Alphabets; gematric calculator
Ovid's
and Shakespeare's epitaphs
Three Augustan Poets + Shakespeare
I.
The Augustan Poets
III.
The Initials
IV.
MUSA
and MARIA
I. The Augustan Poets
1.
If
Shakespeare identified himself so strongly with Ovid (43 BC – 17 AD), didn't he
then neglect Vergil (70-19 BC) and Horace (65-8 BC), the other two great
Augustan poets? Before we can answer this question, the gematric values of the
three poets should be examined. Each name is tripartite, consisting of first
name (praenomen), family name (nomen gentilicium) and nickname (cognomen):
let. |
|
NS |
FS |
sm |
FV1 |
FV2 |
sm |
total |
7 |
PUBLIUS |
95 |
53 |
148 |
24 |
53 |
77 |
225 |
9 |
VERGILIUS |
116 |
78 |
194 |
33 |
18 |
51 |
245 |
6 |
MARO |
44 |
34 |
78 |
15 |
19 |
34 |
112 |
20 |
sm |
255 |
165 |
420 |
72 |
90 |
162 |
582 |
7 |
QUINTUS |
115 |
72 |
187 |
28 |
12 |
40 |
227 |
8 |
HORATIUS |
106 |
75 |
181 |
55 |
13 |
68 |
249 |
7 |
FLACCUS |
62 |
40 |
102 |
33 |
11 |
44 |
146 |
22 |
sm |
283 |
187 |
470 |
116 |
36 |
152 |
622 |
7 |
PUBLIUS |
95 |
53 |
148 |
24 |
53 |
77 |
225 |
7 |
OVIDIUS |
94 |
51 |
145 |
49 |
20 |
69 |
214 |
4 |
NASO |
46 |
31 |
77 |
25 |
31 |
56 |
133 |
18 |
sm |
235 |
135 |
370 |
98 |
104 |
202 |
572 |
60 |
TOTAL |
773 |
487 |
1260 |
286 |
230 |
516 |
1776 |
We can see that the NS+FS of all three
poets are divisible by 10. This
characterises them as experienced in the decimal system and the art of gematric
text construction. There are many more remarkable results:
2.
Vergil's names produce
the most harmonious values: The average numeric and factoral value (NV/FV) per letter is 21,
there are three ratios: 165:255 = 15*(11:17), 72:90 = 18*(4:5), 162:420 = 6*(27:70).
The NS+FS of Horace's
and Ovid's names are complementary against
Vergil's names as both sums 470+370 = 840
mean the average sum 420 of Vergil. The
number of letters are complementary, too: 22+18 is
average 20 like Vergil's letters. So the
average NV+FV
remains 21.
3.
The NS+FS of the
cognomina is 520, of the other two names 740, their ratio is 20*(26:37).
52 refers to the elements of four hexagonal
double-triangles and two double-rhombi which, put in a cross
of rectangular axes, can be shaped to an octahedron.
The ratio 26:37
represents the elements of three successive levels of the tetractys:
|
4.
The
total NS 773 and FS
487 are prime numbers. 773 refers to 7 hexagonal and 7+3 tetractys points:
|
This concentric aspects of
points represents the area ratio 1:3 of the two concentric circles
of the hexagram which is of fundamental trinitarian relevance.
487 is relatable to the double
rhombus, which consists of 4
triangular areas, 8 lines of the frame and 7 points. The 2
cross lines dividing the triangles are not included.
5.
The NS+FS 1260 = 6*21*10 has to be associated with the elements of 6 double rhombi two of which
can be fitted to form an octahedron.
The difference between the FS 487 and the NS 773
is 286 = 2*11*13. The number 13 refers to the elements of a hexagonal double
triangle, out of which develop two rhombi consisting of 11 elements as the hexagon is extended to the figure of
hexagram:
|
The difference 286 is repeated as FV1-sum
so that two double rhombi can be converted into an octahedron.
