0618

CERO SIX EIGHTEEN

Divine Proportion, Golden Number or Golden Section, has been known since antiquity. It is based on the harmonic proportion that is present in many aspects of our life, nature, the relationships between the frequencies of musical notes and represented to the people who have known about it, beauty, magic, perfection, the divine. The Divine Proportion is what we consider beautiful according to mathematics.

The Pyramid of Cheops, the Parthenon, the United Nations building, the DNA, leaves, petals, seeds, ferns, pine, cactus, sunflowers, the Mona Lisa, Vitruvian Man, the rings of Saturn, etc. All refers to the Golden Number or Divine Proportion.

The Divine Proportion is in the formal structures of the sonatas of Wolfgang Amadeus Mozart, in the Fifth Symphony by Ludwig van Beethoven in works of Franz Schubert and Debussy. The Hungarian composer Bela Bartok and French Olivier Messiaen used this ratio to determine the length of the notes of some of their works.

If you look at the keyboard of a piano, you will recognise its harmonious and golden proportions: there are 8 white keys, 5 black keys and they appear in groups of 2 and 3. The 2/3/5/8 series is, of course, the beginning of the Fibonacci series, and the proportions of all these numbers gravitate toward irrational ratio of the golden section 0.618.

 "Geometry has two great treasures: one is the Pythagorean theorem; the other, the division of a line between the end and proportional (Divine Proportion). The first thing we can compare to a measure of gold; the second one we call a precious jewel."
Johannes Kepler