Why track 40th days? Well it has mathematical significance. More over for me, a rebirth and a death.
It is most remarkable that each passing solar year can very effectively (even perfectly!) be measured and metered out by keeping track of every 40th day. Essentially, the annual transit which completes every 365.24219 days can just about EXACTLY be cross-referenced to a tally of those days that make up a 40-day cycle!
This respective axiom is easy to prove in the regard that 1 day in a cycle of 40 days (the 40th day) inherently comprises 2.5 percent of the time stream. This rate is also inherently equal to 9.131055 days per year (on average).
2.5 percent of all days = 9.131055 days per year
For the purposes of presenting a clear analysis, the rate of a unique day in each and every cycle of 40 days (the 40th day) will be typed or classed to be a rate of those days that are accounted for apart from other days comprising the annual cycle.
Through this interpretation, those days classed or typed as "40th days" should routinely be counted outside or set apart from the other days--which are generally classed or typed as "annual days".
The rate of the solar year can quite perfectly be correlated to a fixed count of the other day units (a number of "annual days") using a calendar count of 9 years--as is diagrammed below.
This ultimately means that--through the time track of an unbroken cycle of 40 days--a fixed count of annual days or calendar days (356 days) can always be counted out in correspondence with each passing year cycle.
The following diagram attempts to show that a fixed number of solar-day units can effectively be correlated to the rate of each passing solar year. This correlation or cross-reference only requires that each passing 40th day (9.131055 days per year on average) always be counted apart from all of the other days (or those days counted as annual days or calendar days).
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A PERFECT 9-YEAR CALENDAR *
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Renewal = 1 day Year 1 = 356 days
Year 2 = 356 days
Year 3 = 356 days
Year 4 = 356 days
Year 5 = 356 days
Year 6 = 356 days
Year 7 = 356 days Year 8 = 356 days Year 9 = 356 days
* - Each 40th day (a perpetual rate)
must be leaped or intercalated
apart from days comprising the
the cited calendar count.
____________________________________ Calendar count = 3205.00000 days
40th (uncounted rate) = 82.17949 days Average 9-year rate = 3287.17949 days Annual calendar rate = 365.24217 days Actual solar-year rate = 365.24219 days Average difference = 2 seconds (!!!)
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