Music and Probability PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Music and Probability PDF full book. Access full book title Music and Probability by David Temperley. Download full books in PDF and EPUB format.
Author: David Temperley
Publisher: MIT Press
ISBN: 0262201666
Category : Music
Languages : en
Pages : 257
Get Book
Book Description
Exploring the application of Bayesian probabilistic modeling techniques to musical issues, including the perception of key and meter.
Author: David Temperley
Publisher: MIT Press
ISBN: 0262201666
Category : Music
Languages : en
Pages : 257
Get Book
Book Description
Exploring the application of Bayesian probabilistic modeling techniques to musical issues, including the perception of key and meter.
Author: David Temperley
Publisher: MIT Press
ISBN: 9780262701051
Category : Music
Languages : en
Pages : 432
Get Book
Book Description
In this book, David Temperley addresses a fundamental question about music cognition: how do we extract basic kinds of musical information, such as meter, phrase structure, counterpoint, pitch spelling, harmony, and key from music as we hear it? Taking a computational approach, Temperley develops models for generating these aspects of musical structure. The models he proposes are based on preference rules, which are criteria for evaluating a possible structural analysis of a piece of music. A preference rule system evaluates many possible interpretations and chooses the one that best satisfies the rules. After an introductory chapter, Temperley presents preference rule systems for generating six basic kinds of musical structure: meter, phrase structure, contrapuntal structure, harmony, and key, as well as pitch spelling (the labeling of pitch events with spellings such as A flat or G sharp). He suggests that preference rule systems not only show how musical structures are inferred, but also shed light on other aspects of music. He substantiates this claim with discussions of musical ambiguity, retrospective revision, expectation, and music outside the Western canon (rock and traditional African music). He proposes a framework for the description of musical styles based on preference rule systems and explores the relevance of preference rule systems to higher-level aspects of music, such as musical schemata, narrative and drama, and musical tension.
Author: Carlos Agon
Publisher: Springer
ISBN: 3642215904
Category : Computers
Languages : en
Pages : 375
Get Book
Book Description
This book constitutes the refereed proceedings of the Third International Conference on Mathematics and Computation in Music, MCM 2011, held in Paris, France, in June 2011. The 24 revised full papers presented and the 12 short papers were carefully reviewed and selected from 62 submissions. The MCM conference is the flagship conference of the Society for Mathematics and Computation in Music. This year’s conference aimed to provide a multi-disciplinary platform dedicated to the communication and exchange of ideas amongst researchers involved in mathematics, computer science, music theory, composition, musicology, or other related disciplines. Areas covered were formalization and geometrical representation of musical structures and processes; mathematical models for music improvisation and gestures theory; set-theoretical and transformational approaches; computational analysis and cognitive musicology as well as more general discussions on history, philosophy and epistemology of music and mathematics.
Author: T. T. Soong
Publisher: John Wiley & Sons
ISBN: 0470868155
Category : Mathematics
Languages : en
Pages : 406
Get Book
Book Description
This textbook differs from others in the field in that it has been prepared very much with students and their needs in mind, having been classroom tested over many years. It is a true “learner’s book” made for students who require a deeper understanding of probability and statistics. It presents the fundamentals of the subject along with concepts of probabilistic modelling, and the process of model selection, verification and analysis. Furthermore, the inclusion of more than 100 examples and 200 exercises (carefully selected from a wide range of topics), along with a solutions manual for instructors, means that this text is of real value to students and lecturers across a range of engineering disciplines. Key features: Presents the fundamentals in probability and statistics along with relevant applications. Explains the concept of probabilistic modelling and the process of model selection, verification and analysis. Definitions and theorems are carefully stated and topics rigorously treated. Includes a chapter on regression analysis. Covers design of experiments. Demonstrates practical problem solving throughout the book with numerous examples and exercises purposely selected from a variety of engineering fields. Includes an accompanying online Solutions Manual for instructors containing complete step-by-step solutions to all problems.
Author: Paul E. Pfeiffer
Publisher: Courier Corporation
ISBN: 0486165663
Category : Mathematics
Languages : en
Pages : 416
Get Book
Book Description
Using the Kolmogorov model, this intermediate-level text discusses random variables, probability distributions, mathematical expectation, random processes, more. For advanced undergraduates students of science, engineering, or math. Includes problems with answers and six appendixes. 1965 edition.
