measurement overview

Measurement Overview by the Traditional 3 x 3 Square

Measurement Overview by the Traditional 3 x 3 Square. This simplest of number squares has an infinity of hidden number codes. I currently have some 535 posts on They are divided primarily between music and this simplest of of ancient number squares.  Of course, music and measure overlap. With so many blogs, perspective is difficult. Who has the time to even quickly glance at so much material? The purpose of this blog is simply to provide a measurement overview of the source of measures. A few of the hidden codes are in this internal link.

Artist's reconstructed Troy in Turkey in our measurement overview
Overall rectangular part of Troy is 220 megalithic yards x 165 megalithic yards.  It traces back to the 3 x 3 number square.
  • With Troy, here is the computation. Follow the numbers on the square.  43 + 67 = 110. Backwards 34 + 76 = 110. Total is 220. This works with any opposite columns of two numbers.  Megalithic yards were assigned to this number. It defines the length rectangular part of the citadel.
  • Next, take two numbers at the time again as follows. Watch the number square with three pairs of numbers. 49 + 35 +  81 = 165.  Take them in reverse: 94 + 53 + 18 = 165. It works the same way if you work the numbers horizontally.

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

Both actual measurements of ancient sites and units of measurement came from the 3 x 3 number square. It was once the backbone of a civilization that was destroyed by a cataclysm. A Golden age of peace and plenty once marked this time. Perhaps it is time to return to a Golden Age guided by a simple number square?

Golden Age (disambiguation) – Wikipedia


Measurement Overview – a Partial List

In a Golden Age the weaker and stronger peacefully co-exist.

Here a few of the measures mathematically derived from this number square. Review many of them on Type in the keyword.

  • Egyptian remen as 1.2165…feet.
  • Egyptian cubit of 1.71818…feet.
  • Egyptian cubit of 1.728 feet.
  • Royal cubit of 1.72 feet.
  • Foot of 12 inches.
  • Yard of 36 inches.
  • English furlong of 660 feet.
  • English rod of 16.5 feet.
  • Summerian inch of 0.66 inches.
  • Summerian cubit of 1.65 feet.
  • Masonic hundredweight of 112 pounds.
  • Old gemancer’s mile of 14,400 feet.
  • Shorter nautical mile of 6.048 feet
  • Jewish sacred cubit of 2.0736 feet.
  • Jewish sacred pace of 3.456 feet.
  • Chinese p’u of 14,400 feet.
  • Akbar’s yard of 33 inches.
  • Roman pace of 2.433 feet…………

The  list literally goes on and on. 





Sacred engineers part one

Sacred Engineers Part One- Book Series on Line

Sacred Engineers Part One -Book Series on Line. I wrote a book. It is entitled “The Sacred Engineers Philosophy- The Pinnacle of Thought in the Unified Culture of Ancient Builders”. New knowledge is often kept at bay. It is not allowed to dock. The cargo of new knowledge that these ships carry are kept from unloading. Then a new era comes. Their cargo becomes suddenly desirable.  Welcoming crowds even go out to greet the ships.

File:New York, New York - Longshoremen. This shows the prevailing method of transferring bananas from the end on the... - NARA - 518792.jpg
Welcoming a desirable cargo shipment.

Is there such a thing as new knowledge?  Any valuable  new knowledge is usually  based on something old. Sometimes, the older, the better.  This view was expressed in 1382 in a Biblical translation attributed to John Wycliffe’s followers: “No thing under the sun is new” (Ecclesiastes 1:9). Time is cyclic. Specifically: At one time there was a Golden Age. Strife among people nations was unknown. Food was plentiful. Such stories have been reduced to legends.  Ancient Chinese referred to it as a time when yin ruled. This knowledge is alluded to in my link-  the rose and lily.

