Program and Abstracts for 2005 Meeting
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Advanced Schenkerian Analysis: Perspectives on Phrase Rhythm, Motive, and Form by David Beach
Advanced Schenkerian Analysis: Perspectives on Phrase Rhythm, Motive, and Form by David Beach. New York and London: Routledge, 2012.1 Review by David Carson Berry After Allen Forte’s and Steven Gilbert’s Introduction to Schenkerian Analysis was published in 1982, it effectively had the textbook market to itself for a decade (a much older book by Felix Salzer and a new translation of one by Oswald Jonas not withstanding).2 A relatively compact Guide to Schenkerian Analysis, by David Neumeyer and Susan Tepping, was issued in 1992;3 and in 1998 came Allen Cadwallader and David Gagné’s Analysis of Tonal Music: A Schenkerian Approach, which is today (in its third edition) the dominant text.4 Despite its ascendance, and the firm legacy of the Forte/Gilbert book, authors continue to crowd what is a comparatively small market within music studies. Steven Porter offered the interesting but dubiously named Schenker Made Simple in 1 Advanced Schenkerian Analysis: Perspectives on Phrase Rhythm, Motive, and Form, by David Beach. New York and London: Routledge, 2012; hardback, $150 (978-0- 415-89214-8), paperback, $68.95 (978-0-415-89215-5); xx, 310 pp. 2 Allen Forte and Steven E. Gilbert, Introduction to Schenkerian Analysis (New York: Norton, 1982). Felix Salzer’s book (Structural Hearing: Tonal Coherence in Music [New York: Charles Boni, 1952]), though popular in its time, was viewed askance by orthodox Schenkerians due to its alterations of core tenets, and it was growing increasingly out of favor with mainstream theorists by the 1980s (as evidenced by the well-known rebuttal of its techniques in Joseph N. -
Computational Methods for Tonality-Based Style Analysis of Classical Music Audio Recordings
Fakult¨at fur¨ Elektrotechnik und Informationstechnik Computational Methods for Tonality-Based Style Analysis of Classical Music Audio Recordings Christof Weiß geboren am 16.07.1986 in Regensburg Dissertation zur Erlangung des akademischen Grades Doktoringenieur (Dr.-Ing.) Angefertigt im: Fachgebiet Elektronische Medientechnik Institut fur¨ Medientechnik Fakult¨at fur¨ Elektrotechnik und Informationstechnik Gutachter: Prof. Dr.-Ing. Dr. rer. nat. h. c. mult. Karlheinz Brandenburg Prof. Dr. rer. nat. Meinard Muller¨ Prof. Dr. phil. Wolfgang Auhagen Tag der Einreichung: 25.11.2016 Tag der wissenschaftlichen Aussprache: 03.04.2017 urn:nbn:de:gbv:ilm1-2017000293 iii Acknowledgements This thesis could not exist without the help of many people. I am very grateful to everybody who supported me during the work on my PhD. First of all, I want to thank Prof. Karlheinz Brandenburg for supervising my thesis but also, for the opportunity to work within a great team and a nice working enviroment at Fraunhofer IDMT in Ilmenau. I also want to mention my colleagues of the Metadata department for having such a friendly atmosphere including motivating scientific discussions, musical activity, and more. In particular, I want to thank all members of the Semantic Music Technologies group for the nice group climate and for helping with many things in research and beyond. Especially|thank you Alex, Ronny, Christian, Uwe, Estefan´ıa, Patrick, Daniel, Ania, Christian, Anna, Sascha, and Jakob for not only having a prolific working time in Ilmenau but also making friends there. Furthermore, I want to thank several students at TU Ilmenau who worked with me on my topic. Special thanks go to Prof. -
Schenkerian Analysis in the Modern Context of the Musical Analysis
Mathematics and Computers in Biology, Business and Acoustics THE SCHENKERIAN ANALYSIS IN THE MODERN CONTEXT OF THE MUSICAL ANALYSIS ANCA PREDA, PETRUTA-MARIA COROIU Faculty of Music Transilvania University of Brasov 9 Eroilor Blvd ROMANIA [email protected], [email protected] Abstract: - Music analysis represents the most useful way of exploration and innovation of musical interpretations. Performers who use music analysis efficiently will find it a valuable method for finding the kind of musical richness they desire in their interpretations. The use of Schenkerian analysis in performance offers a rational basis and an unique way of interpreting music in performance. Key-Words: - Schenkerian analysis, structural hearing, prolongation, progression,modernity. 