emblems of mind the inner life of music and mathematics

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Emblems Of The Mind

Author : Edward Rothstein
ISBN : 0380727471
Genre : Mathematics
File Size : 79. 35 MB
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Unravels the mystery of the relationship between music and mathematics, discussing their differences and their surprising similarities--including their origins and historical links

Emblems Of Mind

Author : Edward Rothstein
ISBN : 0226729540
Genre : Mathematics
File Size : 39. 97 MB
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From Kepler and the music of the spheres to Einstein and his violin, wherever we turn music and mathematics seem to bear a strong relationship. Through exploring music and math from the Greeks to the present, the chief music critic for The New York Times seeks to unravel this intriguing mystery.

Emblems Of Mind

Author : Edward Rothstein
ISBN : OCLC:655817197
Genre : Mathematics
File Size : 51. 2 MB
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Foundations Of Diatonic Theory

Author : Timothy A. Johnson
ISBN : 9780810862333
Genre : Mathematics
File Size : 83. 49 MB
Format : PDF, Kindle
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Foundations of Diatonic Theory: A Mathematically Based Approach to Music Fundamentals is an introductory, undergraduate-level textbook that provides an easy entry point into the challenging field of diatonic set theory, a division of music theory that applies the techniques of discrete mathematics to the properties of diatonic scales. After introducing mathematical concepts that relate directly to music theory, the text concentrates on these mathematical relationships, firmly establishing a link between introductory pedagogy and recent scholarship in music theory. It then relates concepts in diatonic set theory directly to the study of music fundamentals through pedagogical exercises and instructions. Ideal for introductory music majors, the book requires only a general knowledge of mathematics, and the exercises are provided with solutions and detailed explanations. With its basic description of musical elements, this textbook is suitable for courses in music fundamentals, music theory for non-music majors, music and mathematics, and other similar courses that allow students to improve their mathematics skills while pursuing the study of music.

The New Handbook Of Research On Music Teaching And Learning

Author : Richard Colwell
ISBN : 9780199771523
Genre : Music
File Size : 87. 39 MB
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Featuring chapters by the world's foremost scholars in music education and cognition, this handbook is a convenient collection of current research on music teaching and learning. This comprehensive work includes sections on arts advocacy, music and medicine, teacher education, and studio instruction, among other subjects, making it an essential reference for music education programs. The original Handbook of Research on Music Teaching and Learning, published in 1992 with the sponsorship of the Music Educators National Conference (MENC), was hailed as "a welcome addition to the literature on music education because it serves to provide definition and unity to a broad and complex field" (Choice). This new companion volume, again with the sponsorship of MENC, explores the significant changes in music and arts education that have taken place in the last decade. Notably, several chapters now incorporate insights from other fields to shed light on multi-cultural music education, gender issues in music education, and non-musical outcomes of music education. Other chapters offer practical information on maintaining musicians' health, training music teachers, and evaluating music education programs. Philosophical issues, such as musical cognition, the philosophy of research theory, curriculum, and educating musically, are also explored in relationship to policy issues. In addition to surveying the literature, each chapter considers the significance of the research and provides suggestions for future study. Covering a broad range of topics and addressing the issues of music education at all age levels, from early childhood to motivation and self-regulation, this handbook is an invaluable resource for music teachers, researchers, and scholars.

The Sacred In Music

Author : Albert L. Blackwell
ISBN : 0664224865
Genre : Religion
File Size : 48. 12 MB
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Religion and music are complementary resources for interpreting our lives. Music serves the sacred in ways that can be specified and articulated, yet the connection between them has been sorely neglected in the scholarly study of religion. In The Sacred in Music, Albert Blackwell brings the two subjects together in a celebration of the rich Western musical tradition, both classical and Christian.

Fractals In Music

Author :
ISBN : 0967172756
Genre : Music
File Size : 47. 83 MB
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Fractals in Music is intended for advanced students of music theory, whether individuals, composers, students, or teachers. It is intelligible to anyone having some knowledge of algebra and trigonometry. The many illustrations clarify such concepts as self-similarity and transforms. Book jacket.

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