*The enigmatic works of Plato have both confounded and inspired scholars through the ages, was there indeed such an island as the fabled Atlantis, were his works corrupt discourses? Otherwise, did they secrete a bounteous hoard of ancient {even in Plato’s time} knowledge waiting decoding? The ensuing data may cast some light on the subject thereby allowing the reader to embrace or discard the hypothesis I invite the reader to peruse the enterprise and, as is fit and proper, form their own educated opinion. I appeal for the reader to examine that, which is to be disclosed with an unbiased, unfettered mind-set, free from childhood indoctrination of installed unqualified paradigms Via prudent analysis with reference to the dialogues of Plato {Timaeus 33-37… 43-45}, there will be established a series of numbers with regard to the World Soul, as fashioned via the Creators hand {pertaining to the judgment of Plato at least} This series of numbers, in my opinion, ought to contain 36 terms; by the same token I designate the series of numbers as PWS { Plato’s World Series} Following the creation of PWS, there being a residual fraction, the fraction being the ratio 256:243, acknowledged as the musical scale, the Pythagorean Limma, I denote this 256:243 as the FP {Fraction of Plato} seeing as it is within Timaeus of Plato, an additional, oft times overlooked, ancient fraction being the Comma of Pythagoras {531441:524288} that I denote as Comma*

*Please deliberate upon the consequence of the following hypothesis:*

*The dialogues of Plato contain a veritable Pandora’s Box of ancient knowledge brimful with encoded clues, as to the factual accuracy we deal specifically with the dialogue within Timaeus, this has long been a thorn in the side of Platonic experts, particularly the section connected with the arrangement of the ostensible World Soul, {Timaeus 33-37…43-45} John Michell, the esteemed author of the thought provoking: “The Dimensions of Paradise” attributes 35 terms with an aggregate of 108551; Proclus produced 34 terms with an aggregate of 105947*

*As far as I am aware no categorical list has been forthcoming, various authors/researchers adding their own preferred numbers otherwise removing other authors/researchers terms to shape their own favoured list. We need to bear in mind that Plato cherished the proverbial red herring, the essential obligation, I believe is not to interpret his words ad verbatim, but perceive the passages as they are, plain and simple instruction Not for one instant do I berate or question the illustrious experts in this field, nonetheless please view the following hypothesis, furthermore mull over my findings from a basic perspective. As illustrated prior, I denote Plato’s series as PWS { Plato’s World Series}*

*Dialogues of Plato: Timaeus 31-35…43-45*

*Plato maintains that the Creator obtained the three elements of the same, the other, and the essence, and mingled them into one form. Mayhap the reader may well discern the manner by means of which Plato’s works have mystified numerous for ages once the subsequent is perused Via straightforward vocabulary PWS as revealed in Plato’s Timaeus {33-37... 43-45} being created via the ensuing manoeuvre, commencing with a whole part, there being no indication as to what the whole part should precisely correspond to, however prudent analysis prises the door opening, maintain in mind simply pure number and naught else given that the “Whole” via which PWS being formed, being: 46656 as indicated below obviously 46656 is the amount of cubic inches in one cubic yard, therefore it is a rational number, nevertheless the issue is subsequently raised: did the folk of Plato’s era employ inches as we recognize them?*

*The “Whole” that Plato alludes to within Timaeus, I calculated to be 46656, concerning the Greek Lambda, the letter l, forming the pattern*

** 1**

** 2 3 **

** 4 9**

**8 27**

*Furthermore the numbers; 1 x 2 x 3 x 4 x 9 x 8 x 27 = 46656, the “Whole”*

*Similarly: 1 + 2 + 3 + 4 + 9 + 8 + 27 = 54, in addition 54 x 864 = 46656*

*Hence in multiples of 864 IE: 1 x 864 = 864…2 x 864 = 1728 etc*

**1 **= 864

**2** = 1728

**3** = 2592

**4** = 3456

**9** = 7776

**8** = 6912

**27 **= 23328

*The 23328 x 2 = 46656 , the 23328 is: 864 + 1728 + 2592 + 3456 + 7776 + 6912 The 23328 minus 12960 = 10368, this, as will be evidenced is the final PWS member, the 864, 1728, 2592, 3456, 7776, 6912 are likewise PWS members as will soon be evidenced*

*………………………………………………………………..*

*The 864, 1728, 2592, 3456, 7776, 6912, 23328 comply with the following rules*

*{A} He took one part from the whole part = 1 {clearly we commence with 1}*

*{B} Then a second part, double the first part = 2 {clearly double the first part: 1 is 2}*

*{C} Then a third part, half as much as the second part and three times the first part = 3 {again clearly 3}*

*{D} Then he took a fourth part, twice as much as the second part = 4 { 2 x 2 = 4}*

*{E} Then a fifth part, three times the third part = 9 { 3 x 3 = 9}*

*{F} Then a sixth part, which was eight times the first part = 8 {8 x 1 = 8}*

*{G}Then a seventh part, twenty-seven times the first part = 27 { 27 x 1 = 27}*

*Plato continues by itemising further divisions, the double and triple intervals filled by two kinds of means, one kind E.G: 1 {one} and 4:3 in addition to 2 where the mean of 4:3 is one-third of 1 more than 1 and one-third of 2 less than 2. The other being the kind of mean which exceeds and is exceeded by an equal number, does the reader currently perceive why the list be so thorny to procure, Plato’s ambiguous terminology does not assist to a great extent, anyhow we continue the search He subsequently fills the intervals of 3:2, 4:3, and 9:8, so on and so forth, leaving a fraction over expressed in the ratio 256:243, this ratio, as mentioned earlier recognized within the musical sphere as the Pythagorean Limma Is it any surprise, people develop disconcert, nonetheless the resolution is literally staring the reader in the face*

*Additional major factors of Plato are converted into*

*{A} 3 ÷ 2 = 1.5*

*{B} 4 ÷ 3 = 1.333*

*{C} 9 ÷ 8 = 1.125*

*The 1.125 ÷ FP ÷ FP = 1.0136432647705078125 exactly, which is the Comma of Pythagoras: {531441:524288}*

*There is a need to identify the exact “portions” that Plato alludes to, I deduced the actual portions to be as follows, commencing with, as indicated prior:*

*{A} He took one part from the whole part. = 1 {clearly we commence with 1}*

*I determined the first portion to be 3 , one reason is that: the Whole: 46656 is 3 x 15552, that is the end PWS term: 10368 x 1.5 obviously: 3 ÷ 2, there are additional reasons, nonetheless far too convoluted to elucidate fully herein*

*Portions: {A} = 3 {B} = 6 {C} = 9 {D} = 12 {E} = 27 {F} = 24 {G} = 81*

*Likewise: 3 x 6 x 9 x 12 x 27 x 24 x 81 = 102036672 this divided by the Whole: 46656 = 2187 this happens to be the 17th PWS member, on the other hand Gematria Value: Mary: 192 x 531441 = 102036672, obviously the 531441 is a “Comma” component {531441:524288} the 192 x 2 = 384, the 1st PWS member. Otherwise 102036672 divided by the 36th and very last PWS member, namely: 10368 = 9841.5, this is exactly: 4.5 x 2187*

*Whilst the first portion is, as I present indeed 3, subsequently via following Plato’s ruling to the letter the portions are straightforwardly deduced, for instance the first portion being 3, moreover Plato’s instructions being that the second portion is double the first part. Consequently, 3 x 2 = 6, this is the second portion. Moreover 3 + 6 + 9 + 12 + 27 + 24 + 81 = 162, the 162 divided by the 1.125 = 128, quite obviously half of 256 {the FP combo: 256:243}*

*Similarly, the Whole 46656 ÷ 1.5 ÷ 1. 333 ÷ 1.125 = 20736 this being: 2 x 10368, the 10368 will be the termination PWS member, the 20736 ÷ 2, seeing as we have attained 128, which as stated is half of 256 an FP component Equally the 9841.5 this being 1.5 x 6561, the 6561 being 1.333 x 4920.75 this being: 1.125 x 4374, the 4920.75 x FP = 5184, the 6561, 4374, 5184 in addition to the above 2187 obviously PWS terms to be, therefore currently the PWS comprises of: 2187, 4374. 5184, 6561, 10368, at this time we seek out the additional members to create 36 in all*

**……………………………..**

*In the interim, a dissimilar era, diverse culture, the Chinese: I-Ching {Book of Changes} indicates the Pattern of the Field {The Well} as:*

