A Geometry of Music


Book Description

In this groundbreaking book, Tymoczko uses contemporary geometry to provide a new framework for thinking about music, one that emphasizes the commonalities among styles from Medieval polyphony to contemporary jazz.




Cymatics


Book Description

An overview of the pioneering work done by Dr. Hans Jenny with audible vibration on various substances. His research had led to speculation about the origin of matter and its relation to vibration and sound.




The Geometry of Musical Rhythm


Book Description

The original edition of The Geometry of Musical Rhythm was the first book to provide a systematic and accessible computational geometric analysis of the musical rhythms of the world. It explained how the study of the mathematical properties of musical rhythm generates common mathematical problems that arise in a variety of seemingly disparate fields. The book also introduced the distance approach to phylogenetic analysis and illustrated its application to the study of musical rhythm. The new edition retains all of this, while also adding 100 pages, 93 figures, 225 new references, and six new chapters covering topics such as meter and metric complexity, rhythmic grouping, expressive timbre and timing in rhythmic performance, and evolution phylogenetic analysis of ancient Greek paeonic rhythms. In addition, further context is provided to give the reader a fuller and richer insight into the historical connections between music and mathematics.




The Geometry of Musical Rhythm


Book Description

The Geometry of Musical Rhythm: What Makes a "Good" Rhythm Good? is the first book to provide a systematic and accessible computational geometric analysis of the musical rhythms of the world. It explains how the study of the mathematical properties of musical rhythm generates common mathematical problems that arise in a variety of seemingly dispara




The Jazz of Physics


Book Description

A spectacular musical and scientific journey from the Bronx to the cosmic horizon that reveals the astonishing links between jazz, science, Einstein, and Coltrane More than fifty years ago, John Coltrane drew the twelve musical notes in a circle and connected them by straight lines, forming a five-pointed star. Inspired by Einstein, Coltrane put physics and geometry at the core of his music. Physicist and jazz musician Stephon Alexander follows suit, using jazz to answer physics' most vexing questions about the past and future of the universe. Following the great minds that first drew the links between music and physics-a list including Pythagoras, Kepler, Newton, Einstein, and Rakim — The Jazz of Physics reveals that the ancient poetic idea of the "Music of the Spheres," taken seriously, clarifies confounding issues in physics. The Jazz of Physics will fascinate and inspire anyone interested in the mysteries of our universe, music, and life itself.




The Geometry Code


Book Description

Integrate practical insights from modern physics, ancient Hermetic Laws, non-dual meta-physics, transpersonal psychology, and humor, as tools for undoing conflicting beliefs we've dreamed ourselves into. The seven Hermetic laws are explored in depth and demonstrate how a mindfulness that embraces 'other' as 'self' can reverse the typical misapplication of these inescapable laws of Mentalism, Correspondence, Vibration, Polarity, Rhythm, Cause & Effect and Generation. Ubiquitous geometric symbols, paired to each of these laws - the circle, vesica piscis, sine wave, line, spiral, fractal and yin-yang - and their countless commonplace variations, seen from the vantage point of shared interests, reflect these ideas. The inspired use of natural law restores attributes of life, love, strength, purity, beauty, perfection and gratitude to our awareness.




Harmonograph


Book Description

Ashton presents a short, illustrated introduction to the evolution of simple harmonic theory. Illustrations.




Quadrivium


Book Description

Composed of six previously published works.




Quadrivium


Book Description

The Quadrivium consists of the four Liberal Arts of Number, Geometry, Music, and Cosmology, studied from antiquity to the Renaissance as a way of glimpsing the nature of reality. They synthesize number, space, and time. Geometry is number in space, music is number in time, and the cosmos expresses number in space and time. Number, music, and geometry are metaphysical truths, good and beautiful everywhere at all times. Life across the universe investigates them. They foreshadow the physical sciences. This is the first volume to bring together the Quadrivium for many hundreds of years




The Ancient Language of Sacred Sound


Book Description

• Details how sacred sites resonate at the same frequencies as both the Earth and the alpha waves of the human brain • Shows how human writing in its original hieroglyphic form was a direct response to the divine sound patterns of sacred sites • Explains how ancient hero myths from around the world relate to divine acoustic science and formed the source of religion The Earth resonates at an extremely low frequency. Known as “the Schumann Resonance,” this natural rhythm of the Earth precisely corresponds with the human brain’s alpha wave frequencies--the frequency at which we enter into and come out of sleep as well as the frequency of deep meditation, inspiration, and problem solving. Sound experiments reveal that sacred sites and structures like stupas, pyramids, and cathedrals also resonate at these special frequencies when activated by chanting and singing. Did our ancestors build their sacred sites according to the rhythms of the Earth? Exploring the acoustic connections between the Earth, the human brain, and sacred spaces, David Elkington shows how humanity maintained a direct line of communication with Mother Earth and the Divine through the construction of sacred sites, such as Stonehenge, Newgrange, Machu Picchu, Chartres Cathedral, and the pyramids of both Egypt and Mexico. He reveals how human writing in its original hieroglyphic form was a direct response to the divine sound patterns of sacred sites, showing how, for example, recognizable hieroglyphs appear in sand patterns when the sacred frequencies of the Great Pyramid are activated. Looking at ancient hero legends--those about the bringers of important knowledge or language--Elkington explains how these myths form the source of ancient religion and have a unique mythological resonance, as do the sites associated with them. The author then reveals how religion, including Christianity, is an ancient language of acoustic science given expression by the world’s sacred sites and shows that power places played a profound role in the development of human civilization.