Gnosis

Echoes of knowledge



Ahmes with the Rhind Papyrus fraction

With reference to the fraction 256:81 that produces a “Pi” approximation of 256 ÷ 81 = 3.160493827 the Egyptian scribe: Ahmes wrote upon the Rhind Papyrus {circa 1650 B.C.E}

“Cut off 1/9th.of a diameter and construct a square upon the remainder, this has the same area as the circle”

The Rhind Papyrus factor 256:81, as well as the mathematical association to an assortment of units of measure, will be examined, the 256 ÷ 81 obtains a  “Pi” approximation of: 3.160493827 the ratio 256:81 is the equivalent to 768 ÷ 243 in view of the fact that 243 is 3 x 81 furthermore 768 is 3 x 256 Hence the Rhind Papyrus 3.160493827 is three times the musical scale: the Pythagorean Limma {256:243} I denote the Pythagorean Limma as FP {Fraction of Plato} seeing as it is within Timaeus of Plato wherein Plato alludes to a series of “numbers” for my part, this series ought to contain 36 numbers; moreover I denote the series as PWS {Plato World Series} it is deemed the World-Soul via Plato

Within Timaeus, Plato describes the method via which the Creator fashioned this World-Soul, subsequent to the formation, a fraction being surplus in the ratio 256:243, this, as indicated, is the musical scale: the Pythagorean Limma that I denote as the FP {Fraction of Plato} Another oft times overlooked fraction is the Comma of Pythagoras {531441 ÷ 524288} that I denote as Comma, The square root of the Comma component: 531441 is 729 in addition to 729 x FP = 768 this is the 6th PWS member {we observe 768 prior}

It follows that: FP x FP x Comma = 1.125 which, for example, is, 9 ÷ 8, likewise the Comma component: 531441 is the FP component 243 x 2187, this is the 17th PWS member similarly tother Comma component: 524288 is the FP component 256 x 2048 this is the 16th PWS member, with reference to the Comma, the celebrated author Robert Temple within his stimulating book: “The Sirius Mystery” maintains:

"A value of the Comma of Pythagoras…appears in the form of an arithmetical fraction preserved in the ancient Greek Pythagorean treatise Katatome˜ Kanonos"

In addition to within: the Dialogues of Plato: The Republic Book 1X… there is a paragraph wherein the number 729 is clearly referred to

“Yes the mathematicians will easily do the sum…the multiplication is complete, living 729 times more pleasantly…”

The square root of the Rhind Papyrus 3.160493827 is 1.777

Then 3.160493827 x 531441 = 1679616 the square root of this is 1296 the 11th PWS member moreover 1296 is the aforementioned 729 x 1.777  apart from being the square root of the Rhind Papyrus 3.160493827 the 1.777 is 1.805996472663139329 x 0.984375, this is the Eye of Horus fraction {63:64} the 1.805996472663139329 x 2551.5 = 4608 which is the 26th PWS member

Hence the 1679616 is 2551.5 x 658.285714 the very last PWS member: 10368 ÷ 658.285714 = 15.75 which is 10 x 1.575, the GP Ratio: 756 ÷ 480 = 1.575 Hence the interconnections ought to be clear, given that the 1679616 is 768 x 2187 that is the prior 1296 x 1.6875 that multiplied by 256 = 432, hence 1679616 ÷ 524288 x FP x 256 = 864 this is the 7th PWS member so on and so forth

As indicated, the Egyptian scribe: Ahmes wrote

“Cut off 1/9th.of a diameter and construct a square upon the remainder, this has the same area as the circle”

The Great Pyramid of Giza denoted as: GP, this Ahmes statement entices the division of both 9 by 8 and 8 by 9; likewise there are numerous interconnections, a number of the products being A circle of 756 diameter will have a radius of 378 As a result 756 divided by 9 = 84, subsequently 756 minus 84 = 672 then 672 x 672 = 451584 this is 378 x 378 x 3.160493827 the Rhind Papyrus  fraction {256 ÷ 81}, employing the GP base side length of 756 as the side of a cube, in that case 756 x 756 x 756 = 432081216 that divided by the 451584 = 956.8125 additionally this multiplied by the 3.160493827 = 3024, which is the GP base perimeter {756 x 4}

We will probe further {1} 9 ÷ 8 = 1.125 subsequently {2} 8 ÷ 9 = 0.888, the pleasing result being the FP x FP x Comma = 1.125 that multiplied by 0.888 = 1 {One} As a result we divide the Rhind  by 9 subsequently track the progression regarding the outcome in addition to the promising interconnections  for this reason the Rhind 3.160493827 ÷ 9 = 0.3511659807956 … subsequently 3.160493827 minus 0.3511659807956… = 2.8093278463… it follows that a square of this side length obtains: 2.8093278463…x 2.8093278463… = 7.892322948361

This 7.892322948361…x 2839887.84375 = 22413312 this we observe below, the 2839887.84375 multiplied by the Rhind {256:243} component, namely: 256 = 727011288 which is exactly 119574.225 Sea miles of 6080, this 119574.225 x 35.555 = 4251528 which multiplied by the 0.3511659807956… = 1492992, this is 2048 x 729 this, as we recognize, is the square root of the Comma component: 531441, the 35.555 x 57.6 = 2048 this is the 16th PWS member Subsequently 0.3511659807956… x 0.3511659807956… = 0.123317546068…the 5th PWS member is 576, the Gem: Eagle, Pneuma {Breath} is 576, the GP {Great Pyramid of Giza} height is 5760 {480 x 12}

Consequently a square of 2 x 2 ÷ 0.123317546068 = 32.43658447265625 this multiplied by 16384 = 531441, a Comma {531441:524288} component, the 16384 is, for example: the Rhind 3.160493827 x 5184 this is the 27th PWS member The 0.123317546068… x 4094527574016 = 504927092736 this is 11591531.05454 x 43560, the square feet in one modern-day acre, the 11591531.05454 divided by the Egyptian foot of 1.14545 = 10119590.603174, which is 3201901.714285 x 3.160493827

