Jubilees = 350 years = 7 X 50 years =  7 X 18,263 Days   = 127,841 Days

8th Jubilee =  50 years = 18,263 Days - 7 Days   = 18,256 Days

400 Sabbatical Years = 127,841 +18,256 = 146,097 Days

400 Solar Years = 400 X 365.2425 = 146,097 Days        Error = none 400 Years =  146,097 Days = 146,097 Days/(7 Days/Sabbath) = 20,871 Sabbaths

If we divide 20,871 Sabbaths with 777, we will get 26.8610039.

To make it a complete number 27, that would be 146,853 Days, 756 more days

756 days is equivalent to 2 Sabbatical years (2 X 13 X 28)  + 1 lunar month (28).

So, 27 X 777 X Sabbath = 400 Years + 2 Years + 1 Sabbatical Month or 402 Sabbatical Years + 1 Lunar Month

So, every 402 Years, the cycle will move by one month to another month.

See the 402 year cycle on the next page.