One Thread Spans the Globe in Antiquity. Who would think a simple rectangular courtyard in Tikal holds a key to understanding the past?
Measurement Interchange on the Great Pyramid. The Great Pyramid uses different units of measure. British Antiquarian John Frederick Carden Michell (9 February 1933 – 24 April 2009) was an English author and esotericist who was a prominent figure in the development of the Earth mysteries movement. He discusses how the Great Pyramid was conceived by three primary measurement units: They were (1) the 12″ foot. (2) The 1.71818…foot long, shorter Egyptian cubit. (3) The 2.7272… foot long megalithic yard. In his View over Atlantis, he states that:
“The important discoveries about the past have been made not so much through the present refined techniques of treasure hunting and grave robbery, but through the intuition of those whose faith in poetry led them to scientific truth.”
This is the Measurement Interchange for the Great Pyramid- It Spearheaded a Former Golden Age
I credit the Lennie Lenape NE American Indians for my discovery for my discovery the hidden engineering capabilities of the 3 x 3 number square. An Indian spirit guide accompanied me on walks around Oquaga Lake. I was the house piano player at Scott’s Oquaga Lake House over some 15 summer seasons. She instructed me on the infinite codes hidden in this number square. Read the internal link if you wish to understand the math:
Here is the Measurement Interchange
- Go around the perimeter overlapping two number at the time: 49 + 92 + 27 + 76 + 61 + 18 + 83 + 34 = 440. The square base of the Great Pyramid measures 440 cubits on each side.
- Go around the perimeter again by single numbers and add them: 4 + 9 + 2 + 7 + 6 + 1 + 8 + 3 = 40. Add the numbers of the two perimeters thus far” as 440 + 40 = 480. The height of the un untruncated Great Pyramid is 480 feet.
- Add opposite numbers around the perimeter three at the time as 438 + 672 = 1110. This number-1,110- can be found in 7 more ways. The perimeter around the Great Pyramid is also 1,110 megalithic yards.
Thus, we have found the functioning of the three primary units of antiquity demonstrated at the Great Pyramid through this simple number square. Speaking of Michell’s mention of poetry, I have a book of poetry called The Oquaga Spirit Speaks. Here is a sample.
Mexican Pyramid Squares the Circle. First. What is “square the circle?” Squaring the circle is a problem proposed by ancient geometers. It is the challenge of constructing a square with the same area as a given circle. You may only use a finite number of steps with compass and straightedge. In 1882, the task was proven to be impossible. This was a consequence of the Lindemann–Weierstrass theorem. But wait a minute. Lindemann and Weierstrass did not consider R. Buckminister Fuller’s theories in conjunction with the Mexican Pyramid of the Sun.
Mexican Pyramid Really Spheres the Circle
So who was R. Buckminster Fuller?
R. BUCKMINSTER FULLER, 1895 – 1983
Hailed as “one of the greatest minds of our times,” R. Buckminster Fuller was renowned for his comprehensive perspective on the world’s problems. For more than five decades, he developed pioneering solutions that reflected his commitment to the potential of innovative design to create technology that does “more with less”. Born in Milton, Massachusetts, on July 12, 1895, Richard Buckminster Fuller belonged to a family noted for producing strong individualists. They were inclined toward activism and public service. Fuller developed an early understanding of nature during family excursions to Bear Island, Maine. He also became familiar with the principles of boat maintenance and construction. Below are a couple of internal links for further information.
Comparing the Mexican Pyramid of the Sun and Fuller’s Formula for Packing of Spheres
Packing of spheres in successive layers falls under a formula. It was discovered by R. Buckminster Fuller. It’s the number of the particular layer being considered, squared x 10 + 2. You can pinpoint how many spheres successivelyen circle a central sphere. Here are the 1st five examples.
- For the 1st layer, 1² x 10 + 2 = 12 spheres.
- The 2nd layer we have 2² x 10 + 2 = 42.
- For the 3rd layer, 3² x 10 + 2 = 92.
- The 4th layer is 4² x 10 + 2 = 162.
- The 5th layer is 5² x 10 + 2 = 252.
