Found Egyptian Remen in a simple number square.

Found Egyptian Remen Source is a Simple Number Square

Found Egyptian Remen Source is a Simple Number Square. The Egyptian remen of 1.2165 feet is the basis of a long line of ancient measures. Measures are related to the remen by the square root of simple whole numbers. John Michell explores this in great depth in his City of Revelation. It is in Chapter 10, The Canon of Measures. The best known are

(1)  1.72 foot Egyptian royal cubit.
(2)  The basic  1.2165 foot Egyptian remen.
(3) What is new is my own discovery at Blue Stone Mountain: How the remen ties into the 3 x 3 number square.

Found Egyptian Remen
At one point I led expeditions to ancient sites. This is one of the sheets that went with me for lecturing.

 

Found Egyptian Remen Source is the Multi-Dimensional 3 x 3 Number Square

Most look at the 3 x 3 square and see it surrounded by 8 numbers. I was told to look at  the perimeter by single, double and triple numbers.  That totals 20 sets of numbers. Then the perimeters totals are 40, 440 and 2220 (see diagram above).  Let P1 stand for 40. P2 stand for 440. P3 stand for 2220. We take (P1 ) + (P2) + (P3) ÷ P3 = 1.2162…Quite close to the numbers in feet that comprise the remen of 1.2165. Within 3/10,000 of a foot!  The reason for exactly why this 1.2162… feet  was taken as 1.2165 feet is a matter for conjecture.

So what about the central number 5 from he number square? We haven’t accounted for it yet. Not only does the perimeter figure into ancient measures, so does central five. This is on 3 levels with the Great Pryramid:

  • The missing tip is 5 cubits in height.
  • 55 cubits defines the Egyptian Great cubit. It is the basis of measure of the Great Pyramid. Its base is 8 Great Cubits. The truncated height is 5 Great Cubits.
  • The blue print of the Great Pyramid is formed by two interlocking circles. They are drawn interlocking center to center. This is called the vesica piscis (vessel of the fish). The diameter of each circle is 555 feet. For those who think that this is insignificant or random, consider:  George Washington’s Monument in Washington D.C. makes use of the repeated “fives”. It is 555.5 feet tall.  File:Vesica piscis.png
  • File:Vesica piscis.svg

Why am I writing this blog? Because I sincerely believe that reactivating the 3 x 3 number square will bring about a new Golden Age of peace and plenty. The 3 x 3 number square shows what sciences and arts of man have in common. What we all share is the key to the Golden Age. Let’s open it together.

Found Egyptian remen source,

Peaceful training as per the Oquaga Spirit

Peaceful Training as per the Oquaga Spirit

Peaceful Training as per the Oquaga Spirit. With a wave of a wand, I become a poet. I’ve always just been a composer of music. However, at Oquaga Lake I met a spirit. She loves to dictate poetry to me. This happens no where else. The resort is in the foothills of the Catskill Mountains. It is 25 miles East of Binghamton, New York. US-17 is the road that skirts the resort. Just drive straight up the slope for about 3.5 miles and you’re there. The Scott family have a huge presence on the lake. I have been in their employment for about 15 non-consecutive years. My first year was 1983. Eventually, the wisdom of the Oquaga Spirit as spoken  will be on this site. Here is one of her poems from that summer of ’83. That year she seemed to have preferred mostly iambic pentameter in quatrains. That translates to 5 beats per measure in groups of four lines. Later she used triple meter in rhyme and quatrains. The result of the triple meter is The Oquaga Spirit Speaks. It is available as a product on DSOworks.com.

Image result for picture of Oquaga Lake
Home of the Oquaga Spirit at Scott’s Oquaga Lake House

Map of Binghamton New York

map expand icon

 Peaceful Training

Training for a subject means following a system for mastery.
In sports that means specific and proven exercises
Diet must be regulated for strength and endurance.
Athletes need to partake of practice situations.

Playing a musical instrument requires training.
Various technical problems need to be overcome.
Tone production and theory are of great assistance.
Rehearsals are necessary to prepare for the concert.

Studying for an exam necessitates a systematic approach.
Facts should be reviewed on a regular basis.
Primary concepts should be learned before the secondary,
Lists of questions and answers are also helpful.

For nations, training for war has become routine.
People, time and resources are channeled into conflict.
Mankind has come to accept war as a fact of life.
We eat, drink, sleep, and go to war.

The way of war goes back to recorded history.
Even now we still send many to the slaughter of battle.
Should you ask: Is there really an alternative?
I would answer with a question, how many train for peace?