The 3201901.714285 x 7 = 22413312 this for example, is the Comma component 524288 x 42.75 that multiplied by 44 = 1881 The 4094527574016 divided by the cubic inches in one cubic yard: 46656 = 87759936, which again divided by 46656 = 1881, this we are familiar with as 19 x 99 otherwise 6080 ÷ 1881 = 3.2323. This means that the 22413312 is 589824 x 38, which is twice 19, etc

Nonetheless, the Comma component 524288 ÷ 0.888 = 589824, this divided by the GP base perimeter  of 3024 obtains 195.047619 this multiplied by 53.15625 = 10368, the final term of PWS, likewise the 195.047619 is the Rhind  3.160493827 x 61.714285 that multiplied by 1400 = 86400 the seconds in 24 hours, the 7th PWS member is 864 The 53.15625 x FP = 56 {Aubrey holes Stonehenge} the10368 is 5000 x 2.0736, a unit of measure evidently attributed to Sir Isaac Newton likewise 10368 ÷ 54 = 192 Gem: Mary then 54 multiplied by the GP intended height of: 480 = 25920 the Platonic Precession

Gematria values denoted as: Gem the Great Pyramid of Giza denoted as: GP

At a perpendicular height of 449.735449 modern-day feet from the GP base I determined the GP side length to be 47.666 modern-day feet, hence a perimeter of 47.666 x 4 = 2288. This height I dub the GP “top platform” subsequently the vertical measurement from the GP “top platform” to the, when complete, GP apex with the crowning glory, the Pyramidion in place, will be 30.264550 {modern day feet} this divided by the 0.3511659807956…= 86.18303571428 which is the Schooldays Pi {22 ÷ 7} of 3.142857 multiplied by exactly 27.421875, that multiplied by the FP = 28.888. This is the 8 ÷ 9 produced: 0.888 x 32.5 this multiplied by 70.4 = 2288 John Michell mentioned a figure of 7.04 with reference to the Stonehenge lintel pillars width, furthermore 7.04 x 450 = 3168 Gem Lord Jesus Christ

Therefore the Rhind Papyrus fraction: 3.160493827 ÷ 9 = 0.3511659807956…

The 0.3511659807956… multiplied by the Gallery floor line length of 1881 = 660.543209876 this is the GP entire “missing” top section height of 30.264550 x 21.8256410 which is the Rhind 3.160493827 x 6.905769230 this multiplied by Gem Tree of Life 1625 obtains exactly 11221.875, this 11221.875 is the 0.3511659807956...x 31956.04248046875 that multiplied by the FP = 33665.625 which is the Gallery 1881 x 17.8977272 which is the Egyptian cubit of 1.71818 x 10.41666 this multiplied by 0.096 = 1

Area of a circle of 2 units’ radius

As we observe prior:

3.160493827 ÷ 9 = 0.3511659807956… subsequently 3.160493827 minus 0.3511659807956… = 2.8093278463… in that case a square of this side length obtains: 2.8093278463…x 2.8093278463… = 7.892322948361…”

The Rhind x 2 x 2 = 12.641975308 this divided by the 7.892322948361… = 1.601806640625 that multiplied by 0.6328125 = 1.0136432647705078125, this is the Comma of Pythagoras {531441:524288} the 0.6328125 x 128 = 81 in other words the 0.6328125 is 2 ÷ Rhind

Otherwise the Schooldays Pi {22 ÷ 7} of 3.142857 x 2 x 2 = 12.571428 ÷ 7.892322948361…= 1.5928679874965122767857142 that multiplied by 723.2237756316… = 1152, the longer value Egyptian foot is 1.152 The 723.2237756316… x 7611.78515625 = 5505024 which is 267.3 x 20594.927048260381593714 this divided by the 12.641975308 = 1629.0909 which is 1422.222 Egyptian feet of 1.14545, we will observe this 1422.222 another time, presently, the 267.3 ÷ 2592 = 0.103125 that multiplied by 6400 = 660, the modern-day furlong

This 20594.927048260381593714 ÷ 723.2237756316… = 28.4765625 this multiplied by 25.6 = 729 which is the square root of 531441, a Comma component {531441:524288} The 723.2237756316…x 1542655.125 = 1115684864 this is exactly 183500.8 Sea miles of 6080 and 183500.8 divided by the 1422.222 = 129.024 that divided by the Roman furlong of 608.256 = 0.2121 that multiplied by 15.238095 = 3.2323 {6080 ÷ 1881} the 15.238095 divided by the Rhind = 4.82142857 which multiplied by the GP base perimeter of 3024 = 14580 which is 3 x 4860, the 3rd PWS member is 486

The 7611.78515625 x 202.666 = 1542655.125 this multiplied by 9.98872123151…= 15409152 that divided by the Rhind = 4875552 this is 1881 x 2592 the 9.98872123151… x 52488 = 524288 a Comma component {531441:524288}, the 202.666 x 30 = 6080 the “Sea” mile and 52488 divided by the last PWS member: 10368 = 5.0625 that multiplied by 256 = 1296, the 11th PWS member

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Musical scales connections:

Comma x FP = 1.06787109375 {Exactly}

Note......Ratio

B# …531441:524288 = 1.0136432647705078125

E#....177147:131072 = 1.35152435302734375 ÷ 1.06787109375 = 1.265625

A#....59049:32768 = 1.802032470703125 ÷ 1.06787109375 = 1.6875

D#...19683:16384 = 1.20135498046875 ÷ 1.06787109375 = 1.125

G#...6561:4096 = 1.601806640625 ÷ 1.06787109375 = 1.5

C#...2187:2048 = 1.06787109375

F#....729:512 = 1.423828125 ÷ 1.06787109375 = 1.333

As an illustration: a reduced mile of 5.28 x 5.31441 = 28.0600848

This 28.0600848 divided by the E# produced: 1.35152435302734375 = 20.7618048 this is: 4.096 x 5.0688, the 24th PWS member is 4096, and a Greek mile is 5068.8

