Fuller was all about how parts of a system interact. He was an engineer. My internal link immediately above applies interaction to number squares. In this regard, ancient civilizations were all about synergy. Click on the link to find out how.
Fuller divided dome history into two classes.
The 1st maintained the dome’s basic shape. It was elongated for swift directional functions.
The 2nd class evolved into the square. This represents most of the works of western civilization.
Fuller discusses how the 2nd class excludes science and its effects. It is a deterioration of structural principles. Class one shows domical scientific competence. It evolved from from grass basketry and wooden boats. Later it became the basis of aluminum and steel shipbuilding. More recently it has become aero-astro air frame power plant instrumentation.
Domes- From Boat to Residence
At first boats had the appearance of a sealed basket. These are depicted on Egyptian tombs dating back to 2500 B.C. In Scandinavia boats were used to build houses. There, upon reaching land, boats were overturned. Norsemen transformed them into a religious meeting building. Domes have universality of gravity and geometry in a most optimum fashion.
In part, I wrote this blog, to point out the wisdom of the ancients. I believe there once was a Golden Age. Why shouldn’t we reclaim it?
Characteristic Number Binders are Plus One. The word “pastries” suggests many kinds of baked products made from ingredients such as flour, sugar, milk, butter, shortening, baking powder, and eggs. Flour and eggs are binders that keep the ingredients together. Number squares also have binders. They are called characteristic numbers. Any two opposite numbers on the perimeter of such a square have a plus one effect on the total. Without these number binders, the number square could not exist. The 8 x 8 number square has 64 “houses”. Multiple perimeters around the center all share the +1 property. On the 8 x 8, the center consists of the four numbers: 37, 28, and 36, 29. Note some of the following 65 sequences. They are all characteristic number binders.
The center is also becomes a perimeter. For, 37 + 28 = 65. Or, 36 + 29 = 65.
Here are some other means of arriving at plus “1” totals of 65: Look at the yellow diagonal. 64 + 1 = 65. Or. 55 + 10 = 65. Again, 46 + 19 = 65.
Look at the brownish-orange diagonal, 57 + 8 = 65. Or 50 + 15 = 65.
Civilizations Everywhere Used 6 and 5 for units of building measure.
6/5 = 1.2 An Egyptian remen is 1.2165 feet.
6 x 5/6 + 5 = 2.727272…A megalithic yard is 2.72 feet.
6 x 6 x 6/5 x 5 x 5 = 1.728. The larger Egyptian cubit is 1.728 feet.
6²/5² = 1.44. One hundred and forty four is a Fibonacci number and a dozen dozens.
6 x 6 x 6 x 6 / 5 x 5 x 5 x 5 = 2.0736. Approximates the Palestinian cubit of 2.107 feet.
(6 to the 6th power) / (5 to the sixth power) = 2.979… By number this isis close to the three foot English yard.
Very important for Central America and the Mexican Pyramid of the Sun: The key unit of measure was the “hunab.” (See Peter Tompkins Mysteries of the Mexican Pyramids). The hunab is 3.41 feet. Again, the invaluable fives and sixes: (5 x 5 x 5) + (6 x 6 x 6) = 341. I took this information from my previous blog called “Measure Proves a Pre-Genesis Citadel in Mexico.” Click on the internal links below for more information
Look at the checkered 8 x 8 number square above. Any two opposite numbers going around the concentric perimeters total 65. The total is always the total number of squares plus one. It can be expressed by characteristic total = n² + 1. John Michell explains how the Great Pyramid of Egypt was based on this number square.
Characteristic Number Binders are the Plus One Part
The question becomes what did the plus “1” represent in antiquity? It represented the unity of all things with the Creator. Thus each ancient number square, through its characteristic number, touches the plus one concept. The one becomes: The “Ultimate“, the summum bonum, the “Absolute Infinite“, the “Transcendent“, or Existence or Being itself. We are about to have another Golden Age. Understanding number squares is one way to illuminate the path.
Characteristic Number Hides a Secret Code. Civilization has lost its touch with the past. A lost Golden Age was all about number squares. Two opposite numbers always totaled the same number. Our featured number square will be the 3 x 3. Its characteristic number is 10. Any two opposite numbers total 10. These include 9 + 1; 4 + 6; 3 + 7; and 2 + 8. First, where did I first learn about number squares? From the writings of British author, John Michell. Many of my blog are about the 3 x 3 number square. Below is an internal link to one of them. I However, I was able to take John Michell’s work a step further. This is because of an American Indian spirit guide from the Lennie Lenape. It all happened on Oquaga Lake (See picture below).
