Alphabets; gematric calculator

Ovid's and Shakespeare's Epitaphs

ALLITERATIONS in Shakespeare's Epitaph

I. 4+1 word groups

II. 11 INITIALS

III. 569, YIOS and ILLI

I. 4+1 word groups

1. The alliterations in Shakespeare's epitaph are another miracle of his mathematic magic. There are 5 groups of alliterating words, one group consisting of 3, the others of 2 words:

GOOD FREND FOR IESVS SAKE FORBEARE

TO DIGG THE DVST ENCLOASED HEARE.

BLESTE BE YE MAN YT SPARES THES STONES

AND CVRST BE HE YT MOVES MY BONES.

Shakespeare has two geometric models in mind: The first is the hexagram with its 5 diametric elements of the hexagon and its extension to 2+2 further elements:

The 5 diametric elements can be subdivided into 3+2 elements. This first model comprises the first three lines.

The second model is the hexagonal axis. As each of the two radial lines is delimited by two points, 6 radial elements can be counted and have to be added to 5 diametric elements. The number 3 this time refers to 3 midpoints:

Alternatively, this double aspect can be represented by a cross of axes with three midpoints:

The second model comprises all four lines.

2. The 4values of the 9 alliterating words in the first three lines are:

		NS	FV	sm	FS	FV	sm	tot
1	FREND	45	11	56	44	15	59	115
	FOR	37	37	74	31	31	62	136
	FORBEARE	67	67	134	61	61	122	256
2	DIGG	27	9	36	24	9	33	69
	DVST	61	61	122	40	11	51	173
3	BLESTE	60	12	72	50	12	62	134
	BE	7	7	14	7	7	14	28
4	SPARES	74	39	113	47	47	94	207
	STONES	87	32	119	62	33	95	214
		465	275	740	366	226	592	1332
740:592 = 37*(16:20)=37*36 = 4*37*(5:4) = 148*9

The FV are added to their corresponding sums. This is a variation of the usual combination of NS+FS and FV1+FV2.

There are two interior partial ratios: The NS of the two outer word groups is double as high as the inner wordgroups: 310+155 = 5*31*(2:1). The third and fourth wordgroups together form a ratio of their two combinations (NS+FS):(FV1+FV2): 318:265 = 53*(6:5).

The total sum 1332 = 12*111 can be understood as the sum of the six inversions of 123, which is the FS 52+71 of WILLIAM SHAKESPEARE.

3. The 4values of all 5 wordgroups are:

		NS	FV	sm	FS	FV	sm	tot
1.	FREND	45	11	56	44	15	59	115
	FOR	37	37	74	31	31	62	136
16	FORBEARE	67	67	134	61	61	122	256
2.	DIGG	27	9	36	24	9	33	69
8	DVST	61	61	122	40	11	51	173
3.	BLESTE	60	12	72	50	12	62	134
8	BE	7	7	14	7	7	14	28
4.	SPARES	74	39	113	47	47	94	207
12	STONES	87	32	119	62	33	95	214
5.	MOVES	69	26	92	38	21	59	154
7	MY	35	12	47	30	10	40	87
51		569	313	882	434	257	691	1573
1573 = 11*13*11 > 35
434 = 14*31

The factors 11*13*11 represent the elements of three figures within the hexagon, symbolizing the three Divine Persons:

The right figure can be regarded as the First Person, the left as the Second Person, the image likeness of the Father, and the middle figure as the Holy Spirit.

The FV 35 is identical with the NS of MY which is to be understood as the initials of MARIAE YIOS, Mary's Son. One meaning of the common factor 53 in the table – and inversion of 35 – is the NS of the word MARY.

We can also observe the trinitarian principle in the FV1-sum 313 and the FS 434 = 14*31.

4. The sums of letters of the first 4 groups are each divisible by 4. The symmetrical centre of the total sum of 51 letters follows after letter 24 of the first two alliteration groups. The 4value-sum of the first two groups is 749. The 25^th and 26^th letters as the constituent numbers for number 51 could aptly be the word BE, which follows after BLESTE. The 4v-sum 28 of BE added to 749 = 777, however, enables another ratio of the first four alliteration groups: 777:555 = 3*37*(5:7).

