## Central Pillar and the 3 x 3 Number Square

Central Pillar and the 3 x 3 Number Square. In the featured picture the corner numbers on the Lo shu are 4,9,3 and 5. Remaining 5 remaining numbers are called the gnomon. These five are 2,7,6,1, and 8. There are three more possible corner/gnomon arrangements. That can be a subject for future blogs. The Tree of Life uses this one arrangement on the central pillar: The upper left corner v. its gnomon. Here are some instructions on how to read and compare the two systems. A vanished civilization knew what you are about to read. They enjoyed a Golden Age until they succumbed to a worldwide cataclysm. Certainly, Plato’s account of Atlantis fits this description. Allusions to this lost culture are found in the survival of ancient measurements. Below are a couple of my internal links.

## Tens: Here’s the Formula on How Tens Grow into Infinity

### Central Pillar and its Link to the 3 x 3 Number Square

First, what is a number square? It is found in recreational mathematics and combinatorial design. A magic square[1]  filled with distinct positive integers in the range . Each cell contains a different integer. The integers in each row, column and diagonal are equal.[2] Now to compare the two systems:

• On the number square, multiply the numbers of the upper  left corner: 4 x 5 x 9 x 3 = 540.
• Multiply the gnomon numbers: 2 x 7 x 6 x 1 x 8 = 672.

Next, look at the central pillar on the Tree of Life:

• Multiply the Central numbers of the four emanations (circles):1 x 6 x 9 x 10 = 540. This duplicates 540  product of the upper left corner of the number square.
• Take the central pillar numbers again. Add them: 1 + 6 + 9 + 10 = 26. Square 26 as 26² = 676. This is not the 672 gnomon product above. However, by rules of gematria, one can be added to each word or factor, in this case- circle, without essentially altering its meaning. We have 4 circles on the central pillar. Thus 672 + 4 = 676. We have congruence again. Gematria is explained in great depth by my favorite author, John Michell. His books are extremely rare and difficult to come by.

## Harappan Civilization & Square of Saturn Aspects

Harappan Civilization & Square of Saturn Aspects. Harappa was part of an Indus Valley Civilization .  The square of three of Saturn, pictured above, was preserved in ancient cultures worldwide. Ancients connected this square with the planet, Saturn. Both measurement and engineered are derived from this number square. Why? I believe it goes back to a destroyed civilization that predates recorded history. Perhaps it was Atlantis? Plato wrote of the reality of this legend.  Generations of survivors  made an attempt to preserve their knowledge of Atlantis through this number square. It was once the ideal behind a Golden Age.

### Harappan Civilization  and its Scope

Harappan civilization  coincides with  what is Pakistan and northwest India today.  It flourished over  the fertile flood plain of the Indus River and its vicinity. Religious practices of the Indus valley culture date back to  approx. 5500 BCE. The ruins of Mohenjo-daro were designated a UNESCO World Heritage site in 1980.

Harrapa: Northern Indus Valley City.                       Mohenjo Daro: Central Indus Valley City

Harappa and Mohenjo-daro were built on uniform grid-plan blocks. They had town planning and standard streets. Even houses were set out by a code. By 2350 B.C. the two cities were well established. They traded by land and sea with the Summerians.

Harappa’s citadel  parallelogram is 645 from east to west. It measures 1380 feet from north to south. On length and width totals 2025 feet. This figure squares forty-five as: 45² = 2025. Look at the 3 x 3 number square. The nine numbers total 45. This is one way the civilization drew on the 3 x 3 number square.

Here’s a second: Just North of the citadel was the state granary. It measured 150 feet from east to west. The North to south width was 75 feet. One length and width totals 225 feet. Look at the 3 x 3 number square. Any row of three numbers totals 15 feet. Thus, 15² = 225.

There are many other parallels which will be the subject of future blogs. The internal link below offers  one example of the depth of the 3 x 3 number square.

