Two Seven Two – What are these Three Numbers About? They provide a numerical key to lost prehistoric antiquity. Clues of the past have many forms and fashions. Numbers are one of them. A primarily defined number is megalithic yard. It was 2.72 feet. Professor Alexander Thom of Oxford University established this accepted measure. For background on the subject, study writings of the John Michell. His books have been my companions for over fifty years. Now they are mostly out of print and difficult to acquire.
How Megalithic Measure Comes From the Traditional Arrangement of the 3 x 3 Number Square
A megalithic inch is 0.816 inches. That is a straight read across the bottom- left to right, on the 3 x 3 number square pictured to the right. If you reverse these numbers you have 618. These are the square root numbers of the Golden Section. This was called “phi” by the ancient Greeks- 1.618…. The square root is o.618 feet.
A megalithic yard contains forty megalithic inches. Here’s the arithmetic: 40 x 0.816 = 32.64 inches. Next, 32.64″/12″ = 2.72 feet – or 1 MY. Next:
Add the 8 perimeter numbers. You have 8 + 1 + 6 + 7 + 2 + 9 + 4 + 3 = 40. It is no co-incidence that there are 40 megalithic inches in the megalithic yard.
In summary: Three primary ancient numbers come from the perimeter: (1) The megalithic inch as 816 comes from the bottom three perimeter numbers- left to right. (2) Phi’s square root numbers are from the same bottom perimeter but reversed as right to left (618). (3) The number of megalithic inches in the megalithic yard as 40 from the entire perimeter.
This blog is the tip of the iceberg. Keep reading the posts on DSOworks for more information on the subject as well as on music. It will be forthcoming.
Hidden Harmony Number 272 in the 4 x 4 Square. The 4 x 4 number square draws on Jupiter. Firstly, its enhances harmonious relationships. The definition of harmonious is: (1) Things that go well together. (2) People that get along well. When you get along with someone and rarely fight, that is an example of a harmonious relationship. Below is an external link on Jupiter. Underneath that are some internal links.
Enhancing Jupiter – This planet was associated with luck, fortune and wealth
Plato refers to the 272 as the number of harmony in his Canon. Harmonia was the wife of Cadmus. Her name in Greek, spelled with the letters add up to 272. This is by the rules of gematria. Check this word out online. Here is one connection between the 4 x 4 number square of Jupiter and harmony. Total all the numbers from 1 – 16 on this square. The sum is 136. Multiply 136 x 2 = 272.
Below is a second connection with number 272 found on the 4 x 4 square. That is the subject of this blog.
Here’s a 2nd way to find Hidden Harmony
Take the central four numbers. They are in lighter purple. Multiply them as follows: (6 x 11) and (7 x 10). Add their products together as 66 + 70 = 136. That is one half of the 272 total.
Ancient tradition also totaled numbers around the perimeter by sides. Here I overlap corner numbers: Thus we have: 1 + 15 + 14 + 4 = 34. Next we find that 4 + 9 + 5 + 16 = 34. The bottom side is the sum of 16 + 2 + 3 + 13 = 34. Finally we have 13 + 8 + 12 + 1 = 34. Total the sum of these four sides as follows: 34 + 34 + 34 + 34 = 136.
Finally let’s take the product arrived at by cross multiplication of the central four as effected in #1. It is 136. Add it to the product of sum of the four-sided perimeter total as in #2. That total is also 136. Add these two numbers as 136 + 136 = 272. As if by magic, Plato’s great number of harmony is found!
Fibonacci Inversion is Like Musical Inversion of Intervals. . Inversion means to reverse the order, be it of numbers or the two tones of a musical interval. We also have melodic inversion. An example will be given by J.S. Bach. A unison inverts to an octave as 1 + 8 = 9. The second inverts to the seventh as 2 + 7 = 9. The third inverts to a sixth as 3 + 6 = 9. The fourth inverts to a fifth as 4 + 5 = 9. Inverting music is further discussed in my internal link.immediately below.
Also, inversion also means turning the melodic intervals up-side-down.
Fibonacci Inversion is Also Like Inverted Triads
What are the Fibonacci numbers?
In mathematics, the Fibonacci numbers are the numbers in the following integer sequence, called the Fibonacci sequence, and characterized by the fact that every number after the first two is the sum of the two preceding ones:
For the Fibonacci inversions, I take the 1st four numbers: 1,1,2, 3. Each of these Fibonacci numbers with its inversion totals four. In similar fashion each musical interval with its total equals the same number. The number is different but the principle is the same.
