Building on the foundation of Lerdahl and Jackendoff's influential A Generative Theory of Tonal Music, this volume presents a multidimensional model of diatonic and chromatic spaces that quantifies listeners' intuitions of the relative distances of pitches, chords, and keys from a given tonic. The model is employed to assign prolongational structure, represent paths through the space, and compute patterns of tension and attraction as musical events unfold, thereby providing a partial basis for understanding musical narration, expectation, and expression. Conceived as both a music-theoretic treatise and a contribution to the cognitive science of music, this book will be of interest to music theorists, musicologists, composers, computer musicians, and cognitive psychologists.
Tonal Pitch Space
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Book Description
Editorial Reviews
Review
"Tonal Pitch Space is one of the most important books to come along in music theory and music cognition in a while. The degree of detail that Lerdahl builds into his model is extraordinary, and the consistency with which he references not only the research literature of cognitive psychology but also that of the full breadth of the history of music theory will ensure its importance to both groups of scholars for some time to come."--Computer Music Journal
"[Tonal Pitch Space] is an awe-inspiring achievement. It is bursting at the seams with interesting ideas and perceptive analytic insights. It breaks new ground in establishing rigorous, algorithmic procedures for sophisticated music theories and in forging strong connections between music theory and music psychology. It engages other work in the field in the most exemplary way (one can only marvel at the wealth of references, not only to music theory past and present but also to psychology and other disciplines)--building on the ideas of others but always offering fresh insights and perspectives."--Musicae Scientiae
About the Author
Fred Lerdahl, Fritz Reiner Professor of Music, Columbia University.
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If only I could understand!,
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This review is from: Tonal Pitch Space (Hardcover)
As a 3rd year undergraduate studying composition, I cracked open this book, only to find jibberish. As soon as you begin it jumps into a language hierarchical graphic analysis. Maybe I didn't give the book a chance, but I think this book has a very steep learning curve, and assumes lots of background in analysis. Why can't they teach advanced analysis in undergraduate programs?
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Inside This Book
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First Sentence:
This volume builds an original edifice of music theory on the foundations of Ray Jackendoff's and my A Generative Theory of Tonal Music (GTTM; 1983). Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
prolongational analysis, prolongational level, normative prolongational structure, chordal space, diatonic level, prolongational analyses, weak prolongation, reductional level, tonic orientation, prolongational theory, chromatic tonal music, diatonic space, most important direct elaboration, prolongational derivation, prolongational tree, reductional analysis, maximal evenness, prolongational region, strong prolongation, chordal core, prolongational connection, chordal level, harmonic attractions, hexatonic collection, melodic attractions Key Phrases - Capitalized Phrases (CAPs): (learn more)
Empirical Issues, Tristan Prelude, Beethoven's Waldstein Sonata, Representative Analysis, Beethoven's Sonata, Dep Ret, Mozart's Sonata, The Pitch-Class Level, Good Friday, Mahler's Lieder New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
This volume builds an original edifice of music theory on the foundations of Ray Jackendoff's and my A Generative Theory of Tonal Music (GTTM; 1983). Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
prolongational analysis, prolongational level, normative prolongational structure, chordal space, diatonic level, prolongational analyses, weak prolongation, reductional level, tonic orientation, prolongational theory, chromatic tonal music, diatonic space, most important direct elaboration, prolongational derivation, prolongational tree, reductional analysis, maximal evenness, prolongational region, strong prolongation, chordal core, prolongational connection, chordal level, harmonic attractions, hexatonic collection, melodic attractions Key Phrases - Capitalized Phrases (CAPs): (learn more)
Empirical Issues, Tristan Prelude, Beethoven's Waldstein Sonata, Representative Analysis, Beethoven's Sonata, Dep Ret, Mozart's Sonata, The Pitch-Class Level, Good Friday, Mahler's Lieder New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 57
books:
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19
books
cite this book:
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- Tristan and Isolde: English National Opera Guide 6 (English National Opera Guides) by Richard Wagner on 4 pages
- Musical Transformation and Musical Intuition by Rafael Atlas in Index (1), Index (2), and Index (3)
- A Generative Theory of Tonal Music by Fred Lerdahl in Front Matter, Table of Contents, and Index
- The Psychology of Music, Second Edition (Academic Press Series in Cognition and Perception) by Diana Deutsch in Index (1), and Index (2)
- Perspectives on Schoenberg and Stravinsky by Benjamin Boreto in Index (1), and Index (2)
See all 57 books this book cites
- Empirical Musicology: Aims, Methods, Prospects by Eric Clarke on page 7, page 14, and page 155
- Repetition in Music: Theoretical and Metatheoretical Perspectives (Royal Musical Association Monographs) (Royal Musical Association Monographs) by Adam Ockelford on page 61, and Back Matter
- Heinrich Schenker: A Research and Information Guide (Routledge Music Bibliographies) by Benjamin Ayotte on page 97, and page 126
- Chromatic Transformations in Nineteenth-Century Music (Cambridge Studies in Music Theory and Analysis) by David Kopp on page 1, and Back Matter
- Chromatic Transformations in Nineteenth-Century Music (Cambridge Studies in Music Theory and Analysis) by David Kopp on page 1, and Back Matter
See all 19 books citing this book
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