The genetic code as a Golden mean determined system

For the first time it is shown that the genetic code, as a binary code, is determined by Golden mean through the unity of the binary-code tree and the Farey tree, corresponding to the Watson-Crick table and Gray code model of the genetic code at the same time. On the other hand, the Golden mean relations also correspond with the essentiality-nonessentiality of protein amino acids, as well as with their splitting into two classes handled by two classes of aminoacyl-tRNA synthetases.