Gnosis

Echoes of knowledge


We ended part {1} with:

 

On the other hand, 3 + 8 + 12 + 15 + 17 + 20 + 23 + 25 + 28 + 30 + 32 + 34 = 247

The PWS total from the first number 384 to the last number 10368 being 125606

Thus 125606 ÷ 247 = 508.526315789473684210 that multiplied by the aforementioned number 19 = 9662 that multiplied by the 0.94921875 = 9171.3515625, that multiplied by the Pythagorean Limma = 9662

 

Therefore to continue with:

Section Seven

With reference to the Comma of Pythagoras {531441:524288} of exactly 1.0136432647705078125 the Cents value being as follows

 

Exactly 28152.012461578788 ÷ 1200 = 23.46001038464899 Cents, the 28152.012461578788 x FP x FP = 31244.7338427751 which is the GP volume of 91445760 ÷ 2926.75752848973, that multiplied by the 28152.012461578788 obtains exactly 82394114.4140625, that multiplied by the FP obtains exactly 86802030

 

A fine number to employ being 54432, given that 23.46001038464899 x 54432 = 1276975.28525721382368 which is the 28152.012461578788 x 45.36, which is 25.92 x 1.75 {Please see 54432 below}

This 86802030 being, merely as an example, the seconds in 24 hours 86400 multiplied by exactly 1004.653125, that multiplied by 91022.222 regains the GP volume of 91445760, subsequently the employed 91022.222 being FP x 86400

Likewise the GP Tan 1.269841 multiplied by 19.4631197265236065185185 = 24.715072668601 this divided by Pythagorean Limma = 23.46001038464899

 

The employed 19.463119726523606518518 being the Pythagorean minor third {32:27} of 1.185185 multiplied by exactly 16.422007269254293, which multiplied by 1714.285714, regains the 28152.012461578788

The employed 1714.285714 being one seventh of 12000

Likewise 23.46001038464899 ÷16.422007269254293 = 1.428571 one seventh of 10

 

As stated, a fine number to employ throughout this exercise being exactly 544773.6, this being, for example 544320 + 453.6, the 544320 furthermore being the end PWS number 10368 x 52.5, obviously the 544320 being observed above albeit as 54432

 

Given that 544320 ÷ 28152.012461578788 = 19.3350298044

Then exactly 453.6 ÷ 19.3350298044 = 23.46001038464899

Otherwise 544773.6 ÷ 28152.012461578788 = 19.351142329

 

In that case 453.6 ÷ 19.35114232929 = 23.4404766541039 that multiplied by 1.0008333 = 23.46001038464899 the employed 1.0008333 multiplied by the 6th PWS number 768 obtains exactly 768.64 that multiplied by 708.75 = 544773.6

Subsequently the 708.75 being 1.125 x 630 that multiplied by the 7th  PWS number 864 = 544320, the 1.125 being FP x FP x Comma, nonetheless we continue via exploring dissimilar routes

 

The 24.715072668601 multiplied by the Tetractys total 8436 afterwards by the FP component 243 obtains exactly 50664613.78685411318784 which is the 28152.012461578788 multiplied by exactly 1799.68, tother Tetractys number 666, being the 1799.68 x 2.70222 which multiplied by exactly 2250 = 6080, the “Sea” mile, otherwise 2.70222 x 696.09375 = 1881, the Grand Gallery floor line length, or else the first PWS term 384 ÷ 2.70222 = 142.105263157894736842 that multiplied by 1881 = 267300

{Please see 142.105263157894736842 below}

 

Although the produced 267300, is, for example,

{A} the modern-day mile of 5280 x 50.625

{B} the seconds in 24 hours 86400 x 3.09375

{C} the Platonic Precession 25920 x 10.3125

{D} the square feet in one acre 43560 x 6.13636

{E} the cubic inches in one cubic yard, {likewise the “Whole” of Plato} 46656 x 5.7291666 etceteras

 

The foregoing products will produce numerous numbers, such as 50.625 x 256 = 12960, otherwise 50.625 x 860.444 = 43560, the 860.444 x 243 = 209088, which is the Numerical Canon Earth mean circumference of 24883.2 x 8.402777 this multiplied by the 27th PWS number 5184 = 43560

Otherwise 50.625 x 491.52 = 24883.2, the 491.52 x 9281250 = 4561920000, this being the Plato Atlantis area {minus the central shrine} the 9281250, merely as an example being, the 267300 x 34.7222 that multiplied by exactly 0.288 = 10

 

Furthermore the Atlantis 4561920000 is the 860.444 x 5301818.1818, which is the Egyptian cubit 1.71818 x 3085714.285714, which is the Atlantis central shrine area of 282857.142857 x 10.9090 this being 360 ÷ 33, the 282857.142857 being the Schooldays Pi {22 ÷ 7} of 3.142857 x 90000. Equally the 5301818.1818 x 17.6 = 93312000, which is the NC {Numerical Canon} distance Earth to Moon, therefore the Atlantis area 4561920000 being 93312000 x 48.888 that multiplied by the Lunar, Yin-Yang number 1080 = 52800, obviously the 17.6 x 300 = 5280

 

The Atlantis area being 38100 x 38100 x 3.142857 = 4562202857.142857 that minus 4561920000 = 282857.142857 which is no more that the GP base area {756 x 756} of 571536 ÷ 2.02058181 which is the 1.71818 x 1.176.

 

Gematria Only-begotten Son being 1176, likewise 1176 being 1.333 x 882, Gematria City of god, otherwise 1176 is 4 x 294, Gematria Church, also 1176 x 2.571428 = 3024, the GP base perimeter, the 2.571428 being one seventh of 18, furthermore the Egyptian cubit of 1.71818 being the GP base perimeter of 3024 divided by 1760 {yards in one mile}, accordingly it may perhaps be solicited, is the GP assimilated in the company of the Atlantis of Plato?

 

Section Eight

The 267300 is but an ostensible “sacred” cubit attributed to Sir Isaac Newton 2.0736 rearranged, as it were. Likewise 2.0736 being twice 1.0368 the end PWS term, albeit decreased, accordingly 267300 ÷ 10368 = 25.78125 that multiplied by the FP component 256 = 6600

Equally the Greek cubit of 1.52064, being the above 142.105263157894736842 multiplied by exactly 0.0107008, that multiplied by 10000000 = 107008, this being the 267300 x 0.4003292181069, that multiplied by exactly 2857971.6 obtains exactly 1144129.536, this being the Grand Gallery floor line length of 1881 x 608.256, which is the Roman furlong, the employed  2857971.6 being, for example, the Plato Whole of 46656 x 61.25625 that multiplied by 79.012345679 = 4840, the square yards in one acre, subsequently the 79.012345679 x 9 = 711.111 that multiplied another time by 9 = 6400

 

 

The GP Tan {480 ÷ 378} of 1.269841

It therefore follows that the GP Tan {480 ÷ 378} of 1.269841 will in addition acquire all the musical scales, seeing as 1.269841 is the Comma 1.0136432647705078125 x 1.25274967434304 which is The minor diatonic semitone 1.0666 x 1.17445281969660028, which is FP x FP x 1.058201

 

This 1.058201 being the Eye of Horus fraction {64:63} of 1.015873 x 1.041666 this multiplied by the FP components 256 x 243 = 64800, which is, for example, the first PWS number 384 x 168.75 which is 1.125 x 150, the 1.125 being FP x FP x Comma, in other words: 9 ÷ 8 = 1.125