Image result for pictures from Oquaga Lake
Oquaga Lake is where I realized the significance of number squares.I was the house piano player at Scott’s Oquaga lake House. Most of my poetry was writen while hiking around this area.

rose and lily Archives – DSO Works

 Sacred Engineers Part One

The term Golden Age, as we know it comes from Greek mythology.  The Works and Days of Hesiod, describes the decline of the state of peoples through five Ages. Gold being the first and the one during which the Golden Race of humanity (Greekχρύσεον γένος chrýseon génos)[1]lived. Those living in the first Age were ruled by Kronos,.  After the finish of the first age was the Silver.  Then came the Bronze. After this, the Heroic age. The fifth and current age is called Iron.[2]

And what has been lost?  Certainly the “Golden Age” factor. It denoted a period of primordial peaceharmonystability, and prosperity.  What can help to bring it about? Certainly, and most important, love. Also important,knowledge of number squares added balance to  lost, prehistoric  civilizations.  Yes, the concept is mathematical in nature. The Sacred Engineers Part One was written to introduce and explain a series of posts that will follow. The book was written in dialogue form in the style of Plato’s Republic.

Ancient computing was based on the Platonic Solids

Ancient Computing Utilized the Platonic Solids

Ancient Computing Utilized the Platonic Solids. First: What are the Platonic solids? In three-dimensional space, a Platonic solid is a regularconvex polyhedron. It is constructed by congruent (identical in shape and size) regular (all angles equal and all sides equal) polygonal faces.  They  have the same number of faces meeting at each vertex. Five solids meet those criteria. That’s it. A 6th cannot be constructed.

Four facesSix facesEight facesTwelve facesTwenty faces
(3D model)
(3D model)
(3D model)
(3D model)
(3D model)

The tetrahedron is the basis of the other four solids. Look at the 1st five numbers.  With that knowledge, here is some mathematical fun. 1²  x 2² x 3² x 4² x 5² = 14,400. Where is 14,400 significant as an ancient number?

The tetrahedron is the basic unit of the five.
By vertices, its 4 triangles total 720º (4 x 180° per triangle).  Then 7 + 2 + 0 = 9.
The solid whose faces contain  the most degrees of the 5 is the dodecahedron
With 9 x 720° = 6,480°. (This is exactly 9 x the  tetrahedron’with 720° degrees).  (9 x 720 = 6480).  Its second way is,  6 + 4 + 8 + 0 = 18. Reducing the number by horizontal adding of the smaller numbers,  1 + 8 = 9.

With the remaining three solids: Cube has 2,160°. Each of its 6 squares has 360°. Thus, 6 x 360 = 2160. That is 3 times the 720° of the tetrahedron. Reduce 2160 and we have:  2 + 1 + 6 + 0 = 9.
Icosahedron has 20 triangles. Every triangle has 180°. Thus, 20 x 180 = 360o. That is five times the 720 ° of the basic tetrahedron. Reduce 3600 and we have: 3 + 6 + 0 + 0 = 9
Finally,  there’s the octahedron with 8 triangles. 8 x 180° = 1440. That is 2 x the 720° of the tetrahedron. Then 1 + 4 + 4 + 0 = 9.
In content and quality number 9 imbues the  regular solids.

Ancient Computing had a Source

  • Why was  number 9 the limiting number of the Platonic solids in the manner described above? I like to call the nine-boxed digits in the number square below the “stamping mill of the Universe.”  Nine is the highest number of the traditional arrangement of the pictured numbers.
  • A second mystery: Why are there only 5 possible regular polyhedrons?  Because 5 is the core number of the 3 x 3 number square. The infinitely complex Universe is stamped out from this simplest of number squares.
  • A third mystery to solve:: Why was a megalithic mile 14,400 feet?  How did it relate to King Arthur’s Palace? The answer is simple. Total the number of degrees in the 5 solids. They are listed above.  We have, 720 + 1440 +  2160 + 3600 + 6480 = 14,400. Now read the internal link below.

The high priests of the Mesolithic culture worked extensively with the 3 x 3 number squareMesolithic cultures worked with the 3 x 3 number square for ancient computing.  Roses hold a primary ancient secret. Again, read this internal link. The high priests of various cultures and countries knew its secrets. Another known entity was how this tiny number square can become infinite. Link is also below. I’m attempting to restore this lost knowledge. My insights all took place on Oquaga Lake. I was the house piano player at Scott’s Oquaga Lake House for years. I  communed with a female Indian spirit from the Lennie Lenape.  This numerical square could offer a common vision based on balance. That, in turn, could initiate another Golden Age.