The central word BE and the exchange of BLESTE BE to BE BLESTE can be differently interpreted:

– The numbers 5 and 7 can be related to the double rhombus: 5 points of the double triangle belong to the hexagonal circle, the other 2 points to the outer ring of the second circle. As the surface (F) ratio of the hexagonal circle to the outer circle is 1:3, the 5 and 7 points represent this trinitarian ratio:

The same surface ratio 1:3 is also represented by 3:5 radial elements of the diametrical zig-zag line. This is the main reason for the high significance of the number 35 and its inversion 53. Double the sum is the NS and NS+FS of IESUS (70, 106).

The NS of MY is 35, and if we may associate it with Mary and MarY's son, Shakespeare achieved this particular gematric construction in praise and veneration for the Virgin Mary and her son Jesus.

– If the the two words are exchanged to BE BLESTE, the text cannot be syntactically continued. They rather complete the addressing first two words: GOOD FREND, BE BLESTE. If we combine the four words crosswise, their 4values form a ratio with 13 as the common factor:

	NS	FS	sm	FV1	FV2	sm	tot
FREND	45	44	89	11	15	26	115
BE	7	7	14	7	7	14	28
	52	51	103	18	22	40	143
GOOD	39	29	68	16	29	45	113
BLESTE	60	50	110	12	12	24	134
	99	79	178	28	41	69	247
143:247 = 13*(11:19) = 390

The result 390 is ten times the NS 39 of GOOD. One might read the 4 words as FREND, BE GOOD [and] BLESTE.

The word BE (in the original order) concludes the first half of the epitaph's 28 words. So by exchanging the two alliteratin words, Shakespeare has found a means to come to a premature end and to avoid the frightening curse. He corroborates this intention by another miraculous gematric construction: The combination NS+FS and FV1+FV2 form a ratio by 31:

NS	FS	sm	FV1	FV2	sm	tot
622	494	1116	326	294	620	1736
1116:620 = 31*(36:20) = 124*(9:5)

The 4values of the epitaph words can be looked up under addendum2.

The ratio numbers 9:5 refer again to the zigzag-line of the hexagram: 9:5 diametrical elements represent the surface ratio 3:1 of the two concentric circles.

The FV of the common factor 124 = 4*31 is 35, which, as has been shown, represents the area ratio 1:3.

– BE as the sixth alliteration word is, after its exchange for BLESTE, the symmetrical centre of the 11 words. It reminds of Hamlet's famous soliloquy

"To be or not to be, that is the question/the point".

As a single word, BE now appears like an answer to this question, a call upon the GOOD FREND TO BE, i.e., "to bear the whips and scorns of time" in order to be received by the "everlasting Judge" into the realm where "the happy smile".

The gematric numbers for the two letters BE are 2+5. The square number 25 = 5*5 with its FV 10 represents the eternal laws of being. It can again be referred to the 2+5 points of the double rhombus and the 5+5 radial elements of the hexagram. The correspondent area units are 2+1 and 3+3. It is connected to the number 35 by FV 10 + NV 25 = 35 = 5*(2:5). Especially the SATOR square with its 25 letters is a model of the decimal system:

5. The total 4value-sum 1573 is composed of single sums which are divisible by 13 or 11:

group	1	2	3	4	5a	5b
4v-sm	507		162	421		87
		242	583		154
*11		22	53		14		89
507 = 39*13; 507+87 = 594 = 54*11
11*(54+89) = 11*143 = 11*13*11

The first word GOOD with the NS 39 is the motto for the first alliteration group. The product 3*13 is represented in its single digits by the 7 points of the double rhombus:

II. 11 INITIALS

1. The 11 alliteration words correspond to 11 letters of SHAKESPEARE. The 4values of the initials show this intention:

	NS	FV	sm	FS	FV	sm	tot
FFFDDBBSSMM	90	13	103	57	22	79	182

103 is the NS of SHAKESPEARE, 182 the 4values of WILLIAM, the NS of SATOR OPERA TENET and IESUS CHRISTUS, and the NS+FS of PENSATOR.

The NS 1242 of the whole epitaph is divisible by 18 like 90 so that there is the ratio 18*(5:64).