Ancients looked at what things had in common by common numbers. This was regardless of unit of measure used. We can thus equate the packing of the 5th layer of spheres with the measure of the Mexican Sun Pyramid. Also, Plato’s Ideal City, in his Republic, had 2520 rings. Is this line of thought just fun? Perhaps. But also, perhaps there is no such thing as mere co-incidence?
Mayan Egyptian Connection Spans Atlantic Ocean. Who were the Mayans? The Maya developed their first civilization in the Preclassic period. Scholars continue to discuss when this era of Maya civilization began. Discoveries of Maya occupation at Cuello, Belize have been carbon dated to around 2600 BC. The civilization still had great endurance. Look back some 3,000 years. Mayan Tikal was around from 250 to 700 AD. At its height during the Late Classic, the Tikal city polity had expanded to have a population of well over 100,000.
Egyptian Mayan Connection
We have no written evidence of connection between the two cultures and their countries. But, we do have similarity by measurement. Many are too fixated on proof by written record. They forget that numbers and letters once shared the same symbol. This practice of using the same symbol for both is called gematria- a Greek word. Only our modern languages (except Hebrew) have separate symbols for both. In effect, when you made a measurement, you also could imply a (1) A word. (2) A phrase. (3) An entire sentence. (4) Even a larger unit of writing translated into numbers.
Great Court at Tikal
A surviving Mayan great court is at Tikal. It outlines a rectangle. East to West is 400 feet in length. North to South is 250 feet in width. The courtyard is flanked by platforms, large temples and pyramids. The ratio of the length to the width of the Tikal courtyard is 8:5. Note 400/250 = 8/5 = 1.6. Compare this to the Great Pyramid of Egypt. One side of the square base is smaller Egyptian 440 cubits of 1.71818…feet. Its truncated height is 275 of the same sized cubits. 440÷275 = 8/5 = 1.6.
Comparing the Great Pyramid’s Dates to the Mayan first civilization in the Preclassic period.
Based on a mark in an interior chamber naming the work gang. and a reference to the fourth dynasty Egyptian Pharaoh Khufu, Egyptologists believe that the pyramid was built around 2560 BC. As stated above, Mayan carbon dating goes back to 2600 B.C. The dimensions of the Mayan courtyard and of the Great Pyramid had the same ratio of 8 to 5. These numbers are part of the Fibonacci series:
Leonardo Bonacci who was born 600 years before Beethoven. The Fibonacci series, named after him. is colored in red. Beethoven used the Fibonacci numbers in composing his fifth symphony. In the internal link underneath, I relate Fibonacci numbers to ancient number squares. I don’t know that Fibonacci ever made the connection?
BEETHOVEN’S DELIBERATE USE OF THE FIBONACCI NUMBERS
Behind Leonardo Bonacci’s back, the highest red number is 55. Each new number is the sum of the preceding two. Number 34 precedes 55. So, let’s continue the series: 34 + 55 = 89. Next, 55 + 89 = 144. Next 89 + 144 = 233 (the length of Beethoven’s opening section). Next 144 + 233 = 377 (which the length of Beethoven’s development section). Beethoven, being the brilliant genius that he was, knew exactly what he was doing. Note in red numbers. Number five is the 1st separated number. It is not consecutive. Almost every composer uses phrases in 4 bars. The genius of Beethoven made the opening phrase 5 bars long on purpose. He knew what he was doing!
The Best Architecture and Music are at Least Based on Tradition
The Egyptian Mayan connection of the 8 to five ratio is found with Beethoven. Of course, in this symphony Beethoven uses many phrases also use 8 bar phrases. When we listen to his 5th symphony it sounds natural. Can you imagine how he must have struggled to make the bar length come out right? Leonard Bernstein says of Beethoven and the 1st movement in The Joy of Music: “he will give away his life just to make sure that one note follows another inevitably.” In conclusion, I think that in addition to an even greater appreciation of Beethoven, we have graphic proof the relationship between music, numbers and architecture in this post: The Mayan Egyptian Connection and even more. This is why music lessons, theory and composition increase aptitude for mathematics.
Steady Eddie Had the Gift of Rhythm. I always seem to have had the best of luck in mentors. Maestro Edmund DeMattia was up there with the best. He recently passed away. I miss him. I’ve always excelled as a composer and am a fairly good pianist. Ed communicated how I could steady my rhythm in performance.