Eye of Horus

The name of the Eye of Horus was Oudjat {a Human and Falcons eye}, the assembly of gods charged Thot, {one spelling of} to reassemble the eye of Horus {The result of the devious deed completed by Seth}. The Oudjat symbolized the fractions of the Heqat, whilst an apprentice notified his Master that the fractions of the eye added to 63/64ths, the Master retorted the missing 1/64th can be conjured via Thot to whomsoever sought, furthermore acknowledged his protection. Study of scenes representing Osiris receiving the Eye of Horus on the Mound-Pyramid of Creation reveals the God Sokar positioned inside the Mound-Pyramid receiving the solar energy from the summit

The Eye of Horus fraction: 63 ÷ 64 = 0.984375, this multiplied by the FP component 256 obtains 252 and this multiplied by Gem: Son of man 2190 = 551880 which is 6364 x 86.719044… The Eye of Horus fraction: 63 ÷ 64 = 0.984375 divided by the Rhind 3.160493827 = 0.31146240234375 Nevertheless whilst we reverse the Eye of Horus fraction process as such: 63 ÷ 64 we obtain 1.015873

The 252 ÷ 0.31146240234375 = 809.086419753 this multiplied by the 864 within obtains: 699050.666 which is one third of 2097152, this, for example, divided by the British Admiralty, otherwise as I dub it: “Sea” mile of 6080 = 344.9263157894736842105 that multiplied by 1881 = 648806.4, which is Gem: Mary: 192 x 3379.2 that divided by the Eye of Horus fraction: 0.984375 = 3432.8380952 this divided by the Rhind 3.160493827 = 1086.1714285

This 1086.1714285 divided by the GP base side length of 756 = 1.436734693877… that multiplied by 0.7 = 1.00571428, this is an ancient unit of measure {7.04 ÷ 7} likewise it is the square root of 1.01146122448979… that multiplied by Gem: Founder of the City: 1225 = 1239.04 which is 7.04 x 176 one tenth of the yards in the modern-day mile Otherwise another ancient unit of measure, namely: 175 ÷ 176 = 0.99431818 x 1.00571428 = 1 {One}, hence 1.01146122448979… x 0.99431818 = 1.00571428 this can be obtained via divided exactly 1232 by 1225 Gem: Founder of the City, the 1232 is the 0.99431818 x 1239.04 that, obviously, divided by 1225 = 1.01146122448979…

As we observe prior: “551880 which is 6364 x 86.719044…”

Whilst we divide Gem: Abraxas, Mithras, Neilos: 365 by the 86.719044…we obtain 4.2089947 we subsequently multiply this 4.2089947 by 1881 x 1836 to obtain 14535830.571428. we multiply the 14535830.571428 by 42 to obtain 610504884, this is 6364 x 95931 {we examine both 1881 and 1836 presently} The 95931 is Gem: Weapons of god 665 x 144.2571428 this being the schooldays Pi of 3.142857 x 45.9 along with 45.9 x 40 = 1836, etc in addition to 1836 is 12 x 153 the amount of “fishes” landed via Simon Peter {Gem: 1925} upon the Sea of Tiberius {Galilee} otherwise 1836 is 1.5 x 1224, Gem: The Net, in addition to Gem: Divine Circle

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I perceive the terms: “Net” and “Circle” as somewhat telling, especially given that the NC {Numerical Canon} Earth mean circumference of 24883.2 ÷ 1224 = 20.32941176470588235, subsequently Gem: City of god: 882 ÷ 20.32941176470588235 = 43.38541666 this multiplied by 3.52653061224489… = 153, the 3.52653061224489… multiplied by Gem: Founder of the City: 1225 = 4320

As we observe prior: “hence 1.01146122448979…x 0.99431818 = 1.00571428” this 3.52653061224489… ÷ 1.01146122448979...then multiplied by Gem: Simon Peter 1925 = 6711.6477272 which is 6696.428571 Greek feet {441:440} of 1.0022727 The 6696.428571 divided by the Schooldays Pi {22 ÷ 7} of 3.142857 = 2130.68181 that divided by the Egyptian cubit of 1.71818 = 1240.079365

In that case Simon Peter 1925 ÷ 1240.079365 = 1.55232, afterwards Gem: Founder of the City: 1225 ÷ 1.55232 = 789.1414 that multiplied by 1881 = 1484375 which is the Sea mile of 6080 x 244.140625 that multiplied by 0.4096 = 100, the 24th PWS member is 4096 furthermore 4096 divided by the 11th member: 1296 = 3.160493827 the Rhind  I would assume it is obvious, the entire foregoing in addition to forthcoming are perfectly and remarkably interrelated, no matter whether the “number” is a Gematria value, otherwise an actual unit of measure, ancient and modern-day

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Presently we will observe: “Then 432432 ÷ 1422.222 = 304.05375”

The 304.05375 divided by the amount of acres in one square mile 640 = 0.475083984375 which multiplied by the FP = 0.5005 which multiplied by the diameter of the Sun: 864000 = 432432 We recognize the Eye of Horus fraction is derived via 64 ÷ 63. Consequently deduct from the 6364 a reversed 6364 moreover observe the outcome 6364 minus 4636 = 1728, cubic inches in one cubic foot. Otherwise 6364 minus the Sea mile of 6080 = 284 this being one of the Pythagorean “friendship” numbers, acknowledged within mathematics as amicable numbers

Of a little interest here is the Maya number: 364, there being 91 steps on each side of the Maya temples and counting the top platform itself we obtain: 364 plus 1 = 365 Then 8456 minus 6364 minus 1728 = 364, subsequently 8.456 minus a reduced Comma component: 5.31441 = 3.14159... a tolerable “Pi” The 284 in addition to 220 are amicable, in view of the fact that each is equal to the sum of the divisors of the other

Another amicable pair being 1184 and 1210, moreover the above 68.4 x 88.888 = 6080 the “Sea” mile the 1184 x 2 = 2368 Gem: Jesus Christ, the 1210 x 36 = 43560, the square feet in one modern-day acre The number 19 is a prime, likewise Gem: Eve is 19, in addition 19 relating to the Metonic cycle, and of interest is that 19 x 99 = 1881, however 1881 x 3.2323 = 6080  Hence the 3.2323 divided by the Rhind {256:81} = 1.022727 this, divided by the Greek foot {441:440} of 1.0022727 afterwards multiplied by Gem: Founder of the City: 1225 = 1250

Or the Greek Stade {600 ft.} of 601.3636 ÷ 1.022727 = 588 this is twice 294 Gem: Church, otherwise 588 x 2 = 1176 Gem: Only-begotten Son, or 588 x 1.5 = 882 Gem: City of god, the GP base perimeter of 3024 modern-day feet divided by 588 = 5.142857 one seventh of 36, subsequently 5.142857  x 1120 = 5760, the GP height {480 x 12 = 5760} the interconnections continue ceaselessly, I am persuaded the reader will perceive the numerous avenues to pursue.

