Three Square Code

Three Square Code Structures Stonehenge

Three Square Code Structures Stonehenge. Life often offers us the polarity of opposites. Something stands in opposition to something else.

This tiny number square gives rise to the pillar arrangement at Stonehenge. It was used in countless ways by ancient historic and even prehistoric civilizations. Currently we are entering a new age. It will be marked by peace and plenty. This is also known as a Golden Age. The same arrangement that formed the Palestinian cubit and the Egyptian cubit also structured the pillar arrangement at Stonehenge. Some information I quote from my own internal link below:

Two Ancient Reads From One Number Set

Abu Mūsā Jābir ibn Hayyān explains how this number square was divided into various corners and gnomons. I show how the dotted points below were the options that were used for the appropriate Egyptian and Palestinian cubits. It was also used for builiding Stonehenge.

  • Multiply the 4 corner numbers: 5 x 7 x 1 x 6 = 210. The Palestinian cubit is 2.107 feet.
  • Multiply the remaining five numbers which are called the gnomon: 8 x 3 x 4 x 9 x 2 = 1728. The larger Egyptian cubit is 1.728 feet.

First we must see who gave rise to realizing this division of the square three code in the particular manner that I will present. Abu Mūsā Jābir ibn Hayyān (Arabicجابر بن حیان‎‎, Persianجابر بن حیان‎‎, often given the nisbahs al-Bariqi, al-Azdi, al-Kufi, al-Tusi or al-Sufi; fl. c. 721 – c. 815),[6] also known by the Latinization Geber, was a polymath: a chemist and alchemistastronomer and astrologerengineergeographerphilosopherphysicist, and pharmacist and physician. Born and educated in Tus, he later traveled to Kufa. He has been described as the father of early chemistry.[7][8][9]

Jabir ibn Hayyan.jpg

15th-century European portrait of “Geber”, Codici Ashburnhamiani 1166, Biblioteca Medicea Laurenziana, Florence

Three Square Code Uses Lower Right Corner and its Gnomon for Stonehenge

Numbers in a row are called a sequence. Sequence is also used in music and dance. Stonehenge uses 5,6,7, and 8:

  • 5 x 6 = 30. This numbers  inner stone circles.
  • 7 x 8 = 56. This numbers the outer holes.

 

Plan of the central stone structure.  The stones were dressed and fashioned with mortise and tenon joints before 30 were erected as a 108-foot (33 m) diameter circle of standing stones, with a ring of 30 lintel stones resting on top.

Three square code answers many questions.
Inner circles had 30 standing  megaliths. Outer Circle were dug with 56 pits. Above is a computer rendering.

For fun, add 5 + 6 + 7 + 8 = 26.  Now, let’s look at the two products and one sum we created from consecutive numbers 5,6,7 and 8: They are 30, 56 and 26. Any beginning student of chemistry knows these numbers define the most stable isotope of iron: (1) 30 neutrons. (2) atomic number 56 (3) Finally 56  – 30 = 26.  That is the atomic number of iron. Why is this important? Iron is the ash of nuclear fusion on stars. When enough iron is at the star’s core, it explodes. This creates all the heavier elements than iron.

Here’s the big question: Does Stonehenge represent the cosmic stellar process of creation? Was this known in the distant past? Or, is this just another numerical co-incidence?

 

Plus one factor is prominent

Plus one factor shared by Geometry and Math

Plus one factor shared by Geometry and Math. This post applies to all of the prominent ancient number squares. For various reasons, they are also called magic squares. What characterizes  these squares of numbers? In recreational mathematics and combinatorial design, a magic square[1] is a {\displaystyle n\times n} square grid (where n is the number of cells on each side) filled with distinct positive integers in the range {\displaystyle 1,2,…,n^{2}}

  • Each cell contains a different integer.
  • The sum of the integers in each row, column and diagonal is equal.[2]

So Where is the Plus One Factor?

Plus one factor here is the Liberty Bell
The Liberty Bell is an iconic symbol of American independence. Location is in Philadelphia, Pennsylvania. Eight people are in the picture. The plus one factor becomes the bell.