 

Otherwise the Comma being the GP Tan of 1.269841 multiplied by exactly 0.79824407100677490234375, that multiplied by the FP component 256 = 204.350482177734375 which is the 1.058201 x  193.111205657958984375 that multiplied by the FP {256:243} obtains 203.4422578125, that multiplied by 1.00446428571 regains the 204.350482177734375 the 1.00446428571 being one seventh of exactly 7.03125 that multiplied by 256 = 1800, etc

 

On the other hand, the Comma multiplied by GP Tan {480 ÷ 378} of 1.269841 = 1.287166050502232142857 which is one seventh of 9.010162353515625, which multiplied twice by the FP = 10

Also the 9.010162353515625 x FP = 9.4921875 which is, obviously 10 x 0.94921875, which multiplied by 559872 = 531441, the Comma component, the 559872 being FP x 531441

 

Then again, within the {Part One}: PWS straightforward means chart we observe the employment of 0.888, on 16 occasions

The GP Tan 1.269841 ÷ 0.888 = 1.428571 not only one seventh of 10, the 1.428571 is the Schooldays Pi {22 ÷ 7} of 3.142857 x 0.4545 which is the Egyptian foot of 1.14545 x 0.396825, this multiplied by 20000 x Pi obtains an Earth Equatorial circumference of 24933.27502849…, that divided by 68.1818 {360000 ÷ 5280} obtains a “year” of 365.68803375119…

 

This “year” 365.68803375119… being Phi {Golden Ratio} multiplied by 226.007634137… this divided by the Comma = 222.9656546758 that divided by 3.2323 {6080 ÷ 1881} obtains 68.97999941…, a wee bit short of 68.98 and 68.98 is exactly 66.2208 x 1.041666 in view of the fact that actual Pi and Phi were employed, I consider the 68.97999941… as a tolerable outcome {Please see 66.2208 below}

 

The 0.396825 multiplied by exactly 47.88 = 19 and the 47.88 being the 1.041666 x 45.9648 that multiplied by the GP Tan 1.269841 obtains exactly 58.368 which is a reduced Platonic 25920 of 25.92 x 2.2518518 which is the Pythagorean minor third {32:27} of 1.185185 x 1.9, otherwise 2.2518518 x 2700 = 6080, the “Sea” mile

 

The 0.396825 multiplied by a reduced FP and Rhind Papyrus number {256} of 2.56 = 1.015873, the Eye of Horus fraction

 

On the other hand, the Arabian Hashimi foot of 1.064448 ÷ 0.396825 = 2.68240896 exactly, which, for example is the longer value Greek foot of 1.01376 multiplied by exactly 2.646, numerous options, Therefore I will finish at this point with 2.646 being the GP Tan 1.269841 multiplied by exactly 2.083725 that is the 0.94921875 x 2.1952 that is the 0.888 multiplied by exactly 2.4696

 

The GP Tan 1.269841 x 2.4696 = 3.136 that multiplied by exactly 390.625 = 1225 Gematria Founder of the City, and the 390.625 multiplied by the FP and Rhind Papyrus component 256 = 100000

Subsequently the 3000 ÷ 2673 product 1.122334455667789001 being the 0.396825 x 2.8282 that multiplied by the 2673 = 7560 the GP base side length increased tenfold

 

Equally observed presently being:

384 x 10368 = 3981312 ÷ 640 = 6220.8

 

The 6220.8 resembles the above 66.2208., hence 66.2208 divided by a reduced 62.208 = 1.064506172839 that multiplied by the Plato Whole 46656 {27 x 1728} obtains exactly 49665.6 that multiplied by the aforementioned 1.041666 obtains exactly 51735, which is the, likewise aforementioned: 0.396825 multiplied by exactly 130372.2, which is the Arabian Hashimi foot of 1.064448 x 122478.6931818 that multiplied by the yards in one mile 1760 obtains exactly 215562500 which is 202500000 x 1.064506172839, the 202500000 being the seconds in 24 hours 86400 x 2343.75 that multiplied by the FP component 256 = 600000

 

 Section Ten

Square root of Pi

As observed above: “seeing as 1.269841 is the Comma 1.0136432647705078125 x 1.25274967434304 which is the minor diatonic semitone: 1.0666 x 1.17445281969660028…”

 

Then again, the 1.17445281969660028… resembles the square root of Pi  which is 1.772453850905516 which is 1.17445281969660028… x 1.509174162793017… that multiplied by 1.07213204985924… = Phi {Golden Ratio}

Accordingly Pi ÷ 1.07213204985924… = 2.93022921383818… that multiplied by the Comma then by the FP component 256 will obtain 760.37301935126000092

 

Consequently via slight “manipulation” we discover that

{1} Exactly 760.37301935126 ÷ 256 ÷ Comma x 1.07213204985924… = 3.14159265358979323… which is Pi correct to 17 decimal places

 

{2} in that case Phi ÷ 1.07213204985924… = 1.509174162793017...

 

{3} subsequently 1.17445281969660028 x 1.509174162793017… = 1.772453850905516…obviously the square root of Pi, the entire a tad obvious I assume, nonetheless worth a mention

 

The exact 760.37301935126 multiplied by the FP, then by Gematria Lord Jesus Christ 3168 obtains 2537730.87110299041185185, which is the Pythagorean minor third {32:27} of 1.185185 multiplied by exactly 2141210.42249314816, this being, again merely as an example, the Roman furlong of 608.256 x 3520.2454599595370370 which is the GP Tan 1.269841 x 2772.19329971813541666

 

The GP top platform area being 47.666 x 47.666 = 2272.111 which is the 2772.19329971813541666 ÷ 1.22009583341…that multiplied by 623.20761904 regains the 760.37301935126

 

The employed 623.20761904 being the Rhind Papyrus 3.160493827 x 197.1867857142 one seventh of exactly 1380.3075, which is the above 1.17445281969660028 multiplied by exactly 1175.27709657726287841796875 that multiplied by the Comma component 524288 obtains exactly 616183678.4103

 

Within this 616183678.4103 we perceive the Grand Gallery roofline length of 1836, and 1836 being 1.5 x 1224, Gematria Divine Circle, likewise Gematria Founder of the City 1225 ÷ 1836 x 1224 = 816.666 which is the GP top platform side length {modern-day feet} of 47.666 x 17.132867 that multiplied by 176.50285714 = 3024, the GP base perimeter, in that case the 176.50285714 being one seventh of exactly 1235.52, which is Gematria City of god 882 x 1.4008163265306122448979591836735… that multiplied by 1225 = 1716 This 1716 being the GP Tan 1.269841 multiplied by exactly 1351.35

 

Illustrated prior, being that via multiplying the GP base side length number 756 {feet}, by the GP top platform side length number 572 {inches} we obtain 432432, this being the 1351.35 x 320

 

In that case the 616183678.4103 x 1225 = 754825006052.6175, this is, amongst numerous options, the 1175.27709657726287841796875 x 642252800, seeing as the modern-day mile of 5280 is tail ending, consequently 642252800 ÷ 5280 = 121638.7878 which is 3.2323 x 37632, which divided by the above 1.17445281969660028 then multiplied by the FP obtains exactly 33756.345, the 3.2323 being the British Admiralty “Sea” mile 6080 divided by the Grand Gallery floor line length of 1881