## Measurement Message from Altamira 11,000 B.C.

Measurement Message from Altamira 11,000 B.C.- Under the name Cave of Altamira 18 caves are grouped together northern Spain. They represent the apogee of Upper Paleolithic cave art in Europe. This was between 35,000 and 11,000 years ago (AurignacianGravettianSolutreanMagdalenianAzilian). Collectively, the caves were designated as a World Heritage Site by the UNESCO in 2008.

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.

1:1 (unison),

2:1 (octave),

3:2 (perfect fifth),

4:3 (perfect fourth),

5:4 (major third),

6:5 (minor third).

• 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.

## Marduk and His Temple are a Billboard for Measure

• 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!

## Common Musical Geometrical Ratios

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:

1:1 (unison),

2:1 (octave),

3:2 (perfect fifth),

4:3 (perfect fourth),

5:4 (major third),

6:5 (minor third).

### Below are the only the Perfect Intervals found by bowling pins in an alley

• The unison becomes the single, front standing pin.
• The perfect octave is the 1st pin divided by the 2 pins in the 2nd row: 2:1 is the higher octave.
• A perfect fifth is the ratio of the 3 pins in the third row divided by the two in the second: 3/2.
• As mentioned, the 4 divided by the 3 makes the ratio of the perfect fourth.
Ratios are often used to describe other items as: The ratio of width to height of standard-definition television.

In mathematics, a ratio is a relationship between two numbers indicating how many times the first number contains the second.[1]

## Clues in the Search for Atlantis Come With # 5 and #6.

When it comes to music, Atlantis lives!

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.

## Mysterious Diameter Measure at the Hopewell Circle

Mysterious Diameter Measure at the Hopewell Circle. The city’s name is derived from its original layout created in 1810. This was within the 1,100 ft diameter of a circle.  The circle was a Hopewell tradition earthwork dating to the early centuries of the Common Era. The county courthouse was built in the center of the innermost circle. The circular outline was soon obliterated. By the late 1830s a group of citizens decided to changed the layout to a standard grid. This was accomplished by the mid-1850s. All traces of the Hopewell earthwork were destroyed. However, anyone with specific knowledge of the past can link the circle to prehistoric times. Conclusions are quite startling.

### Mysterious Diameter Measure is Found in the Original Layout

I have a particular interest in Circleville.  On June 2 2018 I gave a concert at the Circleville High School. The story of the concert is nothing short of miraculous. Shortly, a youtube video of the concert will be posted. Keep checking my posts for the link of the actual concert. Also, please read about the incredible story of the concert on the internal link below.

Lecture Magic for Me in Circlelville Thanks to Rubinoff

The question becomes: Why is 1100 feet a mysterious diameter measure? What profound secrets does it hold? Basically, its measure explains lost secrets from a former and now lost civilization.

1. A secret code in the diameter measure is to be found in the Hebraic Tree of Life.
2. It illustrates another secret code that is prominent on the 3 x 3 number square.

These secret codes can open the gates that lead to a Golden Age of Peace and Plenty.

### Number Code on Tree of Life Hides the Mysterious Diameter Measure of 1100 by Number

So where is 1100 on the diagram to the immediate right? The numbered tree of life has three vertical pillars. Its numbers work in opposite polarities. They also work three at the time. Ancients attached their preferred units of measure to the numbers. The numbers were of key importance regardless of measure used.  Thus on the Tree we have:

• 357 + 742 = 1100
• Reverse the numbers. We still get 1100: 753 + 247 = 1100.

1100 is also Prominent on the Prime Number Square. Now we can go one step further into the past. Where did the hidden 1100 on the Tree come from? It came from an even more ancient square of numbers. It is also hidden. This time it is camouflaged in the prime 3 x 3 number number square. The Chinese call this square the Lo Shu. The Christians call it the Grain of Mustard Seed. Below is the standard depiction from antiquity:

Add the numbers two at the time. This is explained below. 660 and 440 will appear. Add these two numbers: 660 + 440 = 1100.

