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The collaboration of mathematics in the two musical systems of Pythagoreansounds and of equal sounds is evident and opportune for generating the elementsand managing their relationships. The only essential notion for a rationalintervention in the two sound worlds is that of distance between sounds. Thescale of natural sounds does not seem to dialogue directly with a purelymathematical module that articulates its definition and is generally presentedas a manual adjustment of the ancient Pythagorean sounds. The model ofproportions that formed and inspired the architecture of the sixteenth century,an era in which the natural scale emerges, provides a clear idea forsystematically adjusting natural sounds; on the other hand, the generation ofsounds based and started exclusively on the respect of the proportions proposesinteresting natural sound systems. The object is not so much to illustrate theharmonic device of the already formed natural scale, as to implement theformation of sound elements that respond to the unitary principle of proportionand combine harmoniously.

La matematica armonia dei suoni naturali. Ovvero, l'armonica matematica dei suoni naturali