Musical Quaternity is analogous to the Four Elements. Here are the players:
The musical quaternity for this blog includes melody, harmony, rhythm and counterpoint.
The four elements are alchemical. They comprise earth, air fire and water. On the wheel of the zodiac they each occur in rotation three times. This covers the 12 zodiac signs.
Analogy (from Greek ἀναλογία, analogia, “proportion”) is a cognitive process of transferring information or meaning from a particular subject – the analog or source, to another. It has been argued that analogy is “the core of cognition”.
Air is counterpoint. It represents the quality of reason. Counterpoint requires structure, rules and thought. Alchemists thought that air contains the vital spirits of life. The words for spirit and psyche come from the same Greek word: ” From from Greek psykhe “the soul, mind, spirit; breath; life, one’s life. It is the invisible animating principle or entity. The psyche occupies and directs the physical body; understanding It is akin to psykhein “to blow, cool,” from PIE root *bhes- “to blow, to breathe”.
Alchemist Heating a Pot, by David Teniers the Younger (1610 – 1690), oil on canvas.
Harmony is more like the combined, unified yet undifferentiated background. Harmony is the vertical aspect or sound of musical. It represents the combination of sounds at any given moment. Those qualities parallel water. Counterpoint is the horizontal direction of various lines the harmony holds. The two are thus interconneted. horizontal axis.
Melody is tied to rhythm. You cannot have melody without rhythm. In alchemy, fire represents maximum molecular activity. Earth is minimum activity. It is grounded. With the vertical axis, fire rise. Rhythm gives melody shape and purpose. It provides the substance of melody. They are interconnected as the vertical axis.
Discovering Number Squares in the Shema Yisroel. First, what is the Shema Yisroel? It is an alliteration into English of the name of a key Hebraic prayer. This blog will concern itself with the opening first line.The quote below explains its extreme significance.I believe it harbors the gateway to a Golden Age Age of peace and plenty. The hidden values offer a path to a forgotten, lost universal order that was based on number squares. Wikipedia explains this first line as follows:
Shema Yisrael (or Sh’ma Yisrael; Hebrew: שְׁמַע יִשְׂרָאֵל; “Hear, [O] Israel”) are the first two words of a section of the Torah, and is the title (better known as The Shema) of a prayer that serves as a centerpiece of the morning and evening Jewish prayer services. The first verse encapsulates the monotheistic essence of Judaism: “Hear, O Israel: the LORD our God, the LORD is one” (Hebrew: שְׁמַע יִשְׂרָאֵל יְהוָה אֱלֹהֵינוּ יְהוָה אֶחָֽד׃), found in Deuteronomy 6:4, sometimes alternatively translated as “The LORD is our God, the LORD is one.” Observant Jews consider the Shema to be the most important part of the prayer service in Judaism, and its twice-daily recitation as a mitzvah (religious commandment). It is traditional for Jews to say the Shema as their last words, and for parents to teach their children to say it before they go to sleep at night. Now to the task at hand- discovering number squares.
Discovering Number Squares in this Key Creed of Judaism
As a prelude, in Hebrew letters doubled as numbers. There were no separate numbers. The same symbol represented both. Look up the Greek word, Gematria. To double check the arithmetic in this blog , ask someone fluent in Hebrew. Also refer to the featured picture as I list the Shema’s words and the words with their numerical equivalents.
Shema has a gematria of 410. The 9 x 9 number square has a core number of 41. In antiquity, zero was not only the absence of number, it was considered to be a synthetic number. Look at the smallest number square. The 3 x 3 pictured above. Any 2 opposite numbers on this square total 10. Hence, 10 and its various powers are not their own independent single numbers. They result on this basic number square by adding any two opposite numbers on the perimeter. The 410 was taken as 41. The 9 x 9 number square was called the lunar number square.Here is the spelling of the word Shema: שְׁמַע.
