Abstract Musical Intervals

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Abstract Musical Intervals
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Author : Ming Tsao
language : en
Publisher: Lulu.com
Release Date : 2007
Abstract Musical Intervals written by Ming Tsao and has been published by Lulu.com this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Music categories.
This book is an introduction to GIS (Generalized Interval Systems) theory that includes the major results of pitch-class theory. It provides mathematicians with applications of group theory to music and music theorists with the essential connections between GIS theory and pitch-class theory. Many of the results in pitch-class theory are not addressed by David Lewin (such as power functions or the Common Tone Theorem for inversions). The book states those results and generalizes them to conform with GIS theory. Finally, it addresses recent criticisms leveled at pitch-class theory and suggests how they can be addressed in GIS theory.
Proceedings Of The Worldwide Music Conference 2021
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Author : Ildar D. Khannanov
language : en
Publisher: Springer Nature
Release Date : 2021-09-07
Proceedings Of The Worldwide Music Conference 2021 written by Ildar D. Khannanov and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-07 with Music categories.
This Volume II of the Proceedings of the Worldwide Music Conference 2021 continues the line of publications of the first volume in a highly interdisciplinary mode. This time, we offer eight chapters that provide the in-depth study of music in four large sub-fields: mathematics, language and theory of narrative, evolution and perception, and, finally, sociology. The first chapter, by Roman Ruditsa, is devoted to the study of structural pitch organization. This is based upon a formal logical interpretation of the idea of pitch. The chapter contains formal definitions of such objects as tones, intervals, and interval systems and a demonstration of the logical relationships that exist between them. The second chapter, in the same mathematical venue, by Celina Richter and Stefan E. Schmidt, revisits the millennial question of the essence of an interval, using highly advanced mathematical language, the categories of monoid and the algebraic theory of measurement. The next block is dedicated to language and narrative; the first chapter is by Vincent Meelberg. Here, the reader will find fascinating developments in the ongoing deliberations on this elusive category. The name of Trevor Rawbone, perhaps, does not need an introduction to those involved with cognitive studies of music. This time, his chapter deals with the idea of the language of musical thought, which shifts the traditional discussion of language into a very new dimension. Carlos Almada begins a new section in the book, the one dedicated to evolution and perception. He begins with Darwin and takes us through the exciting path of development of the science of evolution, which he masterfully connects to his model of derivative analysis of music. The question of psycho-physiological foundation of the ethnic hearing, raised in the chapter by Аlla V. Toropova and Irina N. Simakova, is a difficult one. The idea of ethnic character of music had been a part of traditional musicology and usually was expressed in specific language of humanities. The chapter by Daniil Shutko on the theoretical ideas of the legendary professor of St. Petersburg conservatory, Dr. Tatiana Bershadskaya, was difficult to put into any category. Her concept of music was truly universal and interdisciplinary. At the same time, the concept and Shutko’s description are as closely focused on music theory in a narrow and precise sense as possible. The art and culture of consumption of wine in correlation with the choice of music for listening is a theme for a true connoisseur. It becomes even more intriguing when the authors, Diego Pérez-Fuertes, Emma Juaneda-Ayensa and Cristina Olarte-Pascual, add to the discussion the special circumstance of the pandemic and the way human spirit meets this challenge in the most graceful way.
Generalized Musical Intervals And Transformations
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Author : David Lewin
language : en
Publisher:
Release Date : 2011
Generalized Musical Intervals And Transformations written by David Lewin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Music categories.
Generalized Musical Intervals and Transformations is by far the most significant contribution to the field of systematic music theory in the last half-century, generating the framework for the "transformational theory" movement.
Musica Ficta
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Author : Karol Berger
language : en
Publisher: Cambridge University Press
Release Date : 2004-01-05
Musica Ficta written by Karol Berger and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-01-05 with Music categories.
Clarifies the conventions governing the practice of implied accidentals in vocal polyphony from the fourteenth to sixteenth centuries.
Graph Theoretical Models Of Abstract Musical Transformation
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Author : Jeffrey Johnson
language : en
Publisher: Greenwood
Release Date : 1997-08-21
Graph Theoretical Models Of Abstract Musical Transformation written by Jeffrey Johnson and has been published by Greenwood this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-08-21 with Mathematics categories.
An introduction to a new way of modeling musical surfaces for theorists and for generating precompositional relationships for composers, this unique music theory reference work introduces, classifies, and enumerates graph theoretical models for musical transformations in compositional and analytical applications. It also provides a practical application of musical applications for students of graph theory and could serve as an introduction to the further cross-integration of these two disciplines. Of interest to scholars, advanced music theory students, and composers, this work endeavors to facilitate the expression and understanding of musical ideas by presenting an unexplored way of notating relationships between transformational objects that is not attached to specific compositional or analytical systems. Graph theoretical models of abstract musical transformations supplement and refine the ability to articulate orderings with pitch structures in analytical environments. An extended analysis of the opening section of Form IV: Broken Sequences by Stefan Wolpe is used as a demonstration. The use of these diagrams to generate compositional surfaces differs slightly from their use in analysis: an analytical model relates to a single musical surface, whereas compositional applications can be used to generate any potential surface derived from construction of the graphs.
