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Celestial
Witnesses of the Meridian of Time
by
John P. Pratt
The
year of the Savior's birth has been uncertain to Bible scholars,
but now the Enoch calendar has been discovered to be a second witness
with the Hebrew calendar that Christ was born in the year 1 B.C.
It also testifies of many events of the latter days, including the
upcoming Feast of Trumpets.
There has long
been a controversy about just what was the year of the Savior's
birth. Scholars cannot agree to within much better than a decade
(about 8 to 1 B.C.), with most favoring 6-5 B.C. The Lord gave the
prophet Enoch a big clue, that Christ would be born in the "meridian
of time" (Moses 7:46), most likely referring to a precise midpoint
of earthly time. The Book of Enoch records that an angel also revealed
to Enoch a special calendar, the Enoch calendar. The Lord also revealed
another calendar, used by Moses, which became the modern Hebrew
calendar.
When one counts
years the same way as days, as the Lord seems to do, both of these
calendars have a year which is indicated to be the "meridian of
time." In the case of the Enoch calendar, the meridian has just
been discovered to be indicated by the phases of the moon, accurate
to within a tenth of a day over eight thousand years. Both calendars
testify that Christ was born in 1 B.C. That agrees with the traditional
L.D.S. interpretation of D. & C. 20:1, that Christ was born
1,830 years before the L.D.S. Church was founded on Tue 6 Apr 1830.
This article
is the first of a three part series. The witnesses of these two
calendars of the meridian of time is the principal topic for this
month. Next month the Lord's apparent use of the Enoch calendar
in the restoration of the L.D.S. Church is discussed. In September
the topic will be the Feast of Trumpets, which is indicated on the
Enoch calendar to be special this year. The author will be celebrating
that feast on Fri 20 Sep 2002 in Orem, Utah. Those interested in
joining the festivities may obtain information at feasts@johnpratt.com.
Let us begin
by considering how the Hebrew calendar indicates a meridian of time,
and then discuss the newly discovered witness of the Enoch calendar.
It should be noted that the relationship of this meridian to the
7,000-year temporal history of the earth is not discussed,[1]
but rather the meridian as indicated on these two calendars.
Years
as Days
The Lord has told us that he counts years the same way as days.
For example, he had the children of Israel consigned to the wilderness
for forty years, based on their searching out of the land for forty
days. He explicitly stated the he reckoned "each day for a year" (Num.
14:34). Similarly, he had the prophet Ezekiel perform a symbolic act
for a specified number of days. The Lord explained, "I have appointed
thee each day for a year" (Ezek. 4:6). These verses suggest that the
Lord might use a calendar in which he numbers the years in the same
way that he instructed us to number days. The 7-year sabbatical cycle
supports this interpretation.
The Sabbatical
Cycle. The Lord told Moses to count years by sevens, even as
days are counted by sevens. Years of the sabbath cycle of 7 years
begin in the fall, rather than the spring. Detailed instructions
were given as to how to celebrate every seventh year, which was
designed to be a year of release, free from work and the cares of
the world, even as the weekly sabbath day is a day of rest (Lev.
25).[2]
Traditionally sabbath years can be found as being the Hebrew years
that are exactly divisible by seven. For example, the year 2001
was the Hebrew year 5761, which began the previous fall on Sat 30
Sep 2000. The number 5,761 is evenly divisible by 7, so that year
was the sabbath year which completed a "week" of seven years. All
of my calculations agree that the Hebrew tradition is correct. An
easy way to remember where we are currently in the sabbatical cycle
is that the destruction of the Twin Towers on 11 Sep 2001 occurred
in the last weeks of a seven-year period.
It is convenient
to label years of the sabbatical cycle as SUNDAY, MONDAY, etc.,
the same as we do days of the week, so that the sabbath year would
be called SATURDAY, the last year of a week of years. The name in
all capital letters means that a year is indicated rather than a
day. Thus, this year is a SUNDAY, the first year of the 7-year cycle.
