A mathematical basis for spectrum of discrete Electromagnetic Field (EMF) frequencies, that were shown to affect health and disease [1], was elaborated and generalized [2]. The particular EMF pattern was earlier revealed by us through a meta-analysis of more than 500 biomedical publications that reported life-sustaining as well as life-decaying EMF frequencies. The detected eigenfrequencies could be arithmetically scaled according to an adapted Pythagorean tuning. The particular semi-harmonic scale exhibits a core pattern of twelve eigenfrequency functions with adjacent self-similar patterns, according to octave hierarchy [1]. The mathematical analysis shows that the derived arithmetical scale exhibits a sequence of unique products of integer powers of 2, 3 and a factor √2. These discrete eigenfrequency values can be related to supposed bio-resonance of solitons or polaron quasi-particles in life systems. Bio-solitons are conceived as self-reinforcing solitary waves, that are constituting local fields, being involved in intracellular geometric ordering and patterning, as well as in intra- and intercellular signaling. Additional literature search, revealed very similar frequency patterns in the color spectrum, for wave resonances of nucleotides in aqueous solution, for a candidate RNA-catalyst, as well as for sound-induced vibrations evoked in thin vibrating membranes as reported by Chladny. This collective evidence points at a generalized biophysical algorithm underlying complexity in nature, evidently manifest in both animate and non-animate modalities, coined by us the Generalized Musical (GM) principle. The particular semi-harmonic frequency spectrum may reflect a discrete pilot-wave structure that can be interpreted as a, so called, hidden variable in Bohm’s causal interpretation of quantum field theory and is mathematically expressed as follows: