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.
Topics discussed in the book include • Rhythm • Introductory music theory • The science of sound • Tuning and temperament • Symmetry in music • The Bartók controversy • Change ringing • Twelve-tone music • Mathematical ...
Musically, the student should have had some exposure to musical staffs, standard clefs, and key signatures, though all of these are explained in the text.
Berlin: Heldermann 1985 Mazzola, G.: Geometrie der Töne. Basel: Birkhäuser 1990 Mazzola, G.: presto Software Manual. Zürich: STOA music 1989–1994 Mazzola, G.: Synthesis. Zürich: STOA music 1990 Mazzola, ...
Integrating mathematics, music history, and hands-on experience, this volume serves as a comprehensive guide to the tunings and scales of acoustic instruments from around the world.
This book offers a lively exploration of the mathematics, physics, and neuroscience that underlie music.
Professor Michael Edgeworth McIntyre is an eminent scientist who has also had a part-time career as a musician. In this book he offers an extraordinary synthesis, revealing the many deep connections between science, music, and mathematics.
This text explores the many links between mathematics and different genres of music. It requires only high school mathematics. The new edition offers many updates, including several new sections.
With contributions by numerous experts
This book explores the interaction between music and mathematics including harmony, symmetry, digital music and perception of sound.
Math and Music explores the music of various cultures and the sounds heard in nature while highlighting the mathematical concepts, such as proportion, patterns, Fibonacci numbers, geometric transformations, and trigonometry, found in music.