Foreword: Mathesis as a philosophy of the beauty of music -- The constructive relationships between music and mathematics : the Pythagorean conception of universal music and its spread in the worldview of later periods -- Semantic interpretation of the interaction between music and mathematics : mystic middle ages and the sacral baroque -- Constructive aspects of the interaction between music and other arts -- Musica mathematica in practice : aspects of analysis -- Constructive aspects of (...) music composition -- Semantic aspects of music composition -- The mathematized musical graph -- Implications of modern mathematical theories. (shrink)

We assessed the automaticity of spatial-numerical and spatial-musical associations by testing their intentionality and load sensitivity in a dual-task paradigm. In separate sessions, 16 healthy adults performed magnitude and pitch comparisons on sung numbers with variable pitch. Stimuli and response alternatives were identical, but the relevant stimulus attribute (pitch or number) differed between tasks. Concomitant tasks required retention of either color or location information. Results show that spatial associations of both magnitude and pitch are load sensitive and that the (...) spatial association for pitch is more powerful than that for magnitude. These findings argue against the automaticity of spatial mappings in either stimulus dimension. (shrink)

The roots and evolution of two concepts usually thought to be Western in origin-musica mundana (the music of the spheres) and musica humana (music's relation to the human soul)-are explored. Beginning with a study of the early creeds of the Near East, Professor Meyer-Baer then traces their development in the works of Plato and the Gnostics, and in the art and literature of the Middle Ages and the Renaissance. Previous studies of symbolism in music have tended (...) to focus on a single aspect of the problem. In this book the concepts of musica humana and musica mundane are related to philosophy, aesthetics, and the history of religion and are given a rightful place in the history of civilization. Originally published in 1970. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905. (shrink)

ABSTRACT Because the modern concept of number emerged within a quadrivium that included music alongside arithmetic, geometry, and astronomy, musical considerations affected mathematical developments. Michael Stifel embedded the then‐paradoxical term “irrational numbers” (numerici irrationales) in a musical context (1544), though his philosophical aversion to the “cloud of infinity” surrounding such numbers finally outweighed his musical arguments in their favor. Girolamo Cardano gave the same status to irrational and rational quantities in his algebra (1545), for which his contemporaneous (...) work on music suggested parallels and empirical examples. Nicola Vicentino's attempt to revive ancient “enharmonic” music (1555) required and hence defended the use of “irrational proportions” (proportiones inrationales) as if they were numbers. These developments emerged in richly interactive social and cultural milieus whose participants interwove musical and mathematical interests so closely that their intense controversies about ancient Greek music had repercussions for mathematics as well. The musical interests of Stifel, Cardano, and Vicentino influenced their respective treatments of “irrational numbers.” Practical as well as theoretical music both invited and opened the way for the recognition of a radically new concept of number, even in the teeth of paradox. (shrink)

Why is the number seven lucky--even holy--in almost every culture? Why do we speak of the four corners of the earth? Why do cats have nine lives? From literature to folklore to private superstitions, numbers play a conspicuous role in our daily lives. But in this fascinating book, Annemarie Schimmel shows that numbers have been filled with mystery and meaning since the earliest times, and across every society. In The Mystery of Numbers Annemarie Schimmel conducts an illuminating (...) tour of the mysteries attributed to numbers over the centuries. She begins with an informative and often surprising introduction to the origins of number systems: pre-Roman Europeans, for example, may have had one based on twenty, not ten, while the Mayans had a system more sophisticated than our own. Schimmel also reveals how our fascination with numbers has led to a rich cross-fertilization of mathematical knowledge: "Arabic" numerals, for instance, were picked up by Europe from the Arabs, who had earlier adopted them from Indian sources. But the heart of the book is an engrossing guide to the symbolism of numbers. Number symbolism, she shows, has deep roots in Western culture, from the philosophy of the Pythagoreans and Platonists, to the religious mysticism of the Cabala and the Islamic Brethren of Purity, to Kepler's belief that the laws of planetary motion should be mathematically elegant, to the unlucky thirteen. After exploring the sources of number symbolism, Schimmel examines individual numbers ranging from one to ten thousand, discussing the meanings they have had for Judaic, Christian, and Islamic traditions, with examples from Indian, Chinese, and Native American cultures as well. Two, for instance, has widely been seen as a number of contradiction and polarity, a number of discord and antithesis. And six, according to ancient and neo-platonic thinking, is the most perfect number because it is both the sum and the product of its parts. Using examples ranging from the Bible to the Mayans to Shakespeare, she shows how numbers have been considered feminine and masculine, holy and evil, lucky and unlucky. A highly respected scholar of Islamic culture, Annemarie Schimmel draws on her vast knowledge to paint a rich, cross-cultural portrait of the many meanings of numbers. Engaging and accessible, her account uncovers the roots of a phenomenon we all feel every Friday the thirteenth. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:A Response to Valerie Trollinger, “A Reconception of Performance Study in the Philosophy of Music Education”Paul LouthAs an educator who is a former professional trombonist I can certainly appreciate the issues raised in this discussion. Because I am inclined to agree with the spirit (if not always the substance) of Trollinger's remarks, I would like to respond with some thoughts on the manner in which she tends to (...) frame this debate, because I believe that this has crucial implications and may explain the cause of some of the very problems she mentions.Charlene Morton writes that a "bias for procedural knowledge... unwittingly immerses school music in the polemic arising from the false hierarchical dichotomy between 'hard' and 'soft' forms of knowledge."1 By this she means that the Cartesian mind/body split, which has led to our conception of thinking and doing as exclusive matters, is not remedied by our discovery of the importance of purely procedural knowledge, because we merely reinforce this dichotomy through acknowledging the latter term as a separate category from theoretical knowledge. Trollinger is correct in asserting that the act of performance is often overlooked and is not treated as a serious concern in music education and I believe that this may be largely due to this dichotomy, which manifests itself in the way that we divorce performance from its original holistic context.In general, if we accept this argument, then debates about performance versus listening, theorizing, and so on are inherently problematic because the discourse itself reinforces an artificial dichotomy. If we fail to address the remnants of this "Cartesian anxiety," then in our attempts to address a lack of concern over performance, we may be left with a performance model that is purely utilitarian, in the sense that the body can only justifiably occupy a central place in the curriculum if there are direct, utilitarian outcomes that we can associate with it and so long as those outcomes are supported by the free market. In North America, progressive educators have been struggling for some time against the concept of school as a locus of training for the market place. This model becomes more difficult to resist, I would argue, as long as we continue to compartmentalize performance and other aspects of musicianship. Such practices reinforce an artificial distinction between procedural and theoretical forms of knowing (and, by extension, between mental and manual forms of labor) that Apple, Giroux, and other critical pedagogues would argue atomizes student knowledge in preparation for the marketplace; yet musicianship can serve many other valuable purposes.2 [End Page 231]Trollinger, in using the word "holistic," reminds us of the connection between body and mind that exists in performance. Further, she correctly states that until relatively recently, those who taught music were musicians. I would add that in Canada (where I teach), the idea that music should be taught by musicians has often been used to justify its exclusion from schools, which is indicative of our tendency to exclude those things that we deem corporeal from the life of the mind. In my home province of Ontario, recent emphasis on "the basics" has meant that music programs have vanished in great numbers, while music study is relegated to the conservatories which, with their widespread tendency to essentialize musical experience as performance in the most limited sense of the word, have contributed further to this dichotomy.My point is that all of us, including Trollinger, may wish to reconsider the nomenclature that we carry into this debate from the outset. Because the word "performance" has become strongly associated with this particular pole (it is no accident that we use this word to describe car engines and stock returns) I suggest we can best elevate our estimation of the term by replacing it with the word "musicianship." In this way we can repair some of the damage done by the Cartesian split and the consequent de-valuing of performance that has occurred through separation from its original context. Within such an integrated model, it would become problematic to debate the relative importance of performing, listening, theorizing, or any number of activities with regard to the overall goals of musicianship... (shrink)

