Music is an art form which is realized in time. This dissertation presents computational methods for examining the temporality of music at multiple time-scales so that both short-term surface features and deeper long-term structures can be studied and related to each other. The methods are applied in particular to musical key analysis (Chapters 2-4) and also adapted for use in performance analysis (Chapters 5-6). The essential methodology is to examine all sequential time-scales within a piece using some analytic process and then arrange a summary of the analytic results into a maximally overlapped arrangement. Chapter 2 defines a two-dimensional plotting domain for displaying musical features at all possible time-scales which forms a basis for further analysis methods. The resulting structures in the plots can be examined subjectively as a navigational aid in the music as illustrated in Chapters 3 and 5. They can also be used to extract musically relevant information as discussed in Chapters 4 and 6.

This book provides an in-depth introduction and overview of current research in computational music analysis. Its seventeen chapters, written by leading researchers, collectively represent the diversity as well as the technical and philosophical sophistication of the work being done today in this intensely interdisciplinary field. A broad range of approaches are presented, employing techniques originating in disciplines such as linguistics, information theory, information retrieval, pattern recognition, machine learning, topology, algebra and signal processing. Many of the methods described draw on well-established theories in music theory and analysis, such as Forte's pitch-class set theory, Schenkerian analysis, the methods of semiotic analysis developed by Ruwet and Nattiez, and Lerdahl and Jackendoff's Generative Theory of Tonal Music. The book is divided into six parts, covering methodological issues, harmonic and pitch-class set analysis, form and voice-separation, grammars and hierarchical reduction, motivic analysis and pattern discovery and, finally, classification and the discovery of distinctive patterns. As a detailed and up-to-date picture of current research in computational music analysis, the book provides an invaluable resource for researchers, teachers and students in music theory and analysis, computer science, music information retrieval and related disciplines. It also provides a state-of-the-art reference for practitioners in the music technology industry.

State-of-the-art coverage of modern computational methods for the analysis and design of beams Analysis and Design of Elastic Beams presents computer models and applications related to thin-walled beams such as those used in mechanical and aerospace designs, where thin, lightweight structures with high strength are needed. This book will enable readers to compute the cross-sectional properties of individual beams with arbitrary cross-sectional shapes, to apply a general-purpose computer analysis of a complete structure to determine the forces and moments in the individual members, and to use a unified approach for calculating the normal and shear stresses, as well as deflections, for those members' cross sections. In addition, this book augments a solid foundation in the basic structural design theory of beams by: * Providing coverage of thin-wall structure analysis and optimization techniques * Applying computer numerical methods to classical design methods * Developing computational solutions for cross-sectional properties and stresses using finite element analyses Including access to an associated Web site with software for the analysis and design of any cross-sectional shape, Analysis and Design of Elastic Beams: Computational Methods is an essential reference for mechanical, aerospace, and civil engineers and designers working in the automotive, ship, and aerospace industries in product and process design, machine design, structural design, and design optimization, as well as students and researchers in these areas.

This book provides a comprehensive overview of music data analysis, from introductory material to advanced concepts. It covers various applications including transcription and segmentation as well as chord and harmony, instrument and tempo recognition. It also discusses the implementation aspects of music data analysis such as architecture, user interface and hardware. It is ideal for use in university classes with an interest in music data analysis. It also could be used in computer science and statistics as well as musicology.

In recent decades, new technologies have made remarkable progress in helping to understand biological systems. Rapid advances in genomic profiling techniques such as microarrays or high-performance sequencing have brought new opportunities and challenges in the fields of computational biology and bioinformatics. Such genetic sequencing techniques allow large amounts of data to be produced, whose analysis and cross-integration could provide a complete view of organisms. As a result, it is necessary to develop new techniques and algorithms that carry out an analysis of these data with reliability and efficiency. This Special Issue collected the latest advances in the field of computational methods for the analysis of gene expression data, and, in particular, the modeling of biological processes. Here we present eleven works selected to be published in this Special Issue due to their interest, quality, and originality.

The SAGE Encyclopedia of Music and Culture presents key concepts in the study of music in its cultural context and provides an introduction to the discipline of ethnomusicology, its methods, concerns, and its contributions to knowledge and understanding of the world's musical cultures, styles, and practices. The diverse voices of contributors to this encyclopedia confirm ethnomusicology's fundamental ethos of inclusion and respect for diversity. Combined, the multiplicity of topics and approaches are presented in an easy-to-search A-Z format and offer a fresh perspective on the field and the subject of music in culture. Key features include: Approximately 730 signed articles, authored by prominent scholars, are arranged A-to-Z and published in a choice of print or electronic editions Pedagogical elements include Further Readings and Cross References to conclude each article and a Reader’s Guide in the front matter organizing entries by broad topical or thematic areas Back matter includes an annotated Resource Guide to further research (journals, books, and associations), an appendix listing notable archives, libraries, and museums, and a detailed Index The Index, Reader’s Guide themes, and Cross References combine for thorough search-and-browse capabilities in the electronic edition

This proceedings consists of 20 papers which have been selected and invited from the submissions to the 4th International Conference on Computer Science, Applied Mathematics and Applications (ICCSAMA 2016) held on 2-3 May, 2016 in Laxenburg, Austria. The conference is organized into 5 sessions: Advanced Optimization Methods and Their Applications, Models for ICT applications, Topics on discrete mathematics, Data Analytic Methods and Applications and Feature Extractio, respectively. All chapters in the book discuss theoretical and practical issues connected with computational methods and optimization methods for knowledge engineering. The editors hope that this volume can be useful for graduate and Ph.D. students and researchers in Applied Sciences, Computer Science and Applied Mathematics.

In the context of music therapy, microanalysis is the detailed analysis of that short period of time during a music therapy session during which some kind of significant change takes place. These moments are crucial to the therapeutic process, and there is increasing interest amongst music therapists in understanding how they come about and whether there are ways of initiating them. The contributors to this groundbreaking book look at methods of micro process analyses used in a variety of music therapy contexts, both clinical and research-based. They outline their methods, which include using video and audio materials, interviewing, and monitoring the client's heart rate, and also give examples of the practical application of microanalysis from their clinical experience, including work with clients who have psychiatric illness, autism and other conditions. Microanalyses in Music Therapy provides a wealth of important theoretical and practical information for music therapy clinicians, educators and students.

The way rhythm is taught in Western classrooms and music lessons is rooted in a centuries-old European approach that favors metric levels within a grand symmetrical grid. Swinglines encourages readers to experience rhythms, even gridded ones, as freewheeling affairs irrespective of the metric hierarchy. It shows that rhythms traditionally framed as "deviations" and "non-isochronous" have their own identities. They are coherent products of precise musical thought and action. Rather than situating them in the neither-here-nor-there, author Fernando Benadon takes a more inclusive view, one where isochrony and metric grids are shown as particular cases within the universe of musical time.