“Steady Eddie” was a Great Musical Innovator of the American Military
The idea for a “National Concert Band” began in 1973. Discussions were held among retired and former members of the four major military service bands in the Washington, DC area. The organization’s two main purposes were: (1) To provide a way for area military musicians to continue to play after retirement. (2) To preserve the concert band tradition of music in the United States. Ed also happened to be one of the founding members of the American Concert Band Association (ACB). The National Concert Band became a member of this professional organization. This was in no small part due to Ed. Because of him, those who retired from military service could continue their music in the National Concert Band .
One of Ed’s last concerts was with my wife and myself. Wife, mezzo soprano Sharon Ohrenstein, is also a composer, lyricist and arranger.
Sharon and I shared in co-composing. We worked together on a couple of military marches for Memorial Day. Link is below to our live performance of “Glory and Honor”. We even had Civil War Re-enactors firing their muskets during the concert on conductor’s cue!
Finally, what I am most proud of in the realm of the American military march. I worked with “Rubinoff and His Violin.” This was over a 15 year span. I was his arranger and accompanist. The American March King “-John Philip Sousa” gave Rubinoff’s career a big boost: He procured a continuous stipend from the State Department for bringing fine music to children in the public schools.
If you enjoyed this blog, please share it with friends. We can all be proud of our wonderful traditions!
Merry Christmas Number Square Sums it all Up. December 25, Christmas Day, is the 359th day of the year (360th in leap years) in the Gregorian calendar. This blog is about the 7 x 7 magic number square. It could well be called the Merry Christmas Number square. First of all what is a number square?….. Magic number squares only require the sum of each row, column and diagonal of numbers equal the same sum. Second, what defines the 7 x 7 number square? Ancient civilizations were into number squares. Each of the 7 known planets had its own square of numbers. Also, seven was known as a virgin and prime number. It cannot be evenly divided by any other number other than itself.
Merry Christmas Number Square Sums it Up
- The 7 x 7 number square was assigned to Venus. She was goddess of beauty. So was also connected to Greek goddess Athena. Because 7 was called a “virgin number,” it is associated with Mary, mother of Jesus.
- Note the central number of the 7 x 7 square. It is number 25. That numbers Christmas Day.
- Total all the numbers in the 7 x 7 number square. Those are the the sum of all the numbers from one to fifty. Their total is 1225. Read this as 12/25 and you have both Christmas month and day.
Below is an internal link to a fun story for the Holiday Season. Rubinoff, the famed violinist, literally brought holiday cheer all year round to children. I recently gave a concert under the auspices of the Ted Lewis Big Band Museum. The concert was under the baton of museum curator, Joseph Rubin in Circleville, Ohio. Since I was Rubinoff’s arranger and accompanist, Maestro Rubin asked me to play in the concert. Rubinoff spent a good part of his life giving concerts for children in public schools. In the “gag” picture, found in the internal link, comedian Jimmy Durante is playing Rubinoff’s violin (not very well, I might add) Rubinoff is clowning around at the piano. What fun!
Our best wishes for a happy holiday season- David and Sharon.
Glendalough Cathedral 30 Miles South of Dublin. St. Peter and St Pauls’ Cathedral Achonry, is a former cathedral in the Republic of Ireland: It is within the same enclosure as Our Lady’s Church and the Round Tower.
My source for this measure- 110 feet in height – is the book, Riddles in the British Landscape. It has 148 illustrations and 4 maps. The book is written by Richard Muir, p. 183. Publisher is Thames and Hudson, London, 1981.
Glendalough Cathedral has a Tower Built by a Hidden Number Square Code
Masonic symbol is traceable to the basic number square of antiquity. 110 is found here. Feet are assigned to this figure. Why is this number square Masonic? A pattern outlines a Masonic symbol. We have nine numbers. Take the numbers three at the time as follows:
- At a slant, 1, 2, 3 gives you the top triangle of the compass.
- 7, 8, 9 offers the reciprocal bottom triangulated half of the “T” square.
- Finally, 4, 5, 6, offers the slanted diagonal. Again these numbers are tilted in the number square. In the Masonic symbol above it occupied by “G”.
