One thread spans the globe

Mayan Egyptian Connection Spans Atlantic Ocean

Mayan Egyptian Connection Spans Atlantic Ocean. Who were the Mayans? The Maya developed their first civilization in the Preclassic period.[9] Scholars continue to discuss when this era of Maya civilization began. Discoveries of Maya occupation at Cuello, Belize have been carbon dated to around 2600 BC.[10]  The civilization still had great endurance. Look back some 3,000 years. Mayan Tikal was around from 250 to 700 AD. At its height during the Late Classic, the Tikal city polity had expanded to have a population of well over 100,000.[37]

Egyptian Mayan connection
Part of the courtyard at Tikal.

Egyptian Mayan Connection

We have no written evidence of connection between the two cultures and their countries. But, we do have similarity by measurement. Many are too fixated on proof by written record. They forget that numbers and letters once shared the same symbol. This practice of using the same symbol for both is  called gematria- a Greek word. Only our modern languages (except Hebrew) have separate symbols for both. In effect, when you made a measurement, you also  could imply a (1) A word. (2) A phrase. (3) An entire sentence. (4) Even a larger unit of writing translated into numbers.

Great Court at Tikal

A surviving Mayan great court is at Tikal. It outlines a rectangle. East to West is 400 feet in length. North to South is 250  feet in width. The courtyard is flanked by platforms, large temples and pyramids. The ratio of the length to the width of the Tikal courtyard is 8:5. Note 400/250 = 8/5 = 1.6. Compare this to the Great Pyramid of Egypt.  One side of the square base is smaller Egyptian 440 cubits of 1.71818…feet.  Its truncated height is 275 of the same sized cubits. 440÷275 = 8/5 = 1.6.

Comparing the Great Pyramid’s Dates to the Mayan first civilization in the Preclassic period.[9]

Based on a mark in an interior chamber naming the work gang. and a reference to the fourth dynasty Egyptian Pharaoh Khufu, Egyptologists believe that the pyramid was built around 2560 BC. As stated above, Mayan carbon dating goes back to 2600 B.C. The dimensions of the Mayan courtyard and of the Great Pyramid had the same ratio of 8 to 5. These numbers are part of the Fibonacci series:

Related imageLeonardo Bonacci who was born 600 years before Beethoven. The Fibonacci series, named after him. is colored in red. Beethoven used the Fibonacci numbers in composing his fifth symphony. In the internal link underneath, I relate Fibonacci numbers to ancient number squares. I don’t know that Fibonacci ever made the connection?

BEETHOVEN’S DELIBERATE USE OF THE FIBONACCI NUMBERS

Behind Leonardo Bonacci’s back, the highest red number is 55. Each new number is the sum of the preceding two. Number 34 precedes 55. So, let’s continue the series: 34 + 55 = 89. Next, 55 + 89 = 144. Next 89 + 144 = 233 (the length of Beethoven’s opening section). Next 144 + 233 = 377 (which  the length of Beethoven’s development section). Beethoven, being the brilliant genius that he was, knew exactly what he was doing. Note in red numbers. Number five is the 1st separated number. It is not consecutive. Almost every composer uses phrases in 4 bars. The genius of Beethoven made the opening phrase 5 bars long on purpose. He knew what he was doing!

Here is an Egyptian Mayan connection
Five bar opening phrases of Beethoven’s 5th Symphony.

The Best Architecture and Music are at Least Based on Tradition

The Egyptian Mayan connection  of the 8 to five ratio is found with Beethoven. Of course, in this symphony Beethoven uses many phrases also use 8 bar phrases.  When we listen to his 5th symphony it sounds natural. Can you imagine how he must have struggled to make the bar length come out right? Leonard Bernstein says of Beethoven and the 1st movement in The Joy of Music: “he will give away his life just to make sure that one note follows another inevitably.” In conclusion, I think that in addition to an even greater appreciation of Beethoven, we have graphic proof the relationship between music, numbers and architecture in this post:  The Mayan Egyptian Connection and even more.  This is why music lessons, theory and composition increase aptitude for mathematics.

Fibonacci Forgot the Number Squares

 

 

 

 

 

 

 

 

Beethoven’s 5th is a Musical Molecule

{\clef treble \key c \minor \time 2/4 {r8 g'8[ g'8 g'8] | ees'2\fermata | r8 f'8[ f'8 f'8] | d'2~ | d'2\fermata | } } Two four note molecules

Beethoven’s 5th is a musical molecule. Well, on the periodic chart  atoms are arranged into eight families by, that is in order of the number of protons (i.e. hydrogen 1, helium 2, lithium 3- etc). In the same manner, the tones of our major, minor and modal scales are arranged by eight successive tones. As elements have repeated properties every time they have the same number of electrons in the outer most shell; sympathetic vibrations of musical tones are on a higher level every eight notes (which is called an octave) as, for example a lower “C” vibrates sympathetically with a higher “C”. On the periodic chart, the elements, for example, of beryllium, magnesium, and calcium are located on successive octaves on the periodic chart and also have sympathetic properties.

Our musical scales and the chemical elements work by base eight as does our dancing. The choreographer in the Broadway show,” A Chorus Line“, yells out: “five, six, seven, eight” in tempo to start the dance. (I will dwell on the specific benefits of using base eight over base ten or the binary in future blogs). Broadly speaking, base eight promotes life and love. The base that you use to count with also shapes your thoughts and consequent actions.

Now let’s compare a musical motif to an elemental molecule. Most of its 1st movement is based on the above four notes for its development. If we used only three notes of his four note motif; Beethoven’s 5th would be unrecognizable. In this regard we can compare a musical motif to a molecule which is defined as the smallest particle that a compound can be can be divided into and yet still exist as that compound. For example, the base unit of methane is C8H18 (eight carbon atoms attached to 18 hydrogen atoms). If even one atom of carbon or hydrogen were to be removed, it would cease to be methane.  In the same manner,  one note taken out of the opening of Beethoven’s 5th, it would have a totally different essence. Conclusion: Beethoven’s 5th is a musical molecule. Just as a musical motif provides the identity of music, a single molecule provides the identity of a substance. We can say that Beethoven’s 5th makes for good chemistry.