At this time, within the 33756.345 we observe the GP base side length of 756, within the digits, as a result 33756.345 ÷ 756 = 44.65125 that multiplied by the FP = 47.04 which is 4 x 11.76, which is a reduced Gematria Only-begotten Son 1176 {observed prior}

 

Currently whilst exploring PWS we utilise the maxim: 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”

 

Via multiplying the first term by the last term and so on so forth, in other words the first term 384 is multiplied by the last term 10368, and subsequently the second term 432 is multiplied by the penultimate term 9216 and so on, subsequently the products will be divided by the number of acres in one square mile namely 640, observe that which transpires via this manoeuvre

 

PWS

{1} 384 x 10368 = 3981312 ÷ 640 = 6220.8

{2} 432 x 9216 = 3981312 ÷ 640 = 6220.8

{3} 486 x 8748 = 4251528 ÷ 640 = 6643.0125

{4} 512 x 8192 = 4194304 ÷ 640 = 6553.6

{5} 576 x 7776 = 4478976 ÷ 640 = 6998.4

{6} 768 x 6912 = 5308416 ÷ 640 = 8294.4

{7} 864 x 6561 = 5668704 ÷ 640 = 8857.35

{8} 972 x 6144 = 5971968 ÷ 640 = 9331.2

{9} 1024 x 5832 = 5971968 ÷ 640 = 9331.2

{10} 1152 x 5184 = 5971968 ÷ 640 = 9331.2

{11} 1296 x 4608 = 5971968 ÷ 640 = 9331.2

{12} 1458 x 4374 = 6377292 ÷ 640 = 9964.51875

{13} 1536 x 4096 = 6291456 ÷ 640 = 9830.4

{14} 1728 x 3888 = 6718464 ÷ 640 = 10497.6

{15} 1944 x 3456 = 6718464 ÷ 640 = 10497.6

{16} 2048 x 3072 = 6291456 ÷ 640 = 9830.4

{17} 2187 x 2916 = 6377292 ÷ 640 = 9964.51875

{18} 2304 x 2592 = 5971968 ÷ 640 = 9331.2

{19} 2592 x 2304 = 5971968 ÷ 640 = 9331.2

{20} 2916 x 2187 = 6377292 ÷ 640 = 9964.51875

{21} 3072 x 2048 = 6291456 ÷ 640 = 9830.4

{22} 3456 x 1944 = 6718464 ÷ 640 = 10497.6

{23} 3888 x 1728 = 6718464 ÷ 640 = 10497.6

{24} 4096 x 1536 = 6291456 ÷ 640 = 9830.4

{25} 4374 x 1458 = 6377292 ÷ 640 = 9964.51875

{26} 4608 x 1296 = 5971968 ÷ 640 = 9331.2

{27} 5184 x 1152 = 5971968 ÷ 640 = 9331.2

{28} 5832 x 1024 = 5971968 ÷ 640 = 9331.2

{29} 6144 x 972 = 5971968 ÷ 640 = 9331.2

{30} 6561 x 864 = 5668704 ÷ 640 = 8857.35

{31} 6912 x 768 = 5308416 ÷ 640 = 8294.4

{32} 7776 x 576 = 4478976 ÷ 640 = 6998.4

{33} 8192 x 512 = 4194304 ÷ 640 = 6553.6

{34} 8748 x 486 = 4251528 ÷ 640 = 6643.0125

{35} 9216 x 432 = 3981312 ÷ 640 = 6220.8

{36} 10368 x 384 = 3981312 ÷ 640 = 6220.8

 

Apart from 640, numerous numbers may be employed simply since a few multiples of 640 are: 2560, 7040, 23680 524288, 91445760 etc

 

Likewise

{1} Gematria Lord Jesus Christ 3168 ÷ 640 = 4.95

{2} the modern-day mile 5280 ÷ 640 = 8.25

{3} cubic inches in one cubic yard 46656 ÷ 640 = 72.9

{4} seconds in 24 hours 86400 ÷ 640 = 135

{5} Platonic Precession 25920 ÷ 640 = 40.5

{6} GP base perimeter 3024 ÷ 640 = 4.725

 

Subsequently

{7} the above chart number  3981312 ÷ 46656 {the “Whole”} = 85.333 that multiplied by the FP {256:243} component 243 = 20736, which is the first PWS term 384 x 54, otherwise 20736 being the end PWS term 10368 x 2

 

{8} the above  chart number 4251528 ÷ 46656 = 91.125 an increased Qedet {ancient unit of measure} in that case 91.125 multiplied by tother FP component 256 = 23328, which is the Platonic 25920 minus 2592

 

{9} the above chart number 5971968 ÷ 46656 = 128 one half of 256

 

{10} the above chart number 5308416 ÷ 46656 = 113.777 which is the FP x 108, etceteras

 

As may be envisaged a veritable host of numbers adhere to 640, likewise a fine unit to unearth Ancient and modern day units of measure being 1.5625 {1000 ÷ 640} in view of the fact that 1.5625 x 1.0993636 = 1.71818 the Egyptian cubit. subsequently the 1.0993636 x 4400 = 4838.4 the Roman mile, given that all units are but multiples or divisors of each other, in a manner of speaking, it be reasonably observable as to the potential of the factor 1.5625, besides, a host of other factors may be employed, there being no one unit that covers the entire

 

For example

The classic major seventh 1.875 being  the product of  the PWS numbers 4860 ÷ 2592 = 1.875 subsequently 1.875 x 341.333 = 640 acres in one square mile, followed by 341.333 ÷ FP = 324, a few multiples of 324 being: 1296, 1944, 9072, 20736, 24300, 91445760, then again the 341.333 x 243 = 82944 which is 6.75 x 12288

 

Similarly various musical terms may be established such as 324 x 37.925925 = 12288, the 37.925925 x 13824 = 524288 a Comma component, alternatively whilst we divide the 1.875 by the 1.5625 {1000 ÷ 640} we obtain 1.2

The 13824 is {amongst many} 2.61818 miles of 5280 feet 13824 is 0.16 x 86400 seconds in 24 hours 13824 is 0.5333 x 25920 the Platonic cycle, likewise 13824 is 1.125 x 12288, the 13824 furthermore 12288 ought to appear recognizable to those musically inclined

 

Observe for example within the chart above the number 6220.8 this is 12288 x 0.50625 and this multiplied by 256 obtains 129.6 alternatively the 0.50625 x FP = 0.5333 and this multiplied by 1200 = 640 etc

 

We furthermore observe within the {Part One} Straightforward PWS chart that

{A} 2187 ÷ 0.94921875 = 2304

 

Hence the 0.50625 is 0.94921875 x 1.875 that I illustrated in the straightforward PWS chart above as the product of: 4860 ÷ 2592 = 1.875

Equally within the chart above we observe 9331.2, within various sections of this web site I mention the NC {Numerical Canon} mean distance from Earth to Sun being 93312000 miles, however this is 86400 x 1080, the Lunar, Yin-Yang number 1080, therefore 1080 x 220 = 237600 likewise mentioned as the NC mean distance from Earth to Moon

 

In addition to 237600 x 392.7272 = 93312000 the 392.7272 being 228.571428 x 1.71818 the Egyptian cubit, otherwise 392.7272 x 0.9777 = 384 the lead PWS term, or else 392.7272 x 1.629629 = 640 subsequently 1.629629 x 23.2727 regains the above 37.925925 in addition to 23.2727 x 11 = 256 an FP component, all number is linked., in view of the fact that the 11 x 480 = 5280 the mile

