17 |
|
|
|
|
|
|
Ga5-4 |
Ga5-5 |
Ga5-6 |
Ga5-7 (118) |
Ga5-8 |
Ga5-9 |
Ga5-7 is located at position 118 = 4 *
29.5 - it is a kuhane station.
The preceding Rei has an 'ugly'
117 as its ordinal number (though
agreeing in a way with 17 as period
number).
A way to avoid 117 is to take away 50 +
7 (the number of glyphs before
Rei
at Ga2-27):
17 |
|
|
|
|
|
|
Ga5-4 |
Ga5-5 |
Ga5-6 (60) |
Ga5-7 |
Ga5-8 |
Ga5-9 |
18 |
|
|
|
|
|
|
|
Ga5-10 (64) |
Ga5-11 |
Ga5-12 |
Ga5-13 |
Ga5-14 |
Ga5-15 |
Ga5-16 (70) |
From Ga2-27 to Ga5-6 there are 2 solar
months or 60 days:
|
59 |
|
Ga2-27 (58) |
Ga5-6 (117) |
The calendar is, though, not primarily
structured with 60 in focus at this
point in time. Instead it is 70 (cfr
Ga5-16) - equal to 10 weeks - which is
the reference. We have seen it is the
sum of twice 35, which number is the
product of 5 and 7. I suggest 5 and 7
are the 'key numbers' for the 18 first
periods.
5 and 7 explain why there are 50 and 7
at the very beginning of the text. Zero
in 50 can be ignored by thinking of 50
as 5 'tens'. 5 and 7 are also alluded to
in Ga5-7 (cfr above).
Now to the imaginative leap and pure
speculation. The ancient Egyptians used
a Pythagorean triangle with sides 3, 4,
and 5 to create right angles, necessary
for measuring the areas of rectangular
fields. I propose that the creator of
the G text also used a Pythagorean
triangle, but another one, to measure
time.
Instead of 3 and 4 determining 5 if the
angle was right, the proper numbers for
the first half of the G text are 5 and
7. We can easily determine 8 if the
angle is right. Te Varu Kainga
is here reappearing as the hypotenuse of
a Pythagorean triangle in time.
25 + 49 = 8 * 8 (the area on a
chessboard). If I am right, then 7
should be the horizontal number, what
should be imagined as the side of the
triangle resting on the ground, while 5
should be the vertical side. And the
hypothenuse will be a straight line from
the 'birth of sun' at the beginning of
the G text (at ground level). The
hypotenuse will describe the path of the
sun steadily going higher up to its
maximum height at summer solstice.
Why is it difficult to find Te Varu
Kainga? The problem is to find which
two sides in the triangle will generate
8 as hypotenuse. The text of G begins
with delivering the solution: 57.
Furthermore, the lunar month is the unit
of measure, and 29.5 * 8 = 236, half the
text of G. The triangle is not in space,
but in time. Something dramatic happens
when sun has reached 236:
|
|
Gb1-6 (236) |
Gb1-7 |
From a maximum height sun does not
slowly begin to sink down. Instead there
is a remarkable abrupt dive down into
the 'sea'. I have been unable to find
any reasonable explanation for this
phenomenon. That is to say, until now
when imaganing the path of waxing sun
describing 8 high in the sky, when we
down on earth follow him in another time
- we measure 7 down on earth. We can go
on and use the same basic idea:
The 2nd 236, beyond midsummer, should
describe waning instead of waxing.
Instead of addition (the foundation of
'multiplication', i.e. growth) there is
subtraction. Once again we must use 8
and search for the other two sides,
though this time not adding squares, but subtracting
a smaller one
from a bigger.
The answer is quickly arrived at
(for someone experienced in squares):
10 * 10 = 100 and 6 * 6 = 36. The
difference is once again 8 * 8 = 64.
In the text of G it is expressed by
changing from the pattern twice 35
(short for 5 and 7 'twice' - i.e.
squared) into twice 30.
Twice 30 can be short both for 60
and for 1/6 of 360. Disregarding 0
it gives us 6 and 36. We already
know that 8 * 8 = 64 is the
difference between
two squares. The text of G
has here delivered 36. Why twice 30
(and not a single 60)? Because once
again squaring is involved. 30 = 5 *
6, and there should be an expression
of 6 'twice' (squared).
