poetry signals change

Poetry signals Change is About to Happen

Poetry signals Change is in the Air. Said another way: When there is no poetry of quality then musical quality takes a nose dive. This is not only my own observation. As my resource I quote  Music by Frederic V. Grunfeld. The book I read it in is published by Newsweek Books out of New York. Place and year- Mondadaori, Verona, Italy,  1974.

Poetry Signals Change – Poetry (magazine) Cover Copy Below

Poetry (founded as Poetry: A Magazine of Verse) has been published in Chicago since 1912. It is one of the leading monthly poetry journals in the English.  Poetry is founded by Harriet Monroe and now published by the Poetry Foundation. It is currently edited by Don Share

Those who decry the primitivism of today’s music along with its limited scope, need to look for another Heinrich Heine type figure. Indeed, so many “songs” use about three or four repeated notes or thrive on platitudes and vulgarity. I have already mentioned him on DSOworks in the internal link below. The problem is where is our Henrich Heine for this present day and age?

Poetic Import in Signaling Historic Changes

We Must Return to Beautiful Poetry

As a writer of poetry, I am inspired by the same place at which the Marvelous Mrs. Maisel was filmed for this coming season: Scott’s Oquaga Lake House on Oquaga Lake. The beauty and enchantment of the lake knows no limits.

Here is an excerpt from my poem called “Fun.” It describes this setting in some detail.

The diving platform is located
End the end of the extended dock.
Canoes and kayaks are nearby
The woods where the birds do flock.

The swimming area is marked
By yellow balls on rope
Fastened to a rubber raft
Beyond which the lake has slope.

A second dock is to the left
With a speedboat at its end.
On its left we find a showboat
Built just for voices to blend.

A playhouse is to the rear
Grand piano is set on stage
Near bowling ping-pong and pool
Games all quite the rage!

Do yourself a favor and make a pilgrimage to Oquaga Lake and visit Scott’s Hotel. A number of doctors from India did just that! All this beauty and memorabilia can be yours to enjoy.  Revive that ancient poetic feeling so many once had. And please share this post!

Here is a fun external link to our other website, Reviving Antiquity.com. Four Flatted Scorpio Refers to Key Signature

 

 

piano competitions

Piano Competitions Have Judges on Edge

Piano Competitions Have Judges on Edge. My source is an excellent book on piano playing. David Dubal wrote it: “Reflections from the Keyboard”. He interviews numerous keyboard artists about their trials and tribulations. Being a judge at competitions is also certainly trying. Why?  I felt that pianist Jorge Bolet was particularly relevant in this regard.

 

Image result for pictures of record jacket by pianist Pierre Bolet
A great master at the piano.

Bolet emphasizes how perfection is expected with piano playing. This is primarily due to the recording industry. He believes this has destroyed  a great deal of “music making.”  That is because recordings are of such mechanical perfection that any imperfection in actual performance is severely frowned upon. The other source of homogeneous playing is competitions.

Bolet on Piano Competitions

This piano legend actually states “Competitions have done more harm to piano playing than anything else.” In many competitions there are some 15 judge. Those he enter have to try to get all the votes. To do this they must not antagonize any of the judges in any way. Nothing must be different or worse yet, controversial. Any personal idea is shunned and looked down upon. Bolet states that as a result whether you listen to 10, 20 or 30 pianists, they all play alike. That affects the status of piano playing in general. No one becomes outstanding.

My Own Piano Instructor- Mischa Kottler

My own teacher was Mischa Kottler. He was the official pianist with the Detroit Symphony Orchestra. Mischa also directed the music at WJR in Detroit. His waiting list for students was incredibly long. Once you got to start, he often went with the Symphony on tour. I grew up in Detroit. Listen to him playing Chopin’s Minute Waltz. He actually plays the difficult passages with double notes in the right hand. The main help I credit with is avoiding hand injuries at the piano. He taught:  (1) Hand positions, (2) The proper way to scales and arpeggios.  (3) Showed me the regimen that I still practice daily. (4) How to play with a singing tone. (5) How to: “Present the melody on a silver platter.” (6) Above all else: He was a fanatic about proper fingering. Mischa never seemed satisfied with  editors. He learned his art and fingering from Alfred Cortot and Emil von Sauer in Paris in Vienna in the 1920’s. Would he have lost at a piano competition for his originality? Perhaps?

So What Am I doing Now?

I’ve never been so busy. I’ve just return from New York where my wife and I workshopped our original opera, Patra. All our singers had won auditions with the NY Met Opera. Check out our Patra website, Patraopera.com. Professionally I play 52 weeks a year. I’m scheduled to play my 11th winter season in Boca Grande at the Gasparilla Inn.  The owners have just reconditioned their Steinway Grand from 1924. You be the judge: Are piano competitions necessary? Perhaps.