• Horizontally: (49 + 61) + (16 + 94) + (35 + 75) + (53 + 57) + (81 + 39) + (18 + 92) = 660
• Vertically: (43 + 67) + (34 + 76) + (95 + 15) + (59 + 51) + (27 + 83) + (72 + 38) = 660
• 440 is another major characteristic number on the square. Here is just one way it uses 440: Add the numbers around the perimeter two as the time. Go either clockwise or counter clockwise. You get 440.  For example: 49 + 92 + 27 + 76 + 61 + 18 + 83 + 34 = 440. Try the other way.

. The Hopewell tradition refers to the common aspects of the Native American culture. It flourished along rivers in the northeastern and midwestern United States. Years were from 200 BCE to 500 CE. The Hopewell tradition was not a single culture or society. It was a widely dispersed set of related populations. They were connected by a common network of trade routes.[1] The routes were called the Hopewell Exchange System.

How far back can we trace the use of number squares? Was Plato correct in his relating the story of Atlantis? Are the American Indians the long  lost tribes of Israel? The point is: Every question, when answered, simply raises more questions. Keep checking DSOworks.com. More events and posts will be in the making.

Fission Fusion Link with Iron and Lead is Strong. This is my 2nd blog about a mathematical and geometrical parallel between iron and lead. What’s so special about these two elements? The paragraph below is a copied paragraph  from the the 1st blog. Fission and fusion are tied to 2 ancient number squares. They are the 5 x 5 and the 9 x 9. If you care to see how, click on the internal link below. Ancient number squares are covered in the 1st blog.  Then, I will postulate another link between lead and iron in the present blog.

Neolithic Periodic Chart is Number Squares. Do number squares point to the existence of a super advanced civilization? Did Atlantis once exist? Was this knowledge destroyed when the library at Alexandria was burned down? Anyone with a mathematical frame of mind should say yes to all these questions. Study the two number squares of the internal link’s featured picture. Each of the number squares was connected to a metal and planet. Mars was iron. The Moon was lead. Of course, Earth’s Moon is now considered part of a dual planetary system with the Earth. Moon and Earth have a common center of gravity. Ancients thought the metal of the Moon was lead. The metal of Mars was thought to be iron.

## Here’s Another Fission Fusion Link

We already know that iron is the ash of nuclear fusion. We also know that Lead is the ash of nuclear fission.  I believe no stone should be left unmoved. At one time the inhabitants of Earth harmonized with number squares. This knowledge maintained a Golden Age of Peace and Plenty. Please click on the next internal link for specifics.

### peace and plenty Archives – DSO Works

Today’s stone to turn over is this: Total the fundamental particles in iron. We have 30 neutrons, 26, protons and 26 electrons = 82 basic particles. Yes, I know there are many more smaller particles. These are the fundamental ones on the chart. The stability of the ash of fusion as iron(26) flanges out by totaling its basic particles to illuminate the ash of fission which is lead(82). Is this a hidden basic truth; or just playing with numbers?

## Profound Numerical Egyptian Knowledge in Remen

Profound Numerical Egyptian Knowledge in Remen. Yes, this blog also points to the advanced civilization known as Atlantis.  For more about the remen, read the internal  link below. The link  in turn contains two more relevant links.  The remen was the basis of ancient measure. Its imprint is still on the three foot English yard.

But here is what is surprising to most.  The 1.2165… foot long remen displays knowledge of the 92 regenerative elements of the periodic chart. The most common isotope of uranium has 92 protons and 146 neutrons. Its atomic mass is 238 (92 + 146). It is no co-incidence that a remen equals 14.6 inches. Likewise, the number of neutrons in uramium 238 is 146. If you scoff at this co-incidence, also consider this: A numerical pattern formulated by R. Buckminster Fuller for elements holds the numerical atomic particle pattern of Ur (238).