**146**

**297**

**358**

*Employing the three rows as a whole number: 146297358 to locate the Plato-Timaeus: “Whole”: 46656 moreover the “missing” number 10 of 10987654321*

**9 8 7 6 5 4 3 2 1** minus **1 4 6 2 9 7 3 5 8** = 8 4 1 3 5 6 9 6 3 {nigh on “**Pi”** digits within, albeit rearranged} *Afterwards: 8 x 4 x 1 x 3 x 5 x 6 x 9 x 6 x 3 = 466560 which is, obviously, 10 x 46656*

*Given that the Plato “Whole” is 46656, it surely must interconnect to the PWS, we will employ the Pythagorean Limma {256:243} and Rhind Papyrus fraction {256:81} number 256 as well as multiplies of 256. *

*We will obtain PWS members, likewise musical scales “numbers” for the most part all can be divided by the Platonic 25920 and 2592 is the PWS 19th member. The PWS list is in the correct order, as will soon be evidenced, likewise the “Whole” denoted as: W*

1 |
W |
÷ | 384 |
= |
121.5 |
x |
256 |
= |
31104 |

2 |
W |
÷ | 432 |
= |
108 |
x |
256 |
= |
27648 |

3 |
W |
÷ | 486 |
= |
96 |
x |
256 |
= |
24576 |

4 |
W |
÷ | 512 |
= |
91.125 |
x |
256 |
= |
23328 |

5 |
W |
÷ | 576 |
= |
81 |
x |
256 |
= |
20736 |

6 |
W |
÷ | 768 |
= |
60.75 |
x |
256 |
= |
15552 |

7 |
W |
÷ | 864 |
= |
54 |
x |
256 |
= |
13824 |

8 |
W |
÷ | 972 |
= |
48 |
x |
256 |
= |
12288 |

9 |
W |
÷ | 1024 |
= |
45.5625 |
x |
256 |
= |
11664 |

10 |
W |
÷ | 1152 |
= |
40.5 |
x |
256 |
= |
10368 |

11 |
W |
÷ | 1296 |
= |
36 |
x |
256 |
= |
9216 |

12 |
W |
÷ | 1458 |
= |
32 |
x |
256 |
= |
8192 |

13 |
W |
÷ | 1536 |
= |
30.375 |
x |
256 |
= |
7776 |

14 |
W |
÷ | 1728 |
= |
27 |
x |
256 |
= |
6912 |

15 |
W |
÷ | 1944 |
= |
24 |
x |
256 |
= |
6144 |

16 |
W |
÷ | 2048 |
= |
22.78125 |
x |
256 |
= |
5832 |

17 |
W |
÷ | 2187 |
= |
21.333 |
x |
768 |
= |
16384 |

18 |
W |
÷ | 2304 |
= |
20.25 |
x |
256 |
= |
5184 |

19 |
W |
÷ | 2592 |
= |
18 |
x |
256 |
= |
4608 |

20 |
W |
÷ | 2916 |
= |
16 |
x |
256 |
= |
4096 |

21 |
W |
÷ | 3072 |
= |
15.1875 |
x |
256 |
= |
3888 |

22 |
W |
÷ | 3456 |
= |
13.5 |
x |
256 |
= |
3456 |

23 |
W |
÷ | 3888 |
= |
12 |
x |
256 |
= |
3072 |

24 |
W |
÷ | 4096 |
= |
11.390625 |
x |
256 |
= |
2916 |

25 |
W |
÷ | 4374 |
= |
10.666 |
x |
768 |
= |
8192 |

26 |
W |
÷ | 4608 |
= |
10.125 |
x |
256 |
= |
2592 |

27 |
W |
÷ | 5184 |
= |
9 |
x |
256 |
= |
2304 |

28 |
W |
÷ | 5832 |
= |
8 |
x |
256 |
= |
2048 |

29 |
W |
÷ | 6144 |
= |
7.59375 |
x |
256 |
= |
1944 |

30 |
W |
÷ | 6561 |
= |
7.111 |
x |
2304 |
= |
16384 |

31 |
W |
÷ | 6912 |
= |
6.75 |
x |
256 |
= |
1728 |

32 |
W |
÷ | 7776 |
= |
6 |
x |
256 |
= |
1536 |

33 |
W |
÷ | 8192 |
= |
5.6953125 |
x |
256 |
= |
1458 |

34 |
W |
÷ | 8748 |
= |
5.333 |
x |
768 |
= |
4096 |

35 |
W |
÷ | 9216 |
= |
5.0625 |
x |
256 |
= |
1296 |

36 |
W |
÷ | 10368 |
= |
4.5 |
x |
256 |
= |
1152 |

**……………………………..**

*The prerequisite of 36 terms*

*There most certainly is a requirement to attain 36 terms in view of the fact that Plato’s emphasis on the duodecimals is of paramount importance, furthermore symbolically indispensable, the deduced portions {A} = 3 {B} = 6 {C} = 9 {D} = 12 {E} = 27 {F} = 24 {G} = 81, must, primarily, be multiplied by the attained 128 {256 ÷ 2} therefore*

*{A} 3 x 128 = 384, this evidently being the commencing number of PWS*

*{B} 6 x 128 = 768*

*{C} 9 x 128 = 1152*

*{D} 12 x 128 = 1536*

*{E} 27 x 128 = 3456*

*{F} 24 x 128 = 3072 {the 384 + 768 + 1152 + 1536 + 3456 + 3072 = 10368}*

*{G} 81 x 128 = 10368, this will be the very last PWS member*

*The produced numbers: 384, 768, 1152, 1536, 3456, 3072 and 10368 are, by means of my methodology, members of PWS obviously it terminates in the company of 10368*

*It now calls for the first number 384 to be multiplied by Plato’s ratio as indicated prior, namely: 9:8 {1.125} the reader will observe multiplications by not merely 1.125, furthermore by the FP {256:243} 1.333 and 1.06787109375 this is the FP multiplied by the Comma. The rationale why these factors are utilised occupied a considerable amount of research and experimentation, far too convoluted to clarify fully herein, subsequently PWS at this time compromises of the aforementioned: 2187, 4374. 5184, 6561, 10368 {last member}: as well as these obtained: 384, 768, 1152, 1536, 3456, and 3072*

*Hence in numerical order: 384, 768, 1152, 1536, 2187, 3072, 3456, 4374, 5184, 6561, 10368 at this time we boast 11 PWS members in all, likewise as we observe prior the: 864, 1728, 2592, 3456, 7776, 6912 are all PWS members My initial compiled list, in reality, comprised only 35 terms, therefore I shall demonstrate a methodology that I employed to attain the 36th {9216} the strategy differs from the norm, nonetheless I consider it to be legitimate, moreover I shall endeavour to validate the findings, anywise, observe the developments Apologetic if I appear patronising for all seems evident, notice though how the number 2 likewise the term : second crops up continually, likewise heed the fact that whole numbers are produced on the extreme right, moreover from what source they stem, nonetheless we promptly resume, and I trust the reader may possibly comprehend my somewhat awry judgement*

**……………………………..**

*Forming PWS*

*Given that the Whole is 46646, likewise the Pythagorean Limma is: 256:243 we find that: 4.6656 x 256 = 1194.3936, as prior, we will perceive PWS terms appear, likewise musical scale “numbers” materialise, the options are numerous, nonetheless these examples will suffice for the time being, the 1194.3936 denoted as: W {World-Soul}*