Please bear in mind, as indicated prior, the FP {256:243} is one third of the Rhind Papyrus fraction {256:81} accordingly obviously wherever the FP is engaged, the Rhind is also implicated The FP x 1881 x 4 = 7926.518518 although this is exactly 6688 x 1.185185this is the musical scale: Pythagorean Minor Third {32:27} additionally the 6688 minus the Sea mile of 6080 = 608 We will obtain a tolerable Earth Equatorial circumference via: 7926.518518 x Pi = 24901.892346321229…

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

In that case 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 It follows that 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 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 ÷ 400 = 11404800

{A} 479001600 {=12!} ÷ 7926.518518 = 60430.2631578947368421052 this multiplied by the Roman cubit of 1.52064 = 91892.675368421052631578947 this multiplied by the 1881 = 172850122.368

{A1} This 172850122.368 is the NC Earth: radius: 20901888 x 8.26959375 that multiplied by the FP = 8.712, the square feet in one acre 43560 ÷ 8.712 = 5000

{B} a reduced Nineveh Constant: 19595520000 ÷ 7926.518518 = 2472147.129186602870813397 Then exactly 267187500 ÷ 1881 ÷ 5280 = 26.902548209366…

The 2472147.129186602870813397 ÷ 26.902548209366… = 91892.675368421052631578947 as within {A}

{B2} The {B} exact 267187500 ÷ 6080 = 43945.3125 that multiplied by Gem: Mary 192 = 8437500 which multiplied by 256 = 2160000000 Or 8437500 multiplied by the FP = 8888888.888 this 8888888.888 x 9 = 80000000 The Sea mile 6080 multiplied by the Land mile 5280 = 32102400 that divided by the 8888888.888 = 3.61152, this divided by the Roman furlong of 608.256 = 0.0059375 that multiplied by 1024000 = 6080 the 9th PWS member is 1024

{C} the GP base area of: 571536 ÷ 7926.518518 = 72.104291267942583732057416 this multiplied by the Greek mile of 5068.8 = 365482.2315789473684210526 that divided by the {A} 60430.263157894736842105 obtains exactly 6.048

{C1} the Platonic: 25920 ÷ 72.104291267942583732057416 = 359.4792978919… this multiplied by the Roman mile of 4838.4 = 1739304.634920 this is the 7926.518518 x 219.428571 one seventh of 1536 which is the 13th PWS member

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Lunar Month

A tolerable Synodic Month being: 29.5305902777, which is 1837038.96 ÷ 62208 As indicated the musical scale, the Pythagorean Limma {256:243} I denote as FP {Fraction of Plato} The 62208 being exactly 59049 x FP, the 59049 being the Platonic Precession cycle 25920 x 2.278125 that multiplied by the FP = 2.4, otherwise the FP {256:243} component 256 x 2.278125 = 583.2, which is 25920 x 0.0225 As observed prior, another ancient fraction being the Comma of Pythagoras {531441:524288} it follows that: FP x FP x Comma = 1.125 which is 50 x 0.0225

As indicated earlier, the square root of the Comma component: 531441 being 729 that multiplied by the FP = 768, the 6th member of PWS {Plato World Series} Likewise 531441 is the FP component 243 x 2187, the 17th PWS member Likewise 524288 is the FP component 256 x 2048, the 16th PWS member, the 62208 and 59049 likewise pertain to the musical scales, as we will observe below

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One octave being 1200 cents and the interval between two adjacent piano keys {an equally tempered semitone} equates as 100 cents The FP {256:243} is oft times named the Pythagorean minor semitone  Therefore the FP being exactly 102771.909133848380390625 ÷ 1139.0625 = 90.22499567306305 cents, moreover the 1139.0625 x FP = 1200 Or the 1139.0625 x 256 = 291600, the 20th PWS member being 2916 Since 256 ÷ 243 is the same as dividing the 4th PWS member 512 by 540 to obtain 0.9481481 that multiplied by 1.111 = FP, the 0.9481481 being FP x 0.9

Natural notes are sharpened by multiplying its frequency ratio by the FP {256:243} moreover a natural note is flattened by multiplying its ratio by 243:256 {a reversed FP}

Pairs of enharmonic notes are separated by a Pythagorean Comma {531441:524288}

Note...Ratio

B# …531441:524288 = 1.0136432647705078125

E#....177147:131072 = 1.35152435302734375

A#....59049:32768 = 1.802032470703125

D#...19683:16384 = 1.20135498046875

G#...6561:4096 = 1.601806640625

C#...2187:2048 = 1.06787109375

F#....729:512 = 1.423828125

The B# …1.0136432647705078125 x 256 = 259.49267578125, this is 259.2 x 1.001129150390625, that multiplied by 256 x 256 = 65610, the 30th PWS member being 6561.Hence, it follows that 6561 is the 19th PWS member 2592 x 2.53125 that is 2 x 1.265625 which is the Pythagorean major third, then again, the square root of this 1.265625 is 1.125 furthermore the FP x FP x Comma = 1.125

The C#...1.06787109375 being the FP x Comma, the square root of the Comma {531441:524288} component 531441 being 729 and we observe 729 within:

F#....729:512 = 1.423828125 However, the 1.423828125 x FP = 1.5 that multiplied by 486 = 729, within the: D#... 19683:16384, the 16384 x 2 = 32768 The Comma component 524288 minus 32768 = 491520, in addition to, the Plato Atlantis area, minus the central shrine, being 4561920000 square units which is 491520 x 9281.25 that multiplied by the FP component 256 = 2376000, this being 10 x 237600, the NC {Numerical Canon} distance with reference to Earth to Moon distance. The 9281.25 being the 1.423828125 x 6518.518518 that multiplied by exactly 0.81 = 5280, the mile

Equally the 491520 being the first PWS member 384 x 1280, or the end PWS member: 10368 ÷ 491520 = 0.02109375 that multiplied by 256 = 5.4 However the Pythagorean minor third {32:27} of 1.185185 x 5500 = 6518.518518

On the other hand, the  FP x 9281.25 = 9777.777 that multiplied by 54.3519204545 = 531441, the 54.3519204545 plus exactly 33.102625 = 87.45454, observed anon regarding the approximate Sun rotation periods, the employed 33.102625 multiplied by the FP, then by the Tetractys number total: 8436 = 294193.245234567901 {Please observe below}

The Tetractys being the Pythagorean model of the number 10, in addition to held the same significance in Hebrew mysticism as the Tree of Life, the Gem Tree of Life being: 1625, in that case 8436 ÷ 1625 = 5.191384615, the approximate Equatorial rotation period of the Sun being 26 days, Gem: YHWH being 26 Hence 360 {degrees} divided by 26 {days} obtains a period of 13.846153 that divided by the 5.191384615 = 2.667140825035561877 that multiplied by 32.78962424 regains the above 87.45454, the employed 32.78962424 x 33 = 1082.0576, this tail ends with 576 Gem Eagle, and commences with 1082, hinting at the lunar, Yin-Yang number 1080, the 5th PWS member being 576

Therefore: 1082.0576 ÷ 576 = 1.87857222 that multiplied by 1080 obtains exactly 2028.858 which is 1625 multiplied by exactly 1.248528, now we observe a reduced mile of 528 tail ending, hence: 5280 ÷ 1.248528 = 4228.9800469,  which is the 2.667140825035561877 x 1585.585585 that multiplied by tother Tetractys number, {and Mr. Nasty} 666 obtains exactly 1056000

The options being numerous, therefore to be brief, the 1056000 is the seconds in 24 hours: 86400 x 12.222 that multiplied by a reduced Platonic Precession {25920} of 259.2 = 3168, Gem Lord Jesus Christ, on the other hand, the mile of 5280 ÷ 12.222 = 432 The prior 294193.245234567901 divided by the Synodic Month above of 29.5305902777 = 9962.321865809 that divided by 27.2759333 = 365.24219883008...a tolerable Earth year, that multiplied by 68.1818 {360000 ÷ 5280} obtains a tolerable Earth Equatorial circumference of 24902.8771929...

The employed 27.2759333 multiplied by the FP {256:243} component: 243 will obtain 6628.0518 that multiplied by the above 12.222 = 81009.522, which is the Platonic 25920 x 3.12536736111 that multiplied by 8.7272 regains the 27.2759333 The 8.7272 multiplied by exactly 1.1 = 9.6, ample scope

Ostensible Pyramid Inch

A great deal is assumed with reference to the “Pyramid inch” nonetheless Flinders Petrie states the following

“…So although this theory agrees with one of the passages, it is evidently not the origin of this frequently-recurring height; and it is the more unlikely as there is no authentic example, that will bear examination, of the use or existence of any such measure as a “Pyramid inch,” or of a cubit of 25.025 British inches…”

One example to illustrate the way in which a purported “pyramid inch” of 1.00106 may well be “integrated” into the GP {Great Pyramid of Giza} being 1.00106 x 25 = 25.0265, deduct from this the above mentioned 25.025 to obtain 0.0015 which multiplied by 1224000 = 1836, Gem: Divine Circle is 1224 in addition to Gem: The Net is 1224

Likewise 0.0015 x 2016000 = 3024, the 2016000 being 4200 x 480, otherwise 2016000 is 77.777 x 25920 the Precession cycle, otherwise 2016000 is 23..333 x 86400 the seconds in 24 hours, otherwise 2016000 is 381.8181 x 5280 the mile, etc, the options truly are innumerable.

A further example of the “pyramid inch” allegedly 1.00106 British inches therefore 1.00106 multiplied by 1000000 = 1001060

The 1001060 ÷ 5280 = 189.5946969 which is 3.2323 x 58.655859375 which multiplied by the FP x 86400 = 5338986.666 which divided by the GP base perimeter 3024 then multiplied by the GP intended height 480 = 847458.201058 which divided by the Schooldays Pi {22 ÷ 7} of 3.142857 = 269645.791245 which is 1422.222 x  189.5946969 at commencement

Then 432432 ÷ 1422.222 = 304.05375 furthermore 2288 ÷ 304.05375 = 7.5249853…this being 7.142857 x FP, the 7.142857 x 1.4 = 10 The 304.05375 x 20 obtains a “Sea” mile of 6081.075 which is 6080 plus 1.075 and this 1.075 multiplied by the FP then by the Tetractys number 8436 = 9553.8567901234 this being the musical scale Pythagorean Minor Third: {32:27} of 1.185185 x 8061.0666, this is the 1422.222 x 5.6679375 The 5.6679375 being 5.0381666 x 1.125 {FP x FP x Comma}, as to the 5.0381666 this multiplied by the seconds in 24 hours 86400 = 435297.6 this being 68.4 x 6364 {observed prior}

The 25.2 Cubit

However, we move progress, since all depends upon the reader’s judgement as to the consistency re: Rutherford, Petrie, Taylor, Smyth, etc The 25.2 being a cubit of the Egyptians, Assyrians etc as may be verified in the GP research of Petrie since 25.2 x 120 = 3024, obviously 120 x 4 = 480 which is 25.2 x 19.047619 another ratio regarding ancient units of measure is 441:440 in that case 440 ÷ 441 = 0.997732…which multiplied by 19.0909 regains the 19.047619 this is the Rhind  x 6.0267857142

The lunar, Yin-Yang number: 1080 ÷ 6.0267857142 = 179.2 this multiplied by 16.875 = 3024, the GP base perimeter in addition to 16.875 x 256 = 4320 Then 19.2 ÷ 19.0909 = 1.00571428 this being the ratio 176:175, the 19.2 x 316.666 = 6080 the Sea mile, the 316.666 x 5.94 = 1881 the 5.94 x 72800 = 432432 The Schooldays Pi of 3.142857 multiplied by the 19.0909 = 60, alternatively the 19.0909 x 1881 = 35910 that divided by the modern-day mile of 5280 afterwards by the Egyptian cubit of 1.71818 = 3.958333, which multiplied by 480 = 1900 that multiplied by 0.99 = 1881

Simply for the reason that 25.2 x 19.0909 = 481.0909 this being 280 x 1.71818 according to Petrie there were conceivably, 280 cubits in the GP intended height, nonetheless he likewise maintains this is not definite nevertheless certain insist the intended height to be 481.0909 each to his-her own I postulate The modern day units are readily accessible as such: 5280 multiplied by the longer value Greek foot of 1.01376 afterwards divided by Gem Tree of Life: 1625 obtains the factor 3.2939401846153 that multiplied by the GP top platform perimeter of 2288 = 7536.5351424..., which is the Roman mile of 4838.4 x 1.557650285714 which multiplied by 3107.24431818 = 4840; this is the amount of square yards in one acre

The 3107.24431818 is 1.71818 x 1808.449074074 which multiplied by Mr. malicious: 666 x 360 = 433593750, this x FP x 0.6935351351 = 316800000, Gem Lord Jesus Christ is 3168 however 3168 divided by the Rhind {256:81} will obtain: 1002.375 that multiplied by the Comma {531441:524288} component, namely 524288 = 525533184 which divided by the Roman mile of 4838.4 = 108617.142857 one seventh of 760320

This 760320, for example, is the very last PWS member: 10368 x 73.333 this multiplied by 72 = 5280, the mile, hence 5280 is 3168 x 1.666 in addition to Gem: Jesus Christ: 2368 ÷ 1.666 = 1420.8 which is 666 x 2.1333 although one thirtieth of 64 the 73.333 ÷ 2.1333 = 34.375, the 13th PWS member: 1536 x 34.375 = 52800, there are far too numerous options to indicate in one fell swoop, as it were, in view of the fact that all the “numbers” are faultlessly interrelated

The 0.6935351351 x 2368 = 1642.2912 which divided by the first numeral of PWS: 384 obtains 4.2768 which multiplied by 3.2323 {6080 ÷ 1881} = 13.824 A few multiples of the 13.824 being: 6912, 20736, 4838.4, 608256, 96768, 152064, 165888, 76032, 131383296, 25920, 86400, 479001600 {12!}, 91445760 etc. The Gem: 2368 being Jesus Christ however 2368 ÷ 5280 = 0.44848 that multiplied by 3300 = 1480 Gem: Jesus

Any person can cook the book of number to match the desired outcome, however there is no necessity, for the figure above of 432432 divided by 480 then by the GP top platform perimeter of 2288 obtains 0.39375 which multiplied by the FP component 256 reduced to 2.56 = 1.008 which multiplied by 3000 = 3024 then divide 101376 by 1.008 to obtain 100571.428571 that is 100000 x 1.00571428 as illustrated prior

The Year Constant

Likewise, I possess a good quality calculator that imparts well over 100 scientific constants; the constant for the year is presented as 31556926, which divided by 86400 seconds, will produce a year of 365.242199074074. Multiply this by 1881 to produce 687020.576458333 which is the Sea mile of 6080 x 112.996805…Dividing the GP perimeter of 3024 by this 112.996805... = 26.7618185…which multiplied by the 31556926 = 844520727.2727 which is 215040000 x 3.92727

The approximate Sun Polar rotation period being 37 days hence: 360 {degrees} divided by 37 {days} obtains 9.729729 this divided by the above 3.92727 obtains 2.477477. Dividing the amount of square yards in one acre 4840 by the 2.477477 obtains 1953.6 this being 3.2323 x 604.395 dividing the 2288 by this 604.395 obtains 3.785603 this being the above 2.477477 x 1.5280073…whilst we multiply this  by 1881 x 660 we obtain 1896960 this being the Sea mile 6080 x 312, this is the Maya Third Sun

There are numerous options with regard to the employed 215040000, one example being that within is clearly visible Plato’s number 5040 therefore 215040000 ÷ 5040 = 42666.666 which multiplied by 0.12375 = 5280 subsequently 1 ÷  0.12375 = 8.0808 which is 2.5 x 3.2323 {6080 ÷ 1881} alternatively the 0.12375 x FP = 0.13037037 which multiplied by 7.776 = 1.01376, the 7.776 being 3 x 2.592, etc. My theorized Solar Year is 1881 x 6080 x 30 ÷ 299008 ÷ Pi = 365.242198918744…weigh this against the aforementioned calculator’s rendering of: 365.242199074074 fairly comparable I would declare

As settled at commencement I shall not employ ambiguous numerals such as almost…just about…within, or the ilk. I merely perform the calculations and accede to the reader’s logic in determining the validity .I am concerned at this time that the calculations, likewise my somewhat awry Modus Operandi, turn out to be rather complex from here on in {as if it hasn’t been so since commencement}. This quite obviously not intended as an affront to the reader’s intelligence, merely an appeal for the reader’s tolerance

Freidrich Hultsch

To provide the reader with an indication of the mathematical exercises to follow this snippet may assist Freidrich Hultsch seemingly underwent certain difficulty endeavouring to demonstrate how the Roman foot of approximately 296 millimetres might be derived from the Egyptian foot of 300 millimetres {Mr. appalling: 666 is 2.25 x 296}

{A1} 300 ÷ 296 = 1.0135135 denoted as M

{A2} M x 5209.6 = 5280

{A3} M x 4775.4666 = 4840 square yards in one acre

{A4} M x 9.547776 = 9.6768 this being the shorter value of the Roman foot times 10

{A5} M x 0.960233472 = 0.9732096 this being the longer value of the Roman foot, the 0.960233472 likewise being 0.98666 x 0.9732096, the 0.98666  likewise leads to a host {forgive the pun} of symbolic numbers such as 666…1480…2368…3168, etc