Studies by Gardiner and colleagues connecting musical pitch and arithmetic learning support Rips et al.'s proposal that natural number concepts are constructed on a base of innate abilities. Our evidence suggests that innate ability concerning sequence ( or BSC) is fundamental. Mathematical engagement relating number to BSC does not develop automatically, but, rather, should be encouraged through teaching.

In lieu of an abstract, here is a brief excerpt of the content:Editorial Reflections on Philosophizing in Music EducationEstelle R. Jorgensen and Iris M. YobIn this article, we reflect on issues that go to the heart of teaching and scholarship in the philosophy of music education. After thirty years of editing Philosophy of Music Education Review, it is a good time to take stock of the philosophical work that has been and is being published and of challenges (...) that remain.Over the years, there has been a growing quality of philosophical articles published in the journal, due in significant part to the efforts of reviewers and the willingness of writers to work with their suggestions. Authors regularly express appreciation for the informed, critical, and constructive reviews their work receives. An exemplary body of philosophical scholarship in music education has been published over this time and PMER is regarded as a premier journal internationally devoted exclusively to the philosophy of music education. In thirty volumes of uninterrupted publication, we have sought to be responsive to important issues in music education. Our writers have engaged relevant subjects of interest to our readers, citations of articles remain strong, and articles are included in [End Page 109] university and college course reading lists. PMER is available in print and online via subscription; it has a wide digital exposure in search engines and leading indexes, and our readership continues to grow.Despite this progress, although the number of submissions has increased, their quality has sometimes been uneven. Our pedagogical commitment to foster philosophical writing and the philosophical inexperience of some writers has significantly impacted the work required to bring submissions to publication standard. Submissions sometimes evidence a lack of attention to formulating a tight argument, citing relevant sources, and polishing and editing the manuscript. The published style guidelines are too often ignored, creating a poor first impression with reviewers and editors. Writers are occasionally in a hurry to publish and less willing to entertain multiple revisions of their articles required to produce work of lasting value. The growing number of music education journals that publish philosophical work, while opening more fora, in some cases perversely result in ideologically driven, polemical, and philosophically uninformed articles in the name of philosophy. This is a good moment to reconsider the importance of philosophical fundamentals that should undergird our philosophizing in music education and what these mean for our academic responsibilities. To this end, we suggest several principles that need to be central to our philosophizing in music education. These principles also have broader implications for the expectations of scholarship in music education generally.WRITING PHILOSOPHYLike other subject areas in the academy, philosophy has its own intellectual structure, a canon of significant writings, its own interpretative methods, and its distinctive role and purpose. A philosophical paper in music education reads differently from papers in the history of music education, methods of teaching music, sociology of music education, empirical research in music education, multi-cultural, gender, and ethnic studies, music education curriculum building and policy making, and so on. And yet, the boundaries between these disciplines, which are artificial constructions when human knowledge is considered wholistically anyway, are somewhat porous with concepts and ideas and claims seeming to move easily from one discipline to another.To help distinguish between philosophy and other areas of study and research, it may be helpful to consider philosophy as a second-order activity. That is, first-order activity examines the raw data of research and experience and attempts to make sense of them. Using inference, pattern-seeking, deduction, hypotheses, statistical analysis, and so on, these activities result in claims, interpretations, and theories that give meaning to what we see, hear, and feel. [End Page 110]The second-order activity takes a step away from these first-order activities. It does not concern itself so much with raw data or with creating theories about them, but critically analyzes the claims and inferences that are made in regard to them. Where first-order disciplines analyze inputs from observation and experimentation, second-order disciplines analyze these analyses—that is, they function as meta-analyses. Philosophers do not need laboratories or fieldwork (which makes applications for grants to support philosophical research difficult to secure!). They need libraries... (shrink)

A recently emerging view in music cognition holds that music is not only social and participatory in its production, but also in its perception, i.e. that music is in fact perceived as the sonic trace of social rela- tions between a group of real or virtual agents. While this view appears compatible with a number of intriguing music cognitive phenomena, such as the links between beat entrainment and prosocial behaviour or between strong musical emotions and empathy, (...) direct evidence is lacking that listeners are at all able to use the acoustic features of a musical interaction to infer the affiliatory or controlling nature of an underlying social intention. We created a novel experimental situation in which we asked expert music improvisers to communicate 5 types of non-musical social intentions, such as being domineering, dis- dainful or conciliatory, to one another solely using musical interaction. Using a combination of decoding studies, computational and psychoacoustical analyses, we show that both musically-trained and non musically-trained listeners can recognize relational intentions encoded in music, and that this social cognitive ability relies, to a sizeable extent, on the information processing of acoustic cues of temporal and harmonic coordination that are not present in any one of the musicians’ channels, but emerge from the dynamics of their interaction. By manipulating these cues in two-channel audio recordings and testing their impact on the social judgements of non-musician observers, we finally establish a causal relationship between the affiliation dimension of social behaviour and musical harmonic coordination on the one hand, and between the control dimension and musical temporal coordination on the other hand. These results provide novel mechanistic insights not only into the social cognition of musical interactions, but also into that of non-verbal interactions as a whole. (shrink)

