This book explores the interactions between science and music in the late nineteenth- and early twentieth century. It examines and evaluates the work of Hermann von Helmholtz, Max Planck, Shohé Tanaka, and Adriaan Fokker, leading physicists and physiologists who were committed to understanding crucial aesthetic components of the art of music, including the standardization of pitch and the implementation of various types of intonations. With a mixture of physics, physiology, and aesthetics, author Erwin Hiebert addresses throughout the book how just intonation came to intersect with the history of keyboard instruments and exert an influence on the development of Western music. He begins with the work of Hermann von Helmholtz, a leading nineteenth-century physicist and physiologist who not only made important contributions in vision, optics, electrodynamics and thermodynamics, but also helped advanced the field of music theory as well. The author traces the Helmholtzian trends of thought that become inherently more complex by reaching beyond the sciences to perform a bridge with aesthetics and the diverse ways in which the human mind interprets or is taught, in different cultures, to interpret and understand music. Next, the author explores the works of other key physicists and physiologists who were influenced by Helmholtz and added to his legacy. He examines Japanese music theory student Shohé Tanaka, who sought to design a harmonium that was not based on equal temperament but rather on just intonation. Dutch physicist Adriaan Daniel Fokker, who arranged for organs to be built based on 31-tones per octave, orchestrated concerts for these new instruments and even attempted to compose microtonal music, or music whose tonality is based on intervals smaller than the typical twelve semitones of Western music.

Historians of philosophy, science, and mathematics explore the influence of Kant's philosophy on the evolution of modern scientific thought.

The transformation of acoustics into electro-acoustics, a field at the intersection of science and technology, guided by electrical engineering, industry, and the military. At the end of the nineteenth century, acoustics was a science of musical sounds; the musically trained ear was the ultimate reference. Just a few decades into the twentieth century, acoustics had undergone a transformation from a scientific field based on the understanding of classical music to one guided by electrical engineering, with industrial and military applications. In this book, Roland Wittje traces this transition, from the late nineteenth-century work of Hermann Helmholtz to the militarized research of World War I and media technology in the 1930s. Wittje shows that physics in the early twentieth century was not only about relativity and atomic structure but encompassed a range of experimental, applied, and industrial research fields. The emergence of technical acoustics and electroacoustics illustrates a scientific field at the intersection of science and technology. Wittje starts with Helmholtz's and Rayleigh's work and its intersection with telegraphy and early wireless, and continues with the industrialization of acoustics during World War I, when sound measurement was automated and electrical engineering and radio took over the concept of noise. Researchers no longer appealed to the musically trained ear to understand sound but to the thinking and practices of electrical engineering. Finally, Wittje covers the demilitarization of acoustics during the Weimar Republic and its remilitarization at the beginning of the Third Reich. He shows how technical acoustics fit well with the Nazi dismissal of pure science, representing everything that “German Physics” under National Socialism should be: experimental, applied, and relevant to the military.

The inner word in Gadamer’s hermeneutics refers to the meaning that exceeds anything explicitly said. This explanation has been subsumed within metaphysical and theological parameters of interpretation with little regard for the implication of Gadamer’s turn to the living language for understanding the inner word. Through examining his phenomenology of the inner word, The Inner Voice in Gadamer’s Hermeneutics reveals its musical (rhythmic and tonal) dimensions and how they function to harmonize disparate orientations in the middle voice, above all for Gadamer, those that underlie modes of cognition in both the humanities and the sciences—a visual and auditory ethos. However, understood as constituting the music of language discernible in the middle voice, the inner word is also suppressed or forgotten by the technological extension of sight—that is, print—and thus requires a turn of the inner ear or auditory disposition. Andrew Fuyarchuk assesses theories of language in evolutionary and cognitive science in light of Gadamer’s insights into the nature of thought, and he employs them to account for a dimension of language that is inscribed in the lingual minds of our species. When recalled by the inner ear, this dimension enables us to think such opposites together as we find in the humanities and sciences together. This thinking together is expressed in a double account of an object of inquiry, such as the one Fuyarchuk puts forward about the inner word in Gadamer’s philosophical hermeneutics.