 

Subsequently the above 228.571428 x 231 = 52800, the reader will observe observations regarding this 231 within different essays within this site, 231 is hypothetically the GP base side length in metres, each to their own in this regard I presume, however 231 is merely 132 + 99 furthermore 99 x 19 = 1881, the Grand Gallery floor line length

 

Alternatively 123 + 108 = 231 subsequently the actual base side length {feet} of 756 minus the 132 = 624 this being twice 312 the Maya Third Sun, as regards 231 in that case 231 + 132 = 363 this minus the 312 = 51 that multiplied by 36 obtains 1836, the Grand Gallery roofline length

 

Likewise whilst we divide the 6220.8 by the Pythagorean minor third {32:27} of 1.185185 we obtain 5248.8 and this is 384 x 13.66875 which multiplied by the FP obtains 14.4, likewise seeing as the produced 5248.8 resembles the Comma component 524288 the following transpires: 524288 ÷ 5248.8 = 99.8872123152 subsequently this multiplied by the 6220.8 obtains 621378.370370 which happens to be 524288 x 1.185185, the combinations are endless

 

For instance whilst we divide the 99.8872123152 by the 13.66875 we obtain 7.3077064336 subsequently this multiplied by tother Comma component 531441 produces 3883614.814814 which happens to be 1.185185 x 3276800, at this time this ought to appear an obvious number to those to whom the musical scales are acknowledged, in view of the fact that 3276800 is 266.666 x 12288, likewise 3276800 is 5120 x 640 {the 4th term of PWS is 512}

 

I employed the foregoing methodology merely to observe the number 512 arise, since as illustrated; I employed 512 to obtain the Pythagorean Limma, {Fraction of Plato: 256:243} however within Plato’s Dialogues {Timaeus 31-37} the ratio is: 256:243, this therefore demonstrates the manner in which the whole ensemble PWS numbers can be “shuffled” In view of the fact that 512 is obviously twice 256 and 243 x 2 = 486 the 3rd PWS term

 

Conversely observe the minor diatonic semitone via my formulation that reads as: 8192 ÷ 7680 = 1.0666, subsequently the FP {256:243} divided by the 1.0666 = 0.987654320 that multiplied by 1.2 regains the 1.185185 {32:27} etc

 

The Cents value of the Pythagorean Limma: 90.224995673063 ÷ 2.222 = 40.60124805287835, subsequently whilst we multiply this factor by 2560 we obtain 103939.195015368576 which is 1152 x 90.224995673063 simply in view of the fact that 2560 ÷ 1152 = 2.222

 

If at all feasible, due to my out of kilter methodology, the reader is able to comprehend my logic, subsequently all is in good health, however no doubt I have further confused the issue, therefore I trust the following tables may assist in this regard, Not as a slight as to the readers intellect, merely my meagre attempt to illustrate the innumerable connections available, observe the numbers that emerge, PWS terms will arise as is obvious, nonetheless there are more of interest If so desired subsequently pass over this boring small piece, scroll down a page or two, furthermore observe perchance there be diverse items of interest within this essay

 

Section Eleven

PWS numbers in the company of Music, Length, etc

The “Whole” that Plato alludes to within Timaeus, I believe to be the Greek Lambda, the letter L, forming the pattern

 

 

 

1

 

 

 

 

 

2

 

3

 

 

 

4

 

 

 

9

 

8

 

 

 

 

 

27

 

 

 

 

 

 

 

Then 1 x 2 x 3 x 4 x 8 x 9 x 27 = 46656 which is for example the cubic inches in one cubic yard Subsequently via adding all PWS numbers from first: 384 up to and including the last: 10368 the total being 125606, this being the “Whole” 46656 x 2.692172496… that multiplied by the Comma of Pythagoras {531441:524288} component 531441 obtains exactly 1430730.84375

 

We currently espy within the digits 84375 a resemblance to the Tetractys number total  8436, accordingly 1430730.84375 divided by 8436 then multiplied by tother Tetractys number, 666 x 1881 obtains exactly 212463530.296875 that multiplied by the FP obtains exactly 223829892, the 666 obviously denotes that very badly behaved chap

 

This 223829892 being, amongst numerous options, the PWS total 125606 x 1782 which is the first PWS number 384 x 4.640625, that multiplied by the FP = 4.888 that multiplied by 1243.6363 = 6080, obviously

The “Sea” mile, the 1243.6363 being, again amongst numerous options, the Egyptian cubit {3024 ÷ 1760} of 1.71818 x 723.809523

 

Upon the Rhind Papyrus {circa 1650 BCE} an Egyptian scribe Ahmes, illustrates a Pi version of 256:81 that obtains 3.160493827 this multiplied by the 723.809523 = 2287.5955320399, on the other hand, 723.809523 ÷ 3.160493827 = 229.017857142 one seventh of 1603.125 which is 1.125 {FP x FP x Comma} multiplied by exactly 1425, this being 1881 ÷ 1.32, the 1881 being the floor line length of the magnificent Grand Gallery, literally “entombed” within the GP, moreover the 1.32 x 4000 = 5280, the mile

 

With reference to the 2287.5955320399, as aforementioned, whilst dividing the FP {Pythagorean Limma 256:243} by a reduced Gem Jesus Christ {2368} of 0.2368 we obtain 4.448893337782, which is the 2287.5955320399 ÷ 514.19428571 one seventh of exactly 3599.36 which is the Tetractys 8436 x 0.42666, one third of 1.28, which obviously is the FP and Rhind Papyrus component 256 ÷ 200

It therefore follows that 2287.5955320399 x 0.2368 = 541.70262198706 which is FP x 514.19428571 Furthermore the Rhind Papyrus fraction {256:81} is 3 x FP {256:243}

 

Likewise 2287.5955320399 x 4.448893337782 = 10177.26852203303

In that case the PWS total 125606 ÷ 10177.26852203303 = 12.3418184091 which multiplied by the Comma component 524288 afterwards by the GRAND GALLERY floor line length of 1881 obtains exactly 12171325172.662656, which is, amongst numerous options, the Plato “Whole” 46656 multiplied by exactly 260873.739126, this being Gem 2368 multiplied by exactly 110.16627496875 that multiplied by the FP = 116.059944 that is the above exact 1430730.84375 ÷ 12327.51623376 that multiplied by the GP “lost” Pyramidion number 10.01 obtains exactly 123398.4375

 

The 123398.4375 divided by Gem Founder of the City 1225 = 100.73341836734 that multiplied by 18.22632478 = 1836, the roofline length of the Grand Gallery furthermore the employed 18.22632478 x 10.01 x 360 = 65680.384 exactly, which is the 2287.5955320399 x 28.71153710526, that multiplied by the 1881 obtains exactly 54006.401295 that multiplied by Gem Divine Circle 1224 obtains exactly 66103835.18508, which is the 18.22632478 x 3626832.944109375, which is the 123398.4375 multiplied by exactly 29.3912388 exactly that multiplied by the 100.73341836734 = 2960.679954375 exactly

 