The Hebrew
Calendar. The Hebrew calendar has every month start near a new
moon. Because twelve moons ("months") require only about 354 days,
sometimes an entire extra month of 30 days is added so that the
year averages 365.24 days. The details of this mechanism are not
needed here. It is only necessary to understand that the calendar
has a precise formula for chaining together years of six different
lengths: 353, 354, 355, 383, 384, or 385 days. Each type of year
can only begin on certain days of the week, and they follow a set
pattern.
The Hebrew calendar
is shown in Figure 1. It has twelve months, with a thirteenth month
called Adar 2 added seven times every nineteen years. Most of the
feast days are indicated, except that Moses was also told that the
first day of every month was also a sacred day. There are two different
"New Year's Days" on this calendar. The day 1 Nisan is the first
day of the first month, and the beginning of the year for king's
reigns and other purposes. The day 1 Tishri is the first day of
the seventh month. It begins the year when counting the sabbatical
cycle, and it is used by modern Hebrews as the beginning of the
civil year.
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Figure
1. The Hebrew Calendar
(Click for image enlargement)
Grand Years.
Let us now attempt to use the same pattern employed in naming and
numbering days of the Hebrew calendar to naming and numbering years.
To my knowledge this has not been done before. I believe I have
been successful in fitting the Hebrew calendar template over the
years and there is exactly one way that fits perfectly throughout
history. It is not my purpose now to publish all those details here,
but it suffices to say that there is such a strikingly meaningful
symbolism throughout history to make a strong case both that God
actually is using the pattern and that he knows the end from the
beginning.
The idea then,
is to name some year 1 NISAN, and then the following year 2 NISAN,
and so on, following the Hebrew calendar pattern. Capital letters
will be used to indicate that 1 NISAN refers to an entire year.
This numbering of years refers to years which begin on the day 1
Nisan in the spring. On the other hand, the naming of years for
the days of the week, which corresponds to the sabbatical cycle,
refers to years which begin on 1 Tishri in the autumn. Thus, a SATURDAY
year begins in the fall. This is complicated, but it is how the
system appears to work. One last needed detail is that the patterns
of the six different possible year lengths refer only to years beginning
on 1 Tishri.
Let us define
a "Grand Year" to be the set of years either from a year 1 NISAN
to 1 NISAN or from a year 1 TISHRI to the next 1 TISHRI. Thus, a
Grand Year may comprise 353, 354, 355, 383, 384, or 385 years, each
being referred to as if it were a day on the Hebrew calendar.
The Chosen
Fit. So how do we go about fitting the template of the Hebrew
calendar cycle to map a year to a day? The details of this mapping
have not yet been published, nor even the template of the perpetual
Hebrew calendar, which is the corrected version used in my articles.
All that is needed to know for this article is that the pattern
is a fixed pattern throughout all of history, and that it only has
to be correlated to one day in history in order to be defined for
every day.
Passover is
the designated feast on the Hebrew calendar which symbolizes the
first coming of Christ in the meridian of time.[3]
Christ was born, began his ministry, and died at Passover. Thus,
an obvious choice is to align the Hebrew year-to-day template so
that one of those three years corresponded to the year 15 NISAN.
That way, the event would have occurred on the day 15 Nisan of the
year 15 NISAN. The choice which results in many key events of history
having occurred in "holy years" is to choose the beginning of the
Savior's public ministry, Sat 6 Apr A.D. 30, to have been in a year
15 NISAN. It must be emphasized that once that date is fixed to
a point in the template, all years in history are determined; no
other choices can be made. While an entire chronology of history
is beyond the scope of this article, it seems like one example is
in order to show the power of the symbolism of Grand Years.
