phi tie crosses the boundaries of this number square

Phi Tie is Like Tied Musical Notes Crossing Many Measures

Phi Tie is Like Tied Musical Notes Crossing Many Measures. Mathematicians since Euclid have studied the properties of the golden ratio, including its appearance in the dimensions of a regular pentagon and in a golden rectangle, which may be cut into a square and a smaller rectangle with the same aspect ratio. The golden ratio has also been used to analyze the proportions of natural objects as well as man-made systems such as financial markets.

phi tie across disciplines could be compared to tied musical notes
Phi defines a consistent ratio across the measure of nature of 1.618…to 1.

There was once a Golden Age. It was maintained by a mathematical code. The code has been hidden from most for millennium. On appearance, it is strikingly simple. On the featured number square, we have the following:

  • Any straight row of 3 numbers totals 15.
  • Any opposite two numbers totals 10.
  • The 8 perimeter numbers total 40.
  • The central number is 5.

This featured number square shows the traditional arrangement of the numbers. There are other solutions. The only rules used in diagramming the number square is that; (1) Even numbers must occupy the four corners. (2) Odd numbers must be placed in between the even numbers. (3) The mathematical totals must be the same as those given above.

So Where is the Phi Tie?

For this blog I will just show the obvious one. It is taken as a straight read across the bottom three numbers of the featured picture, from right to left. This code goes back to antiquity. Remember, Hebrew and many ancient languages were read from right to left. These civilizations would prefer the featured picture arrangement of the numbers. That exactly duplicates the first three numbers given as the quotient in the phi formula above:  .6180… In antiquity zero was not considered a number on its own. It was a synthetic number. As just mentioned: Any opposite two numbers totals ten. Primary numbers from 1 to 9 were given their own special place of honor on the square.

For those wishing to know about the hidden codes that I discovered and the story that goes with it, go to and type in “phi”.

Found Egyptian Remen in a simple number square.

Egyptian Remen Source is a Simple Number Square

Egyptian Remen Source is a Simple Number Square. The Egyptian remen of 1.2165 feet is the basis of a long line of ancient measures. Measures are related to the remen by the square root of simple whole numbers. John Michell explores this in great depth in his City of Revelation. It is in Chapter 10, The Canon of Measures. The best known are

(1)  1.72 foot Egyptian royal cubit.
(2)  The basic  1.2165 foot Egyptian remen.
(3) What is new is my own discovery at Blue Stone Mountain: How the remen ties into the 3 x 3 number square.

Found Egyptian Remen
At one point I led expeditions to ancient sites. This is one of the sheets that went with me for lecturing.


Found Egyptian Remen Source is the Multi-Dimensional 3 x 3 Number Square

Most look at the 3 x 3 square and see it surrounded by 8 numbers. I was told to look at  the perimeter by single, double and triple numbers.  That totals 20 sets of numbers. Then the perimeters totals are 40, 440 and 2220 (see diagram above).  Let P1 stand for 40. P2 stand for 440. P3 stand for 2220. We take (P1 ) + (P2) + (P3) ÷ P3 = 1.2162…Quite close to the numbers in feet that comprise the remen of 1.2165. Within 3/10,000 of a foot!  The reason for exactly why this 1.2162… feet  was taken as 1.2165 feet is a matter for conjecture.

So what about the central number 5 from he number square? We haven’t accounted for it yet. Not only does the perimeter figure into ancient measures, so does central five. This is on 3 levels with the Great Pryramid:

  • The missing tip is 5 cubits in height.
  • 55 cubits defines the Egyptian Great cubit. It is the basis of measure of the Great Pyramid. Its base is 8 Great Cubits. The truncated height is 5 Great Cubits.
  • The blue print of the Great Pyramid is formed by two interlocking circles. They are drawn interlocking center to center. This is called the vesica piscis (vessel of the fish). The diameter of each circle is 555 feet. For those who think that this is insignificant or random, consider:  George Washington’s Monument in Washington D.C. makes use of the repeated “fives”. It is 555.5 feet tall.  File:Vesica piscis.png
  • File:Vesica piscis.svg

Why am I writing this blog? Because I sincerely believe that reactivating the 3 x 3 number square will bring about a new Golden Age of peace and plenty. The 3 x 3 number square shows what sciences and arts of man have in common. What we all share is the key to the Golden Age. Let’s open it together.

Found Egyptian remen source,

Randomness in Music With the 12 Tone Technique

Randomness of the 12 Tone Technique Applies to our Math

Randomness of the 12 Tone Technique Also Applies to our  math.  The initial proponent of this technique was Arnold Schoenberg (1874–1951), Austrian-American composer. The technique is a means of ensuring that all 12 notes of the chromatic scale are sounded as often as one another in a piece of music while preventing the emphasis of any one note[3] through the use of tone rows, orderings of the 12 pitch classes. All 12 notes are thus given more or less equal importance, and the music avoids being in a key.

Randomness of Music and Numbers

Our modern use of numbers parallels the 12 tone technique. The 12 tone technique is best described as willful randomness.  Antiquity thought of numbers one to nine as belonging to a system. It was called the 3 x 3 number square.  In our music that is set in the circle of fifths, this is called a key signature.  The numerical key signature of the ancients  was the vehicle of the number square. They favored 7 primary number squares. This could equate with 7 key signatures. The simplest and first was 3 x 3. Their favored squares ranged from 3 x 3  to 9 x 9. They did use higher numeric squares. However, the basic 7 were most common. Sacred prayers in Judaism coded higher number squares. Two favored ones were 13 x 13 and 17 x 17. I have blogs on this subject on Some 10,000 years ago, and maybe further back in time, all numbers belonged to unified systems. They were also connected  to words. For example, “order” could be 264. Each symbol of the ancients represented a letter and a number. There were no separate letters and numbers. Their unity called by a Greek name, gematria.  Look it up online. At one time there was no  randomness. You can sample ancient unity on the 3 x 3 number square picture below.

With the ancients, randomness is lacking.
Every number relates to the others in a meaningful way in the Neolithic times.
  • Any two opposite numbers around the perimeter total 10. Examples are 4 + 6= 10 ; 9 + 1 = 10; etc.
  • The average of any two opposite numbers around the perimeter is 5. Five is the core number.
  • Each number contributes to a perimeter whose total around #5 equals 40.
  • The total of all the numbers on the square is 45. . (That equals the sum of the  numbers  from 1 to 9).
  • Each number is set so that any row of three totals 15. This is true vertically, horizontally or diagonally.

The high level of organization of numbers in antiquity is staggering. Today, with our modern sciences, we totally lack such an organizing system for our numbers. I believe that result is  social conflict. The genius of Arnold Schoenberg made a powerful musical statement as to where our culture was heading. Let us return to the way of the ancients. Reviving number squares is what many of my blogs are about. Enjoy the illuminating sample of the 12 tone technique below!



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)