W |
÷ |
384 |
= |
3.1104 |
||||

W |
÷ |
432 |
= |
2.7648 |
||||

W |
÷ |
486 |
= |
2.4576 |
||||

W |
÷ |
512 |
= |
2.3328 |
||||

W |
÷ |
576 |
= |
2.0736 |
||||

W |
÷ |
768 |
= |
1.5552 |
||||

W |
÷ |
864 |
= |
1.3824 |
||||

W |
÷ |
972 |
= |
1.2288 |
||||

W |
÷ |
1024 |
= |
1.1664 |
||||

W |
÷ |
1152 |
= |
1.0368 |
||||

W |
÷ |
1296 |
= |
0.9216 |
||||

W |
÷ |
1458 |
= |
0.8192 |
||||

W |
÷ |
1536 |
= |
0.7776 |
||||

W |
÷ |
1728 |
= |
0.6912 |
||||

W |
÷ |
1944 |
= |
0.6144 |
||||

W |
÷ |
2048 |
= |
0.5832 |
||||

W |
÷ |
2187 |
= |
0.5461333 |
x |
9 |
= |
4.9152 |

W |
÷ |
2304 |
= |
0.5184 |
||||

W |
÷ |
2592 |
= |
0.4608 |
||||

W |
÷ |
2916 |
= |
0.4096 |
||||

W |
÷ |
3072 |
= |
0.3888 |
||||

W |
÷ |
3456 |
= |
0.3456 |
||||

W |
÷ |
3888 |
= |
0.3072 |
||||

W |
÷ |
4096 |
= |
0.2916 |
||||

W |
÷ |
4374 |
= |
0.2730666 |
x |
9 |
= |
2.4576 |

W |
÷ |
4608 |
= |
0.2592 |
||||

W |
÷ |
5184 |
= |
0.2304 |
||||

W |
÷ |
5832 |
= |
0.2048 |
||||

W |
÷ |
6144 |
= |
0.1944 |
||||

W |
÷ |
6561 |
= |
0.1820444 |
x |
9 |
= |
1.6384 |

W |
÷ |
6912 |
= |
0.1728 |
||||

W |
÷ |
7776 |
= |
0.1536 |
||||

W |
÷ |
8192 |
= |
0.1458 |
||||

W |
÷ |
8748 |
= |
0.1365333 |
x |
9 |
= |
1.2288 |

W |
÷ |
9216 |
= |
0.1296 |
||||

W |
÷ |
10368 |
= |
0.1152 |

*I ought to demonstrate at least one analysis method I undertook to validate PWS as detailed prior, the process to procure the members being to multiply the initially produced 384, 768, 1152, 1536, 3456, and 3072 {not 10368, since this is the termination member} repeatedly by 1.5, 1. 333 and 1.125 The instant the multiplication process produces a number greater than 10368, this is the termination point, and irregular numbers indicate that we should discontinue the calculations, as will be evidenced. Likewise we disregard the numbers we previously obtained that comprise the not quite middle stage of PWS, given that we no more than boast 11, moreover we require 36 for a complete PWS*

*We commence with the first PWS member: 384*

*{A} 384 x 1.5 = 576 x 1.5 = 864 x 1.5 = 1296 x 1.5 = 1944 x 1.5 = 2916 x 1.5 = 4374 x 1.5 = 6561 x 1.5 = 9841.5, we therefore terminate with the number 6561 as a PWS member, since the produced 9841.5 is irregular {although 9841.5 is 8748 x 1.125}*

*{B} 384 x 1. 333 = 512 x 1.333 = 682.666, likewise we terminate with 512, as a PWS member*

*{C} 384 x 1.125 = 432 x 1.125 = 486 x 1.125 = 546.75, likewise we terminate with 486; as a PWS member, given that the produced 546.75 is irregular, this will be the modus operandi throughout*

*Next, we process the 768*

**{A2}** 768 x 1.5 = 1152 x 1.5 = 1728 x 1.5 = 2592 x 1.5 = 3888 x 1.5 = 5832 x 1.5 = 8748 x 1.5 = 13122, terminate with 8748, given that 13122 is greater than 10368, although 13122 is 10368 x 1.265625 an additional musical scale, {likewise 1.265625 being 1.125 x 1.125}

*{B2} 768 x 1. 333 = 1024 x 1.333, = 1365.333 terminate with 1024.*

*{C2} 768 x 1.125 = 864 x 1.125 = 972 x 1.125 = 1093.5 terminate with 972*

*Next, we process the 1152*

**{A3}** 1152 x 1.5 = 1728 x 1.5 = 2592 x 1.5 = 3888 x 1.5 = 5832 x 1.5 = 8748 x 1.5 = 13122 terminates with 8748.

*{B3} 1152 x 1. 333 = 1536 x 1.333, = 2048 x 1.333 = 2730.666 terminate with 2048.*

*{C3} 1152 x 1.125 = 1296 x 1.125 = 1458 x 1.125 = 1640.25 terminates with 1458*

*Next the 1536*

**{A4}** 1536 x 1.5 = 2304 x 1.5 = 3456 x 1.5 = 5184 x 1.5 = 7776 x 1.5 = 11664 terminates with 7776

*{B4} 1536 x 1. 333 = 2048 x 1.333 = 2730.666 terminates with 2048.*

*{C4} 1536 x 1.125 = 1728 x 1.125 = 1944 x 1.125 = 2187 x 1.125 = 2460.375, terminates with 2187*

*Next the 3456*

**{A5}** 3456 x 1.5 = 5184 x 1.5 = 7776 x 1.5 = 11664 terminates with 7776

*{B5} 3456 x 1. 333 = 4608 x 1.333 = 6144 x 1.333 = 8192 x 1.333 = 10922.666 terminates with 8192*

*{C5} 3456 x 1.125 = 3888 x 1.125 = 4374 x 1.125 = 4920.75 terminates with 4374*

*Next the 3072*

**{A6}** 3072 x 1.5 = 4608 x 1.5 = 6912 x 1.5 = 10368 obviously terminating in 6912 in view of the fact that 10368 as expressed being the “cut-off” point

*{B6} 3072 x 1. 333 = 4096 x 1.333 = 5461.333 terminates with 4096*

*{C6} 3072 x 1.125 = 3456 x 1.125 = 3888 x 1.125 = 4374 x 1.125 = 4920.75 terminates with 4374*

*Within the foregoing we disregard any numbers previously unearthed, the PWS member list prior being: 384, 768, 1152, 1536, 2187, 3072, 3456, 4374, 5184, 6561, 10368*

*However at the moment we have gained the numbers:*

*Within {A} 576, 864, 1296, 1944 and 2916*

*Within {B} 512*

*Within {C} 432 and 486*

*Within {A2} 1728, 2592, 3888, 5832, and 8748*

*Within {B3} 2048*

*Within {C2} 972*

*Within {C3} 1458*

*Within {A4} 2304 and 7776*

*Within {C4} 1944*

*Within {B5} 4608, 6144, and 8192*

*Within {A6} 6912*

*Within {B6} 4096*

*Please note that on two occasions we terminated with 8748 in {A3} and {A2} in view of the fact that this is a significant occurrence Among the foregoing, there are 35 dissimilar numbers even though some experienced duplication, at the moment to locate the 36th number We currently multiply every one of the end numbers E.G. the 6561 by the FP {256:243}, the instant a number emerges that we did not earlier procure; this will be the elusive 36th member. The numbers below are as they emerged during the above process*

*I.E in {A} 384 x 1.5 = 576 x 1.5 = 864 x 1.5 = 1296 x 1.5 = 1944 x 1.5 = 2916 x 1.5 = 4374 x 1.5 = 6561 x 1.5 = 9841.5, we therefore terminated with the number 6561 as a PWS member*

*Otherwise in {C6} 3072 x 1.125 = 3456 x 1.125 = 3888 x 1.125 = 4374 x 1.125 = 4920.75 terminates with 4374; therefore, again obviously, we terminated with 4374*

*Consequently as indicated we multiply all the terminating numbers by the FP {256:243} moreover merely seek out duplicating numbers, given that they will be PWS members First a few observations, the 512 x FP = 539.39094650205761 3168724…please make a note of the 576 and 3168 within. Gematria Value Eagle Pneuma {Breath} is 576 {also the 5th PWS member} the Gematria Value Lord Jesus Christ is 3168, thus either will suffice*

*Accordingly the now abridged: 539.39094650205761…x 576 = 310689. 185185 x 27 = 8388608, which is Gematria: Jesus Christ: 2368 x 3542.486486 this divided by the {2} 512 = 6.918918 that multiplied by 1498.5 = 10368, the end PWS member, the 1498.5 is 576 x 2.6015625 this multiplied by the FP {256:243} component, namely: 256 = 666, the proverbial “Beast”*

*Or else the 539.39094650205761…x 3168 = 1708790.518518 x 27 = 46137344 which is 5.5 x 8388608, there are numerous additional options Via adding all PWS members from 384 to 10368 the sum is 125606, the 125606 plus 123456 = 249062, a tolerable Earth Equatorial circumference {miles} albeit increased tenfold The now reduced: 24906.2 minus 89.2 = 24817, a tolerable Polar circumference the 89.2 minus 57.6 minus 30.24 = 1.36 one half of 2.72 this is the Alexander Thom Megalithic Yard, etc the 57.6 is one tenth of 576 Gematria Value: Eagle, Pneuma {Breath} the 5th PWS member is 576, the Great Pyramid of Giza height is 5760 {480 x 12} the base perimeter is 3024 there are numerous additional options*