In addition to the technical writers on music, a number of ancient authors, notably Plutarch and Athenaeus, have recorded several musical terms, either by way of illustrative material—Plutarch is particularly given to musical similes and metaphors—or in the course of anecdotes about music and musicians. As musical terminology in different ages contains words or phrases not only of general acceptance and familiarity, but other more ephemeral expressions which belong to the jargon of a narrower circle of executants and (...) critics, it is possible that the musical significance of such words, when used in an apparently non-musical context, has escaped notice. (shrink)

The development of philosophical ideas throughout history has sometimes been assisted by the use of handcrafted instruments. Some paradigmatic cases, such as the invention of the telescope or the microscope, show that many philosophical approaches have been the result of the intervention of such instruments. The aim of this article is to show the determining role that stringed musical instruments with frets had in the crisis and generation of philosophical paradigms. In fact, just as the observations of the moon with (...) the telescope broke more than a thousand years of Aristotelian hegemony, the fretted string instruments, predecessors of the guitar, played a central role in the collapse of one of the most influential approaches in the history of Philosophy: Pythagorism. We focus on the fundamental hallmarks of Pythagorism and on how, during the 16th century and from the fretted string instruments, the mathematical-musical notion of equal temperament emerged, which from the middle of the 19th century will be established as the prevailing philosophical-musical paradigm of the West. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Culturally Responsive Teaching in Music Education: From Understanding to Application by Vicky R. Lind and Constance L. McKoyEric ShiehVicky R. Lind and Constance L. McKoy, Culturally Responsive Teaching in Music Education: From Understanding to Application (New York, NY: Routledge, 2016).In the book’s penultimate chapter, titled “Community,” we encounter a teacher who agrees to a student’s request to start a mariachi band and gets “more than he (...) bargained for.”1 We hear from a teacher who seeks a greater understanding of the context for her Black students and finds herself the only White person in many of the community events she attends. We learn about a teacher who has her marching band, predominantly comprised of Latinx students, march in annual Korean and Black community parades in the city and why she does this. What to make of these stories—inspiring, provocative, suffused with honesty? I found myself restless to share these narratives with my own teaching colleagues, to ask not simply “What do you see happening here?” but also “Where would something like this take us?”What is notable about Vicky Lind and Constance McKoy’s achievement here is that they have given us a very full book and one that provides many different points of entry—stories and theories and activities and questions—through which to engage with ideas of culturally responsive teaching. In just under 150 [End Page 210] pages with index and references, the book encompasses four chapters that review various academic traditions connected to culturally responsive teaching, concludes with three chapters that relay narratives and vignettes from K-12 music teachers, and includes throughout lists of reflection questions and teaching strategies. The primary audience is pre-service and in-service K-12 music teachers. If a key requirement for culturally responsive teaching is continuous reflection over the impacts our pedagogies have on our students and ourselves as teachers, this book’s wide-ranging engagement is indeed a welcome one.What I offer here in terms of review, then, is first a consideration of the book’s various components and where they might lead us. Second, I bring its ideas of cultural responsiveness into dialogue with ideas more commonly found in anti-racist and social justice approaches to education—traditions the book does not directly engage with but which certainly have a place in conversations around it. This is a particularly relevant time, I suggest, to engage with questions of cultural responsiveness alongside perhaps more politically-minded approaches: this book will be read, I hope, by teachers grappling with our age of renewed and visible racial struggle, increased forced migration, and cultural insecurity.The first half of the book is explicitly dedicated to “understanding” culturally responsive teaching. Its chapters present a historical overview of its conceptual development, explicate the centrality of culture and cultural competence to teaching, and discuss the connection between music and identity in young people. The authors center their conceptualization of culturally responsive teaching around Geneva Gay’s framework, outlined in her Culturally Responsive Teaching, as “using the cultural knowledge, prior experiences, frames of reference, and performance styles of ethnically diverse students to make learning encounters more relevant to and effective for them.”2 “Effective,” here, is understood broadly and includes academic competence, self-efficacy, social critique, and the freedom to be “ethnically expressive.”3In laying this foundation, the authors negotiate thoughtfully a number of tensions inherent in this work that are too often simplified in the classroom. They recognize, for example, the need to acknowledge culture as a category through which human experience is mediated, but also one that too easily gives way to stereotyping. When discussing issues of music and identity they remind readers that musical identities are multiple and suggest that musical identities might be viewed as both “bottom-up” and “top-down”—constructed through a variety of ongoing experiences as much as they are constituted by national or ethnic affiliation.4 They also do not shy from language such as “high expectations” and “academic competence” when discussing the need for comprehensive and supportive classrooms, despite the uneasiness with which these terms often sit in arts education and alongside purposes of engendering social critique... (shrink)

The convergence of the Neoplatonic/Neopythagorean approach with the Aristotelian organization of the sciences is one of the most interesting features that characterizes the two influential mathematical treatises on On Arithmetics and On Music by Severinus Boethius. Basing his reasoning on Nicomachus and Ptolemy, Boethius follows the philosophical tradition that had tried to reconcile Plato’s and Aristotle’s views. This attitude is examined in the present paper as regards Boethius’ response concerning the relation between numbers, ethics and aesthetics. His view (...) emerges as coming out of a rather complex construction, which assigns the ethical scope of mathematics in indicating to the human mind how to correct the ratios that realize the best relationship in movements of the soul and the body. More precisely, its ethical aim is to correct the specific form of movement of human beings, that is their actions, exemplified in the way in which mathematical ratios represent the forms of government and musical ratios evoke and heal psychophysical affections. More complex, on the other hand, is the relationship between mathematics and beauty. In clear antithesis to the position taken by Augustine on the beauty of the rhythmic patterns that better represent the beauty of unity, Boethius does not relate the mathematical ratios of the consonances to an esthetical judgment by making use of the category of beauty. For him, the physical world is totally immersed in changes and movements, and this cannot but impede things from expressing the stable unity, which is required for contemplating the beautiful. (shrink)