This 2960.679954375 divided by Gem City of god 882, then multiplied by Gem Founder of the City 1225 obtains exactly 4112.0554921875, which multiplied by the FP = 4332.042 exactly, which is the GP base perimeter of 3024 x 1.432553571428, which is the Egyptian unit {12 ÷ 7} of 1.714285 x 0.83565625 exactly

 

In that case the 54006.401295 ÷ 0.83565625 = 64627.53230769 that multiplied by Gem Tree of Life 1625 obtains exactly 105019740 which is the Plato “Whole” 46656 x 2250.9375 that multiplied by Gem Eagle, Pneuma {Breath} 576 obtains exactly 1296540 that divided by the end PWS term 10368, then multiplied by the first PWS term 384 obtains exactly 48020

This 48020 divided by an FP component 243 = 197.6131687242 that multiplied by Gem Lord Jesus Christ 3168 = 626038.518518 which is the Pythagorean minor third {32:27} of 1.185185 x 528220 that multiplied by 198.8181 regains the 105019740, the employed 198.8181 being one-eleventh of 2187, the 17th PWS term

 

The 2187 multiplied by the FP component 243 = 531441 a Comma component

The FP component 256 x 2048 = 524288 tother Comma component, the 2048 being the 16th PWS term Therefore 2187 x 2048 = 4478976 which is the Whole of 46656 x 96

Otherwise 4478976 being the PWS total 125606 x 35.6589334904 that multiplied by 1308.3958333 = 46656

The employed 1308.3958333 multiplied by the end PWS term 10368 obtains exactly 13565448 which is Gem Lord Jesus Christ 3168 x 4282.022727 which is the Greek foot {441:440} of 1.0022727 x 4272.31292517006

 

Subsequently Gem Simon Peter 1925 x 666 = 1282050 which is the 4272.31292517006 x 300.0833558906 which is the 35.6589334904 x 8.41537663966049 that multiplied by Gem Tree of Life 1625 then by the Whole 46656 obtains exactly 638020195.3125, that multiplied by the Pythagorean Limma {256:243} afterwards by the Platonic 25920 = 17422204800000 which is the 1282050 x 13589333.333, which is the modern-day mile of 5280 x 2573.7373 that multiplied by the floor line length of the GRAND GALLERY 1881 obtains exactly 4841200

This 4841200 is Gem Founder of the City 1225 x 3952, which is Gem Weapons of god 665 x 5.9428571 that multiplied by 4.375 = 26, Gem YHWH, the GP base perimeter of 3024 being the employed 4.375 x 691.2 one tenth of 6912, the 31st PWS number, etc

 

On the other hand, the 35.6589334904 x 4272.31292517006 x 1225 = 186624000, ample scope, since 186624000 is the Sea mile of 6080 x 30694.736842105263157894 that multiplied by the floor line length of the Grand Gallery1881 = 57736800, this being the Numerical Canon Earth mean circumference of 24883.2 x 2320.3125 that multiplied by the Pythagorean Limma obtains 2444.444 one ninth of 22000

 

Otherwise the above Therefore 2187 x 2048 = 4478976

Equates as:  4 + 478 + 976 = 1458 which is the 12th PWS number, likewise 1458 is the Grand Gallery1881 ÷ 1.2901234567 that multiplied by 4712.7272 = 6080, the Sea mile, the 4712.7272 x 5.5 = 25920 the Platonic cycle, in addition to the 19th PWS number being 2592, that sits well with the Grand Gallery floor line length of 1881 {19 x 99} in view of the fact that 2592 ÷ 1881 = 1.377990430622009569 that multiplied by Gem Weapons of god 665 = 916.3636, which is the Egyptian cubit {3024 ÷ 1760} of 1.71818 x 533.333, one third of 1600

 

On the other hand, the 916.3636 x 5.1428571 = 4712.7272, the 5.142857 being one seventh of 36, in that case the 1.377990430622009569 x 10.01 x 6080 = 83865.6 exactly that multiplied by the modern-day mile of 5280 = 442810368, which is the 4478976 x 98.864197530 which is the Pythagorean minor third {32:27} of 1.185185 x 83.41666, that multiplied by Gem Mary 192 = 16016 which is 10.01 x 1600. Likewise note the end PWS number 10368 tail-ending the 442810368, accordingly 442810368 ÷ 10368 = 42709.333 that multiplied by exactly 10.125 = 432432, the GP unit 756 x 572, the 10.125 x 24 = 243, the FP component

 

The interconnections incessant, seeing as the first PWS number 384 is twice 192 furthermore 192 x 31.666 = 6080, the Sea mile, in that case the 31.666 is the 83.41666 x 0.379620 that multiplied by Gem Tree of Life 1625 = 616.883116 that multiplied by 1881 = 1160357.142857 one seventh of 8122500, which is the 6080 x 1335.9375 that multiplied by tother FP component 256 = 342000, which is 1881 x 181.8181 one eleventh of 2000, on and on it goes, no end in sight 

 

Section Twelve

The Pythagorean Limma: 256 ÷ 243 = 1.053497942386… denoted as per norm as FP {Fraction of Plato}

Exactly 102771.9091338483234375 ÷ 1200 = 85.64325761154026953125, that multiplied by FP = 90.224995673063 Cents

 

Likewise as observed prior, a fine number to employ being 54432, in view of the fact that 54432 ÷ 102771.9091338483234375 = 0.5296388911

Then 1200 ÷ 0.5296388911… = 2265.69464580794363839285714 this being the 90.224995673063 x 25.11160714285, one seventh of exactly 175.78125 that multiplied by FP = 185.185185 that is 5000 ÷ 27

Obviously the 185.185185 being the Pythagorean minor third 1.185185  x 156.25 which is the 175.78125 ÷ 156.25 = 1.125 {FP x FP x Comma}

 

Prior to exploring the musical scales in the company of PWS numbers, the following may provide an assist The perpendicular height with regard to the GP top platform to the, when complete, GP Apex {with Pyramidion} being 30.264550 modern-day feet, via an intended height of 480 in the company of an intended base side length of 756 the GP Tan being 1.269841 {480 ÷ 378}

 

In that case 30.264550 multiplied by the Cents 90.224995673063 = 2730.61891666624529100 this being 1.269841 x 2150.3623968746681666 that multiplied by the seconds in 24 hours 86400 obtains exactly 185791311.0899713296, this, amongst numerous options, being the 102771.9091338483234375 x 1807.802469135 which is the most fitting, Eye of Horus fraction {64:63} of 1.015873 x 1779.555, which is, again amongst numerous options, the FP {Pythagorean Limma: 256:243} multiplied by exactly 1689.1875

 

Although, as I oft times state, I appear to blend inches, with feet, with volume, with time etc, I am no more than employing the numbers, and given that, as is my hypothesis, all number is totally integrated, it creates not the slightest difference whichever numbers are employed, nor the manner via which they are employed

Case in point being the GP base side length of 756 modern day feet, the side length of the GP top platform being 572, modern-day inches, however via disregarding the appellations feet and inches we discover that 756 x 572 = 432432, this being the 1779.555 x 243, a Pythagorean Limma component {256:243}

 

Alternatively since we perceive a rearranged Greek cubit of 1.52064 within the cyclic of 2730.61891666624529100

In that case 2730.61891666624529100 x 1.52064 = 4152.2883494393592393142857 that multiplied by an abridged 24.7506677005 regains the 102771.9091338483234375

The GP “lost” Pyramidion base side length being 9.85359375 modern-day feet, one method to obtain this being to divide exactly 10.01 by, as mentioned, the most fitting Eye of Horus fraction, 1.015873

 

We subsequently discover that the 24.7506677005 multiplied by 10.01 then by the modern-day mile of 5280 obtains exactly 1308142.08984375 that multiplied by the Pythagorean Limma obtains exactly 1378125, this being Gem Simon Peter 1925 x 715.9090 which is the Egyptian foot of 1.14545 x 625 exactly, which multiplied by exactly 0.0016 = 1

 

With regard to the total interconnectivity of number:

The 102771.9091338483234375 x FP x FP x 46656 = 5321686784.7868710912 exactly, this being exactly 58982400 x 90.224995673063 Cents

The 58982400 being 1200 x 49152 that multiplied by exactly 92812.5 = 4561920000, this being the area of the Plato Atlantis {minus the central shrine}

 

The 92812.5 being, for example, the ancient unit of measure, the Qedet of  9.1125 x 10185.185185 which is, again merely as an example, the Pythagorean minor third 1.185185 multiplied by exactly 8593.75, that multiplied by a Comma of Pythagoras {531441:524288} component, 524288 = 4505600000, which is the Atlantis 4561920000 x 0.987654320 that, for instance, multiplied by 8.1 = 8

We likewise find that via reversing the process as

{1} obviously via dividing the FP {Pythagorean Limma} divided by the Cents value 90.224995673063 we obtain 0.0116763423985

Accordingly 1200 ÷ 0.0116763423985 = 102771.9091338483234375

 

{2} subsequently the minor diatonic semitone 8192 ÷ 7680 = 1.0666 that obtains 111.731285269777 Cents enters the arena as

 

{3} 1.0666 ÷ 111.731285269777 = 0.00954671437002…

Consequently 1200 ÷ 0.00954671437002… = 125697.695928499125 exactly

Hence FP ÷ 1.0666 = 0.987654320 that multiplied by 81 = 80

 

Then again 1.0666 x 111.731285269777 = 119.1800376210954666 that divided by 100 = 1.191800376210954666 that multiplied twice by Phi {Golden Ratio} obtains 3.1201738927… which multiplied by 1.00686460485889616363 = 3.1415926535897932… hence Pi correct to 16 decimal places

 

The employed 1.00686460485889616363 multiplied by the seconds in 24 hours, 86400, then by the mile of 5280 obtains exactly 459323577.8197895586816 which is 479001600 {=12!} multiplied by 0.9589186712 that multiplied by exactly 1.05 = 1.00686460485889616363 etc

Otherwise 0.9589186712… x 1.0666 x 7 = 7.15992607899659494141 that multiplied by the Grand Gallery floor line length 1881 obtains exactly 13467.8209545925950848 which is the 1.00686460485889616363 multiplied by exactly 13376 which is 1.0666 x 12540 which is 5280 x 2.375 that multiplied by an increased FP {256:243} component 2560 = 6080, the Sea mile, etc

 

{4} the square root of two divided by 1200 = 0.00117851130197 that divided by the 0.00954671437002… = 0.123446796070231… the digits commence with nigh on a perfect 1234567 conversely the number 5 is absent

 

I illustrate within my essays that via dividing the FP by a reduced Gem Jesus Christ {2368} of 0.2368 we obtain 4.44889333778Thus 4.44889333778… x 5 = 22.244466688911… this is the 0.123446796070231 multiplied by 180.194767276

 

The Eye of Horus fraction 1.015873 x 376.21206304006 = 382.18368308832

The 376.21206304006 x 55.069875 x 1225 = 25379490.324257921… which is the 22.244466688911 x 1140934.98752701 which is the 382.18368308832 multiplied by exactly 2985.305333570068359375, that multiplied by a Comma component 524288 obtains exactly 1565159762.726784 exactly, which is the Plato Atlantis area {minus the central shrine} of 4561920000 x 0.3430923301431818

 

This 0.3430923301431818 multiplied by the modern-day furlong of 660 obtains exactly 226.4409378945 this being 0.0143521875 multiplied by exactly 15777.4512, which is the 55.069875 x 286.4987654320 that multiplied by the FP component 243 = 69619.2

 

Currently we perceive the 31st PWS term 6912 rearranged, in a manner of speaking, for this reason 69619.2 ÷ 6912 = 10.07222 which multiplied by Gem 2368 = 23851.0222, which is the 22.244466688911 multiplied by exactly 1072.222704. Whilst we multiply this by Gem Founder of the City 1225 we obtain exactly 1313472.8124 which is the Numerical Canon Earth mean circumference of 24883.2 x 52.78552647569444 which is the 22.244466688911 multiplied by exactly 2.37297334271484375 whilst this is multiplied by Gem Lord Jesus Christ 3168 we obtain exactly 7517.579549720625, which is the 1072.222704 multiplied by exactly 7.0112109375 that multiplied by the FP = 7.38629629

 

The cyclic 629 hints at 1296 which is the Platonic 25920 ÷ 20, likewise the 19th PWS term being 2592, accordingly 7.38629629 x 25920 = 191452.8, which is, again amongst numerous options, the GP base perimeter of 3024 x 63.3111 that is the 10.07222 x 6.285714 one seventh of 44 ample scope

The 382.18368308832, being the GP Tan 1.269841 x FP x 285.68603537104 that is the 180.194767276 x 1.585429142526 that multiplied by the Cents value of the FP, namely 90.224995673063 obtains exactly 143.0453375244140625

 

The 143.0453375244140625 multiplied by the Comma component 524288 obtains exactly 74996953.92 which is the Plato Atlantis area of 4561920000 x 0.01643977840909 this being the Egyptian foot of 1.14545 multiplied by exactly 0.0143521875

In that case: 1 ÷ 0.0143521875 = 69.675789840398 this being the 22.244466688911 x 3.132275 that multiplied by exactly 243243 = 761904

With regard to the 69.675789840398 this being the GP base perimeter of 3024 divided by exactly 43.401015

Or the GP intended height of 480 being the 69.675789840398 multiplied by exactly 6.88905

 

Section Thirteen

This route purposefully followed given that I required to illustrate further interconnectivity, the Rhind Papyrus fraction via the Egyptian scribe Ahmes, circa 1650 BCE, illustrates a “Pi” version of 256:81 this produces a cyclic, as such: 256 ÷ 81 = 3.160493827, the cyclic 160493827 to me at least, resembles the 761904

 

Thus 761904 ÷ 3.160493827 = 241071.1875 exactly that is the 22.244466688911 multiplied by exactly 10837.3552340625 that, for a second time, is the 22.244466688911 multiplied by exactly 487.1933045472796875 that multiplied by an FP component 256 obtains exactly 124721.4859641036 that is authentic Pi x 39700.0820019… which is 2.0406435211003 x 19454.6875 exactly that multiplied by 1.28 = 24902, which is a reasonable Earth Equatorial circumference

 

The 2.0406435211003 x 5.00849273006 x 19454.6875 x 360 = 71581525.952247246 exactly this being 761904 x 93.950846763 which is the 5.00849273006 x 18.7583075042… that multiplied by Pi obtains exactly 58.930961049, this being the 43.401015 x 1.35782448979… that multiplied by Gem Founder of the City 1225 obtains exactly 1663.335

 