*For instance the 2048 x FP = 2157.563786008230452…please make a note of the highlighted number 2304, which, as will soon be evidenced, is the 18th PWS member, hence: 2304 ÷ 2157.563786008230452…= 1.06787109375 this is the FP {256:243} multiplied by the Comma of Pythagoras: {531441:524288} Equivalent to the indicated prior: 512 x FP = 539.39094650205761…at this time we perceive a highlighted 576, as a result 576 ÷ 539.39094650205761… = 1.06787109375, there are numerous such examples within the list, nonetheless we must move progress via a revisit to the prior indicated:*

*We commence with the first PWS member: 384*

*{A} 384 x 1.5 = 576 x 1.5 = 864 x 1.5 = 1296 x 1.5 = 1944 x 1.5 = 2916 x 1.5 = 4374 x 1.5 = 6561 x 1.5 = 9841.5, we therefore terminate with the number 6561 as a PWS member, since the produced 9841.5 is irregular, {although 9841.5 is 8748 x 1.125}*

*{B} 384 x 1. 333 = 512 x 1.333 = 682.666, likewise we terminate with 512, as a PWS member*

*{C} 384 x 1.125 = 432 x 1.125 = 486 x 1.125 = 546.75, likewise we terminate with 486; as a PWS member, this will be the modus operandi throughout etc*

*As is obvious we gained: 6561, 512 and 486 subsequently discovered additional PWS members as we progressed; at this time we multiply the entire by the FP {256:243} after that some by the “Comma”*

*{1} 6561 x FP = 6912*

*{2} 512 x FP = 539.39094650205761… {This x Comma = 1093.5}*

*{3} 486 x FP = 512*

**{4}** 8748 x FP = 9216

*{5} 1024 x FP = 1078.78189300411522… {This x Comma = 1093.5}*

*{6} 972 x FP = 1024*

**{7}** 8748 x FP = 9216

*{8} 2048 x FP = 2157.563786008230452… {This x Comma = 2187}*

*{9} 1458 x FP = 1536*

*{10} 7776 x FP = 8192*

*{11} 2048 x FP = 2157.563786008230452… {This x Comma = 2187}*

*{12} 2187 x FP = 2304*

*{13} 7776 x FP = 8192*

*{14} 8192 x FP = 8630.2551440329… {This x Comma = 8748}*

*{15} 4374 x FP = 4608*

*{16} 6912 x FP = 7281. 777 {this x Comma = 7381.125 this is 4374 x 1.6875}*

*{17} 4096 x FP = 4315.12757201646… {This x Comma = 4374}*

*{18} 4374 x FP = 4608*

*As indicated prior: “Please note that on two occasions we terminated with 8748 in {A2} and {A3}” Likewise at present the whole numbers produced we already possess, all bar for the two occasions wherein we produced 9216 within rows:*

**{4}** 8748 x FP = 9216

**{7}** 8748 x FP = 9216

*Therefore we have attained the 36th.term which is quite obviously 9216 in view of the fact that the PWS end member is 10368, which is 1.125 x 9216, additional multiplications of 9216 will produce a number greater than 10368, therefore 9216 is obliged to be the penultimate member of PWS*

*In numerical sequence with the newly obtained numbers, the full PWS is therefore*

*{1} 384 {2} 432 {3} 486 {4} 512 {5} 576 {6} 768 {7} 864 {8} 972 {9} 1024 {10} 1152. {11} 1296 {12} 1458 {13} 1536 {14} 1728. {15} 1944 {16} 2048. {17} 2187 {18} 2304 {19} 2592 {20} 2916 {21} 3072 {22} 3456 {23} 3888 {24} 4096 {25} 4374 {26} 4608 {27} 5184 {28} 5832 {29} 6144 {30} 6561 {31} 6912 {32} 7776 {33} 8192 {34} 8748 {35} 9216 {36} 10368*

*Employing the ancient Hermetic dictum “As above-So below” disclosed in the Lament of Asclepius “In Egypt all the operations of the powers which rule and work in Heaven have been brought down to Earth below”*

*Please observe the result whilst we deduct the numbers {from the bottom up} from 10368, for example: 10368 minus 9216 = 1152, next 10368 minus 8748 = 1620, etc*

*The sequence being as follows {a few digits will be highlighted}*

*{1} 1152 {2} 1620 {3} 2176 {4} 2592 {5} 3456 {6} 3807 {7} 4224 {8} 4536 {9} 5184 {10} 5760 {11} 5994 {12} 6272 {13} 6480 {14} 6912 {15} 7296 {16} 7452 {17} 7776 {18} 8064 {19} 8181 {20} 8320 {21} 8424 {22} 8640 {23} 8832 {24} 8910 {25} 9072 {26} 9216 {27} 9344 {28} 9396 {29} 9504 {30} 9600 {31} 9792 {32} 9856 {33} 9882 {34} 9936 {35} 9984*

*Apart from the fact that a few of PWS terms re-emerge, the most important element being for the reader to heed the commencing digits of all the above given that they form a numerical pattern as follows: 11223344555666777888888899999999999, somewhat interesting Likewise on view are numbers that will appear throughout this work such as:*

*{2} 1620 {7} 4224 {8} 4536 {13} 6480 {18} 8064 {24} 8910 {25} 9072 {29} 9504 etc*

*Without seeming facetious nor condescending, attempt the division of all the above by 666 {otherwise divisors-multiples of} to obtain further numerals of interest, one example in {29} the 9504 divided by Mr. Nasty 666 = 14.270270, divide the end PWS member: 10368 by this 14.270270 to obtain 726.5454 and this multiplied by 3.259259 = 2368, which is Gematria Jesus Christ The 3.259259 x 3.2323 {6080 ÷ 1881} = 10.54349794238…which is 10 x FP {256:243}, likewise 9504 is 1.8 miles of 5280 feet, there are numerous options within the foregoing, far too many to illustrate in one fell swoop One supplementary example only, the 3.259259 x 25920 = 84480, which is 20 x 4224 as observed within {7} above Likewise 84480 is 8.888 x 9504 moreover the 8.888 x 684 = 6080 the British Admiralty, or as I dub it: “Sea” mile, etc {Please see 8.888 below}*

…………………………………………….

*As per norm, the Pythagorean Limma {256:243} labelled FP { Fraction of Plato} likewise the second digits highlighted create the pattern: 1.6154825179249247013468902335678899 this in addition proves of benefit in view of the fact that via employing: Gematria: Founder of the City: 1225 we find that:*

**1.6154825179249247013468902335678899** multiplied by the FP x **1225** afterwards divided by 1288.49994037__555__ = 1.618033988749894… consequently this is **Phi** correct to **15** decimal places, consequently to obtain **Phi **we need to increase the **1225** and decrease the **1.6154825179249247013468902335678899** to exactly 1.6154825179249247

*Subsequently 1.6154825179249247 x FP x 1225.000000000000099898485537794 ÷ 1288.49994037555 = 1.6180339887498948482045868343653…which is Phi*

*Gematria: Founder of the City: 1225, the ancient number of perfection: 10, the lunar, Yin-Yang number: 1080, the GP base side length: 9072, the modern-day mile: 5280*

*The prior 1288.49994037 555 ÷ Pi ÷ 1.1223344555666777888888899999999999 = 365.43676204049… admittedly a shoddy Earth Year, nonetheless worth considering Given that the prior Gematria: Founder of the City: 1225 that we altered to read as: 1225.000000000000099898485537794…÷ 365.43676204049… x 108 x 1.00886565 = 365.2421984541…an enhanced Earth year, this “year” of 365.2421984541… x 360000 ÷ 5280 = 24902.877167… a tolerable Earth Equatorial circumference*

*The employed 1.0088 6565 x 1881 = 1897.6763, this is 0.3121178125 Sea miles of 6080, the 0.3121178125 multiplied by the FP {256:243} then by the Tetractys total: 8436 x 81 = 224684.87392, that divided by the 1.00886565 = 222710.4 this divided by the Great Pyramid of Giza base perimeter of 3024 = 73.6476190 this divided by the Rhind Papyrus {256:81} of 3.160493827 = 23.30256696428571 that divided by the Schooldays Pi {22 ÷ 7} of 3.142857 = 7.414453125, this multiplied by 1228.8 = 9110.88 that minus the Great Pyramid of Giza base side length {inches} of 9072 = 38.88, the 23rd PWS member is 3888, the 1228.8 pertains to the musical scales. The Great Pyramid of Giza henceforth denoted as: GP*

