Women out West: Rodeo. Copeland wrote Rodeo in 1942 as a Ballet in One Act. The Ballet Russe of Monte Carlo commissioned choreographer Agnes de Mille to collaborate with Aaron Copeland on the Rodeo project. I found a score arranged for piano. The arrangement is copyrighted by the Aaron Copland Fund for Music. It was printed in 1962. It has six principle sections:
First Episode: Buckaroo Holiday
Second Episode: Corral Nocturne
Ranch House Party
Third Episode: Saturday Night Waltz
Fourth Episode: Hoe-Down
Women Out West Had to Find Suitable Men!
Basically, throughout the American southwest, the Saturday afternoon rodeo was a tradition. Usually, it was followed by an evening dance at the Ranch House. Copland’s Rodeo uses this basic western concept. As a matter of fact dating between the sexes was problem confronting all American women since early pioneer times. The question has been how to get a suitable man? Most likely, it is still a problem everywhere.
Women Out West Relished the Saturday Evening Dance.
On Saturday evening, after the Rodeo, social time was shared by dancing the square dance. The principle theme of Copland’s Hoe-Down in Rodeo uses a square dance tune called Bonypart. Of course this is a humorous reference to Napoleon Bonaparte.
Agnes de Mille describes the basic concept for choreography: “Throughout the American Southwest, the … dance was a tradition. On the remote ranches, as well as in trading centers and the towns, the “hands” get together to show off their skill in roping, riding, branding and throwing. Often, on the more isolated ranches, the rodeo is done for an audience that consisted only of a handful of fellow-workers and women-folk. Any neighbors that attended often had to do an eighty mile or so run-over to witness the event.”
I, the blogger, also wrote a ballet called The Dance of the Zodiac. It also features the bull, as in the rodeo. Only it appears as the symbol of Taurus. Enjoy this internal link to my own ballet.
Hidden Harmony Number 272 in the 4 x 4 Square. The 4 x 4 number square draws on Jupiter. Firstly, its enhances harmonious relationships. The definition of harmonious is: (1) Things that go well together. (2) People that get along well. When you get along with someone and rarely fight, that is an example of a harmonious relationship. Below is an external link on Jupiter. Underneath that are some internal links.
Enhancing Jupiter – This planet was associated with luck, fortune and wealth
Plato refers to the 272 as the number of harmony in his Canon. Harmonia was the wife of Cadmus. Her name in Greek, spelled with the letters add up to 272. This is by the rules of gematria. Check this word out online. Here is one connection between the 4 x 4 number square of Jupiter and harmony. Total all the numbers from 1 – 16 on this square. The sum is 136. Multiply 136 x 2 = 272.
Below is a second connection with number 272 found on the 4 x 4 square. That is the subject of this blog.
Here’s a 2nd way to find Hidden Harmony
Take the central four numbers. They are in lighter purple. Multiply them as follows: (6 x 11) and (7 x 10). Add their products together as 66 + 70 = 136. That is one half of the 272 total.
Ancient tradition also totaled numbers around the perimeter by sides. Here I overlap corner numbers: Thus we have: 1 + 15 + 14 + 4 = 34. Next we find that 4 + 9 + 5 + 16 = 34. The bottom side is the sum of 16 + 2 + 3 + 13 = 34. Finally we have 13 + 8 + 12 + 1 = 34. Total the sum of these four sides as follows: 34 + 34 + 34 + 34 = 136.
Finally let’s take the product arrived at by cross multiplication of the central four as effected in #1. It is 136. Add it to the product of sum of the four-sided perimeter total as in #2. That total is also 136. Add these two numbers as 136 + 136 = 272. As if by magic, Plato’s great number of harmony is found!
Zodiac Dance Demonstrates Extremes from Ballet to Modern. I thought it would be fun to write and premier a ballet on the zodiac. What a project! First of all, for a number years I accompanied classes at the Florida Ballet Arts School in Sarasota. Lynn Winslow, the artistic director, was quite kind to me. My rhythm, back then, used to be sometimes, in places, not quite spot on. She would tell her dancers: “This happens in the real world. You sometimes have to make adjustments for the accompaniment in an actual performance. This can be true of any live music.”. Thank goodness, my rhythm, like fine wine, has improved with age.
I always wrote music. Actually, before I was an accomplished pianist, I composed difficult works. But what was it that got me interested in the zodiac? Like many before me, I worked out a connection between music, the planets and the zodiac signs. The connection was thought of some years previous to my ballet involvement. The result was the World Premiere of the Dance of the Zodiac. In addition to an introduction and finale, it has 12 vignettes. One features each zodiac sign.
