Golden Ratio?

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Why the Name  "Golden Ratio"

Leonardo Fibonacci in the 12th century discovered this system of numbers, which is now called the "Fibonacci Series"

Leonardo Fibonacci

Phi is seen in  the shapes of geometry, and appears in the works of great artists like  Leonardo DaVinci, the music of composers, and in theology  including the Bible. 

Music and the Golden Ratio

Medici violin design using the golden section
Fibonacci and phi are used in the design of violins
Musical scales are built upon the simple numerical series that is the foundation for the  mathematical relationship of  phi.  Starting with 0 and 1, each new number in the series is simply the sum of the two before it:  0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, . . . 13 notes separate each octave of 8 notes in a musical scale, of which the 5th and 3rd notes create the basic foundation of all chords, and are based on whole tone which is 2 steps from the root tone, that is the 1st note of the scale
Musical frequencies are also based on  Phi:  the number 1.618033988

Also called the "Divine Proportion" during the Renaissance, the Golden Ratio or Phi has been used by mankind  for centuries, as seen in the world's greatest architecture from the Great Pyramid of Egypt  to the Greek Parthenon to today's Pentagon in Washington DC. 
 


The Golden Ratio appears everywhere in nature -- spirals in seashells and the galaxies; the rings of Saturn; the design  and markings of plants, fish, birds, mammals, and insects; in the design of the human body , DNA and the human  heartbeat; and also the color spectrum.  
  It is also  used to predict and analyze the stock market, and also to predict population growth.  The shape of an everyday credit card is an example of a golden rectangle illustrating the proportions of the golden section.

Thus, the Golden Ratio Project Foundation strives to honor this phenomenon of balance, harmony and order through its endeavors.

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