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

TL;DR

This paper explores the mathematical relationships underlying natural musical sounds, focusing on the concept of sound distance and proportion-based sound system generation, aiming to develop a systematic approach to natural harmony.

Contribution

It introduces a new model for generating natural sound systems based on proportional relationships, bridging ancient Pythagorean concepts with natural sound scales.

Findings

Proposes a systematic method for adjusting natural sounds using proportions.

Highlights the importance of sound distance in musical harmony.

Connects historical architectural proportion models with sound system generation.

Abstract

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.