The Babylonian
Captivity. The Lord prophesied through Jeremiah that there would
be a seventy-year period when Judah would be taken captive to Babylon
(Jer. 25:11). Let us construct a Grand Year mapping which covers
that time period, counting back from setting the year A.D. 30 to
be 15 Nisan. The following table summarizes the anchor points, where
WEEKDAY refers to the year of the sabbatical cycle, which began
the previous autumn, and DAY refers to the Hebrew year beginning
in the spring of that year.
| Year |
WEEKDAY |
DAY |
Grand
Year Length |
| -899 |
THURSDAY |
1 TISHRI |
354
years |
| -545 |
MONDAY |
1 TISHRI |
353
years |
| -192 |
THURSDAY |
1 TISHRI |
385
years |
| 193 |
THURSDAY |
1 TISHRI |
354
years |
In this table,
the astronomical method of listing years is used where the positive
years mean A.D., and the negative years differ by one from B.C.
years. That is, the year -192 refers to 193 B.C. Astronomers prefer
this method because it shows the true numerical relationships. The
B.C. method suffers from having no 0 B.C. year between A.D. 1 and
1 B.C. For example, the number of years separating -192 and 193
can be easily calculated to be 385 years.
Three of the
major dates associated with the Babylonian captivity are: 1) when
Daniel and the first captives were taken in the first of the seventy
years, 2) when the king and most of the city were taken, and 3)
when they were released and celebrated at the feast of tabernacles
in Jerusalem in the seventieth year.[4]
When the years are counted the same as days, starting from 1 TISHRI
in -899 (900 B.C.), a very clear pattern emerges:
| Event |
Gregorian
Calendar |
Perpetual
Hebrew Calendar |
| Daniel
taken captive |
Sat 18
Jun 605 B.C. pm* |
Sun 17
Tammuz FRI 1 AB |
| King Jeconiah
captive |
Sat 10
Mar 597 B.C. |
Sat 1 Nisan
SAT 9 AB |
| Feast of
Tabernacles |
Sun 11
Sep 537 B.C. pm* |
Mon 15
Tishri THU 10 TISHRI |
The notation
am* and pm* refers to before 6 a.m. and after 6 p.m., respectively,
when the stars (*'s) are shining. The meaning of the seventy years
now becomes significant when seen in the light of counting the years
the same as days. The years of the sabbatical cycle are indicated
as FRI, SAT, and THU and the day/month years are shown as 1 AB,
9 AB, and 10 TISHRI.
What will be
obvious to those familiar with the Hebrew calendar is that 1 AB,
9 AB, and 10 TISHRI are all days designated as holy days on the
hebrew calendar (See Figure 1). The day 1 AB is the least significant,
being the first day of the month Ab, and a minor holy day as was
the first day of every month. The second day, 9 Ab, is an annual
fast day commemorating the destruction of the temple both in 587
B.C. and again in A.D. 70. The day 10 Tishri is the Day of Atonement,
the holiest day of the year, being a day for reconciliation with
God. Thus, the years marking the 70-year captivity are not only
all "holy years," each is also significant in itself: a year of
beginning, a year of mourning, and a year of reconciliation with
God. It is these significant patterns which suggest that God actually
uses this day-to-year reckoning.
Christ born
at Meridian of Grand Year. Following the same pattern shows
that 6 Apr 1 B.C. fell in the year called 14 ADAR 2. The Feast of
Esther begins on the day 14 Adar, or, in years with the thirteenth
month, on 14 Adar2. So the proposed year of the Savior's birth also
fell in a "holy year" of the Grand Year, corresponding to the Feast
of Esther.
Moreover, that
particular Grand Year comprised 385 years. The Feast of Esther that
year fell in the 193rd year of the Grand Year, which is precisely
the middle year of the 385 years. So the birth year of Christ occurred
at the meridian of a Grand Year, which was also a "holy year."
One final point:
the name Esther means "A star," so the birth year of Christ was
the year of the "Feast of A Star." That seems appropriate, in light
of the appearance of the Star of Bethlehem, which heralded his coming.
If that was planned, then even Esther's very name was inspired.
