学术文献库

The collaboration of mathematics in the two musical systems of Pythagorean sounds and of equal sounds is evident and opportune for generating the elements and managing their relationships. The only essential notion for a rational intervention in the two sound worlds is that of distance between sounds. The scale of natural sounds does not seem to dialogue directly with a purely mathematical module that articulates its definition and is generally presented as a manual adjustment of the ancient Pythagorean sounds. The model of proportions that formed and inspired the architecture of the sixteenth century, an era in which the natural scale emerges, provides a clear idea for systematically adjusting natural sounds; on the other hand, the generation of sounds based and started exclusively on the respect of the proportions proposes interesting natural sound systems. The object is not so much to illustrate the harmonic device of the already formed natural scale, as to implement the formation of sound elements that respond to the unitary principle of proportion and combine harmoniously.