Alphabets; gematric calculator

Ovid's and Shakespeare's epitaphs

Three Augustan Poets + Shakespeare

III. The Initials

a) Interrelations

b) Relations to VESTA and the SATOR Square

c) Adding Shakespeare's Values

In the previous chapter I dealt with the full names of Vergil, Horace and Ovid and found some evidence that Shakespeare's values harmonized with theirs. Now I have a look at their initials and wonder what they have to say.

a) Interrelations

1.      The three Augustan poets stand for the sublime wisdom of the decimal system. The gematric art of divine providence can also be found in their initials which form a square of 3*3 letters. Their values can be established vertically and horizontally.

2.      Let's first look at the vertical groups which divide up in praenomen, nomen gentilicium and cognomen:

 

NS

FS

sm

FV1

FV2

sm

total

P Q P

46

24

70

25

9

34

104

V H O

42

24

66

12

9

21

87

M F N

31

25

56

31

10

41

97

 

119

73

192

68

28

96

288

96:192 = 96*(1:2); 68:119 = 17*(4:7)

3.      The three groups are comparable to three kinds of elements of a geometrical figure: points, lines, areas. The points + areas exceed the number of lines by one, e.g. the double rhombus consists of 7 points + 4 areas and of 10 lines. Similarly, the praenomina and cognomina form ratios:

 

NS

FS

sm

P Q P

46

24

70

M F N

31

25

56

sm

77

49

126

49:77 = 7*(7:11)

70:56 = 14*(5:4)

The NS+FS 126 is one tenth of the complete sum 1260, so the ratio of letters is 6*(1:9) and of values 126*(1:9). The number 126 refers to the elements of 6 double rhombi, whose meaning has been explained above.

The ratio numbers 7:11 refer to the double rhombus, too. The FS-NS ratio difference between 7 and 11 is 4. It shows how the 7 elements of a triangle are extended by 4 more elements to become a rhombus:

The 7 elements of the hexagon represent the circle area 1, the additional 4 elements the area size 2. Therefore 7:11 elements represent the area ratio 1:3. Both ratios and area sizes, 1:2 and 1:3 are identical with the common ratio factor 7.

4.      The ratio 14*(5:4) refers to 2*7 points of the two concentric circles and the elements of the zigzag diametrical line: the 5 hexagonal elements represent 1 area unit, the 4 extension elements 2 area units.

5.      The NS+FS 66 of the nomina gentilia is the sum of the numbers 1-11. The hexagram contains 6 rhombi each consisting of 11 elements. However, the inverted numbers 24 and 42 also refer to the six sides of two tetractyses. There are 6*4 = 24 points and 6*(4+3) = 42 elements. The ratio of the partial sum to the total sum is 6*(4:7).

6.      The NS 119 = 7*17 refers to the 7+1+7 elements of the frame of the double rhombus.

7.      The values of the horizontal groups are:

 

NS

FS

sm

FV1

FV2

sm

total

P V M

47

24

71

47

9

56

127

Q H F

30

19

49

10

19

29

78

sm

77

43

120

57

28

85

205

P O N

42

30

72

12

10

22

94

 

119

73

192

69

38

107

299

299 = 13*23; 120:72 = 24*(5:3)

85:120 = 5*(17:24); 30:42 = 6*(5:7)

The NS+FS of Vergil's and Horace's names prove to be complementary in relation to Ovid's. Ovid appears as the poet who combines and continues the literary work of his predecessors. The 4v-sum 94 is identical with the NS of OVIDIUS.

The FS-NS difference is 46. Half of it falls to Vergil's initials V (11), PM (12), 8+2+1 = 11 to Horace's (QHF) and 12 to Ovid's (PO). N is the only prime number. So again Vergil comprises his other two colleagues.