The fragmentary columns of the Fourth Book of Philodemus' περ μονσικς were the first-fruits of Herculaneum, published in 1793, with venturesome reconstructions and learned notes, by the Academici of Naples. Fragments of the other books occur in four volumes of the Collectio Altera of 1862–5. A. Teubner Text by J. Kemke, a pupil of Bücheler, appeared in 1884, upon which Gomperz made a number of improvements in a pamphlet published in the following year. Otherwise, save for a few pages in (...) H. Abert's Die Lehre vom Ethos in der griechischen Musik published in 1899, the work has attracted very little attention; which is scarcely surprising in view of the state of the text and the peculiar awkwardness of Philodemus' Greek. (shrink)

Musical knowledge is largely implicit. It is acquired without awareness of its complex rules, through interaction with a large number of samples during musical enculturation. Whereas several studies explored implicit learning of mostly abstract and less ecologically valid features of Western music, very little work has been done with respect to ecologically valid stimuli as well as non-Western music. The present study investigated implicit learning of modal melodic features in North Indian classical music in a realistic and (...) ecologically valid way. It employed a cross-grammar design, using melodic materials from two modes that use the same scale. Findings indicated that Western participants unfamiliar with Indian music incidentally learned to identify distinctive features of each mode. Confidence ratings suggest that participants' performance was consistently correlated with confidence, indicating that they became aware of whether they were right in their responses; that is, they possessed explicit judgment knowledge. Altogether our findings show incidental learning in a realistic ecologically valid context during only a very short exposure, they provide evidence that incidental learning constitutes a powerful mechanism that plays a fundamental role in musical acquisition. (shrink)

The article is dedicated to the philosophical reaction by several Russian symbolists to the revolution of 1917. It demonstrates the “re-grouping” of Silver Age symbolism, which laid bare the underlying differences in its value foundations. The article considers this refracted unity in the ideational world of symbolism, in the journalistic writings of Vjacheslav Ivanov, Alexander Blok, Andrej Bely, and Maximilian Voloshin.

This article aims to explore the origins of Charles W. Morris’ semiotic anthropology through an analysis of his “symbolism,” a theory of mind wherein the latter is completely identified with the production and use of symbols. Developed in the late 1920s, this theory consists in transforming the behaviorist approach by means of a semantic or referential emphasis, i.e. by underlining the importance of the symbol’s object rather than studying only the responses that it elicits. Considering, however, that the experience (...) of reference is of a private or “self-inclusive” nature, Morris’ conception of the symbol entails a number of significant consequences, not only with respect to classical behaviorist views, but also to Mead’s. By founding his conception of the symbol on a self-inclusive basis, Morris questioned the linguistic and social criteria that governed the outlook of his mentor in Mind, Self, and Society. This critical reading thus implies a rehabilitation of animal symbolism, against a number of remarks by Mead indicating his refusal of the existence of symbolization, and so of mind, in the non-human world. Insofar as Morris’ line of thought was heavily influenced by contemporary research in comparative psychology, it is possible to consider that he anticipated recent discussions of Mead’s alleged “anthropocentrism,” and suggested an evolutionary and continuous view of mind through a generalized symbolism that refuses any difference of nature between human and animal mentalities. (shrink)

CHAMELEON is a computational melodic harmonization assistant. It can harmonize a given melody according to a number of independent harmonic idioms or blends between idioms based on principles of conceptual blending theory. Thus, the system is capable of offering a wealth of possible solutions and viewpoints for melodic harmonization. This study investigates how human creativity may be influenced by the use of CHAMELEON in a melodic harmonization task. Professional and novice music composers participated in an experiment where they were (...) asked to harmonize two similar melodies under two different conditions: one with and one without computational support. A control group harmonized both melodies without computational assistance. The influence of the system was examined both behaviorally, by comparing metrics of user-experience, and in terms of the properties of the artifacts that were created between the two experimental conditions. Results suggest that appreciation of the system was expertise-dependent. At the same time, users seemed to adopt more explorative strategies as a result of interaction with CHAMELEON based on the fact that the harmonizations created this way were more complex, diverse, and unexpected in comparison to the ones of the control group. (shrink)

The study aimed to investigate the influence of different types of acoustic stimulus (classical vs. rock music) on the growth of bok choy (Brassica rapa) plants. Three separate groups of bok choy plants were exposed to classical music, rock music, or else no music, during growth and development and the influence on yield was observed. The results reveal that those plants exposed to classical music exhibited significant differences in shoot characteristics with the highest total fresh (...) weight, shoot fresh weight, and mean leaf numbers. Meanwhile, those plants exposed to rock music demonstrated values that were the lowest across all plant parameters. Plants treated to classical music had the lowest root length but the highest root volume, indicating that the roots were significantly stouter and more compact as compared to those plants treated to rock music and no music. This study therefore serves as a future reference for the use of music in plant growth. (shrink)

The process of conceptualization and creation of a film score heavily depends on the collaboration between the film director and composer. The harmony of the director’s and film composer’s ideas should provide an impetus for the synchronization of literature (the script and film narrative) and music (film score). This was mainly used as a guide in crafting the film score for the independent film Ang Panggagahasa kay Fe (The Rapture of Fe, 2009) directed by Alvin Yapan. This article explores (...) how the music is deployed to resonate with the mythic and folkloric sensibility of the film narrative. We chose to use the tambuleleng, a native lute instrument/chordophone from Bukidnon, Southern Philippines, that is a modern adaptation of three traditional instruments. In its invention, its crafting, and in the sounds it produces, the tambuleleng is an artful blending of tradition and modernity. The tambuleleng’s composition, its symbolism and function in native life and rituals, aside from the sound it creates, all became material in conveying the folkloric narrative, and articulating the issues presented in the film. Some concerns on Philippine film musical scoring are also tackled, mainly focusing on the constraints, as well as the liberties involved when operating within a limited budget for an independent movie production. (shrink)

Auditory scene analysis is an elementary aspect of music perception, yet only little research has scrutinized auditory scene analysis under realistic musical conditions with diverse samples of listeners. This study probed the ability of younger normal-hearing listeners and older hearing-aid users in tracking individual musical voices or lines in JS Bach's The Art of the Fugue. Five-second excerpts with homogeneous or heterogenous instrumentation of 2–4 musical voices were presented from spatially separated loudspeakers and preceded by a short cue for (...) signaling the target voice. Listeners tracked the cued voice and detected whether an amplitude modulation was imposed on the cued voice or a distractor voice. Results indicated superior performance of young normal-hearing listeners compared to older hearing-aid users. Performance was generally better in conditions with fewer voices. For young normal-hearing listeners, there was interaction between the number of voices and the instrumentation: performance degraded less drastically with an increase in the number of voices for timbrally heterogeneous mixtures compared to homogeneous mixtures. Older hearing-aid users generally showed smaller effects of the number of voices and instrumentation, but no interaction between the two factors. Moreover, tracking performance of older hearing aid users did not differ when these participants did or did not wear hearing aids. These results shed light on the role of timbral differentiation in musical scene analysis and suggest reduced musical scene analysis abilities of older hearing-impaired listeners in a realistic musical scenario. (shrink)