Christ born
at Meridian of Jubilee Year. The year beginning in Sep., 2 B.C.
was a SUNDAY, the first year of the sabbatical cycle. In fact, it
was also a Jubilee year which is always a SUNDAY, occuring every
49 years.[5]
The jubilee year was to be announced with the blowing of the trumpet
on the Day of Atonement (in September/October) (Lev. 25:9-10). If
Christ was born during the night preceding 6 Apr 1 B.C., as all
of my calculations indicate, then he was born exactly on the meridian
day of that Jubilee year, which was also the day of Passover. That
is, from 10 Tishri to 15 Nisan is half a solar year. A normal Hebrew
year is ten days short of a solar year, to the 5 extra days from
the 10th to the 15th is exactly what is required to separate the
two days by half a solar year. Thus, the meridian of time is precise
down to the very day, not just the year. Now let us turn to another
witness of the meridian of time.
The
Enoch Calendar
In a previous article[6]
we have discussed the fact that the Book of Enoch used to be in the
Bible and was accepted by the Savior and his apostles as having been
written by the antediluvian prophet Enoch, so I will refer to it as
if actually written by Enoch. We noted that it describes a calendar,
but that it was sketchy on the details of just how to add the extra
weeks to its 364-day year in order to keep it aligned with the seasons.
The reader's
indulgence is asked in reading through the following overview of
how the Enoch calendar works. Only a brief description and a bare
minimum of mathematics will be included, needed to appreciate just
how precise the meridian of time really is.
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Figure
2. The Enoch Calendar
(Click for image enlargement)
Aligned with
New Moon. The Enoch calendar has 364-day years, each comprising
four 91-day quarters and exactly 52 weeks (See Figure 2). The year
begins in the spring, on a Sunday near the first day of spring on
20-21 March on our calendar. For example, this year it begins on
Sunday, 24 Mar 2002. Because the Enoch year has only 364 days, it
begins a day earlier every year according to our 365-day calendar.
Thus, next year it will begin on Sun 23 Mar 2003. Every few years
an entire extra week of seven days is added, so that the first day
is always on a Sunday near the spring equinox, when the sun rises
due east and appears to enter the northern part of the sky.
The Problem.
The big problem which Enoch leaves as an exercise for the reader
is just when to add the extra week. Fortunately, Enoch provides
the clue needed. He states that the year should also begin near
a new moon if possible (Enoch 73:13-14, 12,
16). At first blush that sounds like a tall order, because it
might turn out that just when we need to add a week to keep the
year beginning at the right season, that the new starting day would
fall on a full moon. So how can we be sure that we can always avoid
a full moon occurring on the indicated Sunday near the first day
of spring?
The Solution.
Without going through the derivation, let's just look at the answer.
A calendar is a device to replace complicated mathematical calculations
with a simple pattern that gives the same result. It turns out that
one can use a pattern of adding five extra weeks every 27 years
to avoid having the Enoch year start within a day of a full moon
all through history.[7]
To see how that works, we need to understand realignment cycles.
Realignment
Cycles
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Figure
3. The hands of a clock realign every twelve hours.
Both the Enoch
calendar and the Hebrew calendar realign three cycles, namely the
week of seven days, the lunar month of 29.530594 days and the year
of 365.2423 days.[8]
It is like approximately lining up hands on a clock where the cycles
were not simple multiples of each other. In other words, the hands
on our clocks line up perfectly twice a day because there are exactly
24 hours in one day (See Figure 3). The hands on a clock using the
cycles of the week, lunar month and solar year would never line up
perfectly, but over increasingly long intervals, they would line up
better and better (See Figure 4).[9]
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Figure
4. The Hebrew and Enoch calendars align the week, month and
year.
It is easy to have
a computer calculate just what are the intervals of time which approximately
make these intervals "come out even." Those intervals "realign" the
cycles, much like the hands on a clock are realigned at midnight and
noon. Periods which align all the cycles better than any shorter period
are called "realignment cycles." Calculations show that realignment
cycles for the week, month and year include 3, 11, 27, 57, 68, 152,
220, 372, 1,803, 2,023 and 3,454 years.[10]
That means that after those numbers of years, that the Enoch and Hebrew
calendars will approximately begin to repeat. The longer intervals
give the best alignments.
