A Geometry of Music PDF Download
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Author: Dmitri Tymoczko
Publisher: OUP USA
ISBN: 0195336674
Category : Mathematics
Languages : en
Pages : 469
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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.
Author: Dmitri Tymoczko
Publisher: OUP USA
ISBN: 0195336674
Category : Mathematics
Languages : en
Pages : 469
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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.
Author: Hans Jenny
Publisher: Macromedia
ISBN: 9781888138078
Category : Cycles
Languages : en
Pages : 0
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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.
Author: Godfried T. Toussaint
Publisher: CRC Press
ISBN: 135124776X
Category : Mathematics
Languages : en
Pages : 371
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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.
Author: Godfried T. Toussaint
Publisher: CRC Press
ISBN: 1466512032
Category : Mathematics
Languages : en
Pages : 357
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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
Author: Bruce Rawles
Publisher: Elysian Publishing
ISBN: 9780965640572
Category : Geometry
Languages : en
Pages : 218
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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.
Author: Richard Heath
Publisher: Simon and Schuster
ISBN: 1644111195
Category : Body, Mind & Spirit
Languages : en
Pages : 465
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Book Description
Reveals how the number science found in ancient sacred monuments reflects wisdom transmitted from the angelic orders • Explains how the angels transmitted megalithic science to early humans to further our conscious development • Decodes the angelic science hidden in a wide range of monuments, including Carnac in Brittany, the Great Pyramid in Egypt, early Christian pavements, the Hagia Sophia in Istanbul, Stonehenge in England, and the Kaaba in Mecca • Explores how the number science behind ancient monuments gave rise to religions and spiritual practices The angelic mind is founded on a deep understanding of number and the patterns they produce. These patterns provided a constructive framework for all manifested life on Earth. The beauty and elegance we see in sacred geometry and in structures built according to those proportions are the language of the angels still speaking to us. Examining the angelic science of number first manifested on Earth in the Stone Age, Richard Heath reveals how the resulting development of human consciousness was no accident: just as the angels helped create the Earth’s environment, humans were then evolved to make the planet self-aware. To develop human minds, the angels transmitted their own wisdom to humanity through a numerical astronomy that counted planetary and lunar time periods. Heath explores how this early humanity developed an expert understanding of sacred number through astronomical geometries, leading to the unified range of measures employed in their observatories and later in cosmological monuments such as the Giza Pyramids and Stonehenge. The ancient Near East transformed megalithic science into our own mathematics of notational arithmetic and trigonometry, further developing the human mind within the early civilizations. Heath decodes the angelic science hidden within a wide range of monuments and sites, including Carnac in Brittany, the Great Pyramid in Egypt, Teotihuacan in Mexico, early Christian pavements, the Hagia Sophia in Istanbul, and the Kaaba in Mecca. Exploring the techniques used to design these monuments, he explains how the number science behind them gave rise to ancient religions and spiritual practices. He also explores the importance of lunar astronomy, first in defining a world suitable for life and then in providing a subject accessible to pre-arithmetic humans, for whom the Moon was a constant companion.
Author: David Elkington
Publisher: Simon and Schuster
ISBN: 1644111667
Category : Body, Mind & Spirit
Languages : en
Pages : 432
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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.
Author: John Martineau
Publisher: eBook Partnership
ISBN: 1912706245
Category : Mathematics
Languages : en
Pages : 416
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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
Author: Alexander Lauterwasser
Publisher: Macromedia
ISBN: 9781888138092
Category : Nature photography
Languages : en
Pages : 0
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Book Description
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.
Author: Karen L. French
Publisher: Duncan Baird Publishers
ISBN: 178028845X
Category : Body, Mind & Spirit
Languages : en
Pages : 239
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Book Description
Encompassing nature, science, art, architecture, and spirituality, and illustrated with over 700 photographs and line drawings, The Hidden Geometry of Life illuminates the secret underpinnings of existence. In her trademark easy-to-understand style, mathematician Karen French shows how sacred geometry permeates every level of being, manifesting itself in simple shapes and numbers, music and sounds, light and color, even in the mysteries of creation itself. But these geometrical archetypes are more than the building blocks of reality: they are gateways to profound new levels of awareness.