Training for peace also require diligence.
Departments of Defense and War have become the norm.
But you ask, isn’t war a part of human nature?
No, we always have a choice between the two?

It seems we’ve fallen in efforts for peaceful training;
Even though we have one such world organization.
Everyone knows of the United Nations in New York.
We can also to help peaceful efforts along:

Anyone can practice peace in daily dealings,
And remember the saying: “Love thy neighbor as thyself.”
Good deeds definitively promote the cause of peace.
Conclusion: Peace is easy going and yet accessible to all.

 

Randomness in Music With the 12 Tone Technique

Randomness of the 12 Tone Technique Applies to our Math

Randomness of the 12 Tone Technique Also Applies to our  math.  The initial proponent of this technique was Arnold Schoenberg (1874–1951), Austrian-American composer. The technique is a means of ensuring that all 12 notes of the chromatic scale are sounded as often as one another in a piece of music while preventing the emphasis of any one note[3] through the use of tone rows, orderings of the 12 pitch classes. All 12 notes are thus given more or less equal importance, and the music avoids being in a key.

Randomness of Music and Numbers

Our modern use of numbers parallels the 12 tone technique. The 12 tone technique is best described as willful randomness.  Antiquity thought of numbers one to nine as belonging to a system. It was called the 3 x 3 number square.  In our music that is set in the circle of fifths, this is called a key signature.  The numerical key signature of the ancients  was the vehicle of the number square. They favored 7 primary number squares. This could equate with 7 key signatures. The simplest and first was 3 x 3. Their favored squares ranged from 3 x 3  to 9 x 9. They did use higher numeric squares. However, the basic 7 were most common. Sacred prayers in Judaism coded higher number squares. Two favored ones were 13 x 13 and 17 x 17. I have blogs on this subject on DSOworks.com. Some 10,000 years ago, and maybe further back in time, all numbers belonged to unified systems. They were also connected  to words. For example, “order” could be 264. Each symbol of the ancients represented a letter and a number. There were no separate letters and numbers. Their unity called by a Greek name, gematria.  Look it up online. At one time there was no  randomness. You can sample ancient unity on the 3 x 3 number square picture below.

With the ancients, randomness is lacking.
Every number relates to the others in a meaningful way in the Neolithic times.
  • Any two opposite numbers around the perimeter total 10. Examples are 4 + 6= 10 ; 9 + 1 = 10; etc.
  • The average of any two opposite numbers around the perimeter is 5. Five is the core number.
  • Each number contributes to a perimeter whose total around #5 equals 40.
  • The total of all the numbers on the square is 45. . (That equals the sum of the  numbers  from 1 to 9).
  • Each number is set so that any row of three totals 15. This is true vertically, horizontally or diagonally.

The high level of organization of numbers in antiquity is staggering. Today, with our modern sciences, we totally lack such an organizing system for our numbers. I believe that result is  social conflict. The genius of Arnold Schoenberg made a powerful musical statement as to where our culture was heading. Let us return to the way of the ancients. Reviving number squares is what many of my blogs are about. Enjoy the illuminating sample of the 12 tone technique below!

 

 

Numerical nature of ancient mathematics

Numerical Nature of Ancient Philosophy is Number Squares

Numerical Nature of Ancient Philosophy is Number Squares. There are three varied approaches to ancient mathematics. Today we will only examine “real numbers.” Categories 2 and 3 will be future blogs.

  1. Use of “Real numbers” being numbers 1 – 9.
  2. Synthetic numbers being 10, 110, 1110, 11110.
  3. Repeated “real numbers” as 11, 22, 33…Or; 111, 222, 333…Also; 111,222,333…. to the nines.*

Numerical Nature of Ancient Philosophy is Found in the Phrase “To the nines.”

Lyrics from “Don’t Cry for Me Argentina”. You won’t believe me, all you will see is a girl you once knew
Although she’s dressed up to the nines.

  • Evita (New Broadway Cast Recording)

 

My blog traces the history of “to the nines” to prehistoric times. Number squares were of prime importance. What set the concept and pattern of the number squares in motion was the smallest. It is referred to as the grain of mustard seed in the Bible. It uses the numbers one to nine. Nine becomes the maximum. Higher numbers are synthetic.  For example: Ten is the total of any two opposite numbers around the perimeter of the featured picture.  Examples are 9 + 1 or, 3 + 7. They combine two or more numbers in set patterns. Ten, in the distant past, did not exist as an independent number.  In musical terms repeated patterns on different tones is called a sequence. They musically demonstrate a property we will study in number squares.