Enoch
Calendar Realignments
In order to define how the Enoch calendar might work, it is
only necessary to derive a simple method of using realignment cycles,
so that the Enoch calendar can be determined throughout history.
The 27-year cycle mentioned above is one of those intervals. If
we were to simply use that table by cycling around it forever, then
with each 27-year period, the error would accumulate to become unacceptably
large. But it turns out that we can count first 68 years and then
84 years around the 27-year table to achieve the greater accuracy
of the 152 year realignment cycle. Then another 68-year period brings
the even greater accuracy of the 220-year realignment cycle. Similarly,
the counts can be extended to finally reach the 3,454-year realignment
cycle, it being the most accurate. There may be more accurate cycles
larger than this, but this is the best we can calculate using the
orbital accuracies known today.
Witness
of the Enoch Calendar
So what has all on this got to do with a witness about the meridian
of time? Your patience in dealing with these tedious numbers is
about to pay off. Having determined the realignment intervals and
how to use the 27-year table, we now need only determine when the
moon happens to be in the right position to know precisely when
to begin the table. The table begins with four consecutive 364-day
years, so it needs to start on a day about 23 March, so that the
first four years will begin on 23 March, 22 March, 21 March, and
20 March.[11]
The Enoch calendar always begins on a Sunday, so it is only necessary
to find the Sun 23 Mar days throughout history which are at a new
moon.
Before looking
at the table of results, allow me to remind you what to expect.
We can have the computer search for dates with a new moon. After
the first is found, the others will be found separated by realignment
cycles. Such dates usually appear to be very random, and one would
have to look carefully to notice the realignment interval patterns.
Now let us look
at the results. It turns out that if we search from 4000 B.C. to
A.D. 4000 for Sun 23 Mar with the moon's mean phase at 0.0 days,
that not one day in history is found to meet those criteria! If
we instead seek for the phase 0.1 days, then the following dates
are found:[12]
| Date |
Lunar
Phase (days) |
| Sun
23 Mar -3997 |
0.1 |
| Sun
23 Mar -3158 |
0.1 |
| Sun
23 Mar -2566 |
0.1 |
| Sun
23 Mar -2319 |
0.1 |
| Sun
23 Mar -1727 |
0.1 |
| Sun
23 Mar -296 |
0.1 |
| Sun
22 Mar 296 |
0.1 |
| Sun
23 Mar 1727 |
0.1 |
| Sun
23 Mar 2319 |
0.1 |
| Sun
23 Mar 2566 |
0.1 |
| Sun
23 Mar 3158 |
0.1 |
| Sun
23 Mar 3997 |
0.1 |
What is supposed
to jump out at you in this list is that every negative year has a
positive year counterpart (again, astronomical notation of years is
used). That is totally unexpected and very significant.
Meridian
of Time. Coming back to the concept of the meridian of time,
we see that all of the dates are spaced equally around the astronomical
year 0, which historians call 1 B.C. Indeed it appears that the
entire table was designed to emphasize the symmetry around that
year. The key lines in this table are those for -1727 and +1727.
They are separated by exactly 3,454 years, which was the most accurate
realignment cycle found. The amazing coincidence which causes the
table's symmetry is that a 3,454 year alignment period just happens
to be centered exactly on the year 0. That seems unusual enough
as to constitute evidence for celestial planning on the part of
the Creator. But the symmetry continues if we look with a higher
power microscope.