6.
The FV1/2-sum 516
contains in its product 12*43 the digits 1 to 4 the sum
of which is 10 and so is a manifestation of
the decimal system.
The two FV1/2-
sums 286 and 230
can be added to their referential sums 733 and 487, from which result 1059
= 3*353 and 717 = 3*239. The two sums can be related mainly to the
diametrical zizag line of the double rhombus, both serving to represent the
trinitarian ratio 1:3 of the
two concentric circles. The numbers 3 and 5 are radial elements of the hexagonal circle and
the outer circle:
|
|
The midpoint
of the left figure has to be counted twice. The right figure shows the same area
ratio represented by the diametrical elements 5:(5+2+2).
The factor 3 of both products give evidence of three double
rhombi within the hexagram.
7.
The
total result 1776 = 48*37 = 2*8*111
has to be explained from the general mathematical rule of 6 inversions of 3-digit
numbers. The three single digits must have the sum 8. Two
3-digit numbers come into question: 134 and 125. The first has to be given priority as it refers
to the points of two rhombi. Again the midpoint has to be counted twice:
|
The 6 inversions and their FV are:
NV |
134 |
143 |
314 |
341 |
413 |
431 |
1776 |
FW |
69 |
24 |
159 |
42 |
66 |
431 |
791 |
sm |
203 |
167 |
473 |
383 |
479 |
862 |
2567 |
791 = 7*113 = FV 120 |
|||||||
2567 = 151*17 = FV 168 = 12*14 |
The factor 113
is a contraction of the two numbers 11 and 13. The prime number 151 renders the structure of points
of the double rhombus. 17 is the number of
elements of a fishlike figure of the double rhombus
and the tetractys. The product 12*14
represents 26 elements of the octahedron.
The NS/FS-computation of the 6
inversions provides the following results:
|
NS |
FS |
sm |
FV |
sm |
FV |
|
1776 |
791 |
2567 |
168 |
|
|
FV |
48 |
120 |
168 |
16 |
|
|
sm |
|
|
2735 |
184 |
2919 |
149 |
FV |
|
|
552 |
29 |
581 |
90 |
|
|
|
|
|
|
239 |
48:120 = 24*(2:5)
= 168; 2735 = 5*547 |
The number 168
occurs a second time. 552 = 23*24 represents two numbered models
of the double rhombus and is the NS+FS of the SATOR
Square. The numbers 581 and 239 both refer to 5+9
diametrical elements of the two concentric circles of the hexagram standing for
the area ratio 1:3.
8.
The FV of the 4v-sums
are:
|
|
|
|
|
sm |
FV |
sm |
4vs |
773 |
487 |
286 |
230 |
1776 |
48 |
|
FV |
773 |
487 |
26 |
30 |
1316 |
58 |
|
sm |
3092 = 4*773 |
3092 |
106 |
|
|||
FV |
|
|
|
|
777 |
55 |
832 |
1316 = 28*47 |
1316 refers to the frame of a cross of double
rhombi, consisting of 13
points and 16 lines. The product 28*47 represents the 21
elements of the double rhombus: 2+8 lines, 4 triangular areas and 7
points:
|
The 4 FV-sums
1316 + 3value-sums
1003 (59*17) = 2319 amount to three times the
initial NS 773,
which in this way confirms its meaning of 1:3 ratio. The FV
777 points to the 7 elements of each tetractys side.
9.
The
three poets were convinced of divine powers ruling the world and the fates of men.
They attributed their poetic achievements and their insights into the mysteries
of the numeric system to divine inspiration and guidance. So their names were
rightly deemed worth being honoured by the Eternal Spirit and such sublime
values as the human mind would never be able to design on its own.
1.