Image result for picture of oquaga lake
Beautiful Oquaga Lake, former stomping ground of the Lennie Lenape Indians.

King Arthur: His Palace and the Megalithic Mile

Roses, the only flower allowed in Jerusalem

Tens: Here’s the Formula on How Tens Grow into Infinity – DSO Works

Another Ancient Dodecahedron i

Another Ancient Dodecahedron in Summeria

Another Ancient Dodecahedron in Summeria. Check the last blog. This same model applied to ancient Israel. The blog explains the parallel. This same figure explains our current musical circle of fifths. The dodecahedron is quite inclusive. Ancients ascribed the overall shape of the Universe to this figure. Click on my internal link below: Translating Geometry to Words and Numbers.  This link contains another internal link. Both also define the dodecahedron in antiquity.

Another Ancient Dodecahedron in Summeria
This shape was once thought to encapsulate the Universe.

Translating Geometry to Words and Numbers- link


Visiting Summeria For Another Ancient Dodecahedron


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Modern usage for dodecahedron in a playground.

The Summerians, like many cultures, had 12 gods. The Israelites also used the dodecahronal model. However, they substituted 12 tribes for the 12 deities. One God centered the whole system. In Summeria each god was assigned a number. The male deities had numbers 10,20, 30, 40, 50 and 60. The female deities were 5, 10, 15, 25, 35, 45, and 55. We have the following list:

  • Male deities: Ishkur/Adud was 10…. Utu/Shamash was 20… Nanna/Sin was 30…Ea/Enki was 4o…Enlil was 50…Anu was 60.
  • Female deities: Ninnhursag was 5…Iaanna/Ishtar was 15. ..Ningal was 25… Niaki was 35…Ninlil was 45…Antu was 55.

With our featured picture we have five numbers and a corresponding Summerian god pinned to each of the 12 pentagons.  In effect the numbers define the 5 vertices of each of the 12 pentagons.

Look at how varied the dates of its various uses are. The 12 primary key signatures of the circle of fifths became prevalent in the 18th century. It is still widely used. The dodecahedron’s parallel to the 12 tribes of Israel was officially established in Israel about 1,000 B.C. The 12 Summerian gods came about 4,000 B.C.

Ancient civilizations associated the simplest number square (3 X 3)  with Saturn. This number square has hidden codes not seen by most. That is my reference in the featured picture. It can be look at by 3 numbers at the time or by hundreds. It literally is the stamping mill of the Universe. Many blogs on this website are about this number square. Read my internal link below. Why all this fuss? Understanding this lost knowledge and its redeployment can initiate a new Golden Age. Such an age is marked by peace and plenty.

The Stamping Mill of the Universe – DSO Works

Characteristic number hides a secret code

Characteristic Number Hides a Secret Code

Characteristic Number Hides a Secret Code. Civilization has lost its touch with the past. A lost Golden Age  was all about number squares. Two opposite numbers always totaled the same number. Our featured number square will be the 3 x 3. Its characteristic number is 10. Any two opposite numbers total 10. These include 9 + 1;  4 + 6;  3 + 7; and 2 + 8.  First, where did I first learn about number squares? From the writings of British author, John Michell. Many of my blog are about the 3 x 3 number square. Below is an internal link to one of them. I However, I was able to take John Michell’s work a step further. This is because of an American Indian spirit guide from the Lennie Lenape. It all happened on Oquaga Lake  (See picture below).

Image result for picture of author John Michell
This book started me on a thus far 50 year journey.



Image result for picture of the 3 x 3 number square

3 x 3 number square Archives – DSO Works

View the square 2 numbers at the time by opposites. Whereas two numbers that cross the center are paired in the same row. Their sum is always 110. Thus, 49 + 61 = 110. Or, 35 + 75 = 110.   The 110 can be pulled out of the square in 16 ways. Thus, 16 X 110 = 1,760. The center then becomes 55. It is surrounded by 440


Characteristic Number Square List of Antiquity

  • The 3 x 3 is 10.
  • The 4 x 4 equals 17.
  • The 5 x 5 totals 26
  • The 6 x 6 is 37.
  • The 7 x 7 is 50.
  • The 8 x 8 is 65
  • The 9 x 9 is 82.