The Fibonacci inversion of “1′ becomes “3”. This happens for each “1”. The inversion of “2′ becomes 2. This number inverts to itself. The musical parallel is as an octave inverts to a unison. Next, the inversion of “3” becomes “1”.
In order, the inverted numbers of 1,1,2,3, are 3,3,2,1. Now we have to points to make (1) Ancient philosophers often either separated successive numbers and/or placed them together.(2) Ancient numbers squares give rise to the Fibonacci series. The internal link explains, in depth, how Fibonacci numbers dominate 4 x 4 number square.
I keep within the ancient tradition of number squares for this next explanation. Take the first four inverted Fibonacci numbers, 3,3,2,1 – as a straight read. You have 3321. The is the numerical total of the 9 x 9 number square of the Moon. This square (with other ancient squares) is pictured below. It houses all the numbers from 1 to 81. Any two opposite numbers total 82. My page was copied from an earlier blog about the “Neolithic Periodic Chart”. Note the obvious vertical sequence of numbers on the periodic chart. It is found on the diagonal on odd numbered squares. They are clearly reinforced in reinforced black ink. The numbers are 2,8,8,18,18,32,32, …
So what is my conclusion? Again, there once was a former advanced civilization. It was based on number squares. Times were then peaceful and harmonious. Somehow it was destroyed. Could it have been the continent of Atlantis that Plato mentions in his writings?
Great Pyramid Connectivity to the 3 x 3 Number Square. I’ve written many blogs about the 3 x 3 number square. Perhaps there is no end to the multitude of connections it has to the Great Pyramid. Here are a few internal links. They are many more.
As per the featured picture: Two sets trisected lines, 2 vertically and 2 horizontally- make 12 struts. These 12 struts, geometry and the set numbers freely intermingled in antiquity. Ancients used a process that wouldnow be called “synergy” by the definition of engineer-philosopher, R. Buckminster Fuller. Richard Buckminster “Bucky” Fuller (12 Julie, 1895 – 1 Julie, 1983) was an Americanvisionary, designer, architect, an inventor. He was a professor at Southern Illinois University. Go to Epcot in Orlando. His mathematical theories helped to construct the geodesic dome set at the entrance. Most have a difficult time understanding the meaning of synergy; however, here it is:
“Synergetics is the system of holistic thinking which R. Buckminster Fuller introduced and began to formulate. … 102.00 Synergy means behavior of integral, aggregate, whole systems unpredicted by behaviors of any of their components or subassemblies of their components taken separately from the whole.
Synergetics | The Buckminster Fuller Institute https://www.bfi.org/about-fuller/big-ideas/synergetics
Some Synergetic Thoughts
Thus, take the 12 struts from the 3 x 3 number square. Square 12 as 12² = 144. This number is in the Fibonacci series: 1,1,2,3,5,8,13,21,34,55,89,144,233,377…each number is the sum of the preceding two. The Fibonacci series is framed by hidden codes in the 3 x 3 number square. The framing numbers are ….5….55….555 + 55 (610) ….(Find the post)
Cube 12, as 12³ = 1,728. That ties 12 into the 3 x 3 number square in two ways:
1,728 is the product of the 12 struts (6 vertical + 6 horizontal) cubed.
1728 is also the product of the gnomon numbers of the 3 x 3 number square. The gnomon is illustrated in picture above. It is the 5-numbers that remain after the lower right four corner numbers are removed. Thus, 8 x 3 x 4 x 9 x 2 = 1728.
Conclusion: With Great Pyramid Connectivity we can theorize how a former Golden Age would have been maintained. Perhaps we can acquire better times by exploring such thinking?
Many blogs on DSOworks are about this basic 3 x 3 number square. They are easy to access. I’ll use the bar figure of the numbers 9-5-1 for purposes of explanation. Taken as a straight read, any three numbers that cross the central 5 in a straight line is its own number backwards. It is just like a bar magnet. The number that always occurs is 1,110. Here, 951 + 159 = 1,110.
Next, let’s cut these numbers down the middle. We now have 95 and 15. This still has its North and South poles. This is like the split bar magnet on the left. Note: 95 + 15 =110. Reversed- 59 and 51 =110. These numbers are smaller than the initial 159 and 951. However, they still have their poles. A theme on DSOworks.com is how this number square sets the cosmos in motion.
Reversing Polarities in Triads or Key Signature Relationships
The subdominant and dominant relationship mark the extremes in the poles of the keys. The tonic draws these two opposite keys together. Here’s how:
The highest note of subdominant “F” chord is “C”. That is also the lowest note of the tonic triad.
The highest note in the tonic triad example here is “G”. That now becomes the lowest note of the dominant “G” triad. This central “C” triad bonds the extremes together.