Yisroel has a gematria of 541. By the rules of gematria, plus one was allowed per words in a phrase. I believe the number was 540 plus 1 for the Deity. Geometrically speaking, a pentagon totals 540° among its 5 vertices. Five is the core number on the 3 x 3 number square. It is the seed of all number squares. It ancient Greek it is the equivalent of The Grail.Here is the spelling in Hebrew: יִשְׂרָאֵל
The next word is so important, it appears in two of the basic ancient number squares, Yahweh. This is the unutterable name of God. On the 5 x 5 number square, any 2 opposite numbers on the perimeter total 26. This square is dedicated to the planet, Mars. The Hebrew spelling is יְהוָה
Next word is Elohaynu. Its numerical equivalent is 102. Look at the 4 x 4 number square. It is the number square of Jupiter. The 12 numbers around its perimeter total 102.אֱלֹהֵינוּ
The 2nd use of the sacred 4 letter name of God refers to the 8 x 8 number square. The 8 x 8 and 5 x 5 number squares share common numbers. The 8 x 8 square of numbers was dedicated to Mercury the messenger. Any row of 8 numbers totals 260. On the 5 x 5 number square, any 2 opposite numbers total 26. Without the zero, it is the second reference to Yahweh יְהוָה
The final word, “echad” declares the oneness of God. Its numerical equivalent is 13. The number is at the core of the 5 x 5 number square אֶחָֽד
Discovering Number Squares of Higher Order in these 6 words (and the next 6)
More on Discovering Number Squares: Aryeh Kaplan was a physicist/philosopher. The book referenced here He offers the formula on page 163 for determining the row total. It is also termed the (S)ide total, for any number square:
S = (n³ + n) ÷ 2.
When the double yud spelling is substituted for the four letter name, as it is the custom in prayer books, the sum of the 6 words becomes 1106. The prayer book spelling of the six words is pictured below.
Next, take the 13 x 13 number square. Fit it to the formula: (13 x 13 x 13) + 13 ÷ 2 = 1105. By the ancient rules of gematria one may be added to the value to arrive at the prayer book gematria of 1106. Again, becomes the unity of God. Kaplan discusses how the 13 x 13 number square represents- Chesed or love on the Tree of Life. The next 6 words (see diagram below) are whispered) will be covered in future blogs. It directly points out the 17 x 17 number square. That square is dedicated to Netzach or victory on the Tree of Life. Used together, 13 x 13 magic square and the 17 x 17 display an ancient temple plan. Indeed, Victory is found in Love as all our religious teachers and prophets taught.
Mathematical Poetry of the Great Pyramid of Egypt. Words that rhyme have similar sounds with their final syllable. An example is tomato and potato. Yet these words have differences. With the Fibonacci series of numbers, each number is different. Yet, as pictured on the graph below, one square shares a section with another. Looking at the graph, 13 x 13 by itself is unique. So is 21 x 21. Yet they share a border. Rhymes share the same sound. Fibonacci numbers share the same line side on this graph. For example the larger 21 x 21 borders 13 x 13, 5 x 5 and 3 x 3. This becomes mathematical poetry with rhyme.
The series grows by successive addition:
In mathematics, the Fibonacci numbers are the numbers in the following integer sequence, called the Fibonacci sequence, and characterized by the fact that every number after the first two is the sum of the two preceding ones:}
The sunflower seed pattern used by the National Museum of Mathematics contains many spirals. If you count the spirals in a consistent manner, you will always find a Fibonacci number (0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, …).
Mathematical Poetry Found at the Great Pyramid of Egypt
A measure of one side of the square base of the Great Pyramid is 440 shorter Egyptian cubits of 1.718… feet. One “Great Cubit” = 55 of the smaller 1.718… cubits. So where are the Fibonacci numbers?
The Great Cubit itself is a Fibonacci number as 55 smaller cubits.
The 440 cubit length thus becomes 8 Great Cubits. Eight is a smaller number in the series.
The truncated height is 5 Great Cubits. It is 275 smaller cubits. Note- The 5 cubit tip is missing. Five, again, is another Fibonacci number.
Here is a most remarkable example. It found its way into the Hebrew language. 21 X 21 (one of the squares above)= 441. There was a traditional leeway of plus or minus one. With letters that also stood for numbers in antiquity, the “one” was called, “colel”. Thus, when you square the 21 Fibonacci number, it is within one cubit of the 440 smaller cubit length of a side. A Biblical adage is “God is truth”. In the Hebrew language the word for “truth” is: Strong’s Hebrew: 571. אֱמֶת (emeth) — firmness, faithfulness, truth. Look at its 3 letters from right to left: Aleph is the glyph for “1”. Mem is the glyph for “40”. “”Tav” is the glyph for 400. Thus 1 + 40 + 400 = 441.