J.S. Bach Concerto for Two Violins in D minor, first movement, bars 22-24

 

The meaning of this ancient number square is revealed in the phrase Dressed to the nines.  But the history of nines is much older than this defining quote. Perhaps some 10,000 years older. *”To the nines” is an English idiom meaning “to perfection” or “to the highest degree” or to dress “buoyantly and high class”. In modern English usage, the phrase most commonly appears as “dressed to the nines” or “dressed up to the nines”.[1][2]The phrase “dressed to the nines” is just a specific application of the Scottish phrase “to the nine ” The earliest written evidence of this phrase appeared in the late 18th century in the poetry of Robert Burns. Its meaning is “to perfection; just right.

Much more to come on the featured picture of the Grain of Mustard Seed  and categories 2 and 3. Keep checking the blogs.

Mexican Sun Pyramid has a blueprint

Mexican Sun Pyramid Draws on Platonic Codes

Mexican Sun Pyramid Draws on Platonic Codes. Yes, there is an ancient temple plan. It dates back to Neolithic times. Plato used it. It was employed all around the world in antiquity. I discovered it in a vision while hiking around the loop by Oquaga Lake.  The same Ancient Temple Plan also graces the Mexican Sun Pyramid.  I discovered it by means a vision while hiking around Oquaga Lake. The special character of the lake nature is described in my book of poetry on DSOworks.com: The Oquaga Spirit Speaks. It can be downloaded.

I was walking down the main road by Scott’s golf course when I had the insight that forms the basis of this blog.

Teotihuacán
 Pyramid of the  Sun (click to see picture source)

Coordinates: 19°41′33″N 98°50′37.68″W

Add the length of  the perimeters of the four  triangles ABC, ADC, ABD and CDB.  Each one totals 2520′ ( 738 + 738 + 1044 = 2520) .  Four triangles = 10,080. Next, use pi as 22/7. A circle around diameter of length 10,080 = 31,680.

Mexican Sun Pyramid Parallels Plato’s Writings

Plato’s Ideal City uses the same numbers in his desciption of the Ideal City.  He states in Laws V: “(1) Mark off 5040 allotments. They must be cut in two so that “each contains a near piece and a distant piece- joining the piece next to the city with the piece furthest off.”. That totals 10,080 markings of land (5040 on each side of the radius). That equals the total of the sum of perimeters around the 4 triangles of the Sun Pyramid as described above.  A circle drawn around diameter 10,080 has a circumference of 31,680 . As 10,080 x 22/7 = 31,680. The co-incidence goes even further. John Michell explains defines the area of each of its 2520 pairs of rings. The combined area of each of the pairs is 31,680. Both the Mexican Sun Pyramid and the Ideal City use the same number tradition of prehistory.  I refer my reader to The City of Revelation by John Michell pgs. 84-86

Conclusion: At one time there existed a peaceful formula for civilization. Due to some kind of cataclysm, everything was destroyed.  This possibility is discussed by Immanuel Velikovsky (/ˌvɛliˈkɒfski/; Russian: Иммануи́л Велико́вский; IPA: [ɪmənʊˈil vʲɪlʲɪˈkofskʲɪj]; 10 June [O.S. 29 May] 1895 – 17 November 1979) He was a Russian-Jewish independent scholar best known as the author of a number of controversial books reinterpreting the events of ancient history, in particular the US bestseller Worlds in Collision published in 1950.[1] Earlier, he played a role in the founding of the Hebrew University of Jerusalem in Israel, and was a psychiatrist and psychoanalyst.

Conclusion: I think that ancient ruins hold lost knowledge. Uncovering and understanding what’s in these ruins provides possible pathway way to peace. I think we are approaching another Golden Age. How good is that?

Image result for picture of Book cover of John Michell's City of Revelation
John Michell quotes Plato’s Laws V which one of my sources for this blog.

Hidden Heptagon is Found at the Great Pyramid of Egypt

Hidden Heptagon Found Attached to Great Pyramid’s Blueprint.

Hidden Heptagon  Can Be Attached to Great Pyramid’s Blueprint. Or, is it vice versa?  First, what is a heptagon?  In geometry, a heptagon is a seven-sided polygon or 7-gon. The heptagon is also occasionally referred to as the septagon, using “sept-” (an elision of septua-, a Latin-derived numerical prefix, rather than hepta-, a Greek-derived numerical prefix) together with the Greek suffix “-agon” meaning angle.

The featured picture is from my 1st volume, p.393, of The Staff of God. I worked many summer seasons at Scott’s Oquaga Lake House as their piano player. There, a spiritual presence made itself known. I was educated in the ways of the ancients. The Oquaga Spirit Speaks, was one of the results. It relates through quatrains with rhyme the character of this spirit. Here is a sample from the opening poem entitled The Oquaga Spirit:

What a communicator was she
This sprite both blithe and free.
So much she needed an ear,
She ignored my tranquility.

Related image
The incomparable beauty of Oquaga Lake offers strong spiritual sensation for anyone.

NOW FOR THE HIDDEN HEPTAGON

 

Hidden heptagon was relayed at Soptt's Oquaga Lake House.
Scott’s Oquaga Lake House promises and delivers a new and beautiful dimension.

 

 

 

 

 

 

 

To the best of my knowledge, I think I was one of the first to rediscover the hidden heptagon. Even more significant: I think the triangle of the Pyramid’s dimensions originally came from this hiding heptagon. Not the other way around. Every book I’ve seen previously has defined the triangle as giving birth to the Great Pyramid. This involved many geometrical constructions. Here’s the simpler way to draw its dimensions from the heptagon: Set your compass at point “C”, Mark its length AC. Mark point “D” from point “C”. Draw a straight line along ICBD. Connect lines for triangle CDA. You have the essential proportional measures of the Great Pyramid.

More blogs will be written on this topic. Here’s one application. Hebrew language has 3 “mother” letters. It also has 7 double letters. That is, letters with 2 distinct sounds.

  •  A 2nd heptagon can be drawn on the other side of the triangle (not pictured). It’s basic side is defined by line AC. It then extends to the left. The 1st heptagon is on the right.
  • The one mother that gives birth to the 2 heptagons wedged in the lower center between the 2 heptagons. .
  • With the Hebrew language, the 3 mother letters give birth to the 7 double letters. The diagram geometrically defines this pattern.

Possibility exists that I might go to the Lake House once more this summer. There I would recite poetry. Also I would offer expeditions to commune with the spirit, and play the piano.

L’image contient peut-être : ciel, arbre, crépuscule, plein air et nature
Every season has its beauty at Scott’s

 

This is a candidate for one of the ancient burial sites by its yin yang characteristics.

Ancient Burial Sites Used the Perfect Fifth Ratio 3/2

Ancient Burial Sites Used the Perfect Fifth Ratio 3/2. Many Neolithic cultures placed the numbers of harmonious ratios of musical intervals into their buildings and environment.   How can musical intervals possibly apply to burial sites? What was the purpose of seeking harmonious intervals for interment? Where and when did this happen?

  1. The tradition belongs to  yin-yang concept of the ancient Chinese
  2. The ideal was the 3/2 ratio. Three parts yang to 2 parts yin. 3/2 defines the musical interval of a perfect fifth. The higher note vibrates 3 times; for 2 of the lower.
  3. The tradition characterizes ancient burial sites in China. I found what I thought was such a location in Wiki commons. It is pictured as the ALMATY, KAZAKHSTAN. See featured pictured above.
    railroad tracks interrupted the yin yang flow of ancient Chinese burial sites
    The natural flow of yin yang was thought to be interrupted by railroad tracks.

    The fifth has always been considered a perfect interval. In Western music, intervals are most commonly differences between notes of a diatonic scale. The smallest of these intervals is a semitone. In music, an interval ratio is a ratio of the frequencies of the pitches in a musical interval. For example, a just perfect fifth (for example C to G) is 3:2. There are only 3 perfect intervals in our scale system. They are the octave, fourth and fifth. They are called perfect for the following reason: They vibrate in whole number ratios from 1 to 4. They sound the most harmonious. Major and minor intervals vibrate with higher number integers. Note the following list:

    • The interval between C and D is a major 2nd (major second).
    • The interval between C and E is a major 3rd (major third).
    • The interval between C and F is a perfect 4th (perfect fourth).
    • The interval between C and G is a perfect 5th (perfect fifth).
    • The interval between C and A is a major 6th (major sixth).
    • The interval between C and B is a major 7th (major seventh).
    • The interval between C and C is a perfect 8th (perfect octave).

