Abstract

Foreword: Mathesis as a philosophy of the beauty of music -- The constructive relationships between music and mathematics : the Pythagorean conception of universal music and its spread in the worldview of later periods -- Semantic interpretation of the interaction between music and mathematics : mystic middle ages and the sacral baroque -- Constructive aspects of the interaction between music and other arts -- Musica mathematica in practice : aspects of analysis -- Constructive aspects of music composition -- Semantic aspects of music composition -- The mathematized musical graph -- Implications of modern mathematical theories.