8.      What happens when the three lines of both squares are added up? To make things less complicated, the NS+FS and FV1+FV2 are combined:

 

SQ1

SQ2

sm

SQ1

SQ2

sm

total

L1

70

71

141

34

56

90

231

L2

66

49

115

21

29

50

165

sm

136

120

256

55

85

140

396

L3

56

72

128

41

22

63

191

total

192

192

384

96

107

203

587

136:120 = 8*(17:15); 56:72 = 8*(7:9)

140:63 = 7*(20:9)

The results enable a number of ratios. The two most striking are the combined NS+FS 256 of the first two lines doubling the sum of 128 of the third line and the ratio 165:231 = 33*(5:7), which corresponds to the FS:NS ratio of the numbers 1-21.

The digits of the prime number 587 refer to two radial ratios of the hexagram diameter:

b) Relations to VESTA and the SATOR Square

1.      The 9 quadratic positions correspond to three groups of points: 1 midpoint, 4 axial points and 4 corner points. The midpoint can be assigned to either group of 4 points. In the case of the 9 initials the midpoint and the 4 corner points form a unit of meaning:

 

 

NS

FS

sm

FV1

FV2

sm

total

HPMPN

63

42

105

13

12

25

130

VQFO

56

31

87

13

31

44

131

sm

119

73

192

26

43

69

261

56:63 = 7*(7:9); 42:63 = 21*(2:3); 261 = 9*29

The five initials have the same NS+FS 105 as the numeric model and deity of VESTA:

NV

1

2

3

4-17

18

19

20

63

FV

1

2

3

 

8

19

9

42

Bu.

A

E

 

S

T

V

105

The word VESTA is based on the first and last three numbers of 1-20. The three Augustan poets have served the true God under the system of VESTA and are honoured in this way.

2.      The single digits of the FS 42 and 31 correlate radial lines to area units of the outer (4:3) and the inner circle (2:1) of the hexagram:

The product 9*29 refers to 9 diametric elements, which are numbered from 1-5, starting from the midpoint and yielding the sum 29.

3.      The nine initials can be related to the inner square of the SATOR Square:

 

The NS+FS of the inner square is 97+83 = 180. The letters P N P are the same in both squares, their NS+FS is 43+29 = 72, identical with Ovid's initials. The difference between the NS+FS 206+166 = 372 of the outer frame (16 letters) and 180 is 192, which is identical with result of the 9 initials:

 

NS

FS

sm

FV1

FV2

sm

total

9 Init.

119

73

192

24

73

97

289

SQ 9

97

83

180

97

83

180

360

sm

216

156

372

121

156

277

649

SQ 16

206

166

372

105

85

190

562

sm

422

322

744

226

241

467

1211

192:180 = 12*(16:15) = 12*31

156:216 = 12*(13:18); 649 = 59*11; 1211 = 7*173

The digits of the product 12*31 represent the two area ratios as shown above.

There are interior relations of the two 3*3 squares: The factors of 156 = 12*13 is a partial inversion of 12*31. The ratio numbers 13:18 refer to the elements of three hexagonal axes and the three tetractys sides:

4.      The numbers 83 and 73 refer to the NS and to the FS of the numbers 1-7 (28, 27) and 1-10 (55, 46), representing the area ratio 1:3 of the hexagonal circle and the hexagram circle. Vergil's first two bocolic poems consist of 83 and 73 lines.

5.      The 4v-sum 289 = 17*17 is of special interest for two reasons: An octahedron consists of two halves, each of 17 elements. It is also the NS+FS 158+131 of two halves of the SATOR Square, if you start from the centre N, it reads:

NET OPERA SATORThe creator weaves his works.

6.      The NS 119 harbours yet another mystery which will be of decisive relevance with regard to Shakespeare's initials: The SATOR Square can be divided up into four equal parts of 9 letters along the two diagonal axes:

The triangle looks like a cup with OETA as its contents. These 4 letters with the NS 39 are repeated in the first half of the Square which, starting from the centre and proceeding meanderingly, reads NET OPERA SATOR. The NS+FS of the cup (5 letters) with contents (4 letters) are:

 

NS

FS

sm

FV1

FV2

sm

total

5 letters

80

63

143

13

13

26

169

4 letters

39

34

73

16

19

35

108

sm

119

97

216

29

32

61

277

9 init.