This 1663.335 is the 6.88905 x 241.446208112874779541 that is the 761904 divided by 3155.58486486 that multiplied by that nasty chap 666 obtains exactly 2101619.52, which is the 241071.1875 x 8.71783783 that likewise multiplied by 666 obtains exactly 5806.08, this being numerous, consequently to finish at this point 5806.08 is the Greek mile of 5068.8 x 1.14545 which is the Egyptian foot etc

 

The musical scales continues employing PWS numbers

The Pythagorean Limma: 256 ÷ 243 = 1.053497942386

Exactly 102771.9091338483234375 ÷ 1200 = 85.64325761154026953125 that multiplied by 1.053497942386… = 90.224995673063: Cents that multiplied by 1152 = 103939.195015368576 this being: 256 x 406.0124805287835, this multiplied by 0. 222 x 90.224995673063

 

The 0.222 x 512 = 113.777 that multiplied by 486 = 55296

The 55296 divided by the Comma component 524288 = 0.10546875, which is the Pythagorean Limma multiplied by exactly 0.1001129150390625

Tother Comma component 531441 ÷ 0.1001129150390625 = 5308416 which is 162 x 32768

 

The 5308416 being the product of {a few examples}

{A} 25920 x 204.8

{B} 86400 x 61.44

{C} 46656 x 113.777

{D} 43560 x 121.8644 and this multiplied by 1.680555 = 204.8 the 1.680555 x 257314.9090 = 432432 {GP unit: 756 x 572}

 

Followed by: 257314.9090 multiplied by the Grand Gallery floor line length of 1881 = 484009344 which is the GP base perimeter of 3024 x 160056 which is the GP top platform perimeter of 2288 x 69.95454 which is the Egyptian cubit of 1.71818 x 40.714285 which multiplied by 46.2 = 1881

 

Furthermore 46.2 x 131.601731 = 6080, the British Admiralty, that as observed I dub the Sea mile, moreover 131.601731 x 1881 x 7 obtains exactly 1732800 this divided by 83.56481481 = 20736 which multiplied by the FP component 256 regains the commencing 5308416 in addition to the 20736 is 54 x 384 the lead PWS term.

The 83.56481481 multiplied by the FP component 243 = 20306.25 which is the 40.714285 x 498.75, this divided by the 1881 then multiplied by the 46.2 obtains 12.25, a reduced Gem Founder of the City 1225 etc {Please see 69.95454 and 46.2 below}

 

Likewise the 5308416 is the modern-day mile of 5280 x 1005.38181 and this is 113.777 x 8.83636 that multiplied by 342.222 = 3024,  the 342.222 x 6.6857142 = 2288 moreover the 6.6857142 x 17.5 = 117 that plus 1764 = 1881 the 1764 may be either: 864 + 900 otherwise 1080 + 684 otherwise 3024 minus 1260 = 1764 etc, the 684 x 8.888 = 6080, likewise 1764 having, to a large extent, mention within The Dimensions of Paradise author John Michell, my own preference as to 1764 being 5040 minus 3024 = 2016 this minus 252 = 1764

 

In any case we return to the above 5308416

The 5308416 is the square yards in one acre, 4840 x 1096.78016 this divided by 10.9090 = 100.538181, the 10.9090 being the Egyptian foot of 1.14545 x 9.523809 which is the Rhind Papyrus fraction {256:81} of 3.160493827 x 3.01339285714 one seventh of exactly 21.09375 that is the 4840 ÷ 229.4518518, which is the Pythagorean minor third of 1.185185 x 193.6 Otherwise the 10.9090 x 33 = 360, etc

 

The 5308416 is the GP base perimeter 3024 x 1755.428571 this divided by 17.460317 = 100.538181 the 17.460317 x 3024 = 52800 obviously 10 miles, the 1755.428571 is 1021.67800453 x 1.71818 {Egyptian Cubit} and the 102.167800453 x 0.375822727 = 384, the opening PWS number, moreover the 0.3758522727 x 28160 = 10584 and this multiplied by 8640 obtains 91445760 the GP volume

The 100.538181 being 1.71818 x 58.5142857 and this multiplied by 6.5625 = 384, the 6.5625 x 460.8 = 3024, the GP base perimeter the 460.8, this being 1.2 x 384, I consider it best to terminate this probably uninteresting section furthermore move progress

 

Prior to a little piece

199968640 ÷ 8019 = 24936.85496… this divided by 68.1818 obtains 365.74053955

Whereas the above observed produced 5308416 ÷ 46.2 ÷ 100 ÷ Pi = 365.74053956… as against the above 365.74053955

The 46.2 is likewise within the above section as: 69.95454 which is 1.71818 x 40.71428 which multiplied by the previously illustrated 46.2 = 1881 = Grand Gallery

The only four-digit numbers that are integral multiples of their reversals being 8712 and 9801 {G. H. Hardy: Mathematician’s Apology} and the above 8019 being 9801 minus 1782 in addition to 1782 plus 6930 = 8712, the 6930 being 46.2 x 150, then obviously: 8019 + 693 = 8712

 

Resume Musical scales in the midst of PWS numbers

Minor diatonic semitone: 8192 ÷ 7680 = 1.0666

Exactly 125697.695928499125 ÷ 1200 = 104.7480799404159375 that multiplied by 1.0666 = 111.731285269777 Cents that multiplied by 2592 = 289607.491419261984, this being exactly 3686.4 multiplied by 78.561059955311953125 that multiplied by the Pythagorean Limma {256:243} obtains 82.76391501464962962

 

The cyclic 962 hints at 1296 therefore: 82.76391501464962962 x 25920 = 2145240.6771797184 which is the exact 125697.695928499125 x 17.0666, which is 16 x 1.0666

The 1.0666 x 1.333 = 1.4222 this multiplied by 7680 x 8192 = 89478485.333 that divided by the Comma component 524288 = 170.666 this being exactly: 160 x 1.0666

 

As illustrated prior, the Whole, ambiguously via Plato being 46656

The exact 125697.695928499125 x 1.0666 x 1.0666 x 46656 = 6672556602.29979611136 exactly, which is the 111.731285269777 Cents, multiplied by exactly 59719680 which is 1200 x 49766.4

This 49766.4 being 49152 x 1.0125, this being the 1.0666 x 0.94921875, this is the Pythagorean Limma {256:243} in reverse, in a manner of speaking given that 243 ÷ 256 = 0.94921875

 

The minor whole tone: 3840 ÷ 3456 = 1.111

Exactly 196996.0091047848 ÷ 1200 = 64.163340920654 that multiplied by 1.111 = 182.40371213406 Cents that is 0.444 multiplied by exactly 410.408352301635

The 0.444 x 3840 = 1706.666 that multiplied by 3456 = 5898240

 

The 182.40371213406 x 3840 = 700430.2545947904 this being 1706.666 multiplied by exactly 410.408352301635 the Comma component  531441 ÷ 410.408352301635 = 1294.90785706 which is 1200 x 1.0790898808 that multiplied by the 182.40371213406 obtains exactly 196.83 That multiplied by the 1.111 = 218.7, the 17th PWS number being 2187

 

We see prior: “The 0.444 x 3840 = 1706.666 that multiplied by 3456 = 5898240”

The 5898240 being the Comma component 524288 x 11.25, this being The Pythagorean minor seventh: 1.777 x 6.328125

 