The plus one in number squares is one thing above and beyond  obvious definition on the number square. Let’s look at the application in geometry first. The 3 by 3 number square is the smallest that can be constructed. It has 2 parallel lines that intersect two more parallel lines.  Thus, 3 x 3 columns of vertical and horizontal numbers, are set on a 2 x 2 set of horizontal and vertical lines.  Note:  By custom, these parallel lines are not encased by a square. Surrounding these nine numbers by a square would then create 4 x 4 parallel lines. In a way, this hides the true nature of the number square in consideration.  Number square perimeters  should be left open ended as in the featured picture. I must confess, some of my earlier number square pictures are encased.

Here is the  mathematical plus one factor: This number square contains the numbers 1 to 9. Any straight row of three totals 15. Opposite numbers total ten. Hence, the following sets of numbers total 10: 4 + 6; 3 + 7; 8 + 2; and 9 + 1. The plus one factor becomes the total of the opposite numbers- 10. Ten is above and beyond the nine. It is not even notated on the prime number square; being invisible, like the Deity. So how does this apply in religious antiquity?

The 1st of the 10 Commandments is the Plus One Factor

The 10 Commandments are thus modeled on the 3 x 3 number square. The 1st commandment is actually not a commandment. It is a statement of the presence of the Deity who is above and beyond everything. He is invisible, like the number 10.  Compare it to the “colel” in numbers. That’s why in the 10 Commandments it becomes a statement as opposed the apparent nature of the other nine numbers.

 

Graphic Polarity Activation

Graphic Polarity Activation on the 3 x 3 Square

Graphic Polarity Activation on the 3 x 3 square. The prime number square of every higher number square is the 3 x 3. The complete, traditional, square is pictured at the bottom of the featured picture. There are a number of possible arrangements, possibly seven. However, the understanding of the distant past begins with this traditional. Many blogs on DSOworks are about this number square. Check them out by key word. They are free to view. I currently have some 570 posts about two primary subjects: (1) Music (2) Number squares. Most of the posts on number squares about the 3 x 3. It is the simplest, yet the most complex. Both of these subjects were the backbone of a former and lost Golden Age.

Graphic polarity activation uses Saturn as a model.
Saturn has numerous rings. The 3 x 3 number square has an infinity of perimeters.

The full set of rings, imaged as Saturn eclipsed the Sun from the vantage of the Cassini orbiter.  It was 1.2 million km distant, on 19 July 2013.  The brightness is exaggerated. Earth appears as a dot at 4 o’clock. Our planet can be seen between the G and E rings. Most important for this blog: The rings of Saturn are the most extensive ring system of any planet in the Solar System. Why is the important? There are three obvious perimeters around this number square. However, the number of possible rings goes to infinity.

Graphic Polarity Activation Instructions

Reference the traditional arrangement at the bottom as I point our a few of the possibilities. Also a have a number of internal links on infinity and this number square. Also, “perfect numbers” favor this number square. Ancients knew this. Today, our civilization does not. Of course, there once was a Golden Age. Today peace and plenty seem be  elusive. Here are a couple of such links on DSOworks.com:

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

High Perfect Numbers in Ancient Times

Graphic Polarity Activation on Isaiah 45:2-3 New International Version (NIV)

I will go before you
    and will level the mountains[a];
I will break down gates of bronze
    and cut through bars of iron.
I will give you hidden treasures,
    riches stored in secret places,
so that you may know that I am the Lord,
    the God of Israel, who summons you by name.

  • How does Isaiah allude to graphic polarity activation with the above? Look at the chapter number. It is 45. Total the numbers 1 to 9 in the grid. The order does not matter. Sum =  45.
  • Next, look at the two verse numbers of the Scripture. They they are verses 2 and 3. The sum of the verse numbers define the central number of the number square. 2 + 3 = 5. “Five” activates the entire system of all number squares. This is the smallest and prototype of all number squares.
  • Breaking the gates of brass and cutting through the bars of iron allude to reading the numbers without the grid. See the internal links above.
  • Specific applications will be covered in future blogs.
  • Please credit an Indian spirit from the Lennie Lenape tribe for my knowledge of this number square. Her haunt is Oquaga Lake at Scott’s Oquaga Lake House. I was Scott’s piano player for some 15 summer seasons. There, I encountered the spirit on hikes in the Catskill Mountains.
  • Image result for picture of Scott's Oquaga lake House
    Oquaga Lake is the haunt of the Oquaga spirit of the Lennie Lenape. The resort has been revitalized.  A number of the Marvelous Mrs. Maisel TV episodes were just filmed here. The cast and crew loved the place. Watch Oquaga Lake and Scott’s this coming season on the Marvelous Mrs. Maisal.