So where is the hidden number code? Take the prime characteristic number of the 3 x 3 number square. Its sum is 10 as described. Next, total the numbers from 1 to 10. They equal 55. You have just seen how the center of the 3 x 3 number square becomes 55 when viewed two numbers at the time.  Today many scoff at this. The ancients of a lost Golden Age accepted it.  My Indian spirit guide also offered a book of poetry, filled  with her wisdom.

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Available as a product on
Five meets six here

Stonehenge Number Squares Are Fairly Inclusive

Stonehenge Number Squares Are Fairly Inclusive. Today I will feature its use of the 5 x 5 number square. It is pictured below. A lost and forgotten Golden Age was all about these number squares. I believe that with their reactivation, we can regain another such age. The blogs on cover these number squares. They also are about how music enriches our lives.  A Golden Age denotes a period of primordial peaceharmonystability, and prosperity. Peace and harmony prevailed.  People did not have to work to feed themselves.  Earth provided food in abundance. Please keep the following in mind: The present way of thinking of numbers is that they  represent impersonal quantities. Ancient civilizations animated numbers as words. Also numbers were thought of as musical in many ways:

  • Harmony uses basic number ratios. The consonant harmonies were either 1:1, 1:2, 2:3 and 3:4 or sometimes 4:5.
  • Higher number ratios were considered to be anywhere from mildly dissonance to dissonant.

Stonehenge Number Squares Included the Traditional 5 x 5 of Mars

11   24    7    20    3
4    12   25    8    16
17    5   13    21     9
10   18    1    14   22
23    6   19     2   15

Around the horseshoe are the remains of the outer sarsen circle, capped with lintels. There were probably once 30 stones in this circle. Set just inside the bank were 56 pits, known as the Aubrey Holes.[2] About half of these have been excavated. They were marked in the 1920s with white concrete circles. The inner enclosure forms a horseshoe shape of five trilithons.  Now to the 5 x 5 number square. The 5 trlithons also refer to the 5 x 5 number square. The numbers 1 to 25 total 325. Multiply the factors of this number as 3 x 2 x 5 = 30. That totals the Sarsen Circle stones.

Stonehenge Number Squares: Numbers defined relationships among many disciples. Ancients said, as with the large, so is the small. It is well established that the Stonehenge could predict the occurrence of ellipses. That is the large. The small is defining an atom of Iron. This element is defined by 26 protons and 30 neutrons. The atomic weight is 56. Iron is the significant element of nuclear fusion. Click on the internal link below.

Image result for wiki commons picture of Stonehenge
Stonehenge Sunset

fusion Archives – DSO Works

On large scale, these numbers as stone markers can predict solar and lunar eclipses:

Aubrey holes – Wikipedia


Hoyle proved that this could have been used to produce a much more reliable method of predicting eclipses as whenever the moon and sun markers are directly opposite each other and the other two stones occupy those same opposing points, an eclipse can be guaranteed.

In unity there is peace. I believe, for this purpose, it is about time to understand this ancient and forgotten use of number squares. This can create a happy fusion of the assorted elements of mankind. 




Numerical reality and number squares

Numerical Reality Involves Number Square of Saturn

Numerical Reality involves number square of Saturn. At one time, numbers were thought to be the foundation of all. Numbers, however, were not random. Reality was set in number squares. This plan was global. Seven squares in particular were favoured. Each square represented the properties of a particular planet. They were:

  • Saturn with 3 x 3.
  • Jupiter was 4 x 4.
  • Mars was 5 x 5.
  • The Sun was 6 x 6.
  • Venus was 7 x 7.
  • Mercury was 8 x 8.
  • The Moon was 9 x 9.

The most complex was the simplest.The rings of Saturn are the most extensive planetary ring system of any planet in the Solar System. They consist of countless small particles, ranging from μm to m in size,[1] that orbit about Saturn.