So where is the 110 used at the Glendalough Round Tower? It seems like the square only goes up to nine. But, consider the numbers in the following manner: Two at the time by opposite polarities. We now have:
- 49 + 61 = 110
- 94 + 16 = 110
- 95 + 15 = 110
- 45 + 65 = 110 etc.
Finding the Hidden 110 at the Glendalough Cathedral
For those who care to go thru the trouble and time, 110 can be found in sixteen different ways on this simple number square. The total of all 16 becomes 1,760. Those who know measurement can recognize 1,760 is another number of measurement: There are exactly 1,760 English yards in one mile. Three feet are in the yard. There are 5,280 feet in the mile. Thus, 5,280 ÷ 3 = 1,760.
Why go through all this trouble? This number square once marked a lost Golden Age of Peace and Plenty. This code needs to be reactivated. Why shouldn’t we all have the same today? The tower at Glendalough Cathedral would then become the symbol of good things to come.
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.
Indus Valley Cities: Quick Links.
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.
Never Never Sit Still – Be Like the Wind… I am a location poet. Poetry comes to me only on lakes in upstate New York. Try as I might, it evades me anywhere else. The featured picture on Wikicommons is entitled “A Windy Day by the Sea”. I thought it would best portray wind in a poem given to me by the “Oquaga Lake Spirit.” Oquaga Lake is in the United States .  It is to found in Broome County of the state of New York.
Never Never Sit Still – the poem
So what is my connection to Oquaga Lake? There is a resort on the lake. It is called Scott’s Oquaga Lake House. I was their house piano player for about 15 years. Their “season” lasted from Memorial Day until Columbus Day. This was almost five months of solid piano employment annually.
My duties began with the tour around the lake on Scott’s Showboat of Song. This was at about 4:30 pm. Then I would play an afternoon Show. This was followed by the dinner hour, ballroom dancing, up to 2 feature shows and after show dancing. Last dance call was often about 11:30 pm. This assignment was seven days a week. Here are the words of the spirit’s poem- Never never sit still.
Be like the wind to renew:
Circulate and blow through.
Keeping in motion is youth’s potion,
Never, never sit still.
Air that sits in mass
Stifles and doesn’t pass.
It grows stale and makes one pale:
Never, never sit still.
Swamp decays on stillborn days,
The stagnant calls for storm.
Keep the heart pumping
Keep the mind thinking:
Never never sit still.
This poem has numerous hidden meanings and teachings on the subject of breath. They will be covered in future blogs. Below are a couple of internal links about my current employment.
Above is a sample of my piano playing at the Gasparilla Inn. I ‘ll be there for my 10th season this coming year. It was built in 1911 and is in the Department of the Interior’s National Historic Registry> Details in the event link.
Extremely Humble King of Early American Music. In part, Dave Rubinoff’s exactitude helped the cause of early American orchestral music. To him, music was sacred. He had such a passion for music, that his temperamental outbursts were quite infamous. He never got mad or angry any at anyone- just at what they didn’t do with the music. The American public loved him. 225,000 turned out for one of his concerts in 1937 at Grant Park in Chicago. His success and temperament were the source of much jealousy and resentment. The musicians under him were often quite resentful. They were not used to such a fireball.
Extremely Humble King at Work
Very few people were so driven by music as Dave. When he conducted or played violin, it seemed like he was on a quest for the Holy Grail. He sought Truth through music. He rarely, if ever, talked about his past personal accomplishments in music with me. His mind was focused on the music we were currently working on. Sometimes we’d work a week on arranging 16 bars of music. We would try this solution, than another, than yet another. That’s why I think of him as an extremely humble king. He literally bowed his head to the great arrangement that a melody demanded. of music. The public treated him like royalty for his efforts.
Below is a concert we gave together at Scott’s Oquaga Lake House in the Catskills. The year was 1984. He was 86 years of age at the time. Although Dave most likely gave 1000’s of public concerts, below is the only sample of a full concert in existence. Every minute is worth listening to. Dave discusses each selection, and why it was special to him. Some people even resented his success. A prominent concertmaster came in to hear one of our performances. I won’t even mention the derogatory things he said as he made fun of this great violinist’s style. He learned a good part of his style from Will Rogers. Will Rogers, who identified with the American Cherokee Indians, even taught him how to take his bows. He was best friends with Will.