The Music Of Physics
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Author : George N. Gibson
language : en
Publisher: CRC Press
Release Date : 2024-08-09
The Music Of Physics written by George N. Gibson and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-08-09 with Science categories.
This textbook is written for a very specific purpose and audience: It serves as a breadth requirement for a general education program at the college level for non-science majors. It is also suitable for an introductory course at the high school level. Music is an excellent medium to introduce physics to novice scientists, as it provides an intuitive understanding of the physics of waves. While there are no mathematical derivations in the text, labs are provided to verify every concept and equation. The book is not restricted to purely musical topics. Each topic is carefully chosen to relate to broader principles applicable to other areas of physics or technology. This is not meant to be a highly technical treatise on sound and musical instruments. Rather, it shows deep connections between waves and many areas of modern physics to make the text engaging and relevant to the students.
Abstract On Music
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Author : René Descartes
language : en
Publisher: Minerva Press
Release Date : 2024-05-09
Abstract On Music written by René Descartes and has been published by Minerva Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-05-09 with Philosophy categories.
"Descartes was the first to bring to light the idea of a transcendental science, which is to contain a system of knowledge of the conditions of possibility of all knowledge." - Kant A modern translation of Descartes' famous 1619 work "Abstract of Music" or "Treatise on Music" (Compendium musicæ). This edition contains an Afterword from the translator, as well as a timeline of Descartes' life and summaries of each of his works. "Treatise on Music," completed in 1619 when Descartes was just twenty-three years old, represents his earliest significant work and establishes his lifelong interest in the mathematical foundations of natural phenomena. This pioneering text seeks to explain musical harmony through mathematical principles, arguing that the pleasure we derive from music can be understood through rational analysis of sound waves and their mathematical relationships. Though unpublished during his lifetime, the treatise demonstrates Descartes' early attempt to apply mathematical reasoning to sensory experience, laying groundwork for his later philosophical investigations. The work examines the nature of sound, consonance, and dissonance through a mathematical lens, presenting music theory as a bridge between abstract mathematics and human perception, and marking one of the first systematic attempts to analyze musical aesthetics through scientific principles. Descartes wrote this treatise during his stay in Breda, but it was only printed after his death. It discusses the relationship between music and mathematics, and how music can be understood through mathematical principles. This work influenced later discussions of the mathematical foundations of music. The text explains that music has the ability to arouse different passions by using variations in time, intensity, and the arrangement of sounds. Music can evoke feelings of sadness, joy, or fear, and these emotional effects are attributed to harmony, rhythm, and proportion in the composition of sounds. Here he breaks down the "key properties of sound", such as pitch (high or low) and duration (time), are analyzed to show how they influence the listener's emotional response. It explains the importance of proportion, symmetry, and variety in creating pleasing sounds. Descartes also explores concepts such as consonance, dissonance, and the division of sounds into intervals (octaves, fifths, and thirds), emphasizing the mathematical relationships that form the basis of harmony. Finally, the text touches on how the structure of music, particularly its meter and rhythm, can lead to physical responses such as dance, illustrating the deep connection between music and the human experience of emotion- relating music back to his famous body-soul duality and a nascent Phenomenology. What makes this work particularly intriguing is how it bridges medieval music theory with emerging scientific thought - Descartes sought to explain why certain combinations of tones please the ear while others create dissonance, grounding his analysis in mathematical ratios rather than traditional Pythagorean mysticism. The manuscript itself wasn't published until 1650, but its ideas heavily influenced his later work on mathematics and sensory perception. This early exploration of music theory connects deeply to Descartes' later philosophical framework. His systematic examination of sound and harmony prefigures the methodological doubt he would develop in Meditations, showing an early commitment to finding clear, rational principles underlying human experience. The treatise demonstrates Descartes wrestling with questions about the relationship between mathematical truth and sensory experience - a tension that would become central to his mature philosophy.
Intelligent Music Information Systems Tools And Methodologies
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Author : Shen, Jialie
language : en
Publisher: IGI Global
Release Date : 2007-08-31
Intelligent Music Information Systems Tools And Methodologies written by Shen, Jialie and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-08-31 with Technology & Engineering categories.
Modern technology and the development of user-centric applications have grown to encompass many of our everyday routines and interests. Such advances in music data management and information retrieval techniques have crossed the boundaries of expertise from researchers to developers to professionals in the music industry. Intelligent Music Information Systems: Tools and Methodologies provides comprehensive description and analysis into the use of music information retrieval from the data management perspective, and thus provides libraries in academic, commercial, and other settings with a complete reference for multimedia system applications.
Bulletin Of The Philosophical Society Of Washington
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Author : Philosophical Society of Washington (Washington, D.C.)
language : en
Publisher:
Release Date : 1884
Bulletin Of The Philosophical Society Of Washington written by Philosophical Society of Washington (Washington, D.C.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1884 with Science categories.
Vols. 1-14, 16- include the society's Proceedings, 1871-1905, 1961-
Bulletin
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Author :
language : en
Publisher:
Release Date : 1888
Bulletin written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1888 with categories.