The full set of rings, imaged as Saturn eclipsed the Sun from the vantage of the Cassini orbiter, 1.2 Million km distant, on 19 July 2013 (brightness is exaggerated). Earth appears as a dot at 4 o’clock, between the G and E rings.

Numerical Reality of Saturn’s 3 x 3 Number Square

Numerous layers rings are visible around Saturn. This parallels the properties of the number square the represents Saturn

Galileo first observed the rings in 161o.

Likewise, a number of mathematical rings surround the 3 x 3 number square.

  • Add the numbers around the central 5 (I term these numbers p1 which stands for perimeter one). 4 + 9 + 2 + 7 + 6 + 1 + 8 + 3 = 40.
  • Then add them two at the time overlapping the numbers. (I call this p-2. This stands for perimeter two: 49 + 92 + 27 + 76 + 61 + 18 + 83 + 34 = 440.
  •  Now take the numbers three at the time. Overlap the third with the first number. I call this p-3. This stands for perimeter three.  492 + 276 + 618 +  834 = 2,220.

Image result for picture of the 3 x 3 number square

These numerical rings around the 3 x 3 number square were used to measure holy sites of ancient civilizations. The ways have been described in the blogs on DSOworks. The blogs are free and easy to access.

We are about to enter a new era of peace and plenty. It is also termed a  Golden Age. The codes contained in this planetary number square can help in this quest.

A musicalmile

Musicalmile is a Masonic Unit of Measure

Musicalmile is a Masonic Unit of Measure. Ancient tones of the diatonic musical scale are well known and defined. Their numbers by vibrations per second were also used for  measure. Issac Asimov, for one,  lists these tones in On Physics. Guy Murchie, in Music of the Spheres, lists the same numbers. Every single tone was used in for measure in the Neolithic goddess culture construction.  The general practice was to translate vibrations per second to units of measure that characterized a particular culture. Ancient Greek writers allude to this tradition. They call call architecture frozen music. Goethe elaborates on this quote:


Johann Wolfgang von Goethe

“Music is liquid architecture; Architecture is frozen music.”

Johann Wolfgang von Goethe

Here are some tones of the diatonic scale. Vibrations per second of the ascending  diatonic scale in the key of “C” . I’ve blogged about a master temple plan that was made from musical numbers. The Indian Oquaga Spirit gave me a vision of the design.  The list below from the sources given above:
  • Middle “C” vibrates to  264 times per second.
  • D” vibrates to   297 times per second.
  • E –  vibrates to  330 times per second.
  • F – vibrates to 352 times per second.
  • G – vibrates to 396 times per second.
  • A – vibrates to 440 times per second.
  • B – vibrates to 495 times per second.
  • C –  vibrates to 528 times per second.

These numbers were freely multiplied by 10 when larger measurements were desired. Thus, we have the musicalmile.  Many of my blogs are about number squares. The characteristic number of the 3 x 3 square is 10. Any two opposite numbers around the perimeter total 10. Antiquity favored such associations. The 3 x 3 number square was “the grain of mustard seed.” Also, it was considered the numerical square of  the ancient god of engineering, Saturn,  par excellence. Read my blogs on

The musicalmile ( as 528 yards) finds expression by number at the Great Mosque of Akbar
The Great Mosque of Akbar in Turkey translated diatonic C/528 vibrations per second to a perimeter of 528 yards. An ancient Masonic tradition has survived.

Why bother with all this? At one time civilization had harmony and peace. Lack of warfare was not uncommon in goddess cultures. They existed  before 4350 B.C. Riane Eisler covers the subject in The Chalice and the Blade. We are about to return to a Golden Age of peace and plenty. Music will lead the way. That’s why King David was a musician first. Over time, I will blog about sites built by music. Part of this return to a Golden Age is to rebuild or refurbish “musical” sites. We must create a greater awareness of what music and harmony can do for mankind.




Eureka! The mysterious Oquaga Spirit is found here, if you are lucky.