If we
consider Shakespeare's knowledge of the gematric system and the meaning of
numbers, we should not impose him any limitations. As to myself, I take two contrasting
attitudes: On the one hand I consider my gematric knowledge as limited, but do
my best to understand Shakespeare's thoughts and designs, on the other hand I
put no limits to his religious aspirations and beliefs because it's the most
sublime ideals that spur the individual on to accomplish the highest
intellectual achievements.
2.
Only
if Shakespeare was convinced that he was a chosen instrument to continue the
high ideals of humanity which imbued the greatest Roman poets, could he dare to
compare himself to them.
So let's suppose first that Shakespeare understood
the gematric implications in about the way I proposed above, and then added his
own values:
lett. |
|
NS |
FS |
sm |
FV1 |
FV2 |
sm |
tot. |
60 |
V H O |
733 |
487 |
1260 |
286 |
230 |
516 |
1776 |
7 |
WILLIAM |
74 |
52 |
126 |
39 |
17 |
56 |
182 |
11 |
SHAKESPEARE |
103 |
71 |
174 |
103 |
71 |
174 |
348 |
18 |
sm |
177 |
123 |
300 |
142 |
88 |
230 |
530 |
78 |
total |
950 |
610 |
1560 |
428 |
318 |
746 |
2306 |
1560 = 10*12*13 = 20*78 |
Shakespeare could see that,
by adding his values, the NS 950 and FS 610 were divisible by 10,
which completed what was realised before only with the round NS+FS results of
the three name groups.
3. The most striking result is that the NS+FS 1560 is divisible by 78, the number of letters of the now 11 names. Therefore the average NV+FV is 20, which relates to the points of two
tetractyses.
78 = 3*26
refers to three octahedra which each consist of 26
elements.
4. The NS+FS 126
of WILLIAM as one tenth of 1260 contains as it were the
essence of the three Augustan poets.
5.
The FV1/2 sum 746 =
2*373 stands for two hexagrams consisting of
7 hexagonal points and twice 3 points for two tetractyses:
|
6.
The NS/FS-computation
of the 4values reveals a similar pattern as
with the Augustan poets:
|
|
|
|
|
sm |
FV |
sm |
|
4vs |
950 |
610 |
428 |
318 |
2306 |
1155 |
|
|
FV |
31 |
68 |
111 |
58 |
268 |
71 |
|
|
sm |
981 |
678 |
539 |
376 |
2574 |
1226 |
|
|
FV |
|
|
|
|
32 |
633 |
665 |
|
2574 = 18*11*13
= 18*143 = 78*33 |
||||||||
1226 = 2*631; 665 = 5*7*19 |
||||||||
The total sum 2574 is divisible by 78
like the NS+FS
1560. The ratio of the
difference 1014:1560
is 78*(13:20). The two ratio numbers refer to 13 points of the hexagram and 20 points of two tetractyses.
The product numbers 11*13 = 143 resume the theme struck by the the 6 inversions
of 134 and the number 286
= 2*11*13.
The prime number 631 renders the structure of tetractys points: 6+3 points of the frame and the midpoint.
7.
In
adding his gematric values, Shakespeare's found one aspect to confirm and
encourage his special love for the Virgin Mary: The ratio of the NS+FS 1260 of the three poets to his own 300 is 60*(21:5).
It's about a play of letters I've dealt with elsewhere
already: The equivalent letter for 21 is X but as its shape suggests, it can be
represented by the first and last letters AV. The pre-Christian gematric system is laid
down and concentrated in the term and deity VESTA. According to medieval theology the Virgin
Mary was often called the second EVA
who reversed the Fall of Man by responsing
positively to the Angel's greeting AVE which
is the Latin equivalent for what the angel really said. Thus the letters VA
in both EVA and VESTA are
exchanged for AVE. In this way Shakespeare can feel himself on the
one hand as heir to the three poets' human ideals and on the other hand as
connecting them, so to speak, to Christian salvation.
1.
