Analyzing Musical Sound: A Theory of Interval Slopes

Analyzing Musical Sound: A Theory of Interval Slopes presents a new framework for understanding musical intervals and their relationship to time. The book introduces the concept of interval slopes as a method for analyzing both traditional Western music and contemporary compositions. Author David Neumeyer combines music theory with mathematical principles to establish analytical tools for examining musical structure and motion. His approach bridges the gap between abstract theoretical concepts and the concrete experience of musical sound. This volume includes detailed analyses of works from multiple periods and traditions, with visual representations and technical explanations of interval slope theory. The examples range from Bach chorales to twentieth-century compositions. The theory of interval slopes offers fresh perspectives on musical analysis and composition, with implications for both music theory pedagogy and the broader understanding of how listeners process musical information.

There are not enough internet reviews to create a summary of this book. Instead, here is a summary of reviews of David Neumeyer's overall work: David Neumeyer's academic works receive attention primarily from music theory students, film studies scholars, and music educators based on available reviews. Readers praise his detailed analysis methods in "Analyzing Classical Form," with multiple reviews noting the clear explanations of complex theoretical concepts. One graduate student on Academia.edu noted the "practical application examples that made abstract concepts accessible." Music educators cite the textbook's organized approach to teaching form analysis. Academic readers point out that his works can be technically dense and assume significant prior knowledge. Several Goodreads reviews mention that "Meaning and Interpretation of Music in Cinema" requires a strong foundation in music theory to fully grasp. Limited public reviews exist on consumer platforms: - "Analyzing Classical Form" - 4.5/5 on Amazon (8 reviews) - "Meaning and Interpretation of Music in Cinema" - Not enough ratings on Goodreads for average - Various academic journal reviews in Music Theory Spectrum and Journal of Film Music provide detailed analysis but few overall ratings

A Geometry of Music: Harmony and Counterpoint in the Extended Common Practice by Dmitri Tymoczko. Mathematical principles meet music theory through geometric models and mappings of tonal relationships.

The Topos of Music: Geometric Logic of Concepts, Theory, and Performance by Guerino Mazzola. Mathematical category theory serves as a foundation for understanding musical structures and transformations.

Studies in Music with Text by David Lewin. Set theory and transformational networks illuminate the relationships between musical elements and textual meaning.

Audacious Euphony: Chromatic Harmony and the Triad's Second Nature by Richard Cohn. Neo-Riemannian theory explains chromatic relationships through mathematical models and voice-leading spaces.

The Geometric Theory of Musical Scales and Temperament by James Jeans. Physical and mathematical principles demonstrate the construction of musical scales and tuning systems.

🎵 This book introduces a new theoretical framework for analyzing melody and harmony through "interval slopes" - measuring how musical intervals change over time 📚 David Neumeyer is a Professor Emeritus of Music Theory at the University of Texas at Austin and has authored several influential works on film music analysis 🎼 The theory presented builds on ideas from Heinrich Schenker's analytical methods but takes them in new mathematical and visual directions 📊 The book includes detailed graphical representations showing how melodies can be mapped as geometric shapes and trajectories 🎹 Interval slopes analysis can be applied to various musical styles - from Classical pieces to film scores - helping reveal hidden patterns in how composers construct melodies