Eureka: Is yelled by Archimedes, then by Ohrenstein

Eureka! was the exclamation of Archimedes of Syracuse. It translates from Greek: “I found it!” He noticed that the level of the water in the bath he was taking rose as he got in. Archimedes then realized this knowledge could be used to determine not only the volume the King’s crown; but if it was made of real gold. The King had expressed a strong wish to know.


Some 2,200  years later I, David Ohrenstein, had been looking for the “grain of mustard seed” from which everything grows.  It has been a life long, personal quest. A spirit, that I call the Oquaga Spirit, verbally gave me the answer.  This spirit has a haunt around Oquaga Lake in the Catskill Mountains near Deposit New York. The lake is spring fed. It is perched at an elevation of about 2,000 feet. The  next 30 years I passed, intensely  researching her words: “If you want to know the source of all the sciences and arts, look more closely at the 3 x 3 number square.”

I now believe what the spirit told me  is truth. The 3 x 3 number square is the grain of mustard seed from which everything grows. The spirit illuminated hidden number codes within the walls of its tick-tack-toe board. It even explained double and spiral coding. As a result, I have written over 1000’s of pages.  Her wisdom redefines knowledge in the sciences and arts. I believe this knowledge will lead to a new Golden Age of “peace and plenty”. I  spent 15 summer seasons on Oquaga Lake as the pianist at Scott’s Oquaga Lake House.  The Oquaga Spirit was a native American Indian of the Lennie Lenape tribe.  Their encampments included this lake. Women were in charge and had the power.

Enjoy this free sample of the Oquaga’s Spirit’s wisdom through her poetry. The complete book is available as a product on for $2.99.  It has 100 pages of poetry with pictures.  Or, if funds are tight, enjoy this free youtube recording of some of the poetry she dictated. I’ve memorized all her words in the book. Why not invite the Oquaga Spirit to your next program or party? As a pianist, I will be posting a one hour DVD of me playing the music of Claude Debussy in the near future.


Archimedes of Syracuse
Archimedes Thoughtful by Fetti (1620)

Archimedes Thoughtful by Fetti (1620)

The Golden Age; Where is it?

The Golden Age by Pietro da Cortona.

The Golden Age; Where is it? The ancient tradition of naming of ages the of man was documented by Hesiod, an 8th century BC Greek poet.  In Work and Days, he describes five ages. These ages are cyclic: Gold, Silver, Bronze, Age of Heroes, and Iron.

  • The Golden Age denotes all the good things in life: peace, harmony, stability, and prosperity. Man lives to an old age, dies peacefully and wanders about after death as a benevolent spirit.
  • The Silver age was worse. Men were not only foolish and immature, but refused to worship the Deity.
  • The Bronze age was far more violent. Mankind destroyed one another with bronze weapons.
  • The Age of Heroes was more just. This age included some of the heroes of the Trojan War.
  • The Age of Iron, which we are still in, is characterized by turmoil, strife and sadness.

Things might seem bad now, but the cycle is about to restart once more with the Golden Age. The key to the door of our new Golden Age is the tiny grain of mustard seed called the 3 x 3 number square; the smallest of number squares. We can “read”its  numbers”, in a way called gematria as they did in antiquity. Often letters and numbers shared one symbol; not like most languages today that use separate symbols for numbers and letters.  This tradition is buried in the past but belongs to all mankind: Hindu, Buddhist, Muslim, Christian, Jewish, even Zoroaster. Here’s how to read the 3 x 3 square in Judaism.  Everyone will be included in future blogs. What we have in common promotes peace and all the good things that come with it.

  • 5 is the central number = 5 Books of Moses
  • 10, any two opposite numbers = 10 Commandments
  • 40, totals 8 numbers around #5= days and nights Moses was on Mt Sinai to receive the law
  • 15, total of any row of 3 numbers=the gematria of the shortest name of God, “Yah” (yud (10) , hei (5)
  • 20, the four corners or 4 inner numbers total 20 = the gematria of the double “Yud”, another  spelling of the Holy name.
  • 120, totals the fact that 15 can be found in 8 different ways by adding 3 numbers in a row: (3 sets vertically, 2 sets diagonally and 3 sets horizontally)=the years of the life of Moses.