The Dance of the Zodiac had a full 45 minute presentation by the Florida Ballet Arts Ensemble under the choreography and direction of Lynn Winslow and S, Fairwhether. See newspaper article.
Moonlight on the Lake by composer/pianist David Ohrenstein – YouTube
Below is a sample of my composing. It was done on a warhorse of a piano in the Catskill Mountains at Scott’s Oquaga Lake House. However, it does offer a sample of my composing. Most recently I have been co-composing an opera comique with my wife, Sharon. Very big news is in the making with this 2 hour long work. Announcements will be forthcoming. It is still under wraps.
Look at the odd numbered number squares of antiquity. In this regard, we view:
The 3 x 3 number square of Saturn.
The 5 x 5 number square of Mars.
The 7 x 7 number square of Venus.
The 9 x 9 number square of the Moon.
Hidden Periodic Chart Sequence –
What is the Sequence? It is the vertical difference in numbers set by the first row of the chart. We have the following:
Incredible Symmetry Between the Periodic Chart and Odd Numbered Squares of the Ancients
The master number square of the ancients is the 3 x 3. Please check the internal link below for further explanation through geometry. It also holds the vertical sequence in code by the lines of its graph. However it incredibly sets the numerical pattern in motion. The total picture of illustrated by squares of Saturn, Venus, Mars and the Moon clearly reveal the numbers of the periodic sequence. Thus we have the sequence by geometrical ratios and by actual numbers.
Hidden Periodic Chart Sequence is Uncovered in Odd Number Squares
The ancient number square sequence is in the same perfect order. View the odd numbered squares as follows: Locate the one number in the center of the oddly numbered squares. Then look diagonally at two numbers as follows: (1) Immediately above and to the right. (2) Immediately below and to the left.
Here are the first two such diagonal numbers of the 3 x 3 Square of Saturn: 2 and 8.
Next look at the 5 x 5 of Mars. We have the 8 and 18 in diagonal with the central 13.
Next we have the 7 x 7 of Venus. We have the 18 and the 32 in diagonal with the center. That completes the main defining numbers of the periodic chart however, let’s continue the sequence.
Look at the 9 x 9 of the Moon. We have 32 and 50. Here is a special case. When we add 32 + 50 = 82. This is the highest atomic number of a non-radioactive element. It effectively completes the stable elemental series.
Why the planetary associations? This does not prove a lost ancient, advanced civilization that used number squares instead of our periodic chart. But it makes the likelihood slightly greater than previously thought.
Geometrical Theology Relates to Number Squares. God is an infinite circle whose center is everywhere and whose circumference is nowhere. This was stated by Nicholas Cuse- Nicholas of Cusa (1401 – August 11, 1464) was a Germanphilosopher, theologian, jurist, astronomer, cardinal and mystic of the Catholic Church. . Later Voltaire quoted the same definition. Voltaire rejected Blaise Pascal‘s philosophy of man’s depravity. He tried to steer a middle course: That meant that man was able to find moral virtue through reason. Because of this criticism of the church, he was denied burial in church ground. I use these two examples for the quote. for two contrasting reasons
This is because the quote by Nicholas was religious and traditional.
Voltaire’s was not religious in a traditional sense.
This blog offers a novel interpretation of the above quote. An archaeologist digs for lost artifacts. A philosopher digs for lost knowledge. There is only one number square whose center is everywhere. You could say the center even usurps the circumference when the square is encased by concentric circles. This is as illustrated in the featured picture.
How Geometrical Theology Relates to the 4 x 4 Number Square
Both the center and circumference of the of the 4 x 4 number square are filled by the essence of number 34. First, at the central point of any even number square are four numbers. This first even 4 x 4 square is the prime example. 7,10,11 and 6 occupy the center. Center’s sum = 34. Any straight row of 4 numbers also totals 34. This also applies to the four rows that make the perimeter. Hence each of the the four quadrants of the circle around this number square total 34. Thirty-four is one of the Fibonacci numbers.
Center total: 7 + 10 + 6 + 11 = 34.
Quadrant Perimeter totals:
4 + 14 + 15 + 1 =34.
1 + 12 + 8 + 13 = 34
13 + 3 + 2 + 16 = 34
Finally, 16 + 5 + 9 + 4 = 34.