119

73

192

24

73

97

289

 

238

170

408

53

95

158

566

170:238 = 34*(5:7)

The FS 97, which is identical with the NS of the 9 letters of the inner square, shows in an exemplary way that the SATOR Square itself has a richly interrelated woven structure. Somehow analogically, the three Augustan poets are woven into the Square, too: There is identity between the FS 73 and the NS+FS of the 4 letters, between the FV1/2-sum 97 and the FS of the 9 cup letters. The joint FV1/2-sum 158 coincides with the NS of NET OPERA SATOR. Finally, the 4v-sum 289 of the 9 initials corresponds to the NS+FS 158+131 of NET OPERA SATOR.

7.      The "contents" 39 is part of the whole "cup" 119 but also independent. The two numbers are the FS of the numbers 1-9 and 1-17, the elements of the first two systems of coordinates.

c) Adding Shakespeare's Initials

1.      What did Divine Providence hold in store for Shakespeare when he added his own initials WS with the NS+FS 39+18? First, they fitted only to the values of Ovid's names:

 

NS

FS

sm

PON

42

30

72

WS

39

18

57

sm

81

48

129

42:39 = 3*(14:13)

30:18 = 6*(5:3)

Second, these 5 initials form an NS+FS ratio with the 6 others: 129:120 = 3*(43:40). The digits 434 exactly render the structure of the 11 elements of the rhombus. Several constellations are possible, here are two:

2.      The new values are:

 

NS

FS

sm

9 Init.

119

73

192

WS

39

18

57

 

158

91

249

If Shakespeare knew the structural and gematric aspects of the SATOR Square as excellently as it appears, he could first interpret the initials of his Roman colleagues and his own in the context of the SATOR Square and other geometric figures, and second understand the combined sums as a final completion of meaning:

158 is the NS of NET OPERA SATOR and 249 = 3*83 the FS of the whole SATOR Square.

3.      Two results can be associated with the hexagon: The product 3*83 can refer to three hexagonal axes, each consisting of 5 diametric and 6 radial elements:

The NS 39 and the NS+FS 57 can be assigned to 3*13 elements of three double triangles of the hexagon. If the points of these three geometric figures are numbered from 1-7, their added sums are 57:

4.      Shakespeare certainly knew that his NS+FS 57 is the NS of PATERFather. The difficult question is whether he could associate the NS 39 of his initials with the "contents" of the "cup" as shown above. Connected with it is another question: Given the high importance Shakespeare attributed to the letter Y, did he see this letter as a figure of the SATOR Square:

The 11 letters of the "cup with stem" read from top right, left and down (5-3-3): SATOR PERNETThe Creator weaves (his works) permanently. The 4values of the two words are:

 

NS

FS

sm

FV1

FV2

sm

total

SATOR

69

54

123

26

11

37

160

PERNET

74

67

141

39

67

106

247

 

143

121

264

65

78

143

407

65:78 = 13*(5:6); 264:143 = 11*(24:13)

247 = 13*19 = NT

The sum 37 associates with PER and NET with the same NS 37.

5.      The results are astonishing and among the hidden mysteries of the Square. The letter Y was certainly not part of the Latin alphabet when the SATOR Square was designed, but it was to be discovered later. However, the word groups PER and NET form a cross which could be read in such a way that the E was repeated so that the notion of the letter Y was not really required:

The equivalent letters of the product 13*19 are NT, the two consonants of the word NET.

6.      The two words SATOR PERNET are an anagram for PATER NOSTER. Here Shakespeare might have seen a connection between the NS 39 of his initials – the "cup contents" – and their NS+FS 57 – the NS of PATER. The NS ratio of the frame of the cup to the "contents" is 104:39 = 13*(8:3). It may be a reason why Shakespeare liked the number 83. He may feel that his life was securely held in the hand of God.

The Y-figure is contained four times in the SATOR Square, which Shakespeare may have inspired to design the four Y-words and connect with the four words YIOS THEO, YIOS YPSISTOU of the Angel's annunciation speech to the Virgin Mary.

 

 

Written: July 2014