Finally let’s cut the three letter names so “G” now becomes the central note. “C” is now set to the left. “D” is now to the right. This becomes like cutting the bar pole magnet in two new parts.
Conclusion: Polarity refers back to the 3 x 3 number square. I would like to conclude a picture of an emblem of the Lennie Lenape. They have a wonderful motto: “we are all family”. The Lenape (English: /ləˈnɑːpi/ or /ˈlɛnəpi/), also called the Leni Lenape,Lenni Lenape and Delaware people. They are an indigenous people of the Northeastern Woodlands. They live in Canada and the United States.
Force Field Interaction the Ancient Way. Here I’m merely extending the logic behind a prehistoric reasoning tool: The traditional 3 x 3 number square. The ancient Chinese call it the “Lo shu.” It is the grid of numbers pictured above. Please note: This is merely my own theoretical abstraction and application of these four forces. There are several other solutions to this puzzle: Arrange the numbers 1 to 9 so that any row of 3 totals 15. However, the featured picture shows the traditional arrangement. Many of the blogs on DSOworks.com are about number squares. They explain how basic squares of numbers could have been the backbone of a former advanced civilizations.
On force field interaction this merely speculative theory proposes:
Four fundamental forces occur as polarities.
These 4 forces form a basic web- The 3 x 3 number is the seed of the grid of all number squares. Above is the traditional historical arrangement.
Each square on the grid has its own unique force field.
The nature of the force field depends on the forces that cross it.
All even numbers, set in corners, only invoke two force fields.
Odd numbers are surrounded by three force fields.
The central five is the only number encased by all four force fields. This makes it the epitome of balance.
Each of the numbers of the grid therefore evokes a combination of forces. Evens have 2 force fields. Odds have three. Five alone is the special number. It is surrounded by all four force fields.
Number squares and their grids were thought to be the basis of civilization. The base of the Great Pyramid of Egypt also uses the 8 x 8 grid. Each side has a length of 8 great cubits. Each great cubit = of 55 smaller cubits: 8 x 55 =440 cubits. The intended cubit is 1.71818…feet. Rev. John Michell amply covers the subject. His books are well worth reading.
John Frederick Carden Michell (9 February 1933 – 24 April 2009) was an English author and esotericist. He was a prominent figure in the Earth mysteries movement. Over the course of his life, he published over forty books. These are on an array of different subjects. He was a proponent of the Traditionalist school of esoteric thought.
The Painted Hall of the Altamira Cave houses houses a prehistoric gallery. It was discovered in 1868. Since then, the floor has been lowered. This was to study the painted animals on the low ceiling at the time of the discovery. The floor measures 60 feet in length to 30 feet in width. My source for the dimensions is The Atlas of Legendary Places by James Harpur and Jennifer Westwood. The 12″ foot is the intended unit of measure. In fact, this now called “English” foot dates back to an indeterminable distant past. At the British Museum you can find several examples of a cubic inch of gold. It was the standard of weight ancient Greece, Babylon, and Egypt. Here’s how a segmented foot appears on the cube:
A cube has 12 edges.
Twelve edges of one inch per side = 12″= 1 foot.
Measurement Message from the 60 x 30 foot foundation of the Painted Hall
Musicians will most likely notice the 2 to 1 ratio of the floor’s proportions. These same proportions were recommended by Pythagoras. 10.500 years later this Greek philosopher stated the same ratio, after the unison, was most harmonious : The perfect interval of not the same tone (unison) and 1st overtone is the octave. It vibrates in a 2:1 ratio. The designers of the cave exhibition most likely knew this.
Its measure is the product of basic consecutive numbers. 5 x 6 = 30 (the width in feet). 3 x 4 x 5 = 60 (the length in feet). Very important: The formula for the megalithic yard uses all fives and sixes: (5 x 6) ÷ ( 5 + 6) = 2.727272… One megalithic yard is 2.72 feet. The builders of the Great Hall of Altamira knew this.
2nd factor uses 3,4,5 as 3 x 4 x 5 = 60. Numbers 3, 4 and 5 are the basis of the Pythagorean Theorem: 3² x 4² = 5². Also, look at the musical intervals above. These 3,4, and 5 factors figure into these basic harmonious intervals: 4:3 = perfect fourth. 5:4 = the major third.
The diagonal of the 30 x 60 rectangle would be 67 feet. The perimeter around this first half triangle is :30 + 60 + 67 = 157 feet. This figure (157) is one half of the pi figure of 314 made by the triangles made from a diagonal in a rectangle.
