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.