In the same manner that Newton did not invent gravity but brilliantly observed the “apple falling to Earth” pulled by an invisible force. Newton built a school of mathematics to explain his observations. That is how every discovery meets invention.
Following a similar path Leonardo Fibonacci was considered to be the most talented western mathematician of the Middle Ages. Fibonacci was born around 1170 and believed to have died between 1240 and 1250. Both events in the Republic of Pisa, Italy.
In 1202 Fibonacci published the book titled ” Liber Abaca”. Liber Abaca posed and solved a problem involving the growth of a population of rabbits based on idealized assumptions. The solution, generated by generation, was a sequence of numbers later known as Fibonacci numbers. Here we see the sequence of discovering a pattern in nature and inventing numerical formulas to define and describe them.
Similar to Newton, Fibonacci found and grasped elements that could be called the very core of the existence within the known universe. Without knowledge of gravity there would not be any knowledge of spacetime and quantum energy. Fibonacci found and encapsulated a pattern found throughout nature, even within the patterns of the universe. The Fibonacci sequence is contained within the DNA sequence of nature.
So far, in exploring the world according to Fibonacci we have covered the following areas:
>>Figuring out Fibonacci’s Technical Chart
>>The Fibonacci Phenotype and Genotype
>>The Mystery of the Fibonacci Sequence
>>Crypto and Technical Analysis: The Fibonacci Mystery Continues.
Just when I thought I had covered the very long ramifications of Fibonacci’s discovery and invention I woke up this morning thinking that the sequence could be played on my piano!!! Like Christmas in July I researched the Fibonacci sequence in music. Here it is.
The Fibonacci Sequence plays a big part in Western Harmony and musical scales. In a scale, the dominant note is the fifth note, which is also the eight note in all 13 notes that make up the octave. Eight divided by 13 equals 0,61538; the approximate Golden Ratio.
The Golden Ratio is used as the interval between carrier and modulation; such as the resulting timbre in an inharmonic clout of golden-ratio related partials. To get a sense of what the golden ratio may sound like I’ll try to include a video available on UTUBE. If it doesn’t make it do try to find and see it. It’s nature playing its favorite tune.
Listen and enjoy!!! Thank you Newton. Thank you Fibonacci.