Название: Music Numinous and Mathematics: Form and Analysis Through Fourier SpaceАвтор: Eva Li
Издательство: Independently Published
Год: 2018
Формат: PDF
Размер: 89 Мб
Язык: английский / English
This volume brings new ideas to the conundrum by taking up certain philosophers not usually cited in connection with music and the classical Greek notion of process. The book explains the state of the art in the use of the discrete Fourier transform (DFT) of musical structures such as rhythms or scales. The book opens up an original approach to the transcendent and, to many, the sacred quality heard in music, drawing both upon authorities concerned with the numinous (that feeling of awe and attraction behind religious experience) and upon his own lifelong engagement with music as scholar, teacher and composer.
From Ancient Greek times, music has been seen as a mathematical art, and the relationship between mathematics and music has fascinated generations. This collection of wide ranging, comprehensive and fully-illustrated papers, authorized by leading scholars, presents the link between these two subjects in a lucid manner that is suitable for students of both subjects, as well as the general reader with an interest in music. Physical, theoretical, physiological, acoustic, compositional and analytical relationships between mathematics and music are unfolded and explored with focus on tuning and temperament, the mathematics of sound, bell-ringing and modern compositional techniques.