Abstract:In 1952, John Cage wrote 4′33″ which famously asked the performer not to play a single note: tacet. This provocative work raises a number of questions. In music—and by extension, music education—what does it mean to not do something? What does it mean to make no sound? More fundamentally, what is the nature of non-action, non-sound, and even nothingness in and of itself? Since Cage was influenced by Eastern philosophy, we journey to Asia in search of insights into (...) nothingness and associated notions of absence and negation. In particular, we draw on the writings of Daoist philosophers, principally Laozi, to examine a quartet of philosophical terms, namely, wu (nothing/ness), wuwei (non-action), wusheng (non-sound), and wuaile (neither sorrow nor joy). Using these ideas, we propose a Daoist-inspired philosophy of music education, one that emphasizes the usefulness (yong) of nothingness (wu). (shrink)

Recently, a number of philosophers have defended a novel, materialist view on the nature of musical works—musical perdurantism. According to this view, musical works are a peculiar kind of concreta, namely perduring mereological sums of performances and/or other concrete entities. One problem facing musical perdurantism stems from the thought that if this view is correct, then virtually no musical work can exist in a continuous, non-intermittent fashion. The aim of this paper is to expound this problem and show that it (...) cannot be plausibly solved by a musical perdurantist. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Music Teacher Education in Japan:Structure, Problems, and PerspectivesMasafumi OgawaSchool music education in Japan is in a less than ideal situation. In April 2002, the new course of study was implemented by the Ministry of Education, Culture, Sports, Science and Technology (MEXT).1 The total number of music classes in the new curriculum was reduced to 33% of what it had been by the end of 2002. The (...) reduction went from two hours of music classes every week in grades one through nine to one hour in grades five through nine. This inevitably caused many problems. First, it became very difficult to teach music sequentially and instead music classes tended to be fragments of introductory experiences taught as disconnected activities. In this situation, it has been difficult for students to develop musical knowledge and skills. Second, the number of full-time music teachers was reduced greatly. It became common for a music teacher to teach at more than two schools in order to fill a full-time assignment. In some scenarios, many full-time music teachers were replaced with part-time teachers or teachers of other subjects. Music teachers have become disposable.Many music teachers are losing their effectiveness in the classroom. Students consider school music classes as a time to relax compared with other "intellectual subjects."2 They sometimes question music as an essential subject because they [End Page 139] do not value the developing skills that music requires or studying the theory of music. They believe that they can enjoy music outside of school anyway. Consequently, they are quite reluctant to participate in music classes and so behavioral problems arise and classroom management becomes more difficult. Some teachers attempt to force students to obey and force them to order; other teachers totally give up and let students behave as they like in class.3 In either case, teachers and students do not relate well to each other. It is not an exaggeration to say that school music in Japan is at risk of collapsing altogether and disappearing from the curriculum.One of the reasons for this, I believe, is that we have not wrestled with the fundamental problems of school music education until today. We might have intentionally avoided reviewing and criticizing the curriculum, expectations, and purposes of music education because it has been taboo to discuss the national standards, particularly for public school teachers to do so. Social and environmental conditions have changed greatly since the current system of Japanese education was established in 1947. It is obvious that the existing system does not match the new conditions.I strongly feel that it is time to review and reexamine what our pioneers of music education and the government had achieved in the field of music education. If we continue to avoid doing so, music in the schools will face serious consequences. In this paper, I discuss some of the fundamental issues of music teacher education in Japan. There are two reasons for focusing on music teacher education. First, starting with music teacher education is most important because music teachers have the most significant roles in school music education. Second, I have been engaged in music teacher education for seventeen years, and this is not only my research area but also an area in which, as an insider, I can offer direct insights. I will limit this essay to looking at the preparation of teachers in music for elementary and middle schools (grades 7 to 9).StructureThe course of study (COS) is a set of national curriculum standards for kindergarten, elementary, middle, and high school, and schools for the handicapped and is issued by the MEXT.4 All schools, public or private, are required to follow these standards. No other curriculum is allowed. Therefore, in Japan, the COS is law through which the government controls all educational actions. The COS was first issued in 1947 and has been revised seven times.5 The most recent revision was announced in December 1998 for kindergarten, elementary, and middle schools, and in March 1999 for the other levels. All schools in Japan were required to implement the revised COS by April 2002. [End Page 140]The COS of... (shrink)

ABSTRACT On the cusp of the Weimar Republic’s transition to the Nazi era the production and public reception of these works of music theater by Kurt Weill, Bertolt Brecht and Georg Kaiser embody the social and ideological conditions of the time and were founded on a critique of these same conditions. Weill’s and Brecht’s opera unfolds in a mythical place which serves as a parable for capitalist utopia/dystopia, Mahagonny being the emblematic city of dreams and disillusionment. Kaiser’s play, with (...) music by Weill, takes utopian longings as its subject in various ways, from petty bourgeois aspirations to liberation for the workers. Silbersee combines a sharp political allegory about the rise of Nazism with a symbolist drama about the promise of a better world. Using examples of Weill’s music this article will explore how these works dramatize Utopia as explicitly modelled content, represented desire and transformative agency. (shrink)

Measuring responsiveness to gain accurate diagnosis in populations with disorders of consciousness (DOC) is of central concern because these patients have such complex clinical presentations. Due to the uncertainty of accuracy for both behavioral and neurophysiological measures in DOC, combined assessment approaches are recommended. A number of standardized behavioral measures can be used with adults with DOC with minor to moderate reservations relating to the measures’ psychometric properties and clinical applicability. However, no measures have been standardized for use with pediatric (...) DOC populations. When adapting adult measures for children, confounding factors include developmental considerations for language-based items included in all DOC measures. Given the lack of pediatric DOC measures, there is a pressing need for measures that are sensitive to the complex clinical presentations typical of DOC and that can accommodate the developmental levels of pediatric populations. The music therapy assessment tool for awareness in disorders of consciousness (MATADOC) is a music-based measure that has been standardized for adults with DOC. Given its emphasis on non-language based sensory stimuli, it is well-suited to pediatric populations spanning developmental stages. In a pre-pilot exploratory study, we examined the clinical utility of this measure and explored trends for test-retest and inter-rater agreement as well as its performance against external reference standards. In several cases, MATADOC items in the visual and auditory domains produced outcomes suggestive of higher level functioning when compared to outcomes provided by other DOC measures. Preliminary findings suggest that the MATADOC provides a useful protocol and measure for behavioral assessment and clinical treatment planning with pediatric DOC. Further research with a larger sample is warranted to test a version of the MATADOC that is refined to meet developmental needs of pediatric DOC populations. (shrink)

