Copyright © Oct. 10, 2010
At first glance leap year seems a misnomer; ancient Rome effectively used a leap month because their calendar employed less than 365 days for a year. There is however a leap day, the placement of which is critical mathematically. The association with a year developed because ancient Rome dragged February with the leap period to its present location. By recognizing 3200 B.C. as the first solar year it’s noted there must be a definitive mathematic leap year.
The rotation of earth each year beyond the 365 whole days accumulates and equals almost a whole day after four years (0.2424 ephemeris leap * 4 years = 0.9696 decimal rotational excess in 4 years). The excess equals 0.000664109 per day (365 * 4 = 1460 days in 4 years; 0.9696 / 1460 = 0.000664109). More accurately, in 33 years the rotational excess would amount to 0.000664176 per day to the billionth (8 / 12045 = 0.000664176). This is of course a mathematical average.
The most accurate ephemeris calendar that can be written will have a rotating leap day. This rotating leap day will accumulate 46 extra days in the first leap cycle. Because the excess rotation equals 0.000664176 per day, it isn’t until the 1506th day that its placement is required (365 * 4 = 1460 + 46 = 1506 days * 0.000664176 rotational excess per day = 1.000249056 decimal accumulation which results in the leap day). The calculations then proceed to place the leap day on an uneven reductive scale in subsequent years. These leap days have an association with certain years (definitely new astronomic territory).
The current leap year association may be from Eratosthenes through the Canopus Decree then through Sosigenes and given to Julius Caesar (45 B.C. was the epoch of the Julian calendar thus not a leap year). This sounds like the same principle used to declare the reign of ancient dictators as consummating the beginning day of the year they took office. I had this very argument with a researcher from the Calndr-L Club many years ago about whether the 32nd or 33rd year was the leap year, but at that time had no mathematical proof so fell back in line; my how things do change if you wait for them.
The first vernal leap day was in the year 3196 BC inserted between August 14th and August 15th in the Egyptian Ephemeris calendar. That day accumulated a full extra day’s rotation of earth from the beginning day of the first solar year. This first solar year was 3200 BC and began with a Jan. 1st Friday (1/7 =.1428). The 1506th day was then a Friday as 1506/7 = 215.1428. That first leap day had an association with the fifth (5th) year in the rotation; not the fourth (4th) year *** VERY IMPORTANT ***. This isn’t a guess or some dictator’s impudent decision; it is rather mathematic and astronomic accuracy.
You can see on page 247 the Gregorian Leap Year (fourth year) can not be aligned correctly with the celestial degrees. The true alignment of leap years are years 5,9,13,17,21,25,29 and 33. So, not only the seven days and solar years are confirmed mathematically and astronomically but the leap days and leap years as well. Yes, you can define the day of the week as well as the exact year and the exact leap day as well as the yearly association of the leap day mathematically. This alignment includes the Crucifixion Year and Pascal Year as leap years. While research is limited by what can be discovered from the past, mathematics unfolds the physics of life whether or not anyone in the history of the world ever knew of its laws. It now seems very interesting to know the true leap day and leap year in our modern times.
The calendar is the focus of civilization and as such really represents stability, needed to develop “life, liberty and the pursuit of happiness”. Thus, the “mean” leap day is a very attractive development at the foundation of the mathematically accurate leap day. It’s found by dividing the total amount of days in the ephemeris 231-year mathematical cycle (84371 days), by the number of leap days necessary (56 leap days), a “mean” leap period is defined (84371/56 = 1506.625 leap day cycle). These “mean” leap periods rotate through each 33-year ephemeris cycle; precedent isn’t required to identify the leap day.
1506.625 days – 5th year, 15th hour.
3013.25 days – 9th year, 6th hour.
4519.875 days – 13th year, 21st hour.
6026.5 days – 17th year, 12th hour.
7533.125 days – 21st year, 3rd hour.
9039.75 days – 25th year, 18th hour.
10546.375 days – 29th year, 9th hour.
12053 days – 33rd year, 24th hour.
At the end of each one of these hours begins a mathematical 24-hour “rest” (period of adjustment) to the Ephemeris calendar. This is the final definition of the Ephemeris calendar, whose angular accuracy is dependent on precise diurnal chronometry precluding astronomic change (<1’ per cycle; non-cumulative). David was referring to a Sabbath day in Psalms 95 “To day if ye will hear his voice,” (in other words belief in a day). The calendar was mis-aligned by Joshua, and David wanted to correct the Sabbath Day (Heb. 4:7,8); to do so the leap day must also be correct. Who can imagine defining even one day with the supposed billions of fraudulent geologic years, but to define the leap day mathematically is the pinnacle of astronomic accuracy.
These leap days are a matter of belief and define what Christian is about (a Creator). It’s almost unbelievable the leap day and leap year can be reduced to a single fraction; two numbers and a line. All of the charts have been changed to reflect this new astronomic and mathematical reality, except the vernal leap day (X) has been left at the end of each year for ease of computation of the charts (I’m not suggesting it be celebrated there).