View the square 2 numbers at the time by opposites. Whereas two numbers that cross the center are paired in the same row. Their sum is always 110. Thus, 49 + 61 = 110. Or, 35 + 75 = 110. The 110 can be pulled out of the square in 16 ways. Thus, 16 X 110 = 1,760. The center then becomes 55. It is surrounded by 440
Characteristic Number Square List of Antiquity
The 3 x 3 is 10.
The 4 x 4 equals 17.
The 5 x 5 totals 26
The 6 x 6 is 37.
The 7 x 7 is 50.
The 8 x 8 is 65
The 9 x 9 is 82.
So where is the hidden number code? Take the prime characteristic number of the 3 x 3 number square. Its sum is 10 as described. Next, total the numbers from 1 to 10. They equal 55. You have just seen how the center of the 3 x 3 number square becomes 55 when viewed two numbers at the time. Today many scoff at this. The ancients of a lost Golden Age accepted it. My Indian spirit guide also offered a book of poetry, filled with her wisdom.
Ten eighty Billboard is on the Tree of Life. Pardon my quoting the title of Billboard Magazine. That being said, the blog is about 1080- not the hot 100. However, I thought it made a nice feature picture. First, what is a billboard? A billboard is a large outdoor advertising structure. It is typically found in high-traffic areas. Busy roads are preferred. Billboards present large advertisements to passing pedestrians and drivers. They typically showing witty slogans and distinctive visuals. Billboards are often highly visible in the top designated market areas.
At first glance, there is no 1080. Rather, we simply see the numbers 1 to 10 in the ten circles. Ten eighty on the Tree of Life billboard is hidden by invisible ink. It is also known as security ink. Invisible used for writing. It is invisible either on application or soon thereafter. Later be made visible by some means. Invisible ink is one form of steganography.
Finding the Ten Eighty Billboard
The Tree of life is outlined by 8 circles. They are circles 1,3,5,8,10,7,2, and 4. Circles 6 and 9 are contained within the octagon. The overall shape forms a type of octagon. Eight angles of any octagon total 1080°. Next, look at the heart of the “Tree”. It is called Tifereth. It is emanation six. Tiferet (“Adornment”, Hebrew: תפארת is the sixth sefira in the kabbalisticTree of Life. It has the common association of “Spirituality“, “Balance“, “Integration“, “Beauty“, “Miracles“, and “Compassion“. Could this be what Buddha meant by the eightfold noble path?
Eight paths lead to Tifereth. Count them. We thus have an inner octagon around the heart. Here is our 2nd 1080.
Next out third 1080: The Hebrew word for Tifereth is : תפארת. In Hebrew letters double as numbers. At one time there was no separate number system. Tav is 400. Pei is 80. Aleph is 1. Reisch is 200. Tav is 400. Thus, 400 +80 + 1 + 200 + 400 = 1081. One, the alpeph, present the center or presence of the One God in the 1080.
Rubinoff Concert is Shaping Up. It will take place in Circleville, Ohio. Don’t miss it. The date June 2, 2018. Promotion is about to begin for this historical event. I am honored to take part in this event.
Rubinoff Concert Highlights
To accompany violinist Steven Greenman – as I played for Rubinoff.
To featured a couple of our best arrangements. I worked with Rubinoff as his arranger and accompanist in the 1970’s and ’80’s. These include a medley from the Fiddler on the Roof. He was most proud of this number. He was raised in abject poverty in Russia. Victor Herbert heard him play at the Warsaw conservatory. He said to Rubinoff, “son you belong to America.” Herbert brought him and his entire family to Pittsburgh. Herbert was on a Sabbatical from the Pittsburgh Symphony at the time. Lucky me, I got to hear some of the fabulous stories about Herbert. One of my favorite was about how Victor Herbert composed his music. He had a tall night stand. He stood up as he wrote the music down. I guess conductors do a lot of standing.
Maestro Steven Greenman will play the violin. In the featured picture above, I am next to Rubinoff and His Violin. My capacity for some 15 years was as his arranger and accompanist. Joseph Rubin, will conduct the orchestra. He is also the curator of the Will Rogers Big Band Museum in Circleville.
In his research on Ted Lewis, Mr. Rubin discovered Ted’s original orchestrations in the basement of the Ted Lewis Museum in Circleville, Ohio. They laid untouched since his death in 1971. Mr. Rubin was appointed Curator of Music for the museum in 2012.
Before the June 2 performance I will give a half-hour on lecture my association with this great maestro. American loved him! He dedicated a good part of his life giving concerts for children in public schools. The United States State Department sponsored him. As such, “Rubinoff and His Violin” enriched the lives of countless American children.
Performer Composer Concept is Long Overdue. The idea for this blog came from: The Great Pianists- from Mozart to the Present. It is written by Harold C. Schonberg. He was the former senior music critic for the New York Times. I was quite taken with his text on John Baptist Cramer. What he wrote about can be applied to our current musical situation. From the following, I concluded that Cramer was instrumental in creating our current performer composer dichotomy.