    Ancient Burial Sites share the 3 to 2 Perfect 5th ratio with other disciplines

    (1) Microbiotic cooking  uses the 3/2 ratio for healing. It advocates 3 foods that grow above the ground in addition to 2 that grow under.
    (2) Chinese geomancers detect yang and yin currents. Yang is the blue dragon, Yin is the white tiger. Yang current takes the path over steep mountains. Yin mainly flows over chains of low    hills. Most favored is where 2 streams meet surrounded by three parts yang and 2 parts yin.  That was the spot where Chinese ancient burial sites were built.

    Chinese believed that proper burial of ancestors controlled the course  of the surviving family’s fortune. Great dynasties are said to have arisen from proper placement of tombs. Also, the 1st action of a government facing rebellion was to destroy the family burial grounds of the revolutionary leaders.

    If Ancient Burial Sites are Beyond You, Here’s a Simple Musical Exercise to Help Your Health and Fortune

    Twinkle, Twinkle Little Star incessantly uses the interval of the perfect fifth. So does Baa, Baa Black Sheep. Sing the first 4 notes of each. With both nursery rhymes, the interval between the 2nd and 3rd notes is a perfect  fifth. You have your choice: (1) Sing the first four notes over and over, Or (2) simply and just sing the 2nd and 3rd notes over and over.  Another choice is take piano lessons. Play Mozart.

     

 

Neolithic number eight is on the piano keyboard.

Neolithic Number Eight Permeates the Great Pyramid of Egypt

Neolithic Number Eight Permeates the Great Pyramid of Egypt. Also the modern piano keyboard. Here’s how.

  • First use of eight (8). The featured picture illustrates an octahedron.  It is a symmetrical, eight-faced, triangulated figure. All angles at their corners are 60°. Bisect the featured picture across the square at the center. The bisected octahedron then becomes two square based pyramids.  The above I call the positive. The below I call the negative. All square base pyramids imply an attached equal and opposite pyramid.  The mere existence of any square base pyramid, implies a counterpart. Granted, the Great Pyramid of Egypt has differing angles. It uses isosceles triangles.  But, the extra four reverse-faced pyramid is still implied. When they are joined, the square bases become internal. They literally disappear. There no longer is a separated square base. We have our first usage eight. As,  4 faces (postive)  + 4 (negative) faces = 8.

2nd Usage of Neolithic Number Eight

  • Image result for picture of the book cover by John Michell the View Over Atlantis
  •  Each side of the square base measures 440 shorter Egyptian cubits. Shorter cubits are 1.718…feet. A more encompassing measure is the Great Cubit. It measures 55 shorter Egyptian cubits. Thus each side of the Great Pyramid of Egypt is 8 Great Cubits. 440⁄ 8 = 55.  Reference John Michell, The View Over Atlantis. Therefore the Great Pyramid is 8 x 8 Great Cubits.

Neolithic Number Eight and Musical Octaves on the Piano Keyboard

  • Last, but not least. We will tie the Great Pyramid into concert note A-440 and its octaves. Its essential measures come from octaves of the concert note A 440. A higher octave doubles the vibrations per second. The lower octave cuts them in half. The lowest note on the 88-keyed piano is “A”. It vibrates 27.5 times per second. On the Steinway below, it is the furthest note to the left.

The musical keyboard of a Steinway concert grand piano

Here’s the connection. The height of the Great Pyramid is 275 cubits. Neolithic builders freely multiplied and divided by 10’s. This is because 10 ten was considered a synthetic number in antiquity. Reason: It totaled any two opposite numbers on the 3 x 3 number square. Diagram is below.  4 + 6 = 10. Or, 9 + 1 = 10. Etc. We now have the following:
  1.  The note A,  underneath Steinway’s name, vibrates 440/per second.
  2. The lowest note on the piano, also an “A” vibrates 27.5 /second.
  3. The length of any side of the square base on the pyramid is 440 cubits.
  4. The height of the truncated Great Pyramid of Egypt is 275 cubits

Image result for picture of the 3 x 3 number square on dsoworks.com

 

 

Numerical nature of ancient mathematics

Triple Grand Unity of Chemistry, Geometry and Number Squares

Triple Grand Unity of Chemistry of Geometry and Number Squares. They are also called magical number squares. It’s time to regain contact with mankind’s past. Magic number squares date back to prehistoric times. Wikipedia’s definition of the square is as follows:  In recreational mathematics, a magic square[1] is a {\displaystyle n\times n}n\times n square grid (where {\displaystyle n}n is the number of cells on each side) filled with distinct positive integers in the range {\displaystyle 1,2,…,n^{2}}{\displaystyle 1,2,...,n^{2}} such that each cell contains a different integer and the sum of the integers in each row, column and diagonal is equal.[2] The sum is called the magic constant or magic sum of the magic square. A square grid with {\displaystyle n}n cells on each side is said to have order n.

triple grand unity of number squares, geometry and chemistry
The periodic charted was coded longer than 10,000 years ago on the simplest number square.