**……………………………..**

*The 1st PWS member: 384 the Pythagorean Limma {256:243} denoted as FP the longer value Egyptian foot of 1.152 increased to 1152*

**10** ÷ **Pi** x FP x 384 plus the prior 1.1223344555666777888888899999999999 then minus the likewise prior: 1288.49994037__555__ = 0.3234250022892…this multiplied by 76950 subsequently plus 13.5 = 24901.0539261… a tolerable Earth Equatorial circumference

*The 76950 divided by the Sea mile of 6080 = 12.65625 this is the musical scale: 81:64 increased given that 81 ÷ 64 = 1.265625 However 12.65625 x 128 = 1620, hence 12.65625 obtains: 486, 6480, 1296, 1944, and 2916 etc*

**Phi **÷ 0.3234250022892...x 1152 = 5763.23766513__555__… x 1.575 minus **5.1** = 9071.999322…tolerable as 9072 the GP base side length The **5.1** x 30 = **153** the “**fishes**” landed upon the Sea of Galilee via Simon Peter, Gematria **1925**, likewise Gematria: the Net otherwise Divine Circle: **1224** is **5.1** x 240, at this time we resume the PWS exploration

**……………………………..**

*One method to obtain PWS*

*Regarding the 0. 888 the number 8 is cyclic in other words: 0.888 x 9 = 8, please note the product is the next number in PWS. For example: the 1st: 384 produces 432 {the 2nd}…the 432 produces 486 {the 3rd}…the 486 produces 512 {the 4th}, etc,*

*{1} 384 ÷ 0. 888 = 432*

*{2} 432 ÷ 0. 888 = 486*

*{3} 486 ÷ 0.94921875 = 512*

*{4} 512 ÷ 0. 888 = 576*

*{5} 576 ÷ 0.75 = 768*

*{6} 768 ÷ 0. 888 = 864*

*{7} 864 ÷ 0. 888 = 972*

*{8} 972 ÷ 0.94921875 = 1024*

*{9} 1024 ÷ 0. 888 = 1152*

*{10} 1152 ÷ 0. 888 = 1296*

*{11} 1296 ÷ 0. 888 = 1458*

*{12} 1458 ÷ 0.94921875 = 1536*

*{13} 1536 ÷ 0. 888 = 1728*

*{14} 1728 ÷ 0. 888 = 1944*

*{15} 1944 ÷ 0.94921875 = 2048*

*{16} 2048 ÷ 0.9364426154 = 2187*

*{17} 2187 ÷ 0.94921875 = 2304*

*{18} 2304 ÷ 0. 888 = 2592*

*{19} 2592 ÷ 0. 888 = 2916*

*{20} 2916 ÷ 0.94921875 = 3072*

*{21} 3072 ÷ 0. 888 = 3456*

*{22} 3456 ÷ 0. 888 = 3888*

*{23} 3888 ÷ 0.94921875 = 4096*

*{24} 4096 ÷ 0.9364426154 = 4374*

*{25} 4374 ÷ 0.94921875 = 4608*

*{26} 4608 ÷ 0. 888 = 5184*

*{27} 5184 ÷ 0. 888 = 5832*

*{28} 5832 ÷ 0.94921875 = 6144*

*{29} 6144 ÷ 0.9364426154 = 6561*

*{30} 6561 ÷ 0.94921875 = 6912*

*{31} 6912 ÷ 0. 888 = 7776*

*{32} 7776 ÷ 0.94921875 = 8192*

*{33} 8192 ÷ 0.9364426154 = 8748*

*{34} 8748 ÷ 0.94921875 = 9216*

*{35} 9216 ÷ 0. 888 = 10368*

*{36} 10368 {end member}*

*The above chart depicts an uncomplicated method to formulate PWS, as indicated prior, the 0. 888 being the division of 8 by 9, and the product of dividing the {3} 486 by {4} 512 being: 0.94921875, the 0.94921875 multiplied by the FP {256:243} obtains 1 {one} Similarly the 1st PWS member: 384 ÷ 0.94921875 = 404.543209876, the cyclic 543209876 impels the employ of the FP {Pythagorean Limma {256:243} component: 256 Consequently 404.543209876 x 256 = 103563.061728395, at this time the cyclic 061728395, contains 1728, the cubic inches in one cubic foot, likewise 1728 x 27 = 46656, which is the cubic inches in one cubic yard; likewise as I established 46656 is the “Whole” as suggested within Timaeus, nonetheless under no circumstances made known via the enigmatic Plato*

*Timaeus-Plato-Whole*

*As indicated prior, within Timaeus the “Whole” that I calculated to be 46656 is formed via the Greek Lambda, {letter L}: like so: 1 x 2 x 3 x 4 x 9 x 8 x 27 = 46656 Nonetheless, amongst numerous options, 46656 is 1728 x 27, as a result it follows that the above 1728 containing: 103563.061728395 x 46656 = 4831838208, which is the end PWS member: 10368 x 466033.777, which is one ninth of 4194304, this being, yet again amongst numerous options the 10368 x 404.543209876 as we observe prior, the permutations are literally endless*

*In view of the fact that the 466033. 777 is 262144 x 1.777 which is the square root of: 3.160493827 the Rhind Papyrus {256:81} as indicated via the Egyptian scribe: Ahmes circa 1650: BCE However the 3.160493827 ÷ 3 will regain the Pythagorean Limma {256:243} Furthermore the 262144 x 2 = 524288 a Comma of Pythagoras component {531441:524288} we often observe modern-day computers exhibiting bytes of 262144 etc*

*The Earth mean circumference of 24883.2 ÷ 4 = 6220.8 ÷ 7 = 888.6 857142 the Pythagorean Limma {256:243} components will obtain: 256 x 243 = 62208 which is 6 x 10368 the 36th and final PWS member, otherwise 62208 is 162 x 384 which is the 1st PWS member Hence the 888.6857142 divided by the “Limma” {256:243} obtains 843.5571428 The Earth mean circumference of 24883.2 divided by the 843.5571428 = 29.49794238683…*

*This 29.49794238683… divided by the Rhind Papyrus of 3. 160493827 = 9.333 which is one third of 28 Accordingly it follows that the 9.333 multiplied by 666.5142857 will regain the 6220.8 The 666.5142857 is one seventieth of 46656, the “Whole” within Timaeus via which the PWS was formed Moreover 46656 is the Earth: 24883.2 x 1.875 that multiplied by 3317.76 = 6220.8, the employed 3317.76 is the 1st PWS member: 384 x 8.64*

*It follows that 46656 is 8.64 x 5400, myriad avenues to follow, in view of the fact that the 5400 divided by the commencing: 888.6 857142 = 6.0763888 that multiplied by 100.101558857142 = 608.256 the Roman furlong. The NC Earth mean circumference of 24883.2 ÷ 100.101558857142 = 248.5795454 which divided by the Egyptian foot of 1.14545 = 217.013888 which,, divided by the 6.0763888 = 35.714285 this multiplied by 28 = 1000*

*Likewise returning to the “Then 24883.2 divided by the 843.5 571428 = 29.49794238683… This 29.49794238683… x 21865001.142857 = 644972544, this is the NC Earth: 24883.2 multiplied by 25920, which is the Platonic year, conversely the 19th PWS member is 2592*

*The employed 21865001. 142857 divided by the School-days Pi {22 ÷ 7} of 3.142857 = 6957045.8181 that divided by the Egyptian cubit of 1.71818 = 4049074.285714 which is the modern-day mile of 5280 x 766.870129 The cyclic 870129 within this: 766.870129 hints at, for example, the proverbial “Beast” namely: 666 given that 666 x 27 = 17982, as a result there are numerous options to pursue, such as 766.870129 x 666 x 5280 = 2696683474.285714 which is one seventh of 18876784320 which is the prior 62208 x 303446.25 which is the Platonic 25920 x 11.70703125 that multiplied by 56.888 = 666*