My model of
the Enoch calendar pieces together chains of 68- and 84-year cycles
to make ever more accurate chains. In particular, starting in the
year -296, one counts to the year +296 with chains of 220, 152,
and 220 years, each of which is a realignment cycle. Alternating
the lengths is important because one is too long and the other too
short, so that will maximize accuracy for every year while building
increasingly accurate longer pieces. Each 220 years is counted as
68-84-68, and the 152 as 68-84. That means that the table in detail
around the year 0 (1 B.C.) looks as follows:
| Date |
Count |
Lunar
Phase (days) |
| Sun
23 Mar -296 |
start 68
(also 220, 592) |
0.1 |
| Sun 22
Mar -228 |
start 84 |
0.9 |
| Sun 23
Mar -144 |
start 68 |
-0.4 |
| Sun 23
Mar -76 |
start 68
(start 152) |
0.4 |
| Sun 22
Mar -8 |
start 84 |
1.1 |
| Sun 23
Mar 8 |
continue
84 |
-0.9 |
| Sun 22
Mar 76 |
start 68
(start 220) |
-0.1 |
| Sun 22
Mar 144 |
start 84 |
0.6 |
| Sun 23
Mar 228 |
start 68 |
-0.7 |
| Sun 22
Mar 296 |
start 68
(start 1431) |
0.1 |
The point of this detail is that the seemingly random-looking periods
of counting 68 and 84 years needed to create the longer chains of
152 and 220 years also form a pattern which is exactly centered on
the year zero. So even the length of the shorter chains work together
to form a perfect symmetry which emphasizes the crossover point at
the year 0. To me, this is very strong evidence that orbits of the
earth and moon were carefully aligned at the Creation to be centered
on Christ's birth at the meridian of time. Looking at it from the
laws of physics, I would say that the Creator set the "initial conditions"
to be exactly as he wished. Thus, the Enoch calendar bears testimony
that the meridian of time occurred in the year 0 (1 B.C.).
Conclusion
Scientists have found a high degree of order in the motion of
the planets in the solar system, which they explain with natural laws.
That is fine as far as it goes, but they have assumed that the precise
orbital periods, such as 29.53059 days for the mean period of the
moon's phases, were simply random numbers, resulting from a Big Bang
explosion long ago. Books with titles like The Blind Watchmaker
have been written to ridicule the idea that God created the heavens
to be a precise timepiece. Such groundless diatribe will not withstand
the test of time.
If Alma were
to refute the agnostic Korihor today with his testimony that "all
the planets which move in their regular form do witness that there
is a Supreme Creator" (Alma 30:44), Korihor would answer that natural
laws have explained everything. But given the more precise alignments
such as those in this article which depend on the exact values of
the orbital periods, Korihor would be stumped. There are no known
natural laws to explain the precise values of orbital periods; they
are simply assumed to be random, referred to in physics as "initial
conditions." He would be unable to muster any refutation except
that all the known alignments are merely lucky coincidences. That
rebuttal is so unlikely to be true that it is ludicrous. Thus, even
today, Korihor should remain mute.
The results
summarized in this article indicate that the solar system does indeed
constitute an incredibly accurate clock which not only chronicles
events perfectly throughout history, but also implies that key events
were known ahead of time by the Lord. We should not be surprised
because he has told us all along that he knows the end from the
beginning. Truly, the Lord meant it literally when he stated that
"all things are created and made to bear record of me" (Moses 6:63).
The heavens brilliantly declare the glory of God and testify irrefutably
that there is a Supreme Creator.
Notes
- The
7,000 years are apparently treated as 7 days of 1,000 years each,
and indivisible as far as the meridian of time is concerned. The
meridian occurs between the fourth and fifth day on that calendar.
- See
Millett, Ronald P., "A Year's Supply
for Times of Liberty and Plenty," Meridian Magazine, 8 Apr
2002.
- See
Pratt, J.P.,"Passover:
Was it Symbolic of His Coming?" The Ensign 24,
1 (Jan, 1994), pp 38-45.
- The
seventy years were counted from 1 Tishri. See Pratt, J.P., "When
Was Judah's 70-Year Babylonian Captivity?" The Ensign
28, No. 10 (October, 1998), pp. 64-65.
- I
have not published a derivation of the jubilee year, and it is
currently not generally known to scholars, but I couldn't pass
up including it here to show that the very day of Christ's birth
was the meridian of time. The jubilee is the fiftieth year of
the sabbatical cycle, and is counted inclusively as the first
year of the next jubilee cycle. Thus, although it is the fiftieth
year of the cycle, the cycle only contains 49 years. The year-to-a-day
analogy also obtains here because the Feast of Firstfruits is
counted exactly the same. It occurs "fifty days" after the sheaf
offering, which was exactly 7 weeks thereafter (Lev. 23:15-16).