More on Geometrical Theology Based on Number 34
If God’s center is everywhere, that means it is also defines the circumference. The center is literally everywhere in this number square. Therefore, this number square becomes the numerical symbolic translation of the featured quote: God is an infinite circle whose center is everywhere and whose circumference is nowhere. The center by number 34 occupies the quadrants of the the circumference. Also see internal link below.
Remarkable Foursome is a Mathematical Wonder. It presents quite a take on the Fibonacci number series. It develops into what is called the Golden Ratio. But the fascination with the Golden Ratio is not confined just to mathematicians. Biologists, artists, musicians, historians, architects, psychologists, and even mystics have pondered and debated the basis of its ubiquity and appeal. The Golden Ratio has inspired thinkers of all disciplines like no other number in the history of mathematics. What sequence defines this series? Eventually the second of two consecutive numbers divided by the 1st = the Golden ratio: φ is the symbol for this ratio.
In mathematics, the Fibonacci numbers are the numbers in a specific integer sequence. Their defining feature is every number after the first two is the sum of the two preceding ones:}
At 1st glance the “foursome” number square and Fibonacci seem in-congruent. But the remarkable foursome fuses the numbers on the 4 x 4 square as follows: Examine it numbers vertically left to right:
First row: 4 + 9 = 13. Then 5 + 16 = 21.
Second row: 14 + 7 = 21. Then 11 + 2 = 13.
Third row 15 + 6 =21. Then 10 + 3 = 13.
Fourth row: 1 + 12 = 13. Then 7 + 13 = 21.
All total are either 13 or 21. Of course, 13 = 21 = 34. This is just the tip of the iceberg. Fibonacci numbers on the square go further. Again look at the numbers vertically. Consider the four vertical rows again. This time add every other number as follows:
Row one: 4 + 5 = 9. Then 9 + 16 = 25.
Row two: 14 + 11 = 25. Then 7 + 2 = 9.
Row three: 15 + 10 = 25. Then 6 + 3 = 9.
Row four. 1 + 8 = 9. Then 12 + 13 = 25.
I know what my reader is thinking: 25 and 9 are not in the Fibonacci series. But, yes they are. Three and five are both Fibonacci numbers:
3² = 9.
5² = 25.
Mathematician Mark Barr proposed using the first letter in the name of Greek sculptor Phidias, phi, to symbolize the golden ratio. Usually, the lowercase form (φ or φ) is used.
Michael Maestlin, first to publish a decimal approximation of the golden ratio, in 1597.
The golden ratio has been claimed to have held a special fascination for at least 2,400 years, although without reliable evidence. According to Mario Livio.
Number Square of the Remarkable Foursome
Number squares were once the backbone of a lost civilization. This time marked a Golden Age of peace and plenty. Tradition associates the 4 x 4 number square with Jupiter. Each planet had its own set of numbers. Jupiter was the leader of the Olympian Gods; Jupiter means “Jovial King” and/or “Father of Thunder.” Jupiter is associated with luck and good fortune. It is the mentor/Guru /teacher of gods. More on internal link below.
With this in mind look at the common characteristic numbers between these two squares. First, I should mention they are both Fibonacci numbers: Five and eight are part of the series that grow by addition of consecutive numbers: 1,1,2, 3, 5, 8,13,21,34… etc. Hence, their number squares also belong to this same series. These number squares defined key ancient buildings. For this post let’s look some of the common numbers:
On the 5 x 5 any straight row of five numbers totals 65. On the 8 x 8 any two opposite numbers = 65.
On the 5 x 5 any two opposite numbers totals 260. On the 8 x 8 any row totals 260.
The central number on the 5 x 5 is 13. The perimeter around the 8 x 8 is the sum of the numbers 1 through 13 =91 and then multiplied by 10. It duplicates becomes the total of the 910 perimeter around the 8 x 8.
The point is: The designers of Stonehenge and the Great Pyramid both knew and drew on this. More in future posts.
Golden Anniversary Number Belongs to Venus. Does Venus have a number by which you can call on her? Yes. To find the Golden Anniversary number, look at its number square. The 7 x 7 belongs to Venus. Each of the ancient 7 planets had its own square of numbers. Sandro Botticelli painted the featured picture. It is entitled: Geboorte van Venus (1485–1486). Translated from Dutch: Birth of Venus. The painting contains 7 real flesh and blood figures. Botticelli invokes the 7 of this number square. Its dimensions, pictured below, are 7 x 7.
