The author is an associate professor in the Department of Music of Bar-Ilan University, where he has been a faculty member since 1983, and served as Chairman from 1998 to 2001. His PhD dissertation (CUNY Graduate Center, 1986) is entitled "Diatonicism, Chromaticism, and Enharmonicism: A Study in Cognition and Perception." A visiting professor at the University of Chicago and the University at Buffalo, the author published numerous articles on various aspects of tonal music in leading journals such as Music Theory Spectrum, Journal of Music Theory, Music Perception, and Israel Studies in Musicology. The author is a founding member of ESCOM, the European Society for the Cognitive Sciences of Music.

• Chap. 1  Prototonal Theory: Tapping into Ninth-Century Insights.- Part I  Prototonality.- Chap. 2  Preliminaries.- Chap. 3  Communicating Pitches and Transmitting Notes.- Chap. 4  The Conventional Nomenclatures for Notes and Intervals.- Chap. 5  Communicating the Primary Intervals.- Chap. 6  Receiving Notes.- Chap. 7  Harmonic Systems.- Chap. 8  Prototonality.- Part II  The Languages of Western Tonality.- Chap. 9  Tonal Preliminaries.- Chap. 10  Modal Communication.- Chap. 11  Topics in Dyadic and Triadic Theory.- Chap. 12  Modes, Semikeys, and Keys: A Reality Check.- Chap. 13  A Neo-Riepelian Key-Distance Theory.- Chap. 14  Tonal Communication.- Chap. 15  The Tonal Game.- App. A  Mathematical Preliminaries.- App. B  Z Modules and Their Homomorphisms.- Index

"The book addresses three distinct fields of study: music theory, music history and music cognition. ... I would recommend it for graduates and Ph.D.'s interested in studying musicology, music theory, musical psychology, and the application of mathematics in music." (Razvan Raducanu, Mathematical Reviews, December, 2015)

The author is an associate professor in the Department of Music of Bar-Ilan University, where he has been a faculty member since 1983, and served as Chairman from 1998 to 2001. His PhD dissertation (CUNY Graduate Center, 1986) is entitled "Diatonicism, Chromaticism, and Enharmonicism: A Study in Cognition and Perception." A visiting professor at the University of Chicago and the University at Buffalo, the author published numerous articles on various aspects of tonal music in leading journals such as Music Theory Spectrum, Journal of Music Theory, Music Perception, and Israel Studies in Musicology. The author is a founding member of ESCOM, the European Society for the Cognitive Sciences of Music.

• Chap. 1  Prototonal Theory: Tapping into Ninth-Century Insights.- Part I  Prototonality.- Chap. 2  Preliminaries.- Chap. 3  Communicating Pitches and Transmitting Notes.- Chap. 4  The Conventional Nomenclatures for Notes and Intervals.- Chap. 5  Communicating the Primary Intervals.- Chap. 6  Receiving Notes.- Chap. 7  Harmonic Systems.- Chap. 8  Prototonality.- Part II  The Languages of Western Tonality.- Chap. 9  Tonal Preliminaries.- Chap. 10  Modal Communication.- Chap. 11  Topics in Dyadic and Triadic Theory.- Chap. 12  Modes, Semikeys, and Keys: A Reality Check.- Chap. 13  A Neo-Riepelian Key-Distance Theory.- Chap. 14  Tonal Communication.- Chap. 15  The Tonal Game.- App. A  Mathematical Preliminaries.- App. B  Z Modules and Their Homomorphisms.- Index

"The book addresses three distinct fields of study: music theory, music history and music cognition. ... I would recommend it for graduates and Ph.D.'s interested in studying musicology, music theory, musical psychology, and the application of mathematics in music." (Razvan Raducanu, Mathematical Reviews, December, 2015)

The author is an associate professor in the Department of Music of Bar-Ilan University, where he has been a faculty member since 1983, and served as Chairman from 1998 to 2001. His PhD dissertation (CUNY Graduate Center, 1986) is entitled "Diatonicism, Chromaticism, and Enharmonicism: A Study in Cognition and Perception." A visiting professor at the University of Chicago and the University at Buffalo, the author published numerous articles on various aspects of tonal music in leading journals such as Music Theory Spectrum, Journal of Music Theory, Music Perception, and Israel Studies in Musicology. The author is a founding member of ESCOM, the European Society for the Cognitive Sciences of Music.

• Chap. 1  Prototonal Theory: Tapping into Ninth-Century Insights.- Part I  Prototonality.- Chap. 2  Preliminaries.- Chap. 3  Communicating Pitches and Transmitting Notes.- Chap. 4  The Conventional Nomenclatures for Notes and Intervals.- Chap. 5  Communicating the Primary Intervals.- Chap. 6  Receiving Notes.- Chap. 7  Harmonic Systems.- Chap. 8  Prototonality.- Part II  The Languages of Western Tonality.- Chap. 9  Tonal Preliminaries.- Chap. 10  Modal Communication.- Chap. 11  Topics in Dyadic and Triadic Theory.- Chap. 12  Modes, Semikeys, and Keys: A Reality Check.- Chap. 13  A Neo-Riepelian Key-Distance Theory.- Chap. 14  Tonal Communication.- Chap. 15  The Tonal Game.- App. A  Mathematical Preliminaries.- App. B  Z Modules and Their Homomorphisms.- Index

"The book addresses three distinct fields of study: music theory, music history and music cognition. ... I would recommend it for graduates and Ph.D.'s interested in studying musicology, music theory, musical psychology, and the application of mathematics in music." (Razvan Raducanu, Mathematical Reviews, December, 2015)