The subject of the study is the ontological ideas of ancient Chinese music in the context of the formation of philosophical schools of Ancient China, which make it possible to identify a number of philosophical categories that underlie traditional chinese music and outline different approaches to its understanding and interpretation. Most Chinese researchers in the field of musical aesthetics focus on the art of music, rare to pay attention to the philosophical origins of the categories of (...) class='Hi'>music that past thinkers wrote about when analyzing laws of existence of the universe. Restoring and rethinking these values in the context of the philosophical and cultural analysis of ancient Chinese music is key to this work, which allows us to gain an understanding of the specifics of ancient Chinese culture and its musical heritage. The novelty of the work lies in carrying out the correlation of genesis of the musical ontology of Ancient China with the dynamics of the formation of the philosophical schools of Confucianism, Taoism and Buddhism, their rise or fall depending on the historical and cultural situation. Musical philosophy in China has not yet become an independent discipline, so the presented work makes a significant contribution to the field of musical ontology. During the study, the authors revealed three main aspects which are basic for the ontology of ancient Chinese music: The nature of music has its source three categories: Tao, air and sound, existing both in a natural state in nature and embodied in musical structure and instruments; Sound and rhythm being the essence to any musical work, organize the sounding space in accordance with the cosmic order; The metaphysical nature of music is justified by the basic principles of Taoist philosophy and number theory. (shrink)

Music impacting on speech processing is vividly evidenced in most reports involving professional musicians, while the question of whether the facilitative effects of music are limited to experts or may extend to amateurs remains to be resolved. Previous research has suggested that analogous to language experience, musicianship also modulates lexical tone perception but the influence of amateur musical experience in adulthood is poorly understood. Furthermore, little is known about how acoustic information and phonological information of lexical tones are (...) processed by amateur musicians. This study aimed to provide neural evidence of cortical plasticity by examining categorical perception of lexical tones in Chinese adults with amateur musical experience relative to the non-musician counterparts. Fifteen adult Chinese amateur musicians and an equal number of non-musicians participated in an event-related potential (ERP) experiment. Their mismatch negativities (MMNs) to lexical tones from Mandarin Tone 2–Tone 4 continuum and non-speech tone analogs were measured. It was hypothesized that amateur musicians would exhibit different MMNs to their non-musician counterparts in processing two aspects of information in lexical tones. Results showed that the MMN mean amplitude evoked by within-category deviants was significantly larger for amateur musicians than non-musicians regardless of speech or non-speech condition. This implies the strengthened processing of acoustic information by adult amateur musicians without the need of focused attention, as the detection of subtle acoustic nuances of pitch was measurably improved. In addition, the MMN peak latency elicited by across-category deviants was significantly shorter than that by within-category deviants for both groups, indicative of the earlier processing of phonological information than acoustic information of lexical tones at the pre-attentive stage. The results mentioned above suggest that cortical plasticity can still be induced in adulthood, hence non-musicians should be defined more strictly than before. Besides, the current study enlarges the population demonstrating the beneficial effects of musical experience on perceptual and cognitive functions, namely, the effects of enhanced speech processing from music are not confined to a small group of experts but extend to a large population of amateurs. (shrink)

The dawn of music semiology showcases the work of ten leading musicologists inspired by the work of Jean-Jacques Nattiez. Reflecting the energy and diversity of the young field of music semiology, chapters in this volume discuss music and gesture, the psychology of music, and the role of ethnotheory, and offer new research on topics as diverse as modeling folk polyphony, spatialization in the Darmstadt repertoire, Schenker's theory of musical content, and modernism from Wagner to Boulez.

Although music is known to be a part of everyday life and a resource for mood and emotion management, everyday life has changed significantly for many due to the global coronavirus pandemic, making the role of music in everyday life less certain. An online survey in which participants responded to Likert scale questions as well as providing free text responses was used to explore how participants were engaging with music during the first wave of the pandemic, whether (...) and how they were using music for mood regulation, and how their engagement with music related to their experiences of worry and anxiety resulting from the pandemic. Results indicated that, for the majority of participants, while many felt their use of music had changed since the beginning of the pandemic, the amount of their music listening behaviors were either unaffected by the pandemic or increased. This was especially true of listening to self-selected music and watching live streamed concerts. Analysis revealed correlations between participants’ use of mood for music regulation, their musical engagement, and their levels of anxiety and worry. A small number of participants described having negative emotional responses to music, the majority of whom also reported severe levels of anxiety. (shrink)

This dissertation defends the place of representation in music. Music’s status as a representational art has been hotly debated since the War of the Romantics, which pitted the Weimar progressives (Liszt, Wagner, &co.) against the Leipzig conservatives (the Schumanns, Brahms, &co.) in an intellectual struggle for what each side took to be the very future of music as an art. I side with the progressives, and argue that music can be and often is a representational medium. (...) Correspondence (or resemblance) theories of representation, such as the one I offer, have been much maligned in philosophy since the 1960s. Most theories assimilate representation under “meaning,” which has usually been thought to belong primarily to language. As a result, representational content has been taken to be purely conventional in the way that sentential meaning is. People want to know what music “means,” and these theories interpret this as “what does it refer to?” or “what propositions does it express?” I argue that propositional communication is only one (small) part of the issue. Once we overcome the bias of conceiving of musical works as essentially linguistic items, speech acts (performed) or sentence tokens (written), we can begin to take music on its own terms to discover how it represents—one way in which it “means.” The first step is to “naturalize” music’s representational content. Influenced by recent discussions in the philosophies of mind and science, I argue in Chapter 1 that composers represent extra-musical objects, events, and states of affairs through their works by exploiting antecedent relations (such as similarities in pitch, timbre, and structure) in order to secure reference to them. In Chapter 2, I survey and respond to the main challenges that those skeptical of music’s representational possibilities would raise against my theory of musical representation. In Chapter 3, I explore a number of ways through which music has been claimed to represent in order to show how my theory accounts for these diverse phenomena better than its conventionalist rivals, both in terms of the metaphysics and the epistemology. Chapter 4 extends this discussion by offering an account of how we perceive, understand, appreciate, and interpret sophisticated musical representations. I conclude by teasing out some of my theory’s implications and suggesting areas for further research. (shrink)