In a hidden fashion, truth (emeth) is based on square Fibonacci number (21²). So is the 440 (+1) smaller cubit measure of the Great Pyramid. Questions that come to mind can include (1) Is this a co-incidence? (2) Was Moses a (440 + 1) link? Whatever your conclusion, keep in mind: 440 is a key hidden number on the traditional 3 x 3 number square. Finally it is time for a poetic revival. I hope my poetry book, available as a product will help. It is called, The Oquaga Spirit Speaks.
Cycles Part Two on How They Affect People. Since at least Neolithic times, builders of civilizations sought to counter the harmful effect cycles can have as they hit their peak. Basically they used a process that I call “transfer.” They transferred the effects of cyclic activity to a distinct physical plane. Often this took the form of a circle divided into four parts. There are many examples of how the Neolithic culture applied their knowledge of cycles. In this regard they were far more advanced than we are today in the 21st century. Here are a few classifications that pertain to business in the 21st century.
The cycle is low. The spiral is unwound. Everything is relaxed.
The cycle winds up. Things begin to tighten
The cyclic peak is reached. That equates with maximum trouble and chaos.
The cycle unwinds. Things go back to being relaxed.
Cycles part two continued: Newton was quite familiar with ancient Egyptian writings. His friend, editor and publisher, Edmond Halley, who, in his 1705 Synopsis of the Astronomy of Comets, used Newton’s new laws to calculate the gravitational effects of Jupiter and Saturn on cometary orbits. This calculation enabled him to determine that the orbital elements of a second comet that had appeared in 1682. They were nearly the same as those of two comets that had appeared in 1531 (observed by Petrus Apianus) and 1607 (observed by Johannes Kepler). Halley thus concluded that all three comets were the same object returning about every 76 years. The period actually varies between 74–79 years.
Cycles are found from the vast dimensions of the Universe to the microscopic world of the atom. Of course they are also attached to the life processes on Earth. Here are some examples:
Galaxies rotate around their centers. The Milky Way takes 200 million years to complete a rotation.
The Sun rotates around its axis every 25 Earth days.
Comets have a regular elliptical orbit.
Meteor showers take place regularly on certain days of the year.
The Moon varies in an illumination cycle every 27 days.
The Moon produces high tide cycles every 12½ hours.
I will continue to blog on such topics until we can all initiate a new era of peace and plenty. I believe that is in the making. It is called: A Golden Age.
Baby Song Lyrics are Literally Everywhere. I am writing this blog to
Describe how this word is now an anachronism. It is outdated.
Show how this word has prevailed in popular culture.
Show that this catch all word should be replaced a more appropriate word.
List a number of songs that communicate the frequent use of this overworked and tired word.
Place a little humor into a blog.
First, We Turn to The Producers to Look at Baby Song Lyrics
Following the flop of theatre musical Funny Boy (based on William Shakespeare‘s Hamlet) (“Opening Night”), the show’s washed-up producer, Max Bialystock, hires the neurotic Leo Bloom as his accountant. While studying Max’s books, Leo notes that a flop is expected to lose money. The IRS won’t investigate the finances of failed productions. Leo jests by selling an excess of shares and embezzling the funds, a flop could generate up to $2 million. Max asks for Leo’s help with the scheme. Searching for the worst play written, the duo finds Springtime for Hitler, a musical written by an ex-Nazi named Franz Liebkind. Max and Leo acquire Franz’s rights to the musical, They adapt it to their own vision of the play. They do their best to make it a flop. They use the worst lyrics. The show is in bad taste. Then they hire what could be considered a joke of a singer-actor for the lead. He constantly says or sings the word, “baby”. This word is obviously not in keeping with the playwright’s intentions. Its use upsets Franz Liebkind to no end. He angrily states:
Franz Liebkind: Baby! Baby!… Why does he say this “baby”? The Führer has never said “baby”. I did not write, “baby”. What is it with this, “baby”?