### Profound Nature of the Remen is Everywhere in Nature

He discuss the tangent packing of spheres in successive layers. A central sphere can be surrounded by 12 equal sized spheres in the 1st layer. Next, 42 spheres can be packed in a tangent way around the original twelve spheres making the second layer.  For the 3rd layer, 92 spheres can be packed around the preceding 42. Fuller gives a formula for sphere packing: It is (n² x 10) + 2.  “N” becomes the number of the layer in consideration. So, the  4th layer would be 4 x 4 x 10 + 2 for 162. Uranium 238 has 92 protons. That number is defined by the 3rd layer. Next, add the numbers of the 1st 2nd and 3rd layers. We have 12+ 46 + 92 = 146. That becomes the number of protons in the most common isotope of Uranium.

Richard Buckminster “Bucky” Fuller (/ˈfʊlər/; July 12, 1895 – July 1, 1983)[1] was an American architectsystems theorist, author, designer, and inventor. Fuller published more than 30 books, coining or popularizing terms such as “Spaceship Earth“, ephemeralization, and synergetic.

### remen Archives – DSO Works

The remen of 14.6 inches is a universal measure. The Hebrew word for world (or universe) is Olam. Rules of gematria equate it with 146-  עוֹלָם is the spelling with Hebrew letters.  In ancient languages letters and numbers often shared the same symbol. Also, numbers were frequently multiplied by powers of ten. Please read the internal link below for an explanation. It explains mathematically how the largest is hidden in the smallest.

## Ten Eighty Musings Point to a Lost Prehistoric Culture

Ten Eighty Musings Point to a Lost Prehistoric Culture. To begin, I must quote Issac Newton.  Sir Isaac Newton Sir Isaac Newton (January 41643 – March 31 1727 .  He was an English physicistmathematicianastronomeralchemistinventortheologian and natural philosopher. He is most famous for discovering the Laws of Gravity.  Newton built on thoughts of bygone philosophers. These included Plato and Aristotle.  British author, John Michell, is the philosopher on which I have built upon. His works seem to be largely out of print. But I think they are worth the expense of acquiring.

Amicus Plato — amicus Aristoteles — magis amica veritas
• Plato is my friend — Aristotle is my friend — but my greatest friend is truth.

### So What Are Ten Eighty Musings?

First, to define 1080. Numbers, in the lost past, had associations. 1080 was lunar and terrestrial. The establish four elements were earth, air fir and water. 1080 was water. It expressed the Moon’s influence on the cycles of nature.With the psyche, it represents intuition. Ten eighty guides the unconscious mind.

So where does 1080 figure into today’s theme? First, let’s look at the ancient attitude to “zero”. It wasn’t a real number. It was synthetic. Ten was a combination of two opposite numbers on the 3 x 3 number square. Therefore, past civilizations could read 1080 as 18. They had the option of reading it as 108.

### So how were Ten Eighty Musings Used By Advanced, Lost Civilizations, Including Atlantis?

MetalBodyDay of Week
GoldSunSunday
SilverMoonMonday
IronMarsTuesday
MercuryMercuryWednesday
TinJupiterThursday
CopperVenusFriday

Note the Moon. Its diameter was taken on 1080 miles. Its metal was silver. Note silver’s standard atomic weight average of 107.8682(2).

Iso­topeDecay
abun­dancehalf-life(t1/2)modepro­duct
105Agsyn41.2 dε105Pd
γ
106mAgsyn8.28 dε106Pd
γ
107Ag51.839%stable
108mAgsyn418 yε108Pd
IT108Ag
γ
109Ag48.161%stable
111Agsyn7.45 dβ111Cd
γ
Standard atomic weight(Ar, standard)
• 107.8682(2)[1

The future holds many more ten eighty musings. Blogs must be kept short. Hope you enjoyed this one.

## Earth Moon System and 27 x 27 Number Square

Earth Moon System and 27 x 27 Number Square. The barycenter  is the center of mass of two or more bodies that are orbiting each other. Earth and Moon have a shared barycenter. As such they are a dual planetary system.  Barycenters are an important concept astronomy and astrophysics. This is the case for the Earth–Moon system. The barycenter is located on average 2,902 mi from the Earth’s center. This is well within the planet’s radius of 3,963 miles.