First note the vertical pattern of numbers on the periodic chart:

  • Lithium (atomic number 3) minus a hydrogen atom (atomic number 1) = 2.
  • Sodium (atomic number 11 under lithium)  minus the 3 = 8.
  • Potassium (atomic number 19 under sodium) minus the 11 = 8.
  • Rubidium (atomic number 37 under potassium) minus the 19 = 18
  • Cesium (atomic number 55 under Rubidium) minus the  37 = 18
  • Francium (atomic number 87 under Cesium) minus the 55 = 32.

Here’s the Triple Grand Unity of the Neolithic Times

Egyptians knew all about this triple grand unity. It's all to be found documented at the Great Pyramid.
The main purpose of the Great Pyramid is to show the many ways that number squares can be used. This is lost knowledge.

Now, let ‘s look at the grid lines of the 3 x 3 number square. It is pictured just under the excerpt from the periodic chart above. . Only number 2 is found directly. Numbers 8, 18 and 32 come as square roots of whole line segments of the grid. Here’s how it works:

  • A to F (on the dotted line segment on the left side. Any side will due, of course.) = 2
  • The diagonal from points “A” to “E” (where the two dark lines meet at right angles) equals √8.
  • Line BD (the entire diagonal of the complete square) equals √18
  • Finally triangle ABD or CBD equals √32.

The numbers of the magic square  and the periodic chart  are the same:  2.8.18 and 32. A number of my blogs are about how number squares mathematically display elemental properties. Was this knowledge known to the Neolithic cultures that used number squares? Was there an advanced civilization at one time in the distant past that was destroyed? Possibilities are many. More blogs in the future will deal with this.

?

Musical Backbone of the Cosmos is the 3 x 3 number square

Musical Backbone of the Cosmos is a Number Square

Musical Backbone of the Cosmos is a Number Square.Musical unity of the cosmos issues forth from the 3 x 3 number square. Notice that 8 boxes surround the central box in the featured picture. Be it ancient or modern, the number 5 is the crux of tones or key signatures:

  • In antiquity 8 the tones of the scale were derived from a series of ascending  fifths. For example, “C” to “G” or “G” to “D”.
  • In modern times (today) key signatures are derived from a circle of 5ths. In music theory, the circle of fifths (or circle of fourths when approached backwards) is the relationship among the 12 tones of the chromatic scale, their corresponding key signatures, and the associated major and minor keys. More specifically, it is a geometrical representation of relationships among the 12 pitch classes of the chromatic scale in pitch class space. *On ascending 5 tones to a new key signature, a new sharp is added that is 5 tones higher than the previous sharp. For example, G major has one sharp. It is an F#. D major has 2 sharps. It maintains the F# from the key of “G”.  D major adds new C#. Note: F#,G,A,B,C#.  Counting “F”, then  “C” is 5 letter names higher.
  • 16 Musicians are the musical backbone of peace.
    A true musical backbone of civilization is the symphony orchestra

Musical Backbone Set in the 3 x 3 Grid

Music comes in 8 bar segments. In the same way, on the featured picture boxes and their numbers, they are paired by opposites. For example, any boxed number and its opposite boxed number always totals ten. This includes 2 + 8. Or, 3 + 7, etc. Two paired boxes total 8 lines. This is at 4 lines per box.

  • In music the first 4 bars are called antecedent
  • The second 4 bars are called consequent

A complete musical song form typically uses 32 bars segments.  These are described by AABA. Each letter (A or B)represents 8 bars of music. Likewise, 8 boxes are encompassed by the circle on the featured picture. That makes for 32 lines: 4 (lines per square) x 8 squares = 32 lines.

Here is one for those who believe this blog is simply a “slight of hand.” Go around the perimeter. That is, the numbers surrounding the central “5”. Use two numbers at the time in either direction as follows. You get the same total. Here is the clockwise direction. 49 + 92 + 27 + 76 + 61 + 18 + 83 + 34 = 440. The ancients tuned to A-440. We tune to A-440.

Conclusion

A number of blogs on DSOworks  show the unity of the arts and sciences.  They demonstrate how this is effected  through the above featured number square. We know the way to peace. Why not follow the road signs? It’s that easy.