A Short Sample List of Baby Song Lyrics and Titles
(You’re So Square) Baby I Don’t Care – Elvis Presley.
(You’re) Having My Baby – Paul Anka.
…Baby One More Time – Britney Spears.
Always Be My Baby – Mariah Carey.
American Baby – Dave Matthews Band.
Angel Baby – Rosie & the Originals.
Angie Baby – Helen Reddy.
Anybody Seen My Baby? –
Please check on line and be amazed. Click in The Best Songs with Baby in the Title.
Finally, why do I think that Baby Song Lyrics are inappropriate for today? A baby is totally dependent. Babies need love, attention and oversight. We live in a day and age where both women and men want to be respected and independent. A new woman’s movement is afoot. In this context, calling anyone, man or woman baby is at best, belittling. What are your thoughts on baby song lyrics?
Master Number Square Shows Similarity in Diversity. I’m sure you are asking: What is this all about? Why even bother reading this? Answer: We are about to enter into a new Golden Age. It will be marked by peace and plenty. All will live long and happy lives. The key is understanding how this number square works. – Then its hidden codes and inner workings must be activated. Basically geometry and numbers interact in a set pattern. The numbers that code the periodic chart and lines and angles on the 3 x 3 grid are the same. It works as follows:
Master Number Square of the Ancients is Pictured Below
First the featured grid must be filled with the numbers 1 to 9. Any straight row of 3 numbers must total 15. It is the traditional, ancient arrangement.
Next, examine the periodic chart. Note the numerical vertical differences of the 1st row. It sets the pattern in motion. We will subtract successive differences of the higher atomic number from the lower as follows. Li(3) – H(1) = 2. Na(11) – Li (3) = 8. K(19) – Na (11) = 8. R(37) – K(19) = 18. Cs(55) = R(37) = 55. Fr(87) – Cs(55) = 32. The vertical differences in the numbers of protons are 2, 8, 8, 18, 18, 32. Note the first three: 2 + 8 + 8 = 18. Thus,the sum of the 1st three atomic number differences duplicates the difference between the 3rd and fourth rows. Thus. 18 =18.
As I blogged about earlier, the traditional 3 x 3 number square is the stamping mill of the Universe. Various line segments duplicate the 2,8,18, and 32 numbers on the period chart. Look at the featured picture for this aspect. But let’s go one step further. The same number square structures the 5 regular polyhedrons. The 5 regular polyhedrons have a total of 3 types of regular polygons for faces:
#1, the tetrahedon has 4 triangles.
#3, the octahedron has 8 triangles.
#6, the icosahedron, has 20 triangles.
Thus, 4 + 8 + 20 = 32.
Next come the sum of the untrianglated figures.
The cube has 6 square faces.
The dodecahedron has 12 pentagonal faces.
Thus, 6 + 12 = 18.
Conclusion: The grid codes the periodic chart. It also codes the 5 regular polyhedrons. Many of the thus far 410 blogs on DSOworks.com point this out. Professionally I am a piano player and composer. Many blogs are also about music. Posts are free to read and easy to access. Also, pardon my number mistake in the featured picture. It should be 56 – 38 = 18 in the 2nd vertical row.
The letter “hei” is also the symbol for #5. The letter is also the symbol for #6. In the tetragrammaton, the two glyphs also represent 5 and 6 respectively. They are encased by the 1st letter and 4th letter of the Tetragrammaton. The encasing letters are called- yud and hei. Hebrew is read from right to left.
Godly Aspect Decoded in the Tetragrammaton by Reading Numbers
In his City of Revelation, the Reverend John Michell discusses numbers 5 and 6. He discusses how Mayananda described these polar opposites. Five was associated with animate humanity. Six- with the snowflake and inanimate. His comparison by geometry brings in the rose and lily as 5 and 6 representatives. Five becomes yin. Six becomes yang.