Today, few pianists play their own compositions exclusively in concert. As a matter of fact, few pianists today even compose. It is all about other people’s music. The equivalent in the theatrical community is the entire genre of “tributes.” Thus, we have countless tributes to Rogers and Hammerstein, Steven Sondheim, Leonard Bernstein, etc. Pianists often feature one or two composers in their concerts. Beethoven seems to be preferred. Then comes some of the Romantics like Chopin or Schubert. Regardless, playing ones own music has fallen out of favor. As a result we have tribute after tribute. Sorry, but after a while this becomes “old hat.”
So How Did the Performer Composer Concept Come to be Abandoned?
First, who was John Baptist Cramer? Johann Baptist Cramer (24 February 1771 – 16 April 1858) was an English pianist and composer of German origin. He was the son of Wilhelm Cramer. His father was a famous London violinist and conductor. The family is identified with the progress of music during the 18th and 19th centuries. My knowledge of him is through his masterful book of piano etudes entitled: gradus ad Parnassum. It translates from Latin to”steps to Parnassus”. It is sometimes shortened to gradus. The name Parnassus was used to denote the loftiest part of a mountain range in central Greece. It is a few miles north of Delphi. In Greek mythology, one of the peaks was sacred to Apollo and the nine Muses. It had two peaks. One dedicated to inspiring deities of the arts. The other to Dionysus.
As per Schonberg, Cramer was one of the 1st pianists to feature music other than his own in concerts. He especially performed Mozart and Bach. I personally am a great believer in cycles. With few exceptions, pianist composers have left the scene. Witness the return. I hope to be a leader in this way. Enjoy my compositions at the Gasparilla Inn.
Plato is my friend — Aristotle is my friend — but my greatest friend is truth.
So What Are Ten Eighty Musings?
First, to define 1080. Numbers, in the lost past, had associations. 1080 was lunar and terrestrial. The establish four elements were earth, air fir and water. 1080 was water. It expressed the Moon’s influence on the cycles of nature.With the psyche, it represents intuition. Ten eighty guides the unconscious mind.
So where does 1080 figure into today’s theme? First, let’s look at the ancient attitude to “zero”. It wasn’t a real number. It was synthetic. Ten was a combination of two opposite numbers on the 3 x 3 number square. Therefore, past civilizations could read 1080 as 18. They had the option of reading it as 108.
So how were Ten Eighty Musings Used By Advanced, Lost Civilizations, Including Atlantis?
Day of Week
Note the Moon. Its diameter was taken on 1080 miles. Its metal was silver. Note silver’s standard atomic weight average of 107.8682(2).
Earth Moon System and 27 x 27 Number Square. The barycenter is the center of mass of two or more bodies that are orbiting each other. Earth and Moon have a shared barycenter. As such they are a dual planetary system. Barycenters are an important concept astronomy and astrophysics. This is the case for the Earth–Moon system. The barycenter is located on average 2,902 mi from the Earth’s center. This is well within the planet’s radius of 3,963 miles.
What do things have in common? That was the definition of wisdom in antiquity. Look at the internal link just above. Above, this Moon link applies to our four types of musical triads.
Earth Moon system and the 27 x 27 number square
Four Hundred Fortieth Post Defines Genesis You might want to review the previous post. My current post (441) is simply a continuation. The common Earth based system for both is implied on the 27 x 27 number square. Here’s how:
Look at the core number of this number square. It is numbered three hundred and sixty-five. That defines the days of our solar year. Its core is the essence of any number square.
Look at the white diagonal from #352 to #378. Each each lunation is approximately 291⁄2 days (29 days, 12 hours, 44 minutes, 3 seconds, or 29.530588 days). It is common for the months of a lunar calendar to alternate between 29 and 30 days. There are twelve such lunations. The Lunar year is is therefore 354 days, 8 hours, 48 minutes, 34 seconds (354.367056 days). Both 354 and 355 are included in this same diagonal.
Both the timing of the the Earth and Moon are found the the aforementioned diagonal line. The Earth is the main and central planet. The Moon has its center of gravity on the same diagonal. Likewise, Moon is part of the 365 day Earth based system.
At one time civilization was structured by number squares. It was a time of peace and prosperity. Does that describe the legend of Atlantis? Plato describes in Critias what his grandfather was told by King Solon. Solon heard the story from the Egyptians. Atlantis was a mighty power based on an island in the Atlantic Ocean. Perhaps, over time, they also lost their interaction with number squares? Many blogs on DSOworks.com cover number square mathematics.