 

 

Traditional ancient arrangement of the 3 x 3 number square
This number square has been waiting for millennium to be reactivated.

 

Catskill Resort Celebration

Catskill Resort Celebration- my Home Away from Home

Catskill Resort Celebration- my Home Away from Home. The Catskill Mountain Resorts are coming back. It’s possibly starting with Scott’s Oquaga Lake House. I was the Scott’s piano player for some 15 years. Oh boy, are the Catskills coming back! They have just been the background for a wagon load full of prestigious top entertainment industry awards. Some of the list is below, in blue. Immediately below is the Catskill Mountain movie trail from The Marvelous Mrs. Maisel.

Catskill Resort Celebration at Scott’s Oquaga Lake House

Als0, below the picture is link to a special interview with one of the stars:  Rachel Brosnahan chats with Jimmy Fallon about the latest season of The Marvelous Mrs. Maisel. She talks about  years ago Scott’s turned down the filming of Dirty Dancing. The clip at Scotts, relatively new posts, have 75,00 views.

Rachel Brosnahan, winner of the award for best actress in a comedy series for "The Marvelous Mrs. Maisel", speaks in the press room at the 23rd annual Critics' Choice Awards at the Barker Hangar on Thursday, Jan. 11, 2018, in Santa Monica, Calif.
Photo of Rachel Brosnahan, winner of the award for best actress in a comedy series for “The Marvelous Mrs. Maisel”.

Above, Rachel is speaking in the press room at the 23rd annual Critics’ Choice Awards. It is at the Barker Hangar.  Date is Thursday, Jan. 11, 2018. Location is Santa Monica, Calif. (Jordan Strauss | Invision/AP)

More Catskill resort Celebration

https://www.facebook.com/
MaiselTV/videos/565286673939175/

 

Preview YouTube video Rachel Brosnahan Drops Hints About Season 2 of The Marvelous Mrs. Maisel
Rachel Brosnahan Drops Hints About Season 2 of The Marvelous Mrs. Maisel

 

Yes miracles still happen.  Just when everybody is ready to give the resort up, this happens. Scott’s will be featured in quite a number of episodes this coming year. I have been the piano player at Scott’s Oquaga Lake House over a span of some 15 years. Hard times hit the resort. Bus loads of people from Ontario, Canada stopped coming. This was due to higher taxes and added health insurance costs on group bus tours. A high percentage of their business was Canadian. In addition to to regular fair, Canadians loved the wilderness and seemingly magical feeling of this pristine, clear  lake.

More Catskill Resort Celebration

Here is one of my my contributions to Scott’s Oquaga Lake House: As Rubinoff and His Violin’s arranger and accompanist for over 15 years, I brought Rubinoff to the resort.  This was in 1984. At age 86 David Rubinoff also performed miracles. This youtube video is the only complete 44 minute+ concert of his in existence.He took America by storm in the 1930’s.  Please also enjoy this rare Scott’s video as I (David Ohrenstein) accompany this “legendary” violinist. He plays his Strad. It belonged to the Czars of Russia.