Israel and God partake of the 5 and 6. This is by the geometry of the hexagon and pentagon. They symbol of Israel is the 6-pointed star. It is referred to as the Star of David. As Hebrew letters also represent numbers, Israel (יִשְׂרָאֵל ) totals 541. By rules relating to numbers (gematria), one can be added to a word. Most likely, this represents the One God. A pentagon has 540º. For a regular pentagon this is at 108°/angle x 5 =540°. Israel equates with the pentagon. Thus, in geometrical terms: (1) The symbol of Israel is the hexagon. (2) Israel is the pentagon. We have a congruence: Again 5 and 6 come together as they do in the middle of the other two letters of yud and hei in the Tetragrammaton.
Megalithic Yard Links Tie Into Number Squares. Before reading this post, here is a key concept. The 2.72 foot megalithic yard confirms prehistoric knowledge of the exponential factor of growth. Reverend John Michell writes in his The View Over Atlantis: “The ratio 2.72 is an approximation of the incommensurable figure “e”, the variant by which a logarithmic spiral is set out and a factor in the development of natural growth.” Here is a second important concept: The megalithic yard is also expressed as a fraction: 30/11. That translates to 2.7272727…The difference between 2.72 feet and 2.727272…feet allows for a slight variation in its length. This was common ancient practice.
The blog brings up a number of questions.
Was there an advanced civilization in the past?
Was their IQ beyond our current day comprehension, even with our advanced technology?
Finally, why was the megalithic yard hidden by code in the two prominent names for God? – In the Torah these names were Yahweh and Elohim. Please read the quote from two previous blogs for background.
Tag: megalithic inch
HOW NUMBERS AND LETTERS SHARE A UNITY IN HEBREW
Ancient Hebrew has no separate number system. A letter and a number shared the same symbol. Contrarily, in English we have letters of the alphabet. We also have digits.
Every word in Hebrew had a numerical equivalent. Thus, the Hebrew letters for Elohim total 86. The Hebrew letters for Yahweh total 26.
Letters in words were often pyramided to obscure meanings: The the four letter name of God is an example that in pyramided style became: (1st tier) Yud = 10; (2nd tier) yud + hei = 15; (3rd tier) yud + hei + vav = 21; (4th tier) yud + hei + vav + hei. The four tiers total 72.
In the same manner, Elohim, when spelled with pyramided letters totals 200: (aleph = 1); (aleph & lamed = 31); (aleph + lamed + hei =36); (Aleph + lamed + hei + yud = 46); the full name is (aleph+lamed + hei + yud + mem = 86). Add these pyramided values: 1 + 31 + 36 + 46 + 86 = 200. Thus, the pyramided values of the two primary names of God total 272: 72 + 200 = 272. You can compare these secrets to the Russian Matryoshka doll.
The Tie in of God With Harmony and Measure and Megalithic Yard Links
In these computations, I allow myself a leeway. It is the difference between the 2.72 foot megalithic yard and the 2.7272727…as a repeated fraction (30÷11 megalithic yard).
Plato discusses how 272 was the great number of harmony. Read my previous blog on DSOworks.com entitled Harmony’s Number for the background.
In measure one megalithic yard = 2.72 feet
Furthermore, multiply these two pyramided names of God. The product is the total number of 12 inch feet in the classic megalithic mile. This measure is found all over the ancient world: 72 x 200 = 14,400 numbers the feet in a megalithic mile.
So What About Megalithic Yard Links and Number Squares?
(1) Start with 50. Any 2 opposite numbers on the 7 x 7 number square of Venus total 50. (2) Multiply 50 x the 2.72 foot megalithic yard. 50 x 2.72 = 136. That totals the sum of all the numbers on the 4 x 4 number square of Jupiter which is 1 -16. (3) Next, in order, multiply 136 x 2.72 = 370. The equals the sum of the numbers in the perimeter of the 6 x 6 number square of the Sun. Perimeter is the outermost square with numbers. (4) Multiply 370 X 2.72(7272…) = 1008 (approximate compromise between 2.72 and the fraction given above).
A circumference with diameter 1008 is 3166. In my Sacred Engineer’s Philosophy, I totaled the names of the 12 tribes of Israel. By rules of gematria they total 3166….Finally with the last of the megalithic yard chains or links, 1008 x 2.72 = 2746. All writings refer to this number as the great number of alchemical fusion. It totals the numbers of two key number squares. Mercury totals 2080 (numbers one to 64). The Sun totals numbers 1 to 36 as 666. Thus 2080 of Mercury + the solar 666 = 2746.
