Since the Greek antiquity it has been a tradition of European thinking to describe musical facts in a mathematical language. This book is the upgraded and vastl... » 

Since the Greek antiquity it has been a tradition of European thinking to describe musical facts in a mathematical language. This book is the upgraded and vastly deepened English extension of Geometri der Töne. It reflects the dramatic progress of mathematical music theory and its operationalization by information technology since the publication of Geometri der Töne in 1990. The book's formal language and models are being used by leading researchers and have become a foundation of music software design. The book includes a CD-ROM and contains contributions from 19 collaborators. «