Lost Concert “Rubinoff and His Violin” on Oquaga Lake, 1984 – YouTube

 

https://www.youtube.com/watch?v=jujqLu-jrN8

 

Jun 22, 2015 – Uploaded by Lesley & Ohrenstein

In one of the final years of his life, renowned violinist Dave Rubinoff plays theStradivarius violin for an …

Extremely Humble King of Early American Music

Forgiving Audience for Rubinoff and His Violin

 


Some of the Awards for this “Marvelous” series:

The Marvelous Mrs. Maisel Awards Peabody Awards

Peabody Award
2018 · Amazon Studios


Primetime Emmy Award for Outstanding Lead Actress in a Comedy Series
2018 · Rachel Brosnahan


Primetime Emmy Award for Outstanding Supporting Actress in a Comedy Series
2018 · Alex Borstein


Primetime Emmy Award for Outstanding Comedy Series
2018


Primetime Emmy Award for Outstanding Casting for a Comedy Series
2018 · Cindy Tolan, Meredith Tucker, Jeanie Bacharach


Golden Globe Award for Best Performance by an Actress in a Television Series – Musical or Comedy
2018 · Rachel Brosnahan


Golden Globe Award for Best Television Series – Musical or Comedy
2018


Critics’ Choice Television Award for Best Actress in a Comedy Series
2018 · Rachel Brosnahan


TCA Award for Individual Achievement in Comedy
2018 · Rachel Brosnahan


Critics’ Choice Television Award for Best Comedy Series
2018

Last, but not least for my wife, Sharon, and myself. We wrote an opera comique entitled Patra. It will be showcased on Schroon lake in New York state this coming September  of2019. The American Center for New Works Development is sponsoring it under the auspices of the Seagle Music Colony. More details on our website.  DSOworks.com.  Patra has a banner heading. Exact date to be announced shortly. Don’t miss this event!

Hollywood nineteen thirties

Hollywood Nineteen Thirties under Rubinoff’s Baton

Hollywood Nineteen Thirties under Rubinoff’s Baton. I frequently blog about David Rubinoff and His Violin. That’s because I worked with him for over 15 years. My capacity was as his arranger and piano accompanist. The years spanned 1971 to 1986. In 1986 Dave passed away at age 89. He was the very model of musical success. This was especially true in Hollywood during the nineteen thirties. I’ll never forget the spontaneity of his reply when I said to him: “Mr Rubinoff, music has been good to you.” He immediately replied as a matter of factly, “Why, that’s because I’ve been good to music.”

You can now listen to a recent concert that I was honored to perform at with maestro Steven Greenman. Steve performs the Fiddler just as Rubinoff intended it. The Ted Lewis Big Band museum curator and conductor extraordinaire, Joseph Rubin, invited me in from Sarasota to play the concert honoring my friend and mentor, David Rubinoff.

Preview YouTube video Rubinoff’s Fiddler on the Roof – Violin and Piano

Hollywood Nineteen Thirties

Dave’s wife, Darlene Rubinoff, wrote a book about his life. Dave personally dictated it to her as she tape recorded his voice. Eloquence, sophistication, technical prowess,  passion and perfection marked his playing. But most of all he openly conveyed the love he had for his  audience. In return his audiences loved loved him. This was to the tune of hundreds of thousands annually in the 1930’s.  In this regard I must quote Mr. Rubinoff’s words through his angel of a wife, Darlene Azar Rubinoff:

Image result for picture of Darlene Rubinoff on DSOworks.com
The good looking couple, David and Darlene Rubinoff. I was honored by how well she treated me- like I was  one of her own family.

“I worked every  hour of the day and night, driving everyone with no conception of time, being only interested in my music and pleasing the public. My audiences screamed and applauded. They were after me night and day, waiting for me outside the stage door for a glimpse or for an autograph. I seldom refused them. They were the reason for my success. That is why I drove the orchestra and the arrangers so hard. I screamed, I cajoled. I even, on occasion, threw things in order to win my way. The amazing thing was, I was always right when it came to my music.”

Please enjoy the internal link below of the concert I gave with Rubinoff in the Catskills at Scott’s Oquaga Lake House.  The youtube link is at the end of the blog. It was over 30 years ago. Also, my wife Sharon and I have written a new opera entitled “Patra”.  The featured artwork is used by permission from the  “From Cairo With Love”  art gallery in Cairo, Egypt. It will be premiered in New York on Schroon Lake this coming September. Please read about the details under the “stage”on our front page of DSOworks.com.

Extremely Humble King of Early American Music

One Thread Spans the Globe in Antiquity

One Thread Spans the Globe in Antiquity. Who would think a simple rectangular courtyard in Tikal holds a key to understanding the past? 