 

Even in his 80’s and 90’s his abilities were stellar.

3:47

Ten minute Musical Bliss

Ten Minute Musical Bliss of Rubinoff and His Violin

Ten Minute Musical Bliss of Rubinoff and His Violin https://www.youtube.com/watch?v=QUz-LOrzTQU. Like fine wine, musicians and artists improve with age. Dave Rubinoff is much too ignored today. That is due to the jealousy of the 100% pure classical musicians. Indeed, I even wonder how many pure symphonic musicians are left to be found today. It seems like so many are crossing the lines into the popular field.

Even as of recently, Dave Rubinoff refuses to give up the ghost. This is true even some 35 years after he passed away. Maestro, conductor, and curator Joseph Rubin (not related to Rubinoff except in spirit) gave a concert commemorating this great artist last summer. I was called to appear with violinist extraordinaire, Steven Greenman. It was  held at the  Circleville High School near Colombus, Ohio. Maestro Greenman had just returned from a tour of Poland. Among other places, he played the most haunting melodies in the synagogue in Cracow. Below was the itinerary Maestro Rubin sent me for the Circleville. Ohio concert.

Ten minute musical bliss
During the Great Depression, Rubinoff and His Violin had stellar income- as much as $500,000.00 a year during some years. This would be like millions today. For the Ten Minute Musical Bliss, go to the youtube connection given above. If you’ve ever heard a violinist/conductor with such precision, speed and musicality with movie star quality, let me know.

Witness Another Ten Minute Musical Bliss with Steven Greenman and I playing the Rubinoff’s Fiddler

Friday, June 1 (2017)
Around 3 PM – Rehearse Fiddler Medley with Steven Greenman, location TBA
7-9:30 PM – Orchestra Rehearsal at Circleville High School
Saturday, June 2
11 am – Rehearse Fiddler Medley with Steven Greenman
2-4:30 pm- Orchestra Rehearsal at Circleville High School
6:30 PM – Pre-show lecture at High School
7-9 PM Concert at High School
9-10:30 PM Post show VIP reception at High School
Copy and paste the youtube link above to see what success is obtainable by playing incredibly well what the general public enjoys. I was thrilled to work so many years with this man.
Patra Workshop

Patra Workshop to debut New York this September

Patra Workshop to debut in New York. Patra is the shorter name for Cleopatra. Queen of Egypt, she was one of the most famous women in history. Her full name was Cleopatra VII Thea Philopator (69 BC – 12 August 30 BC). She was the last of the Pharaohs set up in Egypt by Alexander the Great. By descent, she was a Macedonian Princess. It will appear off book in  the workshop. Our singers will literally be top notch.  My wife, Sharon is the librettist and a co-composer of Patra. . I, husband David, am also a composer. Before going to NY, it will have a staged concert presentation. This will be in  Sarasota Fl at the newly built Sarasota Westcoast Black Theater.  Our casts in both NY and Fla are busy rehearsing.  Here’s the gist:

Cleopatra had stopped the onslaught of two invading Roman generals through love. She thus neutralized the worst effects of their invasions by marrying the generals. Patra had children with each.  They were, first,  Julius Caesar and later Marc Antony.

Image result for patraopera,com

Patra Workshop

Enter Octavian, a third Roman invader. She almost stops his aggression through love. In order to save her children, she follows the way of the warrior: An honorable death. If she she married Octavian and moved to Rome, both her and her children would have been seen as a threat to the Roman triumvirate.  Our opera features Patra and Octavian’s encounter. In the opera she convinces him to become Augustus Caesar- 1st emperor of Rome   Later, as a result, he honors her by placing  a statue of her in the Temple of Venus in Rome. The statue was displayed exemplifying her as the good mother.

Patra has memorable melodies, Latin rhythms and most important – a gripping story. Sample our music on Patraopera.com.

PATRA News!!!
See PATRA in Sarasota before it goes to New York !!
Presented in Sarasota for One Night Only
Before heading to New York in September, our new opera PATRA will be presented as a concert reading in Sarasota. The complete opera will be presented on Fri. July 19 at the new Westcoast Black Theatre at 6:30 pm.

The New York Workshop

PATRA has been selected for a fully-staged professional workshop in upstate New York at the Seagle Music Colony in Schroon Lake. The American Center for New Works Development at Seagle has work shopped pieces by many award-winning writers like Stephen Schwartz, Mark Adamo, Kevin Putts and more.
Patraopera.com
This setting on Schroon Lake, NY gave birth to many new works by great theatrical and operatic writers. Also, the chosen singers are engaged by American and European opera companies in this setting.