The quality of education is currently considered to be a concern of the highest political priority. However, quality assurances of all kinds seem to be built on and result in a number of quantitative measures. In this essay, I discuss the traditional and philosophical meaning of the concept of quality and how it is being used today, but above all how our current understanding of "quality" may influence pluralism and diversity in education and music education. The worrying trends discussed (...) in this essay are too complex to be solved with quick efforts by philosophers, researchers, and/or teachers. Nevertheless, I illuminate some aspects of the issue which are in need of further discussion and analysis in relation to the field of music. I also indicate a number of philosophical concepts that can contribute to creating awareness of as well as evoke some resistance to this trend. (shrink)

Technological advances over the past 50 years or so have resulted in the development of a succession of hardware and software systems intended to improve the quality and effectiveness of Western music instrument pedagogy during classroom instruction or individual study. These systems have aimed to provide evaluation or visualization of single or combined technical aspects by analyzing performance data collected in real time or offline. The number of such educational technologies shows an ever-increasing trend over time, aided by the (...) wide diffusion and availability of mobile devices. However, we believe there are unrealized opportunities for modern technologies to help music students in their technical development and assist them during their practice sessions in between visits to their teachers. The ubiquity of PCs and mobile devices with built-in microphones, speakers, and cameras has inspired the development of media technologies in support of music pedagogy. They offer an attractive potential for implementing audio signal processing algorithms addressing different technical skills of the performer, providing real-time feedback, collecting data over time, and applying statistical models. Despite this potential, most available software for music instrument pedagogy remains very limited in functionality. This study provides a survey of music edTech software available, together with the methods of use, addressed technical skills, commonalities, and limitations. Results show that most current software is based on the metronome and tuner, with only a few systems that have limited abilities to follow a performance in real-time and compare it to a given score to monitor correctness of notes, intonation, and rhythm. The survey also highlights a high and under-exploited potential regarding the monitoring of other more specific technical skills, which are more instrument-dependent, but no less important, such as the control of dynamic range and clarity of the attack. This article ends with a discussion of possible directions for future development of technologies to support the practice of music students at different levels, with some consideration for the corresponding signal processing methods that can be utilized or that need advancement. By helping students to more efficiently achieve a high level of proficiency of their instruments with assistive technologies, we hope to minimize stress and afford better enjoyment of the music performance experience for all. (shrink)

Ancient Greek Philosophy routinely relied upon concepts of number to explain the tangible order of the universe. Plotinus' contribution to this tradition, however, has been often omitted, if not ignored. The main reason for this, at first glance, is the Plotinus does not treat the subject of number in the Enneads as pervasively as the Neopythagoreans or even his own successors Lamblichus, Syrianus, and Proclus. Nevertheless, a close examination of the Enneads reveals that Plotinus systematically discusses number in relation to (...) each of his underlying principles of existence--the One, Intellect, and Soul. Plotinus on Number offers the first comprehensive analysis of Plotinus' concept of number, beginning with its origins in Plato and the Neopythagoreans and ending with its influence on Porphyry's arrangement of the Enneads. It's main argument is that Plotinus adapts Plato's and the Neopythagoreans' cosmology to place number in the foundation of the intelligible realm and in the construction of the universe. Through Plotinus' defense of Plato's Ideal Numbers from Aristotle's criticism, Svetla Slaveva-Griffin reveals the founder of Neoplatonism as the first post-Platonic philosopher who purposefully and systematically develops what we may call a theory of number, distinguishing between number in the intelligible realm and number in the quantitative, mathematical realm. Finally, the book draws attention to Plotinus' concept as a necesscary and fundamental linke between Platonic and late Neoplatonic schools of philosophy. (shrink)

The apparent contradiction between subjective and objective approaches to time in Augustine can be resolved if it is understood that he regarded cosmic time and the finite things it engenders as being of itself, in some sense, both psychic and self-recording. This interpretation holds whether or not Augustine affirms a world soul. It is justifiable in terms of the continued applicability of his earlier liberal-arts writings to his later texts and his blending of Plotinian vitalism, Porphyrian spiritualism, and his own (...) ‘theurgism’ (especially in his commentary on the Psalms), which is parallel to that of Iamblichus. Augustine’s ‘musical ontology’, which is also a metaphysics of number, word, and seminal reason, leads him to develop a theory of time and memory that anticipates more the spiritual realism of Bergson than it does idealist and phenomenological philosophies. However, for Augustine, time as an image of eternity remains aporetic, and its aporia is ‘resolved’ only by the Incarnation and its sustaining as the liturgical and political community of the Church. Through Christological, and not just angelic, mediation, our memories and expectations truly reach to past and future realities, just as our intentions reach to really located things, but only because all of these are both inherently psychic/intellectual and sustained by the divine eternity. (shrink)

In this scholarly, well-planned, and well-documented number in the series "Seminar in the History of Ideas," Professor Boas, in these days of the People's Revolution, shows himself an unrepentant elitist. Illustrative of this attitude is his statement in the fourth essay: "Hideous as such a view seems to a modern reader softened by humanitarianism, it would be well if we could tell in advance whom God has chosen to be lettered. There is certainly little sense in wasting a college education (...) on anyone predestined to be an ass or an ox." Boas' wish to avoid the people as much as possible determines the orientation of many of the eight essays in this book about the history of the people in art, literature, music, and politics. In the second essay, "Who are the People?" he explores the various religious, social, and political contexts in which the term "People" has been used, and concludes that its reality is only nominalistic, since the term has had so many diverse meanings. In "The People as Poet," he creates a multi-faceted study of the rural muse, of national traits expressed in poetry, and of folk forms. But in doing so, he argues against the collectivist theory of creation and dismisses the poetic products of country-folk as strictly derivative. Boas barely alludes to the phenomenon of oral composition. He is evidently unaware that this tradition was as alive in twentieth-century Yugoslavia as in Homer's Greece. Consideration of such evidence might have caused him to modify his unqualified attribution of a monopoly on poetic creation to the individual poet. A good part of the penultimate essay, "The People as Musician," is devoted to a survey of nineteenth-century movements of cultural and political internationalism. The other half explores the possibility of artistic expression of the "national soul," an idea which the author particularly disparages in the case of music because of the limits of symbolism of the medium. In "Egalitarianism," Boas surveys the condition of the working man and pronounces that all is well; the lucky fellow works in modern, clean factories--no noisier than his TV-dominated home--and stands on the verge of full participation with management in the benefits of production. Despite its ideological naÏvetés, the book remains a model of scholarly talent and discipline, as well as a mine of standard and esoteric information on the history of the "People" in many fields. An index, bibliography, and fourteen plates depicting the "People" in art are included.--C. M. R. (shrink)