*Otherwise this 56. 888 divided by the prior 6.0763888 = 9.362285714 one seventh of 65.536 that divided by a reduced Greek mile {5068.8} of 5.0688 = 12.9292 that multiplied by exactly 0.61875 = 8, the NC {Numerical Canon} Earth to Moon distance: 237600 ÷ 0.61875 = 384000 obviously the 1st PWS member 384 increased*

*Final example the NC Moon circumference is 35831808 feet, we observe prior: “103563. 061728395 x 46656 = 4831838208”*

*This 4831838208 too alike the Moon 35831808 as to be ignored, hence 4831838208 ÷ 35831808 ÷ FP = 128, or 4831838208 ÷ 35831808 x 243 = 32768, ample options*

* ……………………………..*

*Another method re PWS forming, being*

*The FP, as per norm, denotes the Pythagorean Limma { Fraction of Plato: 256:243}*

*{1} 384 x 1.125 = 432 2nd member
*

*{2} 432 x 1.125 = 486 3rd member
*

*{3} 486 x FP = 512 4th member
*

*{4} 512 x 1.125 = 576 5th member and so on
*

*{5} 576 x 1. 333 = 768*

*{6} 768 x 1.125 = 864*

*{7} 864 x 1.125 = 972*

*{8} 972 x FP = 1024*

*{9} 1024 x 1.125 = 1152*

*{10} 1152 x 1.125 = 1296*

*{11} 1296 x 1.125 = 1458*

*{12} 1458 x FP = 1536*

*{13} 1536 x 1.125 = 1728*

*{14} 1728 x 1.125 = 1944*

*{15} 1944 x FP = 2048*

*{16} 2048 x 1.06787109375 = 2187*

*{17} 2187 x FP = 2304*

*{18} 2304 x 1.125 = 2592*

*{19} 2592 x 1.125 = 2916*

*{20} 2916 x FP = 3072*

*{21} 3072 x 1.125 = 3456*

*{22} 3456 x 1.125 = 3888*

*{23} 3888 x FP = 4096*

*{24} 4096 x 1.06787109375 = 4374*

*{25} 4374 x FP = 4608*

*{26} 4608 x 1.125 = 5184*

*{27} 5184 x 1.125 = 5832*

*{28} 5832 x FP = 6144*

*{29} 6144 x 1.06787109375 = 6561*

*{30} 6561 x FP = 6912*

*{31} 6912 x 1.125 = 7776*

*{32} 7776 x FP = 8192*

**{33**} 8192 x 1.06787109375 = 8748

**{34}** 8748 x FP = 9216

**{35**} 9216 x 1.125 = 10368

*{36} 10368 {end member}*

*Myriad combinations obtainable, we require now to establish how many times the factors: 1. 333, 1.125, the FP, in addition to 1.06787109375 {FP x Comma} were employed within the forming of PWS*

*The multiplication’s utilised being*

*{A} the 1. 333 {1 time}*

*{B} the 1.125 { 18 times}*

*{C} the FP { 12 times}*

*{D} the 1.06787109375 { 4 times}*

*Therefore, multiply all to view the product like so: the 1 x 1. 333 x 18 x 1.125 x 12 x FP x 4 x 1.06787109375 = 1458, this is the 12th.term of PWS The 1.125 is FP x FP x Comma of Pythagoras: 531441:524288 The FP, as indicated being the Pythagorean Limma {256:243} the exact 1.06787109375 being FP x Comma, the 1.333 being the musical scale: 4:3 and more besides*

*The interval between C and D, 9:8 = 1.125, is called a major tone, while the interval between D and E, 10:9 = 1.111, is called a minor tone however as we observe above, the exact 1.125 being FP x FP x Comma*

*The total via adding each and every one of the employed numbers*

**{35}** 1.125… **{34} **FP… **{33}** 1.06787109375 etc, the sum being 38.49679302… that multiplied by the Timaeus: Whole: 46656, obtains exactly 1796106.375

*Conversely the total via multiplying each and every one of the numbers employed:*

**{35}** 1.125… **{34}** FP… **{33}** 1.06787109375, etc, the sum being 1458, which is the 1th PWS member which, moreover as will be perceived, 1458 is the 13th PWS member: 1536 divided by the FP Moreover the 1796106.375 ÷ 1458 = 1231.8973__765432098__ that multiplied by the FP component 243 obtains 299351.0625, which multiplied by tother FP component 256 = 76633872, which is the 1796106.375 x 42.__666__ which is the FP component 256 ÷ 6

*In that case, as we observe prior*

*“103563. 061728395 x 46656 = 4831838208, which is the end PWS member:*

*10368 x 466033.*

__777__, this is one ninth of 4194304, this being, yet again amongst numerous options, 10368 x 404.__543209876__…”*The above 1231.8973 765432098 being the 404.543209876 x 3.0451564788818359375 that multiplied by three times by the FP {256:243} component: 256 obtains exactly 51089248, this being the 1796106.375 x 28.444, which is one ninth of 256, please make a note of the number of times a number will ends with a number 5, given that whilst a number ends with the number 5 otherwise a 0 {zero} it is divisible by 5.*

*For example we recognize that: FP x FP x Comma = 1.125, as a result the above 3.0451564788818359375 ÷ 5 = 0.6090312957763671875 exactly, that plus 0.5159687042236328125 = 1.125*

*This 0.5159687042236328125 x 404. 543209876 x 256 = 53435.2987654320, this is the 1231.8973765432098 plus 52203.4013888, which is the 8 ÷ 9 product: 0.888 multiplied by exactly 58728.8265625 Seeing as it literally impossible to illustrate the incessant permutations via one fell swoop, so to speak, the exact 58728.8265625 x 256 = 15034579.6, moreover this multiplied by the Comma {531441:524288} obtains exactly 15239700.350196075439453125, that, for example, is exactly 2556797445505152 ÷ 167772160 which is exactly 320 x 524288*

**……………………………..**

*Rhind Papyrus “Pi”*

*Merely as further examples regarding the numerous permutations:*

*The Egyptian foot 1.1 4545, The Egyptian cubit being: 1.71818, The Schooldays Pi {22 ÷ 7} being: 3.142857, The Rhind Papyrus fraction being: 3.160493827*

*The prior: 167772160 ÷ 1.1 4545 ÷ 1.71818 ÷ 3.142857 ÷ 3.160493827 = 8582095.238095, which is the prior 2556797445505152 divided by 297922287.57328764204545, which for example, multiplied by the seconds in 24 hours: 86400, afterwards by the modern-day mile of 5280 = 135909764212633236, which is the Timaeus, hence the PWS “Whole” of 46656 multiplied by exactly 2913017922938.8125*

*Numerous options remain, nonetheless we best move progress, since it creates not the slightest difference the “numbers” are employed, nor the order, manner via which they are employed, especially in view of the fact that the first division: 167772160 divided by 1.1 4545 = 146467758.730158, which is the Eye of Horus fraction {63:64} reversed, given that 64 ÷ 63 = 1.015873 this multiplied by 144179200 = 146467758.730158, the 144179200 to be brief, is exactly 275 x 524288, a Comma {531441:524288} component Moreover as indicated prior, 524288 multiplied by 320 will regain the 167772160, the Eye of Horus fraction {63:64} obtains: 63 ÷ 64 = 0.984375 that multiplied by the reversed 1.015873 = 1 {one}*

*Via the foregoing, and forthcoming, all ancient and modern-day units of measure will be obtained, whether they be units of, distance, time, area, volume etc, seeing as to paraphrase Plato “all is number” The square root of Rhind Papyrus fraction {256:81} of 3. 160493827 is: 1.777, which for example is 16 ÷ 9, in addition to the “Rhind” is 3 x 1.053497942386831… which is the FP {256:243}*

*Thus initially we will divide the PWS by 1. 777 afterwards we multiply PWS by 1.777, furthermore observe numerous additional numbers of interest emerging, I will not pursue the results, given that I am persuaded the reader is more than capable of perceiving the numerous avenues, nevertheless I will supply a few numbers of note*

*{1} 384 ÷ 1. 777 = 216*

*{2} 432 ÷ 1. 777 = 243*

*{3} 486 ÷ 1. 777 = 273.375 one eigth of 2187
*

*{4} 512 ÷ 1. 777 = 288*

*{5} 576 ÷ 1. 777 = 324*

*{6} 768 ÷ 1. 777 = 432*

*{7} 864 ÷ 1. 777 = 486*

*{8} 972 ÷ 1. 777 = 546.75 one fourth of 2187*

*{9} 1024 ÷ 1. 777 = 576 one fourth of 2304*

*{10} 1152 ÷ 1. 777 = 648*

*{11} 1296 ÷ 1. 777 = 729, this is the square root of the Comma component 531441*