Author: Ruma Falk
Publisher: A K Peters/CRC Press
ISBN:
Category : Mathematics
Languages : en
Pages : 264
Get Book
Book Description
Author: Jay Schulkin
Publisher: Princeton University Press
ISBN: 1400849039
Category : Science
Languages : en
Pages : 273
Get Book
Book Description
What's so special about music? We experience it internally, yet at the same time it is highly social. Music engages our cognitive/affective and sensory systems. We use music to communicate with one another--and even with other species--the things that we cannot express through language. Music is both ancient and ever evolving. Without music, our world is missing something essential. In Reflections on the Musical Mind, Jay Schulkin offers a social and behavioral neuroscientific explanation of why music matters. His aim is not to provide a grand, unifying theory. Instead, the book guides the reader through the relevant scientific evidence that links neuroscience, music, and meaning. Schulkin considers how music evolved in humans and birds, how music is experienced in relation to aesthetics and mathematics, the role of memory in musical expression, the role of music in child and social development, and the embodied experience of music through dance. He concludes with reflections on music and well-being. Reflections on the Musical Mind is a unique and valuable tour through the current research on the neuroscience of music.
Author: Dimitri Bertsekas
Publisher: Athena Scientific
ISBN: 188652923X
Category : Mathematics
Languages : en
Pages : 544
Get Book
Book Description
An intuitive, yet precise introduction to probability theory, stochastic processes, statistical inference, and probabilistic models used in science, engineering, economics, and related fields. This is the currently used textbook for an introductory probability course at the Massachusetts Institute of Technology, attended by a large number of undergraduate and graduate students, and for a leading online class on the subject. The book covers the fundamentals of probability theory (probabilistic models, discrete and continuous random variables, multiple random variables, and limit theorems), which are typically part of a first course on the subject. It also contains a number of more advanced topics, including transforms, sums of random variables, a fairly detailed introduction to Bernoulli, Poisson, and Markov processes, Bayesian inference, and an introduction to classical statistics. The book strikes a balance between simplicity in exposition and sophistication in analytical reasoning. Some of the more mathematically rigorous analysis is explained intuitively in the main text, and then developed in detail (at the level of advanced calculus) in the numerous solved theoretical problems.
Author: Yakov G. Sinai
Publisher: Springer Science & Business Media
ISBN: 366202845X
Category : Mathematics
Languages : en
Pages : 148
Get Book
Book Description
Sinai's book leads the student through the standard material for ProbabilityTheory, with stops along the way for interesting topics such as statistical mechanics, not usually included in a book for beginners. The first part of the book covers discrete random variables, using the same approach, basedon Kolmogorov's axioms for probability, used later for the general case. The text is divided into sixteen lectures, each covering a major topic. The introductory notions and classical results are included, of course: random variables, the central limit theorem, the law of large numbers, conditional probability, random walks, etc. Sinai's style is accessible and clear, with interesting examples to accompany new ideas. Besides statistical mechanics, other interesting, less common topics found in the book are: percolation, the concept of stability in the central limit theorem and the study of probability of large deviations. Little more than a standard undergraduate course in analysis is assumed of the reader. Notions from measure theory and Lebesgue integration are introduced in the second half of the text. The book is suitable for second or third year students in mathematics, physics or other natural sciences. It could also be usedby more advanced readers who want to learn the mathematics of probability theory and some of its applications in statistical physics.
Author: David F. Anderson
Publisher: Cambridge University Press
ISBN: 110824498X
Category : Mathematics
Languages : en
Pages : 447
Get Book
Book Description
This classroom-tested textbook is an introduction to probability theory, with the right balance between mathematical precision, probabilistic intuition, and concrete applications. Introduction to Probability covers the material precisely, while avoiding excessive technical details. After introducing the basic vocabulary of randomness, including events, probabilities, and random variables, the text offers the reader a first glimpse of the major theorems of the subject: the law of large numbers and the central limit theorem. The important probability distributions are introduced organically as they arise from applications. The discrete and continuous sides of probability are treated together to emphasize their similarities. Intended for students with a calculus background, the text teaches not only the nuts and bolts of probability theory and how to solve specific problems, but also why the methods of solution work.