Now let’s see where the silver and gold anniversaries come from. Of course, Venus is the goddess of Love. Any 2 opposite numbers total 50. That is the number of the Golden Anniversary. The number of the Silver Anniversary, 25, sits at the center. Good news: Once you reach 25, by this ancient planetary model of Venus, you have a clear shot at 50.
But wait. The 7 x 7 number square goes further. All its numbers, added together, total 1225. Remember 12/25 is Christmas Day.
Golden Anniversary Number Defines the Jubilee Year
What is the Jubilee Year?
The jubilee year is defined in the Bible. It is found in Leviticus 25:8, 10. At the end of seven Sabbatical cycles the year was celebrated. All slaves were freed. Real property was returned to its hereditary owner. The scripture says: “You shall number seven sabbaticals….making 49 years…And you shall sanctify the 50th year, and proclaim liberty throughout the land…It shall be a jubilee to you.
Here’s wishing everybody a happy silver and golden anniversary- and much more this upcoming year. Feel free to share with friends.
Aquarian Number Square of Saturn is Being Activated. Each planet has its own number square. This parallels each astrological sign being ruled by its own planet(s). Here is the traditional association:
3 x 3 rules Saturn.
4 x 4 is Jupiter.
5 x 5 is Mars.
6 x 6 rules the Sun.
7 x 7 rules Venus.
8 x 8 is Mercury.
9 x 9 is the Moon.
The planet Uranus was discovered by William Herschel, Date was March 13, 1781. Before then, Saturn was the sole ruler of Aquarius.
Nicholas Campion wrote a book,The Book of World Horoscopes. It lists various references. These are about astrological sources for the start of the Age of Aquarius. Based on Campion’s research 29 “experts” claim it arrived in the 20th century. The 24th century in second place with twelve claimants.
My conclusion as to the Aquarian beginning sides with the 20th century. Why? I was privileged to gain insights of the ancients into the 3 x 3 number square. It was of Saturn. The numbers interact in an infinite number of ways. It looks like the smallest number square. But, it is the largest due to interaction by polar opposites. Interaction is an integral part of love and brotherhood.
Aquarian Number Square of Saturn is to the Left
The musical Aquarius discusses the essence of this age:
When the moon is in the Seventh House
And Jupiter aligns with Mars
Then peace will guide the planets
And love will steer the stars
This is the dawning of the age of Aquarius
Age of Aquarius
Harmony and understanding
Sympathy and trust abounding
No more falsehoods or derisions
Golden living dreams of visions
Mystic crystal revelation
And the mind’s true liberation
Weather Also Points to the Arrival of the Aquarian Age
All the rainfall and flooding we are experiencing is in keeping with these astrological cycles: They divided this cycle into four quarters formed by signs of the Zodiac (Taurus, Leo, Scorpio and Aquarius). It took 6,500 years to pass through each quarter. They knew the biggest disasters took place at the summer and winter solstices of this cycle. It is claimed that glaciers melted due to global warming, the waters rose nearly 90 meters…
Professionally I am a piano player. Many summers were spent with my family on Oquaga Lake. It is located by Deposit, New York, Location is just over the Delaware river. I was the piano player at Scott’s Oquaga Lake House. The area was the former dwelling place of the Lennie Lenape tribe. I led many hikes through the Catskill Mountains. There, I sensed a female spirit’s presence. It communicated its knowledge of this number square. Perhaps the 3 x 3 number square is merely the icing on an already served delicious, Aquarian cake?
Post Five Hundred as Five Was Antiquity’s Crown Jewel. I feel this post is a mile marker. Earlier I had mentioned my goal was 1,001. This was a number connected to Scherherazade. The story goes that King Shahryar (شهریارŠahryār, from Middle Persian šahr-dār, “holder of the realm, king”) discovered his first wife was unfaithful. Therefore, he resolved to marry a new virgin each day. He would kill the previous day’s wife. This way she would have no chance to be unfaithful. 1,001 women had their lives ended. Then he was introduced to Scheherazade, the vizier‘s daughter. Scherherazade told the King 1,001 tales. One each consecutive night. After this, the king spared his Queen. Some background on this woman who saved countless women who would have followed is in the internal link below.
Well, here is my 500th story: Once upon a time number squares were the spine of a Golden Age. The first 7 were of primary significance. The first and smallest was 3 x 3. Number five sits at its center. It is at the kernel of the smallest of number squares. The entire cosmos grows from this grain of mustard seed. I have an internal link that explains some of its secret codes. Below is an illustration of this tiny number square that becomes infinite.