A Compendium Of Musical Mathematics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Compendium Of Musical Mathematics write by Franck Jedrzejewski. This book was released on 2024-02-28. A Compendium Of Musical Mathematics available in PDF, EPUB and Kindle. The purpose of this book is to provide a concise introduction to the mathematical theory of music, opening each chapter to the most recent research. Despite the complexity of some sections, the book can be read by a large audience. Many examples illustrate the concepts introduced. The book is divided into 9 chapters.In the first chapter, we tackle the question of the classification of chords and scales. Chapter 2 is a mathematical presentation of David Lewin's Generalized Interval Systems. Chapter 3 offers a new theory of diatonicity in equal-tempered universes. Chapter 4 presents the Neo-Riemannian theories based on the work of David Lewin, Richard Cohn and Henry Klumpenhouwer. Chapter 5 is devoted to the application of word combinatorics to music. Chapter 6 studies the rhythmic canons and the tessellation of the line. Chapter 7 is devoted to serial knots. Chapter 8 presents combinatorial designs and their applications to music. The last chapter, chapter 9, is dedicated to the study of tuning systems.
Musical Mathematics
Musical Mathematics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Musical Mathematics write by Cris Forster. This book was released on 2010-07-14. Musical Mathematics available in PDF, EPUB and Kindle. Musical Mathematics is the definitive tome for the adventurous musician. 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. Author, composer, and builder Cris Forster illuminates the mathematical principles of acoustic music, offering practical information and new discoveries about both traditional and innovative instruments.With this knowledge readers can improve, or begin to build, their own instruments inspired by Forster's creationsshown in 16 color plates. For those ready to step outside musical conventions and those whose curiosity about the science of sound is never satisfied, Musical Mathematics is the map to a new musical world.
Music: A Mathematical Offering
Music: A Mathematical Offering - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Music: A Mathematical Offering write by Dave Benson. This book was released on 2007. Music: A Mathematical Offering available in PDF, EPUB and Kindle. This book explores the interaction between music and mathematics including harmony, symmetry, digital music and perception of sound.
Curvature in Mathematics and Physics
Curvature in Mathematics and Physics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Curvature in Mathematics and Physics write by Shlomo Sternberg. This book was released on 2013-04-17. Curvature in Mathematics and Physics available in PDF, EPUB and Kindle. Expert treatment introduces semi-Riemannian geometry and its principal physical application, Einstein's theory of general relativity, using the Cartan exterior calculus as a principal tool. Prerequisites include linear algebra and advanced calculus. 2012 edition.
Science, Music, And Mathematics: The Deepest Connections
Science, Music, And Mathematics: The Deepest Connections - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Science, Music, And Mathematics: The Deepest Connections write by Michael Edgeworth Mcintyre. This book was released on 2021-11-03. Science, Music, And Mathematics: The Deepest Connections available in PDF, EPUB and Kindle. Professor Michael Edgeworth McIntyre is an eminent scientist who has also had a part-time career as a musician. From a lifetime's thinking, he offers this extraordinary synthesis exposing the deepest connections between science, music, and mathematics, while avoiding equations and technical jargon. He begins with perception psychology and the dichotomization instinct and then takes us through biological evolution, human language, and acausality illusions all the way to the climate crisis and the weaponization of the social media, and beyond that into the deepest parts of theoretical physics — demonstrating our unconscious mathematical abilities.He also has an important message of hope for the future. Contrary to popular belief, biological evolution has given us not only the nastiest, but also the most compassionate and cooperative parts of human nature. This insight comes from recognizing that biological evolution is more than a simple competition between selfish genes. Rather, he suggests, in some ways it is more like turbulent fluid flow, a complex process spanning a vast range of timescales.Professor McIntyre is a Fellow of the Royal Society of London (FRS) and has worked on problems as diverse as the Sun's magnetic interior, the Antarctic ozone hole, jet streams in the atmosphere, and the psychophysics of violin sound. He has long been interested in how different branches of science can better communicate with each other and with the public, harnessing aspects of neuroscience and psychology that point toward the deep 'lucidity principles' that underlie skilful communication.