Considering
Shakespeare's deep devotion to the Holy Virgin Mary, we can regard her as the
female equivalent of the Muses whom the ancient poets would invoke for
inspiration. Of course, the Blessed Virgin is not specialised on patronage for
poets and other performers of arts but the universal patroness for all of God's
children. Shakespeare's worldview is necessarily different from the Augustan
poets' and so is his trust in heavenly protection. The two names MUSA and MARIA
harmonize gematrically in several respects:
|
NS |
FS |
sm |
FV1 |
FV2 |
sm |
sm |
MUSA |
51 |
25 |
76 |
20 |
10 |
30 |
106 |
MARIA |
40 |
32 |
72 |
11 |
10 |
21 |
93 |
|
91 |
57 |
148 |
31 |
20 |
51 |
199 |
76:72 = 4*(19:18) = 4*37 = 148 |
The FV1/2-sum 51 is identical with the NS
51 of MUSA. Even the partial sums are
NS compositions of its four letters: 30+21 corresponds to MS+UA
and 31+20 to MSA+U.
Furthermore, 20+31 are NS-compositions
of PENSATOR, the 8
different letters of the SATOR Square:
P |
E |
N |
S |
A |
T |
O |
R |
15 |
5 |
13 |
18 |
1 |
19 |
14 |
17 |
20 |
31 |
20 |
31 |
So MARIA
leads the notion and ideal of MUSA to its
completion.
The neigbouring numbers 19 and 18 refer
to the elements of the tetractys: 10 points
+ 9 triangles and 18
lines.
The single digits represent
of 148 the geometrical figure of square: 1 quadratic area, 4
lines, and 4*2 points to define each side of
the square.
148 is the NS of the
inner SATOR-Square if each side is counted
separately:
|
The principle is that two sums are inserted into
each other: the NS 64 of the corner letters
plus the complete sum 84. The model for the two
numbers is a coordinate system of two double rhombi one of which is numbered
from 1-23 and the second from 1-24. If the two double rhombi are shaped into an
octahedron, the 4 crosslines form its common basis consisting of 4 points and 4
lines:
The numbers of the
crosslines count 84, their FV 64.
An octahedron consists of 26
elements, excluding the volume. If it is divided into two halves (= two pyramids),
each consists
of 17 elements, 8 elements of the basis and 9 elements of the pyramidal body (1 apex, 4 edges, 4 triangles).
The two aspects of the whole
octahedron and its two halves is reflected in the
difference between the FS and the NS of the two names:
|
FS |
diff. |
NS |
MUSA |
25 |
+26 |
51 |
MARIA |
32 |
+8 |
40 |
|
57 |
34 |
91 |
Together, MUSA
and MARIA embody one central aspect of the
decimal system.
2.
The NS+FS 148 of the two names can be divided into 84+64 if they are placed on the points and lines
of a coordinate system:
|
In the graphic the left and lower axial arms (4
green letters) are shifted against the other two (blue letters) until they form
a square. The tow groups of letters have the following values:
|
NS |
FS |
sm |
FV1 |
FV2 |
sm |
sm |
MURA |
50 |
34 |
84 |
12 |
19 |
31 |
115 |
AISAM |
41 |
23 |
64 |
41 |
23 |
64 |
128 |
|
91 |
57 |
148 |
53 |
42 |
95 |
243 |
243 = 35 |
If the FV1/2
are combined with their corresponing sums, the results are divisible by 9:
|
NS |
FV1 |
sm |
FS |
FV2 |
sm |
sm |
MURA |
50 |
12 |
62 |
34 |
19 |
53 |
115 |
AISAM |
41 |
41 |
82 |
23 |
23 |
46 |
128 |
|
91 |
53 |
144 |
57 |
42 |
99 |
243 |
99:144 = 9*( |
The two groups of letters contain the anagram URAM ASIAM – I will
enflame Asia. The meaning might be this: MARIA
in union with MUSA embodies the meditarranean
cultures of Antiquity, and in a time still to come the Virgin Mary will
powerfully help the peoples of Asian cultures to adopt the gospel of her Son.