The Sadducee sect of Judaism interpreted that to mean that both
offerings always occurred on a Sunday, which appears to me to
be correct.
- Pratt,
J.P., "Enoch Calendar
Testifies of Christ", Meridian Magazine (11 Sep 2001).
- The
pattern is that the 5th, 7th, 16th, 21st, and 23rd years of the
27 have 371 days. The rest each have 364 days.
- That
value for the lunar month is so accurate that it can be used throughout
history. It is the value used in the traditional Hebrew calendar.
The modern astronomical estimate is slightly different, being
29.5305956 days, being the average from 4,000 B.C. to A.D. 3,000.
The length of the year is slowly changing. It is currently equal
to 365.2422 days, but somewhere between 365.2423 to 365.2425 days
is a better average throughout history, depending how far into
the future one wishes to project. The Lord seems to use the 365.2423
days, so I do too.
- See
"Realignment
Intervals" section of "The Symbolism
of Passover and of Elijah's Return" Ensign 15,
No. 7 (July, 1985), pp. 55-64 for more on Realignment intervals.
- These
can be calculated on my web site at http://www.johnpratt.com/items/calendar/mathutil/realign.html
. For reference, here is a table, which includes the realignment
intervals, and some close hits:
| Years |
Months |
Weeks |
Year
Error |
Month
Error |
| 3 |
37 |
156 |
-3.727 |
-0.632 |
| 11 |
136 |
574 |
+0.335 |
+1.839 |
| 27 |
334 |
1,409 |
+1.458 |
-0.218 |
| 57 |
705 |
2,974 |
-0.811 |
-1.069 |
| 68 |
841 |
3,548 |
-0.476 |
+0.770 |
| 84 |
1,039 |
4,383 |
+0.647 |
-1.287 |
| 152 |
1,880 |
7,931 |
+0.170 |
-0.517 |
| 220 |
2,721 |
11,479 |
-0.306 |
+0.258 |
| 372 |
4,601 |
19,410 |
-0.136 |
-0.263 |
| 592 |
7,322 |
30,889 |
-0.442 |
-0.009 |
| 839 |
10,377 |
43,777 |
+0.710 |
+0.026 |
| 1,431 |
17,699 |
74,666 |
+0.269 |
+0.017 |
| 1,803 |
22,300 |
94,076 |
+0.133 |
-0.246 |
| 2,023 |
25,021 |
105,555 |
-0.173 |
+0.008 |
| 3,454 |
42,720 |
180,221 |
0.096 |
+0.024 |
- It
is desirable to have the years start after the first day
of spring because then the fall equinox will also be close to
the true value. The true fall equinox is about 23 Sep, so in years
when the fall equinox on the Enoch calendar falls on Sat 23 Sep,
the spring must fall on Sat 25 Mar.
- These
calculations can be verified with the calendrical conversions
on my web site at http://www.johnpratt.com/items/calendar/calcalc/calcalc.html,
by choosing the "Planets" calendar and leaving it on the default
version, which is the moon. Simply enter the date into a Gregorian
calendar and the lunar phase in days will appear in the Planets
calendar. They can also be repeated by a) calculating the day
= Julian Day - 9.70, then the phase = period*FRAC(day/period)
where period = 29.5305956. For example, Sun 23 Mar 1727
is Julian Day 2,351,915, yielding a phase of 0.075, which rounds
up to 0.1. Note that the only exception in the table is that in
A.D. 296 the day falls on 22 Mar instead of 23. That has to do
with the precise manner in which leap days are inserted into our
own Gregorian calendar. It turns out that 22 Mar 296 dates is
the only Sun 22 Mar from A.D. 1 to 4000 that has a lunar phase
of 0.1 days, so it is included in the list.
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