But there are also twice 5 in twice
30. What use have they? We should
add them: 5 + 5 = 10. They deliver
the missing square which is the
hypotenuse.
In my inner mind I try to depict
also this triangle in time. 8 is not
the hypotenuse here. 10 is the
hypotenuse, but it is not visible
(in the text of G). We could say it
is down there in the 'dark water'.
The first 236 (= 8 * 29.5) are seen
as glyphs in the text, as if the
text was following the sun on his
path upwards along 8 stations to
midsummer. The second sequence of
236 glyphs cannot follow the sun
because he abruptly went down deep
at midsummer (to Hiva). What
can be done is to follow the
'shadow' of his path on the surface
of the water.
He moves 10 stations down there, and
adding the 8 up to midsummer we
realize his step is 20. 160 + 200 =
360.
His shadow on the surface of the sea
has 8 stations, and measures 8 *
29.5 = 236 glyphs (days). In the
underworld sun will move 10 stations
in another time. We cannot expect
his 200 nights to be equal to our
236. The difference is 6 * 6 = 36.
At the beginning of his 'nighttime
journey' he is 6 measures down.
5 (at midsummer) + 6 (after
midsummer) = 11, i.e. he has at
midsummer produced an offspring
(eleven = 'one over'), the 'son' of
next year. 11 = 10 + 1 (or 6 = 5 +
1).
Our time is measured by the pace of
the moon, not by the pace of the
sun.
Sun moves from birth to his untimely
death at midsummer, rising higher
and higher like Ikaros. After having
moved 8 stations (64) he plunges
into the sea, moving like a meteor
down to rock bottom.
8 * 29.5 = 236, half the cycle of
the text in G. Down on earth we
follow him with interest. Our time
moves slower, we have 7 when sun has
8. Which means the number of months
from birth to the fall will be 7,
and indeed Manuscript E says Te
Pei is the 7th kuhane
station. Where is 8, Te Varu
Kainga? Not on earth, I would
say.
Fact is that 7 * 29.5 = 206.5, or
slightly more than 180 + 26. At
Te Pei sun is gone. His last
position is at number 26 (cfr the
26th kuhane station Hanga
Moria One, the last residence of
the king).
At 6 * 29.5 = 177 he assuredly is
still with us. We should add 3 in
order to reach 6 * 30 = 180. If we
reduce 236 with 36 there will be an
orderly 200 as number for the sun at
Te Pei. Alternatively we read
228 = 12 * 19, and 19 says that
spring sun has left - at 12 * 18 =
216. But we must take away 36 (sun
moves along the hypotenuse), and 216
- 36 = 180. The key number 5 has
already changed into 6. Ga8-24 is a
hanau (birth) type of glyph:
|
|
|
|
Ga8-24 (228) |
Ga8-25 |
Ga8-26 |
Gb1-1 |
|
|
|
|
Gb1-2 (232) |
Gb1-3 |
Gb1-4 |
Gb1-5 |
|
|
|
|
Gb1-6 (236) |
Gb1-7 |
Gb1-8 |
Gb1-9 |
Sun's pace is 20, and he has 10
stations. 200 - 50 (before the
kiore - henua section of the
calendar begins, and disregarding
black 7) = 150, the appropriate
number for half the course of sun.
If spring sun leaves at 12 * 18 =
216, then it should be at ika
hiku in Ga7-12:
32 |
|
|
|
|
Ga7-11 |
Ga7-12 (216, i.e. 180) |
Ga7-13 |
Ga7-14 |
The preceding tamaiti (child)
glyph indicates 5 has turned into '1
more'. We can alternatively use the
frame of order where 228 = 12 * 19
indicates by way of Ga6-24 the end
of spring sun:
183 |
|
43 |
|
65 |
178 |
|
Ga5-10 |
Ga6-24 |
Gb6-26 |
228 = 12 * 19 |
244 = 4 * 61 |
Counting backwards from Ga6-24 (with
ordinal number 228 counted from
Gb6-27) we will find number 216 at
Ga6-12 (with 216 reshuflled into
6-12). Also here there is a
tamaiti:
24 |
|
|
|
|
|
Ga6-12 (216) |
Ga6-13 |
Ga6-14 |
Ga6-15 |
Ga6-16 |
In the 24th period sun has produced next
year's sun. Or was it in the 32nd?
Several alternative readings complicate
matters. They should not be regarded as
contradictory but as complementary (like
sun rays and rain).