The Pythagorean minor seventh: being 996.089998269225 Cents that is 1.111 multiplied by exactly 896.4809984423025 the 1.111 x 3072 = 3413.333 that multiplied by 1728 = 5898240

The Comma component 531441 ÷ 896.4809984423025 = 592.80787983 which is 1200 x 0.4940065665301 that multiplied by the 996.089998269225 = 492.075 that is 2187 ÷ 4.444, obviously 4 x 1.111

 

The major whole tone: 3456 ÷ 3072 = 1.125 {FP x FP x Comma}

Then 217504.0018461589333 ÷ 1200 = 181.253334871799111 that multiplied by 1.125 = 203.910001730774 Cents

In that case 3840 ÷ 203.910001730774 = 18.831837415, this being the 1.125 x 16.73941103 that multiplied by the 203.910001730774 = 3413.333 one third of 10240 the 9th PWS number being 1024

 

The 203.910001730774 x 1728 = 352356.482990777472 exactly this being the 181.253334871799111 x 1944 the 15th PWS number, 1728 being the 14th

Worth a mention again, in view of the fact that we may employ it in the midst of all Musical Scales being 54432 since

 

{1} 217504.0018461589333 ÷ 54432 = 3.995884807

{2} 203.910001730774 ÷ 3.995884807 = 51.03 exactly which is the 1.125 x 45.36, etc

 

The Pythagorean minor seventh: Cents being 996.089998269225 that multiplied by 3072 = 3059988.4746830592 this being the above 3413.333 multiplied by exactly 896.4809984423025, that we likewise observe above

The 3413.333 being the Comma component 524288 = 0.00651041666 that multiplied by the 12th PWS number 1458 = 9.4921875 exactly, observed above as 10 x 0.94921875

 

The perfect fourth: Cents being 498.044999134612 that is the 0.94921875 x 524.68938180436, the 0.94921875 x 6912 = 6561 that multiplied by 5184 = 34012224

The 498.044999134612 x 1024 = 509998.079113842688 this being 972 x 524.68938180436

 

The 34012224 being the Comma component 524288 multiplied by exactly 64.8731689453125 this being the perfect fourth: 1.333 x 48.654876708984375

Tother Comma component 531441 ÷ 48.654876708984375 = 10922.666 which is 32768 x 0.333

 

We see prior:

{1} 217504.0018461589333 ÷ 54432 = 3.995884807

{2} 203.910001730774 ÷ 3.995884807 = 51.03 exactly which is the 1.125 x 45.36, etc

In addition to: “Then 217504.0018461589333 ÷ 1200 = 181.253334871799111”

 

The 203.910001730774 being the prior 0.94921875 x 214.818767255…

The 0.94921875 x 3456 = 3280.5 that multiplied by 3072 = 10077696

 

The 10077696 being the Comma component 531441 x 18.962962 this being the mile of 5280 divided by exactly 278.4375 that multiplied by the 214.818767255 = 59813.60050769370666 this being the 181.253334871799111 x 330

The 10077696 ÷ 524288 = 19.2216796875 which is 1.125 x 17.0859375 exactly

 

The Pythagorean minor third: 3072 ÷ 2592 = 1.185185

Exactly 297811.6848713849625 ÷ 1200 = 248.17640405948746875 that multiplied by 1.185185 = 294.134997403837 Cents

Then 3456 ÷ 294.134997403837 = 11.749706871008 which is 1.185185 x 9.91381517241 that multiplied by the 294.134997403837 = 2916 the 20th PWS number

 

The 294.134997403837 is 1.666 x 176.4809984423022 exactly, the 1.666 x 3072 = 5120 that multiplied by 2592 = 13271040

The 294.134997403837 x 1728 = 508265.275513830336 this being 2880 x 176.4809984423022

The 13271040 being the Comma component 524288 x 25.3125 which is 1.185185 x 21.357421875 that multiplied by the Pythagorean Limma = 22.5

The exact 297811.6848713849625 ÷ 54432 = 5.471261112422563244047619 which is the Rhind Papyrus fraction {256:81} of 3.160493827 x 1.7311412113 that multiplied by 3670016 = 6353315.9439228792 which is the 294.134997403837 x 21600

 

The employed 3670016 being the end PWS number 10368 x 353.975308641 that divided by the FP {Pythagorean Limma} obtains 336, the GP Grand Gallery height furthermore 336 x 9 = 3024, the GP base perimeter

 

The minor third: 3072 ÷ 2560 = 1.2

Exactly 315641.287000552 ÷ 1200 = 263.03440583379333 that multiplied by 1.2 = 315.641287000552 Cents

Then 3072 ÷ 315.641287000552 = 9.73256708332 which is 1.2 x 8.110472569437, which multiplied by the exact 315641.287000552 = 2560000

 

The 315641.287000552 x 2916 = 920409.992893609632 this being the Whole 46656 x  19727.5804375345 exactly, this multiplied by the Comma component 524288 = 10342933692.434087936 which is 1.2 x 3072 x 2805700.32889379555 which is the 315641.287000552 x 8.888 that multiplied by 0.9 = 8

 

On the other hand, the 315641.287000552 ÷ 2805700.32889379555 = 0.1125 which one tenth of 1.125 {FP x FP x Comma}

The 315641.287000552 ÷ 54432 x 86400 = 501017.9158738920634, which is the Eye of Horus fraction {64:63} of 1.015873 x 493189.5109383625 which is the 315.641287000552 x 1562.5 that multiplied by 6.4 = 10000

 

The 54432 employable in the company of all the musical scales, therefore I will currently simply illustrate a few interconnections

 

The major third: 7680 ÷ 6144 = 1.25

Exactly 370861.16531024064 ÷ 1200 = 309.0509710918672 that multiplied by 1.25 = 386.313713864834 Cents

Then 3072 ÷ 386.313713864834 = 7.9520863219, this being 1.25 x 6.361669057 that multiplied by the 386.313713864834 = 2457.6 ample scope

 

The 386.313713864834 x 4860 = 1877484.64938309324 this being 960 multiplied by exactly 1955.713176440722125 which is the 309.0509710918672 x 6.328125 that multiplied by the Pythagorean Limma {256:243} obtains 6.666

 

The 386.313713864834 is 0.197530864 x 1955.713176440722125 the 0.197530864 x 768 = 151.703703 that multiplied by 614.4 = 93206.7555

The Comma component 524288 ÷ 93206.7555 = 5.625

The 93206.7555 ÷ 524288 = 0.1777 which is 1.25 x 0.14222

 

The Pythagorean major third: 8748 ÷ 6912 = 1.265625

Then 386673.7810598390518518 ÷ 1200 = 322.228150883199209876543 that multiplied by 1.265625 = 407.820003461549 Cents

Then 768 ÷ 407.820003461549 = 1.8831837415 which is: 1.265625 x 1.4879476476489 that multiplied by the 407.820003461549 = 606.814814

 

The 407.820003461549 x 972 = 396401.043364625628 this being 322.228150883199209876543 multiplied by exactly 1230.1875 that multiplied by the Pythagorean Limma {256:243} obtains exactly 1296

The 322.228150883199209876543 multiplied by 5184 then divided by 6912 = 241.671113162399407407, which is 407.820003461549 x 0.592592 etc

 

The perfect fourth: 6912 ÷ 5184 = 1.333

Exactly 448240.4992211508 ÷ 1200 = 373.533749350959 that multiplied by 17.56467792107 = 6912

 

Until the next essay