*{12} 1458 ÷ 1. 777 = 820.125 this x 648 = 531441
*

*{13} 1536 ÷ 1. 777 = 864*

*{14} 1728 ÷ 1. 777 = 972*

*{15} 1944 ÷ 1. 777 = 1093.5 this is 1.333 x 820.125
*

*{16} 2048 ÷ 1. 777 = 1152*

*{17} 2187 ÷ 1. 777 = 1230.1875 this multiplied by the FP = 1296*

*{18} 2304 ÷ 1. 777 = 1296*

*{19} 2592 ÷ 1. 777 = 1458*

*{20} 2916 ÷ 1. 777 = 1640.25 one fourth of 6561*

*{21} 3072 ÷ 1. 777 = 1728*

*{22} 3456 ÷ 1. 777 = 1944*

*{23} 3888 ÷ 1. 777 = 2187 this multiplied by the FP component: 243 = 531441*

*{24} 4096 ÷ 1. 777 = 2304 this multiplied by the FP x 216 = 524288*

*{25} 4374 ÷ 1. 777 = 2460.375 this multiplied by the FP = 2592*

*{26} 4608 ÷ 1. 777 = 2592*

*{27} 5184 ÷ 1. 777 = 2916*

*{28} 5832 ÷ 1. 777 = 3280.5 one half of 6561 also 3280.5 is 4 x 820.125
*

*{29} 6144 ÷ 1. 777 = 3456*

*{30} 6561 ÷ 1. 777 = 3690.5625 this multiplied by the FP = 3888*

*{31} 6912 ÷ 1. 777 = 3888*

*{32} 7776 ÷ 1. 777 = 4374*

*{33} 8192 ÷ 1. 777 = 4608*

*{34} 8748 ÷ 1. 777 = 4920.75*

*{35} 9216 ÷ 1. 777 = 5184*

*{36} 10368 ÷ 1. 777 = 5832*

*At this time we multiply by 1. 777 with, yet again a few numbers of note
*

*{1} 384 x 1. 777 = 682.666 one third of 2048 the 16th member*

*{2} 432 x 1 .777 = 768*

*{3} 486 x 1. 777 = 864*

*{4} 512 x 1. 777 = 910.222 one ninth of 8192 the 33rd member*

*{5} 576 x 1 .777 = 1024*

*{6} 768 x 1. 777 = 1365.333 one third of 4096*

*{7} 864 x 1. 777 = 1536*

*{8} 972 x 1. 777 = 1728*

*{9} 1024 x 1 .777 = 1820.444 one ninth of 16384*

*{10} 1152 x 1. 777 = 2048*

*{11} 1296 x 1. 777 = 2304*

*{12} 1458 x 1. 777 = 2592*

*{13} 1536 x 1. 777 = 2730.666 one third of 8192*

*{14} 1728 x 1. 777 = 3072*

*{15} 1944 x 1. 777 = 3456*

*{16} 2048 x 1. 777 = 3640.888 one ninth of 32768*

*{17} 2187 x 1. 777 = 3888*

*{18} 2304 x 1. 777 = 4096*

*{19} 2592 x 1. 777 = 4608*

*{20} 2916 x 1. 777 = 5184*

*{21} 3072 x 1 .777 = 5461.333 one third of 16384*

*{22} 3456 x 1. 777 = 6144*

*{23} 3888 x 1. 777 = 6912*

*{24} 4096 x 1. 777 = 7281.777 one ninth of 65536 this is 2 x 32768*

*{25} 4374 x 1 .777 = 7776*

*{26} 4608 x 1. 777 = 8192*

*{27} 5184 x 1. 777 = 9216*

*{28} 5832 x 1 .777 = 10368*

*{29} 6144 x 1. 777 = 10922.666 one third of 32768*

*{30} 6561 x 1. 777 = 11664*

*{31} 6912 x 1. 777 = 12288*

*{32} 7776 x 1 .777 = 13824*

*{33} 8192 x 1. 777 = 14563.555 one ninth of 131072 this is 8 x 16384*

*{34} 8748 x 1. 777 = 15552*

*{35} 9216 x 1. 777 = 16384*

*{36} 10368 x 1. 777 = 18432*

**……………………………..**

*The structure of PWS*

*The FP, as per norm, being the Pythagorean Limma {256:243} The Comma , as per norm, being the Comma of Pythagoras {531441:524288} Whilst we construct the entire PWS members in accurate progression, we will require “dropping” the numbers one row, for instance within the first calculation we will observe:*

*{1} 384 x 1.125 = 432… {432 becomes the 2nd PWS member} The 1.125 will drop down to the number {2} row like so*

*{2} 432 x 1.125 = 486…then: 1.125 x 1.125 = 1.265625 {486 the 3rd PWS member} The 1.265625 will drop down to the number {3} row like so*

*{3} 486 x FP = 512…subsequently: FP x 1.265625 = 1. 333 {512 the 4th PWS member} the 1.333 drops down to the {4} row so on and so forth*

*Hence the sequence produces*

*{1} 384 x 1.125 = 432…the 1.125*

*{2} 432 x 1.125 = 486…then: 1.125 x 1.125 = 1.265625*

*{3} 486 x FP = 512…subsequently: FP x 1.265625 = 1. 333*

*{4} 512 x 1.125 = 576…subsequently: 1.125 x 1. 333 = 1.5 {And so on}*

**{5}** 576 x 1.333 = 768…subsequently: 1.__333__ x 1.5 = 2

*{6} 768 x 1.125 = 864…subsequently: 1.125 x 2 = 2.25*

*{7} 864 x 1.125 = 972…subsequently: 1.125 x 2.25 = 2.53125*

*{8} 972 x FP = 1024…subsequently: FP x 2.53125 = 2. 666*

**{9}** 1024 x 1.125 = 1152…subsequently: 1.125 x 2.__666__ = 3

*{10} 1152 x 1.125 = 1296…subsequently: 1.125 x 3 = 3.375*

*{11} 1296 x 1.125 = 1458…subsequently: 1.125 x 3.375 = 3.796875*

**{12}** 1458 x FP = 1536…subsequently: FP x 3.796875 = 4

*{13} 1536 x 1.125 = 1728…subsequently: 1.125 x 4 = 4.5*

*{14} 1728 x 1.125 = 1944…subsequently: 1.125 x 4.5 = 5.0625*

*{15} 1944 x FP = 2048…subsequently: FP x 5.0625 = 5. 333*

*{16} 2048 x 1.06787109375 = 2187…then: 1.06787109375 x 5. 333 = 5.6953125*

**{17}** 2187 x FP = 2304…subsequently: FP x 5.6953125 = 6

*{18} 2304 x 1.125 = 2592…subsequently: 1.125 x 6 = 6.75*

*{19} 2592 x 1.125 = 2916…then: 1.125 x 6.75 = 7.59375*

**{20}** 2916 x FP = 3072…subsequently: FP x 7.59375 = 8

**{21}** 3072 x 1.125 = 3456…subsequently: 1.125 x 8 = 9

*{22} 3456 x 1.125 = 3888…then: 1.125 x 9 = 10.125*

*{23} 3888 x FP = 4096…then: FP x 10.125 = 10. 666*

*{24} 4096 x 1.06787109375 = 4374…then: 1.06787109375 x 10. 666 = 11.390625*

**{25}** 4374 x FP = 4608…subsequently: FP x 11.390625 = 12

*{26} 4608 x 1.125 = 5184…then: 1.125 x 12 = 13.5*

*{27} 5184 x 1.125 = 5832…then: 1.125 x 13.5 = 15.1875*

**{28}** 5832 x FP = 6144…subsequently: FP x 15.1875 = 16

*{29} 6144 x 1.06787109375 = 6561…then: 1.06787109375 x 16 = 17.0859375*

**{30}** 6561 x FP = 6912…subsequently: FP x 17.0859375 = 18

*{31} 6912 x 1.125 = 7776…subsequently: 1.125 x 18 = 20.25*

*{32} 7776 x FP = 8192…then: FP x 20.25 = 21. 333*

*{33} 8192 x 1.06787109375 = 8748…then: 1.06787109375 x 21. 333 = 22.78125*

**{34}** 8748 x FP = 9216…subsequently: FP x 22.78125 = 24

*{35} 9216 x 1.125 = 10368…subsequently: 1.125 x 24 = 27*

*{36} 10368 {end member}*

*As may be witnessed whole numbers are produced on the extreme right The 6144, 8192, 4096, 2187 and others on view were discarded or added to their lists by various eminent personages in Platonic studies over the ages*

