Product Description: This book represents a new approach to musical creativity, dealing with the semiotics, mathematical principles, and software for creativity processes.After a thorough introduction, the book offers a first practical part with a detailed tutorial for students in composition and improvisation, using musical instruments and music software...read more

Product Description: Volume 2 of Musimathics continues the story of music engineering begun in Volume 1, focusing on the digital and computational domain. Loy goes deeper into the mathematics of music and sound, beginning with digital audio, sampling, and binary numbers, as well as complex numbers and how they simplify representation of musical signals...read more

Product Description: This study demonstrates how smooth voice leading in music can be effectively modeled using concepts from abstract algebra. Minute voice-leading displacements are explained as iterations of the basic operation, the single-semitone transformation (SST)...read more

Product Description: Establishing a new genre of musical analysis, this book goes beyond the usual analysis of chord symbols and period forms to examine such topics as: Fibonacci number and golden mean proportions, Statistics for distinguishing among styles, Self-similarity in form...read more

Looks at the mathematical aspects of music, covering such topics as compositional techniques, scales, tuning systems, and music criticism.

Product Description: One is a science, the other an art; one useful, the other seemingly decorative, but mathematics and music share common origins in cult and mystery and have been linked throughout history. Emblems of Mind is Edward Rothstein’s classic exploration of their profound similarities, a journey into their “inner life...read more

This musicological study, by persuasive explanation, shows how, adhering to certain exact ratios and proportions, music gains objective power. The inquiry is scientific, the solutions ingenious. Following unexplored and unconventional lines, the author brings together what, on the surface, appear to be three separate lines: Judaism, Hinduism, and the Gurdjieff Work. Their link is musical harmonics, or the magical science of connection between sounds. The failure of modern musicians to achieve the magical effects long ascribed to music by the ancients is due to the prevailing ignorance of those who know nothing about the objective laws on which music is based. Ancient cultures knew how the laws of harmonics (or what comes in between the tones) could evoke metaphysical correspondences of a spiritual nature, as did Gurdjieff. The Hebrews encoded harmonics in their Tree of Life diagram, the Hindus incorporated the potent musical information in a secretive "Music of the Path," and Gurdjieff enshrined it in the Enneagram symbol of the Work. In this groundbreaking book, the author presents a provocative and engaging picture of how these laws work. The wealth of new information will have a profound impact on modern views of music and its laws.

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