Patra Workshop – the Story

PATRA is loosely based on Cleopatra’s final days.  When the villainous Octavian dangles a marriage proposal before Cleopatra, she hopes to secure a future for herself and her children. Yet, things do not go as he planned. Cleopatra’s love challenges Octavian and transforms him into a new man.  PATRA has five singing roles. Our great Sarasota cast is listed below.
Writer, co-composer, librettist states: “When I began the eleven month rewrite of our more tragic Octavian & Cleopatra, I wanted to lighten the work and give it a popular bent.  I cut two singing roles and added a dancer.  Then, I infused comedy, lively dance rhythms, a small amount of spoken dialogue and a surprise at every turn.  Most of all, I showcased the singer.  I did something rather unusual in any musical or opera I created numerous dramatic moments where the instrumental accompaniment is silent. Only singing voices are heard.”
 PATRA  is an opera comique:  It uses techniques from  Bizet’s Carmen and  Bernstein’s  The West Side Story. .

Patra Concert Presentation

The WBTT concert has a $20 suggested donation ticket price to be paid at the door.  For an advance reserved seat visit GoFundMe.com/PatraOpera, make a donation and in the notes write WBTT ticket.  Westcoast Black Theatre is located at 1012 N Orange Ave, Sarasota, FL 34236.
CONTACT: Sharon Ohrenstein at 941-724-1199 or slohrenstein@gmail.com. only about the above events.  THANK YOU!
Image result for patraopera.com
Our masthead for the opera used with permission of the art gallery: From Cairo with Love. located, in Cairo Egypt and its creator,  Kadir.
PATRA
Libretto by Sharon Ohrenstein
Music by David Ohrenstein and Sharon Ohrenstein
Our terrific Sarasota CAST
Kathryn Parks as Cleopatra, Joseph Ryan as Octavian, Carole Cornman as Iras, Robyn Rocklein as Charmian, and Baron Garriott as Marcellus.  Pianist Teresa O’Connell will accompany the shows.
Dancer Vanessa Russo, currently based in Sarasota, has been hired for the New York Patra workshop workshop. Only singers will be performing in Sarasota.

Background for the Patra Workshop: About Ohrenstein and Ohrenstein

Musical theater writers and performers, Sharon and David Ohrenstein have performed internationally from Canada to Honduras. Their musicals, Octavian and Cleopatra, Our Golda, and Elizabeth of Russia have been produced in Florida and New York to remarkable reviews.  Sharon was honored to be chosen an Amazing Woman of the Suncoast by ABC 7.  David’s chamber compositions for wind ensembles and larger works for concert band have had world premieres in New York, Ontario, Ohio and Florida. David just finished his tenth season at the Gasparilla Inn where he plays for U.S. presidents and other dignitaries. For more information visit Patraopera.com. Here is an internal link to a ballet I, David,  wrote: Zodiac Dance Demonstrates Extremes from Ballet to Modern

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Singer composer concept is returning

Singer Composer Was the Creator of Opera

Singer Composer Was the Creator of Opera. Today, many do not think of singers as the creators of opera. In the early 1700’s they were. The taste in Naples, Italy at that time, dictated how opera was created. That taste was manifested in the love of vocal display. Popular idols were made of singers. Theodore M. Finney writes in a History of Music: The composers became “a kind of formality that had within it the seed of artistic sterility and death.”

Singer composer phenomenon sent many composer fleeing.
The new singer composer phenomenon  caused composer Alessandro Scarlatti to leave Naples in 1725.

 

What Happened to Opera as a Result of the Singer Composer Phenomenon?

Many composers at that time would write scores of historical interest. However, they had little if any musical interest. Opera composers turned from opera to writing for other mediums, such as instrumental. Society in Italy mainly fawned over virtuosity in musical drama. This gave rise to the Golden Age of Bel Canto. Francesco Bernardi, for example,  loaded his adagios with countless ornaments. Opera singers became heroes. Hogarth immortalizes a singer in one of his arias in The Rakes Progress: He receives the adulation of a lady who says: “One God, one Farinelli.” The composer was reduced to the sideman.

As a matter of fact, the admiration of opera singers of the at time was so tremendous that most were totally unconcerned with the excellence of an opera itself.  For that reason the music of many operas had nothing more than a figured bass and perhaps the outline of a melody. They singer flushed out the rest of the opera. The singer was also the primary composer. Figured bass, or thoroughbass, is a kind of musical notation in which numerals and symbols (often accidentals) are used. They indicate intervalschords, and non-chord tones that a musician is to play.  Historically this was most often applied to   pianoharpsichordorgan, and  lute. 

Example of writing style with figured bass.

Melody from the opening of Henry Purcell‘s “Thy Hand, Belinda”, Dido and Aeneas (1689) with figured bass below (About this soundPlay 

 

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.

 

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

 

 

 

 

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