### phases of the Moon Archives – DSO Works

What do things have in common? That was the definition of wisdom in antiquity. Look at the internal link just above.  Above, this Moon link applies to our four types of musical triads.

### Earth Moon system and the 27 x 27 number square

Four Hundred Fortieth Post Defines Genesis   You might want to review the previous post.  My current post (441) is simply a continuation.  The common Earth based system for both is implied on the 27 x 27 number square. Here’s how:

• Look at the core number of this number square. It is numbered three hundred and sixty-five. That defines the days of our solar year. Its core is the essence of any number square.
• Look at the white diagonal from #352 to #378.  Each each lunation is approximately ​29 12 days (29 days, 12 hours, 44 minutes, 3 seconds, or 29.530588 days).  It is common for the months of a lunar calendar to alternate between 29 and 30 days. There are  twelve such lunations. The Lunar year is  is therefore 354 days, 8 hours, 48 minutes, 34 seconds (354.367056 days). Both 354 and 355 are included in this same diagonal.

Both the timing of the the Earth and Moon are found the the aforementioned diagonal line. The Earth is the main and central planet. The Moon has its center of gravity on the same diagonal. Likewise, Moon is part of the 365 day Earth based system.

At one time civilization was structured by number squares. It was a time of peace and prosperity. Does that describe the legend of Atlantis?  Plato describes in Critias what his grandfather was told by King Solon. Solon heard the story from the Egyptians. Atlantis was a mighty power based on an island in the Atlantic Ocean. Perhaps, over time, they also lost their interaction with number squares? Many blogs on DSOworks.com cover number square mathematics.

## Sunken Cathedral Legend Parallels the Story of Atlantis

Sunken Cathedral Legend Parallels the Story of Atlantis Some stories and legends just refuse to go away. One is the story of the Sunken Cathedral. The other is the story of Atlantis. I find the following parallel you are about to read is quite remarkable: Fans of both the Sunken Cathedral and  Atlantis keep waiting for either or perhaps both  to rise from the depths of the Atlantic. The sunken cathedral inspired many composers and artists. Monet made the painting below of the Rouen Catherdral. It could well have inspired Claude Debussy to compose his prelude entitled  La Cathedrale engloutie.

### FIRST, THE SUNKEN CATHEDRAL

The cathedral of Ys rests on the mythical city-island of Ys, located by Brittany in France (also spelled Keris).  It daily rises from the ocean. Debussy’s music conveys the sounds that issue forth from the cathedral including bells chiming, priests chanting and its full-sized organ. The opening suggests church bells ringing in the distance and the clerics singing medieval chant. The middle section imitates the action of waves crashing on the cathedral. The story goes that the island was sunk by the Devil due to the rampant impiety on the island.  For this expression in music, Debussy includes a featured place for the interval of the augmented fourth. This interval was called by the church the diabolis in music (the devil in music).

### Atlantis also Fell Out of Favor with the Dieties

Atlantis (Ancient GreekἈτλαντὶς νῆσος, “island of Atlas“) is a fictional island mentioned within an allegory on the hubris of nations in Plato‘s works Timaeus and Critias.  It represents the antagonist naval power that besieges “Ancient Athens”. Athens was the pseudo-historic embodiment of Plato’s ideal state (see The Republic). In the story, Athens repels the Atlantean attack unlike any other nation of the (western) known world,[1]  It gives testament to the superiority of Plato’s concept of a state.[2][3] The story concludes with Atlantis falling out of favor with the deities and submerging into the Atlantic Ocean.

##### The Sunken Catherdral Archives – DSO Works  (I discuss my upcoming recording of  one hour of the music of Claude Debussyon this internal link).

Finally come to the Gasparilla Inn and I will play the Debussy Prelude for you. I play there 6 nights weekly on the isle of Boca Grande.