Conclusion: Look at the planetary megalithic yard links we just created among the ancient magic squares of Venus, Jupiter, the Sun and Mercury. Why am I blogging about this? Because its knowledge and understanding is necessary to initiate a new Golden Age of Plenty and Peace,
Three Four Time Signature Called for by the Oquaga Spirit. There is a hidden place where life is still beautiful. Water is crystal clear. It is drinkable with minimal filtration. A spirit hovers on the lake and surrounding area. I was most fortunate. The spirit took a liking to me. It accompanied me on walks through the woods and over the mountains. As I say in one of my poems, called The Oquaga Spirit: “So much she needed an ear, she ignored my tranquility.” Who is this spirit? I sensed it was a female from the Lennie Lenape American Indians. At one time their domain was also around the lake. Women ruled the roost. What characterized this spirit?
First and foremost: It loves music. At 4:30 P.M. a showboat went around the lake. The guests sang with gusto as it circled its perimeters.
The spirit loves ballroom dancing. As a matter of fact, it inspired our ballroom dancing CD, Dancing Near You. We had ballroom dance instructors from all over the country offering their thoughts. I wrote down the music. My wife Sharon was the arranger.
It loves wisdom and knowledge. Many of the blogs on DSOworks.com were communicated to me by this Indian spirit.
The Indian spirit was a great advocate the Golden Rule: “Do unto others as you would have them do unto you.” It did not like contrary people.
What the Oquaga Spirit Said About Three Four Time Signature
The spirit dictated my poetry book, The Oquaga Spirit Speaks, in triple time signature. The poem I quote is Nature Loves to Waltz. Its concluding quatrain is:
Man likes duple meters
His triple meters wane.
Return ye to the waltzes of Vienna
And the vibrant boleros of Spain.
So what is my poetic plan? Simply, to tour the world reciting the wisdom of the Oquaga Spirit. Also, I have a few openings for piano lessons in Sarasota. Here is a free poetry sample on youtube. May the spirit be with you!
Triple Meter Has All But Disappeared. I refer to music beats per measure. Waltzes are in triple meter. You count 1-2-3 over and over. They are scarce. They are also memorable. For example we have Piano Man and You Light Up My Life. Two more are Take it to the Limit and Morning Has Broken. I would venture to conservatively guess that perhaps 1 in 5,000 popular selections that get air time today are written in triple meter. According to Wikipedia, it is a musical meter characterized by a primary division of 3 beats to the bar, usually indicated by 3 (simple) or 9 (compound) in the upper figure of the time signature.
Compound triple drum pattern: divides each of three beats into three Play (help·info)
Triple meter is much less common in traditions such as rock & roll and jazz. The most common time in rock, blues, country, funk, and pop is duple and quadruple.
Duple and quadruple meter are sharp and angular. A conductor uses angular strokes of his baton in 2/4 and 4/4. For example, 2/4 is conducted with an angular up and down motion for one and two. Triple meter, on the other had can be conducted with circles or curves. A circle is completed with each set of 1-2-3 beats. Let’s apply meter to yang and yin. Duple and quadruple meters are yang. Triple meters are yin. What does this mean for society? Yang is male. With 4/4 or 2/4 meter, the male mostly dominates. While in 3/4 the yin or female becomes more dominant. We are about to see a massive return dominant 3/4 meter. It will be the age of the glorification for the ladies.
Our Drinking Song From the Princess and the Peasant Uses Triple Meter with a Quadruple Meter Introduction
As men and women come together to waltz, yin and yang become balanced. In so many dances, since the Strauss father and son composers, contact is scarce. However, trends are cyclic. The waltz will return in a big way. I am currently playing piano at the Crab and Fin in Sarasota. Deliberately, I pump a lot of 3/4 time out of the piano. Then, from Christmas to Easter I will be at the Gasparilla Inn in Boca Grande, Fl. Of course, I plan to play 3/4 time. This includes many Strauss waltzes. Watch for more posts of my original music in 3/4 time on youtube. The Princess and the Peasant is about to make a big splash. Also, off- season, I offer piano lessons in Sarasota.