3.
The
two names consist of 6 different letters, each
having 2 in common and 2 separately:
|
US |
RI |
sm |
MA |
tot. |
NS |
38 |
26 |
64 |
13 |
77 |
77:91
= 7*( |
77 is one third of 231,
the sum of the numbers 1-21 identical with
the 21 letters of the Latin alphabet. 91 is the NS of the
numbers 1-13.
64 is the FS of
the numbers 1-12 which is extended by the
prime number 13 to 77.
The equivalent letters for 12+1 are MA! The combination of twice
1 and once
2 refers to the area ratio 1:3 of the two concentric circles of
the hexagram:
|
The ratio 1:3 reflects
the unity of three trinitarian persons, in accordance with the teachings of
Jesus Christ.
So we may understand another anagram: URSI MA – I have urged
the trinitarian God (to send the redeemer). The first-person statement
can be related especially to the Virgin Mary, but also to the yearning prayers
of all pre-Christian peoples.
The NS of the 5 shared (MA, MAA)
and 4 separate letters (US, RI) is 27+64 = 91
= 3³+4³. 27
is the FS of the numbers 1-7, 64 of the numbers
1-12. 7 in
turn is the FV of 12
= 3*4.
4.
The
Blessed Virgin cannot be thought without her son IESUS
CHRISTUS. The 4values of the two + two names are:
|
NS |
FS |
sm |
FV1 |
FV2 |
sm |
sm |
MUSA MARIA |
91 |
57 |
148 |
31 |
20 |
51 |
199 |
IESUS CHRISTUS |
182 |
112 |
294 |
29 |
33 |
62 |
356 |
|
273 |
169 |
442 |
60 |
53 |
113 |
555 |
169:273 = 13*( |
The two female and two male names have the NS-ratio 91*(1:2). Another striking ratio appears if the FV1/2 sums are added to their corresponding NS:
273 |
60 |
333 |
169 |
53 |
222 |
555 |
222:333 = 111*(2:3) |
5.
As
has been shown above, the 4v-sum 1776 of the three Augustan poets is divisible by 37. So the two results may be combined:
773 |
487 |
1260 |
286 |
230 |
516 |
1776 |
273 |
169 |
442 |
60 |
53 |
113 |
555 |
1046 |
656 |
1702 |
346 |
283 |
629 |
2331 |
1776:555 = 111*(16:5) |
||||||
629:1702 = 37*( |
It rarely occurs that the NS+FS and their FV-sums form a ratio, here of the main factor 37.
6.
As
has become evident above, the addition of Shakespeare's 4values have led to the NS+FS 1560, divisible
by 13, which is also the case with the four
names. So another addition can be made:
3 po. |
773 |
487 |
1260 |
286 |
230 |
516 |
1776 |
Sh. |
177 |
123 |
300 |
142 |
88 |
230 |
530 |
sm |
950 |
610 |
1560 |
428 |
318 |
746 |
2306 |
4 n. |
273 |
169 |
442 |
60 |
53 |
113 |
555 |
total |
1223 |
779 |
2002 |
488 |
371 |
859 |
2861 |
1560:442 = 26*(60:17) |
|||||||
2002 = 2*7*11*13 > FV 33 |
The total sum 2861
is prime. The single digits may be referred to the double rhombus with 2+8 lines and 1+6
points. The same applies to the NS+FS 2002 to be
read as twice 10 elements + 1 midpoint. The digits of the NS 1223 represent 1+2 area units of the concentric circles
and – in reverse order – 2+3 radial
elements. If the FV-sums are assigned to their corresponding sums, their FV
produce the following results:
1223 |
488 |
2002 |
779 |
371 |
859 |
2861 |
1223 |
67 |
1290 |
60 |
60 |
120 |
1410 |
1290:120 = 30*(43+4) = 30*47 |
Written: June/July 2014