Fundamentals of Music Processing

1. Front Matter

   Pages i-xxxi

   PDF

2. Music Representations

   • Meinard Müller

   Pages 1-38

3. Fourier Analysis of Signals

   • Meinard Müller

   Pages 39-117

4. Music Synchronization

   • Meinard Müller

   Pages 119-170

5. Music Structure Analysis

   • Meinard Müller

   Pages 171-240

6. Chord Recognition

   • Meinard Müller

   Pages 241-308

7. Tempo and Beat Tracking

   • Meinard Müller

   Pages 309-360

8. Content-Based Audio Retrieval

   • Meinard Müller

   Pages 361-420

9. Musically Informed Audio Decomposition

   • Meinard Müller

   Pages 421-488

10. Back Matter

    Pages 489-495

    PDF

The textbook provides both profound technological knowledge and a comprehensive treatment of essential topics in music processing and music information retrieval (MIR). Including numerous examples, figures, and exercises, this book is suited for students, lecturers, and researchers working in audio engineering, signal processing, computer science, digital humanities, and musicology.

The book consists of eight chapters. The first two cover foundations of music representations and the Fourier transform—concepts used throughout the book. Each of the subsequent chapters starts with a general description of a concrete music processing task and then discusses—in a mathematically rigorous way—essential techniques and algorithms applicable to a wide range of analysis, classification, and retrieval problems. By mixing theory and practice, the book’s goal is to offer detailed technological insights and a deep understanding of music processing applications.

Asa substantial extension, the textbook’s second edition introduces the FMP (fundamentals of music processing) notebooks, which provide additional audio-visual material and Python code examples that implement all computational approaches step by step. Using Jupyter notebooks and open-source web applications, the FMP notebooks yield an interactive framework that allows students to experiment with their music examples, explore the effect of parameter settings, and understand the computed results by suitable visualizations and sonifications. The FMP notebooks are available from the author’s institutional web page at the International Audio Laboratories Erlangen.

• Audio Retrieval
• Fourier Analysis
• Music Computing
• Music Retrieval
• Music Structure Analysis
• Pattern Recognition
• Signal Processing
• Sound Computing

“This second edition extends the great first edition of "Fundamentals of Music Processing" to offer easy-to-use Python codes applied to concrete music examples. This book continues to be an invaluable source for education and research in music information retrieval (MIR).” (Masataka Goto, Prime Senior Researcher, National Institute of Advanced Industrial Science and Technology (AIST), Japan)

 

 “The addition of free online Jupyter notebooks for the second edition has made the best even better! Buying and using Meinard Müller's book is really more an investment than a purchase. It helps learners at all levels to deeply understand the theory and practice of Music Informatics research. Here at the Centre for Digital Music, we recommend it to our MIR PhD students and to our Masters students.” (Mark Sandler, Director of the Centre for Digital Music (C4DM), Queen Mary University of London, UK)

“In the years since it was first published, Fundamentals of Music Processing has become the required reading for those wishing to enter (or brush up on their knowledge of) the field of music information retrieval. This is even more true now with the timely addition of the FMP notebooks, a welcome addition that makes Müller's seminal textbook even more accessible and significant.” (Juan Pablo Bello, Professor, Music Technology and Computer Science & Engineering, New York University, USA)

 “This is clearly a must-have textbook for every student in music processing and music information retrieval (MIR). The accompanying Jupyter/Python notebooks allow students to bridge the gap between theory and practice and bring a considerable added value to the original textbook.” (Gaël Richard, Professor and Head of the Image, Data and Signal Department, Télécom Paris, France)

“The book has served as an excellent resource in the workshops I have conducted on the topic of audio and music processing. The FMP notebooks bring in a whole new dimensionenabling students to put the concepts into immediate practice for an enriched learning experience.” (Preeti Rao, Professor, Dept. of Electrical Engineering, I.I.T. Bombay, India)

“The Fundamentals of Music Processing (FMP) textbook provides a distinctly comprehensive introduction to computational analysis of musical audio.  The theoretical foundations are reinforced by accompanying code examples and interactive Jupyter notebooks, which support students in developing, mastering, and exploring this fascinating and exciting area of research.” (Brain McFee, Assistant Professor of Music Technology and Data Science, New York University)

• International Audio Laboratories Erlangen, Erlangen, Germany

  Meinard Müller

Meinard Müller is professor for Semantic Audio Processing at the International Audio Laboratories Erlangen, Germany, a joint institution of the Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU) and the Fraunhofer Institute for Integrated Circuits IIS. His research interests include music processing, music information retrieval, audio signal processing, content-based multimedia, and motion retrieval.

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