Name: A Mathematical System of Musical Sounds: (second Edition) (en Inglés)
SKU: 58016082
Price: 46630.00 CLP
Availability: InStock
Author: Diaconescu, Stefan Stelian
ISBN: 9781723708237

portada A Mathematical System of Musical Sounds: (second Edition) (en Inglés)

A Mathematical System of Musical Sounds: (second Edition) (en Inglés)

Formato

Libro Físico

Autor

Stefan Stelian Diaconescu

Editorial

Independently Published

Idioma

Inglés

N° páginas

236

Encuadernación

Tapa Blanda

Dimensiones

22.9x15.2x1.4 cm

Peso

0.35 kg.

ISBN13

9781723708237

Categorías

Instrumentos musicales y conjuntos instrumentales

A Mathematical System of Musical Sounds: (second Edition) (en Inglés)

Stefan Stelian Diaconescu (Autor) · Independently Published · Tapa Blanda

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Reseña del libro "A Mathematical System of Musical Sounds: (second Edition) (en Inglés)"

The relation between music and mathematics is well known for about two thousand and a half years, but new ideas can always emerge. The present paper tries to present this relation in a new perspective. First of all, we will give mathematical definitions of some musical notions like: musical sounds, musical scale, musical gamut, musical mode, relative gamut, chromatic gamut, musical piece, transposition. Secondly, we will introduce some new principles, like the dissonance principle which allows a quantitative measure of the dissonance of a set of any sounds, the principle of natural system construction which allows building a set of natural sound systems, and the third principle, the sorting principle, which explains how the natural heptatonic scale could be deduced. Based on these three principles, we will finally give a quantitative measure of the fact that temperament musical sound system is accepted today and a quantitative comparison between temperament system and natural system. This second edition of the book introduces a new chapter "The harmonic power" that gives some new explications of the "The sorting principle," that presents how the musical gamut are built.