Conclusion: The wisdom of a lost civilization is preserved in measure at the Cave of Altamira. Perhaps the builders and artists were the survivors of Atlantis? Measurement message and music message are there. Of course, that the advanced artwork is there is a given!
Look at the odd numbered number squares of antiquity. In this regard, we view:
The 3 x 3 number square of Saturn.
The 5 x 5 number square of Mars.
The 7 x 7 number square of Venus.
The 9 x 9 number square of the Moon.
Hidden Periodic Chart Sequence –
What is the Sequence? It is the vertical difference in numbers set by the first row of the chart. We have the following:
Incredible Symmetry Between the Periodic Chart and Odd Numbered Squares of the Ancients
The master number square of the ancients is the 3 x 3. Please check the internal link below for further explanation through geometry. It also holds the vertical sequence in code by the lines of its graph. However it incredibly sets the numerical pattern in motion. The total picture of illustrated by squares of Saturn, Venus, Mars and the Moon clearly reveal the numbers of the periodic sequence. Thus we have the sequence by geometrical ratios and by actual numbers.
Hidden Periodic Chart Sequence is Uncovered in Odd Number Squares
The ancient number square sequence is in the same perfect order. View the odd numbered squares as follows: Locate the one number in the center of the oddly numbered squares. Then look diagonally at two numbers as follows: (1) Immediately above and to the right. (2) Immediately below and to the left.
Here are the first two such diagonal numbers of the 3 x 3 Square of Saturn: 2 and 8.
Next look at the 5 x 5 of Mars. We have the 8 and 18 in diagonal with the central 13.
Next we have the 7 x 7 of Venus. We have the 18 and the 32 in diagonal with the center. That completes the main defining numbers of the periodic chart however, let’s continue the sequence.
Look at the 9 x 9 of the Moon. We have 32 and 50. Here is a special case. When we add 32 + 50 = 82. This is the highest atomic number of a non-radioactive element. It effectively completes the stable elemental series.
Why the planetary associations? This does not prove a lost ancient, advanced civilization that used number squares instead of our periodic chart. But it makes the likelihood slightly greater than previously thought.
Common Musical Geometrical Ratios. First, what is a ratio?
Musically, in the diagram above: Every time a higher tone vibrates four times, the lower vibrates three. This creates the sound of a perfect fourth. All the perfect intervals and most harmonious tones of nature can be found at a bowling alley. Also, in the link below I explore the ratios of 6 to 5 found at Atlantis. The size of an interval between two notes may be measured by the ratio of their frequencies. When a musical instrument is tuned using a just intonation tuning system, the size of the main intervals can be expressed by small-integer ratios, such as:
Plato wrote of Atlantis in Timaeus that numbers 5 and 6 were prominently featured: People were gathered every 5th and 6th years alternately: Thus giving equal honor to odd and even numbers. The gathering of the population was for judgement and atonement.
Five hundred fortieth post is all About Man. Here’s the story as an excerpt from my The Staff of God Vol II. A number of Middle Eastern languages have the same symbol for numbers and letters. In this manner a numerical value can be equated with a particular number. This is called by the ancient Greek word, gematria.
Five hundred Fortieth Post Numerically Parallels the 5 Sided Pentagon
The gematria of the first man, Adam is 45.
This number has kinship with the 3 x 3 number square.
The sum of the numbers that comprise the square,
Being the sum 1 thru 9, totals 45.
The word for Adam is actually set up like the square.
Aleph = 1; dalet = 4; and mem = 40.
Aleph + dalet total the central 5.
Mem equals the sum of the perimeter of 40.
The square of three is like a lump of clay,
From which right and left limbs can be molded.
Using polarities up and down by hundreds
Example, 951 + 159, total 1110.
(That is the sum of 555 + 555)
Multiple balanced polarities can take the shape
As with the 951 axis of the head and torso:
438 + 672 can be viewed as the left and right arms.
The reverse 834 + 276 can be the left and right legs.
(all sums equal 1110.)
Five hundred fortieth post
The 3 x 3 number square utilizes opposite polarities by number. Man’s polarities are left and right: Arms and legs swing back and forth while walking. Power in martial art utilizes strength through polarity: One arm thrusts forward while the other goes backward in a set manner.
Here is an internal. The 1st sentence of Genesis uses three polarities. One is obvious and two are hidden:
By single numbers the perimeter is 40.
Double and overlap the perimeter numbers. You get 440.
Triple and overlap the perimeter numbers corner to corner. You get 2,220. The total of the 3 perimeters is 2700.
Add all three totals The 1st sentence of Genesis totals 2,701. Thus, 40 + 440 + 2220 = 2700. We add the One to the opening sentence of the Torah.