2. The 11 letters and their values are adjusted to WILLIAM's. The combined results produce numerous ratios:

	NS	FS	sm	FV1	FV2	sm	tot
FFFDDBBSSMM	90	57	147	13	22	35	182
WILLIAM	74	52	126	39	17	56	182
	164	109	273	52	39	91	364
147:126 = 21*(7:6); 13:39 = 13*(1:3); 35:56 = 7*(5:8)
52:39 = 13*(4:3); 91:273= 7*13*(1:3)

Shakespeare's main theme is the trinitarian ratio 1:3. The letter Y with its NV 22 and FV 13 refers to the correspondence of 2:3 radial elements to 2:1 area units (F). The NS+FS of Shakespeare's epitaph is 2213!

The surface ratio 1:3 is also represented by 7 hexagonal points and 13 points of the hexagram. The same ratio is suggested by the number 273 = 21*13 with reference to the 21 elements of the double rhombus, of which 13 elements belong to the hexagonal part:

3. Shakespeare's special interest in 39 has to do with his initials WS:

	W	S	sm	FV	tot
NV	21	18	39	16	55
FV	10	8	18	8	26
	31	26	57	24	81
18:39 = 3*(6:13)

The internal difference between the ratio factors 6 and 13 is 7. There are three double-triangles in the hexagon each consisting of 6 lines and 5 points + 2 areas:

It is worth mentioning that the elements of both patterns of double-triangles (39+35) amount to the NS 74 of WILLIAM.

If the 7 points of the hexagon are numbered from 1-7, the numeration sum of the three double-triangles of the 39 pattern is 57 (of the 35 pattern it is 50) which is the NS+FS of WS and the 11 initials:

The sums are 19 (blue), 21 (middle), 17 (green).

III. 569, YIOS and ILLI

1. The NS 569 of the 11 alliteration words is a prime number. Read as (5+6)+9, it represents two coordinate systems, one axis consisting of 5 elements. To compensate for one midpoint only, which amounts to 9 elements, the second axis has to be given two midpoints so that the total is 4*5 = 20 elements:

2. The NS+FS of YIOS is 63+36 = 99 = 9*11. The same applies to the accusative YION (58+41), the son whom the Virgin Mary should conceive according to the Angel's message. Twice YIOS and once YION make the NS+FS 297 = 27*11 = FV 9+11.

3. The equivalent letters for 9+11 is IL which play an important role in the name of WILLIAM:

	L	I	sm	FV	tot
NV	11	9	20	9	29
FV	11	6	17	17	34
	22	15	37	26	63

There is first the curious fact that the NS+FS of ILLI is identical with the NS 74 of WILLIAM and the NS+FS of W-AM identical with the FS 52. The numbers 20+17 = 37 points to a square with four axes with again 5 elements for each. If only one midpoint is counted the 20 elements are reduced to 17:

If the FV 9+17 = 26 are added, a new peculiarity appears: The 4values of ILLI are identical with the NS+FS 126 of WILLIAM. IL alone refers to three double-rhombi which each consist of 21 elements. If two are arranged as a coordinate system, an octahedron can be formed one half of which consists of 17 elements and the second half of 9 remaining elements. If each double rhombus is combined with each, 6 of them are needed for three octahedra.

One tetractys is built up in three levels whose elements amount to 7+19+37 = 63:

4. Shakespeare, of course, new the meaning of Latin ILLI: to/for that (person). It might be humorously referred to the following name SHAKESPEARE if the palindromic values are put together as 3-digit numbers: 119+911 = 1030. 103 is the NS of SHAKESPEARE.

5. It should be logic that the values of 9+11 alliteration words be added up. Noone knows how Shakespeare could plan such result so far in advance. I confine myself to the 4v-sum:

			sm	FW	sm	FW
4vs	1332	1573	2905	95
FW	47	35	82	43
sm			2987	138	3125	20
FW			132	28	160	15
2905 = 5*7*83						35
2987 = 29 *103

The 4v-sum 2905 contains like the 4v-sum 3320 of the whole epitaph the factor 83. 103 is the NS of SHAKESPEARE and the NS+FS is 6*29 = 174.