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