Four Hundred Fortieth Post Defines Genesis 1:1. The explanation involves a few steps. We begin with the 27 x 27 number square. Notice the straight track. The track is the line of the diagonal from numbers 352 to 378. Also notice, it includes numbers that define the 365 days of the solar year, We also have the 354 days of the lunar year. Please note: 365 is the exact central number of the number square. Earth days sit directly at the center. Then take a compass to this square. Draw a circle from center point 365. Make the circumference pass through square 354. You have a model for the Moon rotating around the Sun. The number of days it takes for each are specified. My source for the featured picture is Magic Squares and Cubes by W.S. Andrews. Antiquity and knowledge of number squares went hand in hand.
A lunar calendar is a calendar based upon the monthly cycles of the Moon‘s phases (synodic months), in contrast to solar calendars, whose annual cycles are based only directly upon the solar year. Each lunation is approximately 291⁄2 days. it Is common for the months of a lunar calendar to alternate between 29 and 30 days. A lunar year, is 354.367056 days. I have two internal links. If you have the time, you can read them for background.
Creation: Phi & Exponential factor are in Genesis 1:1 – DSO Works -Below is a short quote from the Creation blog. It points to the basic use of number 27. In the past, numbers squares crossed borders into geometry and vice versa. Buckminster Fuller would call this “synergy.” Today we do not think of numbers in this manner. Our way of thinking believes that numbers are pure and abstract in themselves. Not so in the past!
The 1st sentence of Genesis equals in Hebrew is 2701. One (#1) was often added by tradition of Colel. “Colel” represented the singular Deity, Here is the source of the hidden 27 of Genesis . The simplest number square is the “grain of mustard seed. Ancients named it the square of Saturn. Today we call it the 3 x 3 number square
Why is this called the four hundred fortieth post?
Add the numbers around the central 5. The eight numbers total 40. Then add them two at the time overlapping the numbers: 49 + 92 + 27 + 76 + 61 + 18 + 83 + 34 = 440. This number is my key blog phrase – four hundred fortieth post. .
Now take the numbers three at the time. Overlap the four sets of triple numbers around the perimeter as: 492 + 276 + 618 + 834 = 2,220. They come to the same totals when added in reverse. Let (P) stand for perimeter.
Then (p-1) is 40 + (P-2) is 440 + ( P-3) is 2,220 = 2700. Add one for the Deity and you have 2701. They knew the 27 x 27 number square held our planetary timing numbers. Zero was not recognized as an independent number in antiquity. It was considered synthetic.
A lost civilization synergetically set out 2700 total of these 3 perimeters. They knew the 27 x 27 number square held our planetary timing numbers.They ascribed it to the 27 x 27 number square’s diagonal of the featured picture.
Operatic Broadway – Blurring the Lines Has Precedent. A number of modern musicals cross over into operatic territory. Opera is an art form in which singers and musicians perform a dramatic work. It combines text (libretto) and musical score. Opera usiually has usually in a theatrical setting. Singers do two types of singing: recitative, a speech-inflected style . The second are arias, a more melodic style. Opera incorporates many of the elements of spoken theatre, such as acting, scenery, and costumes and sometimes includes dance. Traditionally, it is sung all the way through. Musical theater, on the other hand has featured songs. However, most of its book is spoken. Recently there has been more and more cross over between opera and musical theater. They include Rent, Les Mis and The Phantom of the Opera.
Blurring Musical Vocal Boundaries Has a Romantic Precedent
The oratorio dates back to the 1500’s. It reached a climax under hand of Handel. The Romantic movement of the 19th century revived his ideals. Like Handel, with the Romantic composers, half were written in a Biblical or religious vein. The other half was secular or historical. There was only one difference: Handle’s historical oratorios were limited to either classical Greek or ancient. Handel examples include Hercules, Semele, “Alexander’s Feast”, or Alceste. Romantic oratorios had a broader scope. Instrumental works took on more significance. Here are a couple of examples:
Berlioz’s Romeo and Juliet is somewhere between a symphony and a cantata.
The Damnation of Faust, Op. 24 is a work for four solo voices, full seven-part chorus, large children’s chorus and orchestra by the French composer Hector Berlioz. He called it a “légende dramatique” (dramatic legend). It was first performed at the Opéra-Comique in Paris on 6 December 1846. It has been seen as a symphony, oratorio or opera.
Operatic Broadway is Simply Following in this Precedent of Mixed Tradition
I, blogger David, have been the composer of three such works, My book-writer lyricist has been my wife Sharon Lesley Ohrenstein. Check out the internal link above for some quite exciting live examples. Sharon plays Cleopatra. Contact us on DSOworks@gmail.com if you are interested in our up and coming works. We need a new sound for the new times we are entering. This translates into meaningful income.