From {A2} the 5209.6 being 5138.888 x 1.01376, the 5138.888 multiplied by 1881 then divided by the Sea mile of 6080 = 1589.84375 which divided by that nasty chap: 666 afterwards multiplied by the 18th PWS member, namely: 2304 = 5500, this divided by 296 {Hultsch} then multiplied by 1881 = 34951.0135135 which is 34485 x 1.0135135 which obviously is M

The 34485 ÷ 4775.4666 in {A3} = 7.2212837837 the Sea mile 6080 ÷ 7.2212837837 = 841.9555 this is M x 830.729481481 which is 788.544 x FP The 788.544 is the longer value of the Greek foot:  1.01376 x  777.840909 this is the  296 x 2.627840909. Likewise the {A2} 5209.6 divided by the Greek Mile of 5068.8 = 1.02777, this multiplied by 288 = 296

Pi as 3.142857

There is a consideration that Pi as 3.142857 {22 ÷ 7} was employed in the construction of the GP, my favoured base perimeter of 3024 ÷ 3.142857 = 962.1818 which divided by 2 obtains 481.0909 which divided by the above 2.627840909 = 183.07459459 which is exactly 180.6336 x M {1.0135135} In other words 3024 ÷ 481.0909 = 6.285714 that multiplied by 70 = 440 that multiplied by 1.71818 = 756.several researchers favour a GP height of 481.0909, each to their own I say

As indicated prior, there is an ancient reference by the scribe Ahmes {Rhind Papyrus} that leads to the ratio 256:81, the division of 256 by 81 obtains the factor 3.160493827 whilst we divide 9952.380952 by this 3.160493827 we obtain 3148.99553571428 which multiplied by the FP x 0.567 = 1881 The GP base perimeter of 3024 ÷ 0.567 = 5333.333 which multiplied by 8.1675 = 43560 this is the amount of square feet in one acre. The 9952.380952 being the product of 418000 ÷ 42 , the 418000 being the Sea mile of 6080 x 68.75 and this multiplied by 76.8 = 5280 the mile, as ought to be fairly obvious 76.8 being one tenth of 768 the 6th PWS term

The 8.1675 ÷ 1.01376 x 2.56 = 20.625 seen prior, which several refer to as yet another cubit, however 20.625 x 57.6 = 1188, a very advantageous number as will be apparent presently, given that we have determined prior that 300 ÷ 296, {Hultsch} obtained M namely 1.0135135 therefore the 1188 ÷ 1.0135135 = 1172.16, which is 39.6 x 29.6

A few multiplies of the 29.6 being: 666, 888, 1480, 2368, the Gem {Gematria Value}: of these numbers in order being: 666... {Mr. Malevolent}... 888 Jesus ...1480 Son of the Cosmos... 2368 Jesus Christ, likewise the Maya “super number” 1366560 ÷ 29.6 = 46167.567567 which multiplied by 666 = 30747600

This 30747600 may be “worked” on by various means in this instance we employ 25920 as such 30747600 ÷ 25920 = 1186.25 which is 365 x 3.25 which multiplied by 704 = 2288 the GP top platform perimeter, the 704 pertaining to the Stonehenge lintel ring, the width of the pillars reputedly 7.04 feet {please examine “The Dimensions Of Paradise” by John Michell Likewise 704 x 4.5 = 3168 Gem: Lord Jesus Christ, however 3168 is 4.8 furlongs of 660 feet the Gem: Mithras…Neilos…Abraxas all being 365 on the other hand 365 x 6 = 2190, Gem:  Son of Man, likewise 2190 x 624 = 1366560,the Maya “super number”  the 624 being 2 x 312 this is the Maya Second Sun

Similarly the GP base side length {intended} is 756 feet, therefore 756 x 52.8 = 39916.8. Within “Secrets of The Great Pyramid” by the prominent author Peter Tompkins he refers to a measurement of 39916.8 kilometres as a reasonable approximation of Earths circumference as gleaned via the analysis of the data of Jomard This Jomard being one of Napoleons savants employed in the measuring of the GP, for Jomard established that, one second of arc at the latitude of the GP was equal to 0.3079 meters {Tompkins rounds this to 0.308}

Likewise 39916.8 x 12000 = 479001600 {12!}, the 39916.8 ÷ 432432 = 0.0923076 that multiplied by13 = 1.2 Please recall the prior factor of 1239.04 the 39916.8 ÷ 1239.04 = 32.21590909 that divided by 3.2323 then multiplied by the FP = 10.5 that multiplied by 72 = 756. Whilst we multiply the 39916.8 by the usual feet, metres factor 3.2808398… {1 ÷ 0.3048} we obtain 130960.62992…subsequently this  divided by 432432 = 0.302846…this multiplied by 9985.248 = 3024 the GP base perimeter As to the 9985.248 this is the GP 2288 x 4.3641818 this being the Egyptian cubit of 1.71818 x 2.54, it is merely a matter of then multiplying the 2.54 by 0.12 to obtain 0.3048

……………………………..

The Eye of Horus As 63:64 obtains 0.984375 or as 64:63 obtains 1.015873

Hence perceptibly: 1 ÷ 1.015873 = 0.984375 The GP Tan: 480 ÷ 378 = 1.269841 this is 1.25 x 1.015873 obviously 1.269841 is 0.984375 x 1.28999748047… that divided by 1.015873 = 1.269841

However the 1.28999748047… x 49228.003125 = 63504 which is 21 x 3024 the GP base perimeter, the 49228.003125 is the 1.25 x 39382.4025 that multiplied by 729 = 28709771.4225 This 28709771.4225 multiplied by the FP {256:243} will obtain 30245685.12 in view of the fact that the GP base perimeter of 3024 is within the first 4 numbers, furthermore the Plato-Magnesia favoured number 5040 is within the 63504

It follows that: 30245685.12 ÷ 63504 = 476.28, the Roman mile of 4838.4 ÷ 476.28 = 10.158730 obviously 10 x 1.015873