One thread spans the globe
View of Mayan courtyard at Tikal. It uses same numbers and proportions as found in Marduk’s ziggurat and the Great Pyramid of Egypt. The connection with the Great Pyramid is in the internal link below.

Measurement Interchange on the Great Pyramid

Here is the comparison of  the numbers and proportions of the Tikal courtyard with the ziggurat at Ur. 
Tikal (/tiˈkɑːl/) (Tik’al in modern Mayan orthography) is the ruin of an ancient city. The location was likely to have been called Yax Mutal. It is found in a rain forest in Guatemala.[2] It  is one of the largest archaeological sites and urban centers of the pre-Columbian Maya civilization
To find the one thread between Tikal and Babylon look at the courtyard, It is in the featured picture. Ancient priests were interested in common numbers. This is regardless of the choice of ancient measure they used. It was the number that was key. 
The rectangular dimensions of the courtyard were 400 feet by 250 feet. These two numbers are in the ratio of  8 to five respectively. Here is the co-incidence: 

One Thread
The ziggurat was built in seven layers. Marduk’s residence was at the top. The unit of measure  used was called the “gar”. One gar equals 19.2 feet. Its essential rectangular dimensions were 4 x 2.5 gars. Note the similarity to the 400 to 250 feet of the courtyard under discussion. The proportions, obviously, are the same. The Great Pyramid, the Tikal court yard and Marduk’s residence  employ to 8 to 5 ratio.

Fibonacci Series Numbers
Interestingly, eight to five are part of a special series of numbers. These numbers are called the Fibonacci series. They go from 1,1,2,3,5,8,13,21,34,55…Each number to the right is the sum of the two previous numbers. The series is behind the law of natural growth. Yes, one thread does span the globe. Even more significant, it is a Fibonacci thread!
Measurement interchange is here.

Measurement Interchange on the Great Pyramid

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:

In repose, 2008
Antiquarian author, John Michell

“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

Measurement interchange of antiquity
This is the measurement interchange for the Great Pyramid of Egypt.

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:

Measurement Interchange was discovered here.
Meditating with one of my sons at sunset on beautiful Oquaga lake. It is perched some 2000 feet above sea level in the Catskill Mountains. The water is crystalline clear.

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

Here is the Measurement Interchange

  1. 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.
  2. 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.
  3. 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.

Future Telling as per the Oquaga Spirit – DSO Works

 

 

 

 

Mexican Pyramid of the Sun Outline of Base

Mexican Pyramid Squares the Circle

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

The Estate of R. Buckminster Fuller:

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.

Image result for Buckminster Fuller on DSOworks and internal link

Buckminster Fuller Archives – DSO Works

R. Buckminster Fuller, 1895 – 1983 | The Buckminster Fuller Institute

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?

 

 

 

One thread spans the globe

Mayan Egyptian Connection Spans Atlantic Ocean

Mayan Egyptian Connection Spans Atlantic Ocean. Who were the Mayans? The Maya developed their first civilization in the Preclassic period.[9] 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.[10]  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.[37]

Egyptian Mayan connection
Part of the courtyard at Tikal.

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.[9]

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:

Related imageLeonardo 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!

Here is an Egyptian Mayan connection
Five bar opening phrases of Beethoven’s 5th Symphony.

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.

Fibonacci Forgot the Number Squares

 

 

 

 

 

 

 

 

Steady Eddie taught the art of musical rhythm

Steady Eddie Had the Gift of Rhythm

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 .

"Steady Eddie" had impeccable musical rhythm.
Edmond DeMattia knew when to keep tempo, make an accelerando, and ritardando.

Wind Song Players in Concert under Maestro Edmond Demattia

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.

Image result for picture on DSOworks of John :Philip Sousa and Rubinoff
David Rubinoff and His Violin with American March King John Philip Sousa. I accompanied and arranged for Rubinoff, later in his life, for 15 years.

If you enjoyed this blog, please share it with friends. We can all be proud of our wonderful traditions!

6:03

 6:03
 https://www.youtube.com/watch?v=dCDtKdXtyX0

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