1 GENETIC CODE AS A HARMONIC SYSTEM: TWO SUPPLEMENTS Miloje M. Rakočević Department of Chemistry, Faculty of Science, University of Niš, Ćirila i Metodija 2, Serbia (E-mail: m.m.r@eunet.yu) Abstract. The paper represents two supplements to the source paper, q-bio.OT/0610044, with two new series of harmonic structures of the genetic code, determined by Gauss arithmetical algorithm through atom number balances. By this the determination itself appears as a connection between Gauss algorithm and polarity of molecules (about polarity: in Suppl. 2). SUPPLEMENT 1 1. Introduction. In this supplement we give a new series of harmonic structures of the genetic code, determined by Gauss arithmetical algorithm as it is shown in the source paper (Rakočević, 2006a), q-bio.OT/0610044. In source paper beside others, we showed that 16 non-contact canonical amino acids (AAs), in an amino acid molecule size order, are determined by a Gauss’ arithmetical algorithm. In this supplement however we show that the same is valid – for the same 16 non-contact amino acids – for their coding order (ordinal number) in Genetic Code Table (GCT). The difference is in the fact that here are valid only two last steps from the said Gauss’ algorithm. Namely, from all Gauss’ algorithm quantums – 11, 21, 31, 41,( ), 61, 71, 81, 91 – only two last steps are here in the „game“; the quantums „81“ and „91“ as well as their arithmetical mean 86±0. (Cf. source paper-Figure 1 and see the positions of quantums 86±1 in source paper-Figure 1.1.) As in source paper, all determinations are realized through principle of minimum change, i.e. through the unit atom number balances in first or in the second position of the digit- number-notation, respectively (x±00, x±01; x±10), (y±00, y±01; y±10).