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| Author | : Dmitri Tymoczko |
| Publisher | : OUP USA |
| Total Pages | : 469 |
| Release | : 2011-03-21 |
| Genre | : Mathematics |
| ISBN | : 0195336674 |
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.
| Author | : Hans Jenny |
| Publisher | : Macromedia |
| Total Pages | : 0 |
| Release | : 2001 |
| Genre | : Cycles |
| ISBN | : 9781888138078 |
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.
| Author | : Godfried T. Toussaint |
| Publisher | : CRC Press |
| Total Pages | : 371 |
| Release | : 2019-11-25 |
| Genre | : Mathematics |
| ISBN | : 135124776X |
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.
| Author | : Godfried T. Toussaint |
| Publisher | : CRC Press |
| Total Pages | : 357 |
| Release | : 2016-04-19 |
| Genre | : Mathematics |
| ISBN | : 1466512032 |
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
| Author | : Stephon Alexander |
| Publisher | : Basic Books |
| Total Pages | : 274 |
| Release | : 2016-04-26 |
| Genre | : Science |
| ISBN | : 0465098509 |
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.
| Author | : Bruce Rawles |
| Publisher | : Elysian Publishing |
| Total Pages | : 218 |
| Release | : 2012-04 |
| Genre | : Geometry |
| ISBN | : 9780965640572 |
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.
| Author | : John Martineau |
| Publisher | : eBook Partnership |
| Total Pages | : 416 |
| Release | : 2020-08-08 |
| Genre | : Mathematics |
| ISBN | : 1912706245 |
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
| Author | : Anthony Ashton |
| Publisher | : Bloomsbury Publishing USA |
| Total Pages | : 68 |
| Release | : 2003-04-01 |
| Genre | : Science |
| ISBN | : 0802714099 |
Ashton presents a short, illustrated introduction to the evolution of simple harmonic theory. Illustrations.
| Author | : Miguel Gutierrez; Makoto Taniguchi |
| Publisher | : iUniverse |
| Total Pages | : 124 |
| Release | : 2010-07-07 |
| Genre | : Mathematics |
| ISBN | : 1450227988 |
This monograph covers a fresh and original look at musical chords. The idea emanates from the fact that an intervallic representation of the chord leads naturally to a discrete barycentric condition. This condition itself leads to a convenient geometric representation of the chordal space as a simplicial grid. Chords appear as points in this grid and musical inversions of the chord would generate beautiful polyhedra inscribed in concentric spheres centered at the barycenter. The radii of these spheres would effectively quantify the evenness and thus the consonance of the chord. Internal symmetries would collapse these chordal structures into polar or equatorial displays, creating a platform for a thorough degeneracy study. Appropiate morphisms would allow us to navigate through different chordal cardinalities and ultimately to characterise complementary chords.
| Author | : Alexander Lauterwasser |
| Publisher | : Macromedia |
| Total Pages | : 0 |
| Release | : 2007-03 |
| Genre | : Nature photography |
| ISBN | : 9781888138092 |
In the 18th century, Chladni developed the technique of drawing a violin bow across a metal plate of sand and observing the patterns that formed. In this title, Lauterwasser extends the idea to more complex and moving sounds in water, ranging from pure sine waves to music by Beethoven, Stockhausen and overtone chanting.