I mentioned the Plato-Magnesia favoured 5040 with 3024 given that 5040 ÷ 3024 = 1.666 one third of 5; this means the 63504 is 5040 x 12.6, which divided by the 1.666 = 7.56 Which means the 1.666 divided by the GP Tan of 1.269841 will obtain exactly 1.3125 The employed 729 is the square root of 531441 a Comma of Pythagoras component {531441:524288} furthermore 729 multiplied by the Pythagorean Limma {256:243} will obtain exactly 768 which is 756 x 1.015873 Otherwise 768 x 6.3 = 4838.4 the Roman mile

Accordingly at the present time we observe a mathematical correlation betwixt:

4838.4 The Roman mile, the Pythagorean Limma {256:243} the Comma of Pythagoras {531441:524288}, the Plato-Magnesia favoured 5040

The GP base perimeter of 3024, the GP Tan of 1.269841, the Eye of Horus as 63:64 obtains 0.984375 or as 64:63 obtains 1.015873

Supplementary interconnections

Gem Jesus: 888 ÷ 874.125 = 1.015873 The 874.125 is 555 x 1.575, this is the GP ratio: 756 ÷ 480 Otherwise 874.125 multiplied by the prior mentioned 729 = 637237.125 which divided by the Eye of Horus, as 0.984375 obtains exactly 647352 this tail ends with 352 one ninth of 3168 Gem Lord Jesus Christ in addition to 3168 is 0.6 x 5280 As a result 647352 ÷ 3168 = 204.34090

This 204.340909 divided by the Egyptian foot of 1.14545 = 178.39285714 this divided by the Schooldays Pi {22 ÷ 7} of 3.142857 = 56.7613636

This 56.7613636 divided by the Egyptian cubit of 1.71818 = 33.03571428, this divided by the 12 ÷ 7 produced: 1.714285 = 19.2708333

Gem: Founder of the City: 1225 divided by this 19.2708333 = 63.567567, due to the cyclic 567 in that case: Gem: Eagle, Pneuma {Breath} 5760 x 63.567567 = 366149.189189 that multiplied by Mr. Nasty: 666 will obtain exactly 243855360, this is exactly 240045120 x 1.015873 The 240045120 is exactly 165375000 shorter value Roman cubits of 1.45152 This 165375000 divided by the modern-day mile of 5280 = 31321.022727 this divided by the Greek foot {441:440} of 1.0022727 = 31250

Enigmatic Plato

Likewise numbers ought to be encoded within the writings of Plato etc; favourably we discover that within the dialogues of Plato he mentions {a few examples of many}

{A} Laws V1 {754}

“I would have the seven-and-thirty now, and in all future time, chosen to fulfil the following duties: Let them, in the first place, be the guardians of the law…”

 Why the number 37?

{B} Laws V {737}

“The number of our citizens shall be 5040…”

 Why the number 5040?

{C} the Republic 1X {587}

“Yes: the mathematician will easily do the sum, Or, if some person begins at the other end and measures the interval by which the king is parted from the tyrant in truth of pleasure, he will find him, when the multiplication is complete, living 729 times more pleasantly…”

Why the number 729?

We recognize 729 x 729 = 531441, a Comma component {531441:524288} Subsequently 754 minus 37 = 717 that plus 171 = 888, Gem: Jesus, that multiplied by 5.675675 = 5040 as in Laws V {737} In that case 5.675675 x 37 = 210 Then: 754 plus 37 = 791 that minus 197 = 594 that multiplied by 8.4848 = 5040

Then 37 ÷ 8.4848 = 4.360714285 that multiplied by 594 = 2590.26428571 the 594 being Gem: Mary: 192 x 3.09375 that multiplied by 5040 x 30720 = 479001600 {=12!} The 21st PWS member being 3072 in addition to 3072 is 729 x 4.21399176… this multiplied by the FP {256:243} component: 243 = 1024, the 9th PWS member However the Tetractys number total: 8436 x 4.21399176 = 35549.234567901 that multiplied by 405 = 14397440, this is Gem: Jesus Christ: 2368 x 6080, the Sea mile, otherwise 14397440 is 37 x 389120, which is 64 x 6080, etc

GP Volume

The GP volume: 756 x 756 x 480 ÷ 3 = 91445760, which is the 2590.26428571 x 35303.64083091…In that case 37 x 594 x 35303.64083091 = 775903418.1818 this multiplied by the modern-day mile of 5280 = 4096770048000 which is the GP base area {756 x 756} of 571536 x 7168000, which is the FP {256:243} multiplied by 6804000, which is the GP base perimeter of 3024 x 2250

Or the GP volume: 91445760 ÷ 6804000 = 13.44 which is 5040 ÷ 375 or the 594 ÷ 13.44 = 44.196428571 that multiplied by 114.03636 = 5040 The 114.03636 x 62857.142857 = 7168000 The 62857.142857 x 0.084 = 5280 The 0.084 x 60000 = 5040, which is 3024 x 1.666, which is one third of 5

The Atlantis of Plato

Via the instructions of Plato, the area of Atlantis, minus the central shrine being: 4561920000, this is the 775903418.1818 x 5.8794946…Subsequently 5.8794946… multiplied by 5040 afterwards by Gem Founder of the City: 1225 obtains exactly 36300000, which is the square feet in one acre: 43560 x 833.333, which is 100 ÷ 0.12 Otherwise 37 ÷ 5.8794946 x 594 x 5040 x 5280 = 99474697728, which is the GP base area {756 x 756} of 571536 multiplied by exactly 174048 which is the Atlantis: 4561920000 divided by 26210.70049641

Then 479001600 {=12!} divided by 26210.70049641... = 18275.04 exactly, which is 5040 x 3.626, which is 37 x 0.098 Ample scope, in view of the fact that a few multiples of 0.098 being: 294 {Church} 882 {City of god} 1176 {Only/begotten son} otherwise the GP base perimeter of 3024 ÷ 0.098 = 30857.142857, one seventh of 216000, hence a myriad options with regard to 0.098 And merely to close: 7 x 7 x 7 = 343 which is 0.098 x 3500, the interconnections by no means end

Until the next essay