The main focus of the paper is the role of listeners’ emotion-relevant characteristics and musical expertise in the granularity of affective responses to music. Another objective of the study is to test the consistency of the granularity of affect that is perceived in music and/or experienced in response to it. In Experiment 1, 91 musicians and nonmusicians listened to musical excerpts and grouped them according to the similarity of the affects they experienced while listening. Finer grouping granularity was (...) found in musicians and high rumination scorers. Male musicians with above-median scores in rumination produced a larger number of clusters than the other male participants. Experiment 2 that engaged 23 participants demonstrated moderate consistency with which listeners grouped affects that they perceived in music and affects they experienced while listening to music. The study suggests that affective responses to music are subject to individual differences in musical expertise and rumination. Affects perceived in music and felt in response to it seem to be categorized with reference to the common principles. However, the cues that are used in such instances of categorization seem to be different. The paper encourages further research on the importance of listeners’ personal characteristics for the affective responses to music. (shrink)

The article is devoted to the actual problem of historically grounded performance of Baroque vocal music by academic vocalists. Listening activity, the demand for ancient music in Russia raises issues for performers that need to be resolved within the framework of historical performance practice. To fulfill all the conditions, it becomes important to receive an appropriate specialized education. In Russia, little attention is paid to the professional training of academic vocalists in the field of historical singing or baroque (...) singing, whereas in Italy and Germany independent faculties of ancient music are intensively working, including, along with instrumentalists, the training of singers. The author reveals the features of the content and organization of the educational process in universities in Germany and Russia. The purpose of this article is to identify possible ways to form a solo academic singer of historical specialization. The methodological basis of the work consists of historical, analytical methods that reveal the topic from various angles. Using the example of a number of educational institutions that train specialists in the field of historical singing, such as the University of the Arts Bremen, the University of Music and Theatre “Felix Mendelssohn Bartholdy” Leipzig, the Cologne University of Music and the Nuremberg University of Music, the article presents a comparative analysis of curricula, examines the studied disciplines within various modules. The conclusion is made about the prospects of using the experience of foreign countries in the training of specialists in the field of baroque singing. (shrink)

"This innovative volume argues that any particular kind of music can only be understood in terms of the criteria of the group which makes and appreciates that music. This theme is in sharp contrast to established attitudes to music which utilize 'objectively' conceived aesthetic. These attitudes are revealed in the assumptions underlying most musicology and musical aesthetics including, perhaps paradoxically, the work of a number of cultural radicals such as Lukacs and Adorno. On a more practical level, (...) they manifest themselves both in music education policies and in the policies of arts and broadcasting administrators, who have the power to promote some kinds of music above others. (shrink)

Music is the carrier through which human beings express their emotions. It can clean up their hearts and seek emotional resonance. The combination of music and artificial intelligence, when music meets artificial intelligence, the mathematical logic part of data and algorithm replaces the image thinking, resulting in automatic music production. The basic principle of music creation is to use artificial intelligence technology to conduct in-depth training on a large number of songs, and then build a (...) database. Then, within a certain period of time, extract a segment from several songs, and then decompose it to form a new melody. The automatic music production is the collision of music and technology. With the flying of code and notes, it creates a different kind of beauty. Music culture is a new field of music application. With its refreshing audio-visual effect, it has made people have a new understanding of music and has become a hot topic in current mass cultural activities. The sound quality characteristics of music culture programs determine the characteristics of simple, fast and efficient design. However, the current audio and video design still stays in the traditional audio and video form design, with low design efficiency, long cycle, high cost and high requirements for designers. In view of the fact that the traditional audio and video design mode in China's music and cultural programs cannot meet the needs of performance programs at present, this paper proposes a design scheme of audio and visual effects of music and cultural programs with intelligent devices as the core, and develops a complete set of audio and visual effects aided design system on this basis. (shrink)

The increasing visibility and elevated status of musicians has become prominent in contemporary society as a consequence of technological advances and the development of both mass and specialized targeted audiences. Consequently, the actions of musicians are under greater levels of scrutiny and fans demand more from musicians than ‘just’ music. If the industry demands corporate social responsibility practices in a similar vein to how corporations promote themselves; a further question then remains regarding how the increasing prominence of such activities (...) by musicians influences music consumers and fans of individual bands and artists. The current research provides a foundation upon which to better understand the role that social responsibility plays for consumers of music. Consequently, the research has practical implications for promoting socially responsible consumption practices. The various public spaces that music consumption encompasses represent great opportunities in which ethical consumption practices can be promoted. We identify a number of factors that ultimately determine when socially responsible engagement in the music industry is supported, ignored, or even becomes the focus of consumer backlash. (shrink)

Numbers have been identified with symbolic data forever. The profound association of both with acoustics, music, and sonic art from Pythagoras to current work is beyond reproach. Recently, sonification looks for ways to realize symbolic data (representing results or measurements) as well as “raw” data (signals, impulses, images, etc.) into compositions. In the strictest sense, everything in a computer is symbolic, that is, represented by 0s and 1s. In the arts, the digital age has broadened and enhanced the (...) conceptual landscape not simply through its servitude to the creative process, but as its partner. However, there is a rich history of the use of data that no doubt has paved the way for many of today’s experiments including my own. (shrink)

In this work we present the complex relationship between sound and color in musical creation throughout history that continues to be fruitful in current musical composition. Synesthesia in music establishes a correspondence between sound and color and has been a constant debate since the 17th century. The complex nature of sound appears from ancient Greece in the school of Pythagoras in which the number becomes the configurator of harmony. Since then, different aesthetic attempts have arisen to relate color and (...) sound that reach today's electronic procedures in contemporary music. (shrink)