This unique reference book offers a holistic description of the multifaceted field of systematic musicology, which is the study of music, its production and perception, and its cultural, historical and philosophical background. The seven sections reflect the main topics in this interdisciplinary subject. The first two parts discuss musical acoustics and signal processing, comprehensively describing the mathematical and physical fundamentals of musical sound generation and propagation. The complex interplay of physiology and psychology involved in sound and music perception is covered in the following sections, with a particular focus on psychoacoustics and the recently evolved research on embodied music cognition. In addition, a huge variety of technical applications for professional training, music composition and consumer electronics are presented. A section on music ethnology completes this comprehensive handbook. Music theory and philosophy of music are imbedded throughout. Carefully edited and written by internationally respected experts, it is an invaluable reference resource for professionals and graduate students alike.

Through archival work and storytelling, Musical Migration and Imperial New York revises many inherited narratives about experimental music and art in postwar New York. From the urban street level of music clubs and arts institutions to the world-making routes of global migration and exchange, this book redraws the map of experimental art to reveal the imperial dynamics and citizenship struggles that continue to shape music in the United States. Beginning with the material conditions of power that structured the cityscape of New York in the early Cold War years, Brigid Cohen looks at a wide range of artistic practices (concert music, electronic music, jazz, performance art) and actors (Edgard Varèse, Charles Mingus, Yoko Ono, and Fluxus founder George Maciunas) as they experimented with new modes of creativity. Cohen links them with other migrant creators vital to the city’s postwar culture boom, creators whose stories have seldom been told (Halim El-Dabh, Michiko Toyama, Vladimir Ussachevsky). She also gives sustained and serious treatment to the work of Yoko Ono, something long overdue in music scholarship. Musical Migration and Imperial New York is indispensable reading, offering a new understanding of global avant-gardes and American experimental music as well as the contrasting feelings of belonging and exclusion on which they were built.

Our understanding of music is inherently metaphorical, and metaphoricity pervades all sorts of musical discourses, be they theoretical, analytical, philosophical, pedagogical, or even scientific. The notions of "body" and "force" are the two most pervasive and comprehensive scientific metaphors in musical discourse. Throughout various intertwined contexts in history, the body–force pair manifests multiple layers of ideological frameworks and permits the conceptualization of music in a variety of ways. Youn Kim investigates these concepts of body and force in the emerging field of music psychology in the late nineteenth and early twentieth centuries. The field’s discursive space spans diverse contexts, including psychological theories of auditory perception and cognition, pedagogical theories on the performer’s bodily mechanism, speculative and practical theories of musical rhythm, and aesthetical discussion of the power of music. This investigation of body and force aims to illuminate not just the past scene of music psychology but also the notions of music that are being constructed at present.

Ranging from Antiquity to contemporary analytic philosophy, it provides a concise but thorough analysis of the arguments developed by some of the most outstanding philosophers of all times. Besides the aesthetics of music proper, the volume touches upon metaphysics, ethics, philosophy of language, psychology, anthropology, and scientific developments that have influenced the philosophical explanations of music. Starting from the very origins of philosophy in Western thought (Pythagoras, Plato, Aristotle) the book talks about what music is according to Augustine, Descartes, Leibniz, Rousseau, Kant, Hegel, the Romantics, Schopenhauer, Nietzsche, Wittgenstein, Susanne Langer, Bloch, Adorno, and many others. Recent developments within the analytic tradition are illustrated with particular attention to the ontology of the musical artwork and to the problem of music and emotions. A fascinating idea which recurs throughout the book is that philosophers allow for a sort of a secret kinship between music and philosophy, as means to reveal complementary aspects of truth.

Previously, artificial neural networks have been used to capture only the informal properties of music. However, cognitive scientist Michael Dawson found that by training artificial neural networks to make basic judgments concerning tonal music, such as identifying the tonic of a scale or the quality of a musical chord, the networks revealed formal musical properties that differ dramatically from those typically presented in music theory. For example, where Western music theory identifies twelve distinct notes or pitch-classes, trained artificial neural networks treat notes as if they belong to only three or four pitch-classes, a wildly different interpretation of the components of tonal music. Intended to introduce readers to the use of artificial neural networks in the study of music, this volume contains numerous case studies and research findings that address problems related to identifying scales, keys, classifying musical chords, and learning jazz chord progressions. A detailed analysis of the internal structure of trained networks could yield important contributions to the field of music cognition.