Mathematics can be as effortlessas humming a tune, if you know the tune," writes Gareth Loy. InMusimathics, Loy teaches us the tune, providing a friendly andspirited tour of the mathematics of music--a commonsense,self-contained introduction for the nonspecialist reader. It isdesigned for musicians who find their art increasingly mediated bytechnology, and for anyone who is interested in the intersection ofart and science.
In this volume, Loy presents thematerials of music (notes, intervals, and scales); the physicalproperties of music (frequency, amplitude, duration, and timbre); theperception of music and sound (how we hear); and music composition.Musimathics is carefully structured so that new topics dependstrictly on topics already presented, carrying the readerprogressively from basic subjects to more advanced ones.Cross-references point to related topics and an extensive glossarydefines commonly used terms. The book explains the mathematics andphysics of music for the reader whose mathematics may not have gonebeyond the early undergraduate level. Calling himself "acomposer seduced into mathematics," Loy provides answers tofoundational questions about the mathematics of music accessibly yetrigorously. The topics are all subjects that contemporary composers,musicians, and musical engineers have found to be important. Theexamples given are all practical problems in music and audio. Thelevel of scholarship and the pedagogical approach also makeMusimathics ideal for classroom use. Additional material can be foundat a companion web site.
Gareth Loy is a musician andaward-winning composer. He has published widely and, during a longand successful career at the cutting edge of multimedia computing,has worked as a researcher, lecturer, programmer, software architect,digital systems engineer, expert witness, and generally as a providerof software engineering and consulting services internationally.
"Musimathics is destined to berequired reading and a valued reference for every composer, musicresearcher, multimedia engineer, and anyone else interested in theinterplay between acoustics and music theory. This is truly alandmark work of scholarship and pedagogy, and Gareth Loy presents itwith quite remarkable rigor and humor."
"From hislong and successful experience as a composer and computer-musicresearcher, Gareth Loy knows what is challenging and what isimportant. That comprehensiveness makes Musimathics both exciting andenlightening. The book is crystal clear, so that even advanced issuesappear simple. Musimathics will be essential for those who want tounderstand the scientific foundations of music, and for anyonewishing to create or process musical sounds with computers."
Musimathics Volume 1 by Gareth Loy is a comprehenssive journey into the intricacies of the relationship between music and mathematics. In this volume Loy provides an in-depth look into such subjects as the physical and geometrical properties of sound, musical scales and interval relationships, acoustics and psychoacoustics, as well as mathematical analysis of composition. The author uses clear and concise language throughout the text to make it understandable to those of us who are not particularly comfortable with mathematics, while maintaing the necessary depth of the subject. This book is highly recommended to composers, audio engineers, and musicians with inquisitive minds and a passion for learning.
followed by Loy's calm and helpful gloss, "In the storm called life, mathematics and music are two sure guides to that essential that we all embody." At the end of volume 2 he alludes to early inhabitants of the South Pacific islands navigating with their mathematics. This is but one topos of the inextinguishability of culture and cultural transmission. It behoves us to work with those forces, through a thorough understanding of the mathematics of music.
The two volumes of Musimathics, then, must be considered as the place to start any exploration of this field. Entertaining, secure, comprehensive, clear, authoritative, timely, up-to-date, well wrought in every way, these are for every music lover's shelves.
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Gareth Loy is an American author, composer, musician and mathematician. Loy is the author[1] of the two volume series about the intersection of music and mathematics titled Musimathics.[2] Loy was an early practitioner of music synthesis at Stanford, and wrote the first software compiler for the Systems Concepts Digital Synthesizer (Samson Box).[3] More recently, Loy has published the freeware music programming language Musimat, designed specifically for subjects covered in Musimathics, available as a free download.[4] Although Musimathics was first published in 2006 and 2007, the series continues to evolve with updates by the author and publishers. The texts are being used in numerous math and music classes at both the graduate and undergraduate level, with more current reviews noting that the originally targeted academic distribution is now reaching a much wider audience. Music synthesis pioneer Max Mathews stated that Loy's books are a "guided tour-de-force of the mathematics of physics and music... Loy has always been a brilliantly clear writer. In Musimathics, he is also an encyclopedic writer. He covers everything needed to understand existing music and musical instruments, or to create new music or new instruments. Loy's book and John R. Pierce's famous The Science of Musical Sound belong on everyone's bookshelf, and the rest of the shelf can be empty."[5] John Chowning states, in regard to Nekyia and the Samson Box, "After completing the (Samson Box) software, Loy composed Nekyia, a beautiful and powerful composition in four channels that fully exploited the capabilities of the Samson Box. As an integral part of the (original Stanford) community, Loy has paid back many times over all that he learned, by conceiving the (Samson) system with maximal generality such that it could be used for research projects in psychoacoustics as well as for hundreds of compositions by a host of composers having diverse compositional strategies."[6]
Loy was born in Los Angeles in 1945. He was an early employee at Apple Computer, and is the brother of the late Tom Loy, a renowned molecular archaeologist,[7] and member of the team that researched Oetzi the Iceman.
In addition to composing, performing and writing journal articles on the technology of mathematics and music, Dr. Loy has been an expert witness in some high visibility cases, performing forensic analysis of technology details. Loy has testified in numerous such cases involving Guitar Hero and other technologies, performing forensic analysis of technology details to clarify patent issues.[9]
Loy has been a long-time member of the Flying Without Instruments[10] band, which has performed internationally, including compositions by Loy. Loy's composition Blood From a Stone (1992) was written for an electronic violin designed by Max Mathews and performed by Negyesy.[11] Gareth also performs in the Tenaya Classical Guitar Duo, and founded the San Francisco performance art group "Hermes," which performed live concerts of abstract electronic music with liquid light projections for 5 years in the early 1970s.
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