Designed to meet the needs of the two-year theory curriculum for music majors, this straightforward market-leading text emphasizes practicality and ease of use for both the student and the instructor. Its outstanding ancillaries, which include a collection of audio examples on CD (for both the text and workbook), Finale Workbook Software, and an extensive Instructor's Manual, round out the comprehensive teaching package.

This book introduces a computationally feasible, cognitively inspired formal model of concept invention, drawing on Fauconnier and Turner's theory of conceptual blending, a fundamental cognitive operation. The chapters present the mathematical and computational foundations of concept invention, discuss cognitive and social aspects, and further describe concrete implementations and applications in the fields of musical and mathematical creativity. Featuring contributions from leading researchers in formal systems, cognitive science, artificial intelligence, computational creativity, mathematical reasoning and cognitive musicology, the book will appeal to readers interested in how conceptual blending can be precisely characterized and implemented for the development of creative computational systems.

Exploring the application of Bayesian probabilistic modeling techniques to musical issues, including the perception of key and meter.

Tonal Harmony with an Introduction to 20th-Century Music is intended for a two-year course in music theory/harmony. It offers a clear and thorough introduction to the resources and practice of Western music from the 17th century to the present day. Its concise, one-volume format and flexible approach make the book usable in a broad range of theory curricula. The text provides students with a comprehensive but accessible and highly practical set of tools for the understanding of music. Actual musical practice is emphasized more than rules or prohibitions. Principles are explained and illustrated, and exceptions are noted. In its presentation of harmonic procedures, the text introduces students to the most common vocal and instrumental textures encountered in tonal music. Traditional four-part chorale settings are used to introduce many concepts, but three-part instrumental and vocal textures are also presented in illustrations and drill work, along with a variety of keyboard styles. To encourage the correlation of writing and performing skills, we have included musical examples in score and reduced-score formats as well as charts on instrumental ranges and transpositions. Some of the assignments ask the student to write for small ensembles suitable for performance in class. Instructors may modify these assignments to make them most appropriate for their particular situations. - Preface.