*Whole numbers were produced on the extreme right of the calculations in rows {5}, {9}, {12}, {17}, {20}, {21}, {25}, {28}, {30}, {34}, {35} for example as will be perceived row {34} produced: 24 row {35} produced: 27, etc Therefore the row “numbers”: 5 + 9 + 12 + 17 + 20 + 21 + 25 + 28 + 30 + 34 + 35 = 236*

*Units of measure*

*The 236 x 162 = 38232 which divided by 10368 {end PWS member} = 3.6875 this multiplied by 46656 {the Whole} will obtain 172044 which divided by 384 {first member} = 448.03125, the 448.03125 x FP = 472 which is obviously twice 236, another example being 528 minus the 236 = 292 Furthermore 292 x 1.25 = 365 Gematria value: Mithras, Abraxas Or 292 x 2 = 584 Maya Synodic period of Venus Or 292 x 5 = 1460 the Sothic cycle Or 292 x 7.5 = 2190 Gematria value: Son of Man*

**……………………………..**

*PWS and Earth*

*On the other hand to obtain a sufficient Earth year in addition to a satisfactory Earth Equatorial circumference we employ the prior 292 in the company of the Sea mile of 6080 the 9th PWS member 1024, the Grand Gallery sloping floor line length of 1881 {modern-day inches} in addition to the average days in one month: 30, like so:*

*The 6080 x 1881 x 30 = 343094400 ÷ 292 ÷ 1024 ÷ Pi = 365.2421989187… and this multiplied by 360000 then divided by the mile of 5280 obtains: 24902.8771990053…As a result obviously 292 x 1024 = 299008 which is 204.8 x 1460 which is the Sothic cycle as indicated above, with regard to the 204.8, the 16th PWS member is 2048 With regard to the employed Grand Gallery: 1881 this is 99 x 19, Gematria Eve, a prime number, moreover pertaining to the Metonic Cycle, the 99 x 4 = 396 {please see below}*

*With reference to the aforementioned “being 528 minus 236 = 292” We will employ the ancient maxim “As above-So below” such as 236 reversed is 632 therefore 632 minus 236 = 396 plenty of scope with regard to 396*

*On the other hand, 632 ÷ 236 = 2.677966101… that multiplied by the commencing: {236 x 162} of 38232 = 102384, which is, for example, 10368 x 9.875 that multiplied by 64 = 632 Subsequently 46656 ÷ 396 = 117. 8181 which multiplied by the FP = 124.1212, which is 38.4 x 3.2323 which multiplied by the awe-inspiring Grand Gallery floor line length {modern day inches} of 1881 = 6080, which as illustrated, is the British Admiralty {as I dub it “Sea”} mile.*

*The 117. 8181 being the Egyptian cubit of 1.71818 x 68.571428 that multiplied by 151.2 = 10368. The Great Pyramid base perimeter of 3024 being the 151.2 x 20, equally the 68.571428 x 7 = 480 the Great Pyramid intended height, also 117.8181 x 88 = 10368 Likewise a few multiples of the 396 being: 7920, 3168, 43560, 6336, etc. I am certain the reader is more than able to envision the potential of the number 396 Since the number of seconds in 24 hours 86400 ÷ 396 = 218.1818 which multiplied by 24.2 = 5280 {mile}, the 24.2 x 200 = 4840 {square yards in one acre} so on and so forth {Draconic Month approximately 242 days}*

*In that case the ancient NC { Numerical Canon} Earth mean circumference 24883.2 being the 218.1818 x 114.048 pertaining to the NC Moon diameter 11404800 Likewise 218.1818 ÷ 1.185185 = 184.0909, which multiplied by the 1881 = 346275, this is 56.953125 x 6080, the 56.953125 x FP = 60 Then again the FP x 1881 x 4 = 7926.518518 although this is exactly 6688 x 1.185185 the Pythagorean Minor Third {32:27} we will obtain a tolerable Earth Equatorial circumference via: 7926.518518 x Pi = 24901.892346321229…*

*With regard to the Moon, the NC diameter is 11404800*

*In that case the 24901.892346321229…x 1440 ÷ Pi = 11414186.666 this being 5280 x 2 x 1080.888 that minus the lunar, Yin Yang number: 1080 = 0.888 Then the Sea mile of 6080 ÷ 0.888 = 6840 this divided by the 1st PWS member: 384 = 17.8125 this multiplied by the FP = 18.765432098 which multiplied by 324 = 6080, Otherwise the 11414186.666 minus the NC Moon: 11404800 = 9386.666 which is one third of exactly 28160 which is, for example, the mile of 5280 x 5.333 which is one third of 16*

*Otherwise the Plato-Atlantis area minus the Central Shrine of 4561920000 divided by 400 = 11404800 It is meaningless attempting to elucidate the entire units produced given that the majority are recognized to the reader, hence only in certain areas will I elucidate Likewise the 218. 1818 being the 117.8181 x 1.851851 which multiplied by 0.64 = 1.185185, the 117.8181 x 220 = 25920, which is the Platonic Precession cycle, the 220 x 24 = 5280, the modern-day mile*

*The above produced 236 x 46656 = 11010816 that is 10368 x 1062, which is 162 x 6. 555, which multiplied by 27 = 177, this 177 x 1.333 = 236 Likewise the 177 divided by the above 117.8181 = 1.5023148148 which multiplied by 239760 = 360195, this divided by the GP “top platform” perimeter of 2288 subsequently multiplied by 6656 {26 x 256} obtains: 1047840 this being the 236 x 4440 which is 6.666 x 666*

*As to the utilised 239760 there are numerous possibilities: for example we perceive a resemblance to 20736 in addition to 20736 is 2 x 10368, the end PWS member, otherwise 20736 is 54 x 384, the first PWS member Therefore: 239760 ÷ 20736 = 11.5625 this multiplied by 3.2 = 37 a number of significance to early Christianity in view of the fact that: 37 x 18 = 666, furthermore 37 x 40 = 1480 Gem Jesus, in addition to 1480 is Gem: Son of the Cosmos Otherwise 37 x 64 = 2368 Gem Jesus Christ*

*Alternatively the 239760 is 2.775 x 86400 the seconds in 24 hours, subsequently 2.775 x 13. 333 = 37 On the other hand 239760 is 25920 x 9.25 subsequently 9.25 x 4 = 37 etc In that case 207936 plus 31824 = 239760, the 207936 being the end PWS term 10368 x 20.0555 that multiplied by 86400 = 1732800, which is the Platonic Precession cycle 25920 x 66.851851. This being the musical scale Pythagorean Minor Third: {32:27} of 1.185185 x 56.40625, which multiplied by the Comma component 524288 = 29573120, which is the 207936 x 142.222 which is the FP component 256 ÷ 1.8*

*Furthermore the 31824 is, purely as an example, the Grand Gallery sloping roof line length of 1836 x 17. 333 in addition 17.333 x 0.75 = 13 that multiplied by 176 = 2288, the GP “top platform” perimeter. With regard to the employed, 176, for example there are 1760 yards in one mile of 5280 or else 176 x 2.25 = 396, as above*

*The square yards in one acre: 4840, the 18th PWS member 2304, Gematria: Only-begotten son 1176 The 22nd PWS member: 3456 added to exactly 0.9999 = 3456.9999 This 3456.9999 ÷ 2304 = 1.500433984375 that added to 0.1176 will obtain a tolerable Phi of exactly 1.618033984375*

*The 3456.9999 added to 1383.0001 = 4840 The 1383.0001 minus 1037 = 346.0001 this added to 17.9999 = 364 the Maya temple steps {91 on all 4 sides} Or 346.0001 added to 18.9999 = 365 Abraxas, Mithras, Neilos {Nile} and so forth I trust the method will be comprehensible to the reader, obviously no affront to the intelligence of the reader, it possibly will my awry modus operandi that is not comprehensible, nonetheless here being the calculations, nothing ventured, nothing gained, I assume*

*Until the next essay*

*Copyright © 2006 Derek. A. Skhane All Rights Reserved*