1 Introduction Even in a simple piece of piano music, the ear Musical analysis is a musicological approach in hears a vast number of notes, many of them played order to determine the structural components of a simultaneously. The situation is similar to that found musical text, the technical development of the in language. Although music is quite different to discourse, the morphological descriptions and the spoken language, most listeners will still group the understanding of the meaning of the work. Analysis different sounds they hear into motifs, phrases and has complete autonomy in the context of the even longer sections. musicological disciplines as the music philosophy, Schenker was not afraid to criticize what he saw the musical aesthetics, the compositional technique, as a general lack of theoretical and practical the music history and the musical criticism. understanding amongst musicians. As a dedicated performer, composer, teacher and editor of music himself, he believed that the professional practice of 2 Problem Formulation all these activities suffered from serious misunderstandings of how tonal music works. -
Unified Music Theories for General Equal-Temperament Systems
Unified Music Theories for General Equal-Temperament Systems Brandon Tingyeh Wu Research Assistant, Research Center for Information Technology Innovation, Academia Sinica, Taipei, Taiwan ABSTRACT Why are white and black piano keys in an octave arranged as they are today? This article examines the relations between abstract algebra and key signature, scales, degrees, and keyboard configurations in general equal-temperament systems. Without confining the study to the twelve-tone equal-temperament (12-TET) system, we propose a set of basic axioms based on musical observations. The axioms may lead to scales that are reasonable both mathematically and musically in any equal- temperament system. We reexamine the mathematical understandings and interpretations of ideas in classical music theory, such as the circle of fifths, enharmonic equivalent, degrees such as the dominant and the subdominant, and the leading tone, and endow them with meaning outside of the 12-TET system. In the process of deriving scales, we create various kinds of sequences to describe facts in music theory, and we name these sequences systematically and unambiguously with the aim to facilitate future research. - 1 - 1. INTRODUCTION Keyboard configuration and combinatorics The concept of key signatures is based on keyboard-like instruments, such as the piano. If all twelve keys in an octave were white, accidentals and key signatures would be meaningless. Therefore, the arrangement of black and white keys is of crucial importance, and keyboard configuration directly affects scales, degrees, key signatures, and even music theory. To debate the key configuration of the twelve- tone equal-temperament (12-TET) system is of little value because the piano keyboard arrangement is considered the foundation of almost all classical music theories. -
Detecting Harmonic Change in Musical Audio
Detecting Harmonic Change In Musical Audio Christopher Harte and Mark Sandler Martin Gasser Centre for Digital Music Austrian Research Institute for Artificial Queen Mary, University of London Intelligence(OF¨ AI) London, UK Freyung 6/6, 1010 Vienna, Austria [email protected] [email protected] ABSTRACT We propose a novel method for detecting changes in the harmonic content of musical audio signals. Our method uses a new model for Equal Tempered Pitch Class Space. This model maps 12-bin chroma vectors to the interior space of a 6-D polytope; pitch classes are mapped onto the vertices of this polytope. Close harmonic relations such as fifths and thirds appear as small Euclidian distances. We calculate the Euclidian distance between analysis frames n + 1 and n − 1 to develop a harmonic change measure for frame n. A peak in the detection function denotes a transi- tion from one harmonically stable region to another. Initial experiments show that the algorithm can successfully detect harmonic changes such as chord boundaries in polyphonic audio recordings. Categories and Subject Descriptors J.0 [Computer Applications]: General General Terms Figure 1: Flow Diagram of HCDF System. Algorithms, Theory has many potential applications in the segmentation of au- dio signals, particularly as a preprocessing stage for further Keywords harmonic recognition and classification algorithms. The pri- Pitch Space, Harmonic, Segmentation, Music, Audio mary motivation for this work is for use in chord recogni- tion from audio. Used as a segmentation algorithm, this approach provides a good foundation for solving the general 1. INTRODUCTION chord recognition problem of needing to know the positions In this paper we introduce a novel process for detect- of chord boundaries in the audio data before being able to ing changes in the harmonic content of audio signals. -
Mto.99.5.2.Soderberg
Volume 5, Number 2, March 1999 Copyright © 1999 Society for Music Theory Stephen Soderberg REFERENCE: MTO Vol. 4, No. 3 KEYWORDS: John Clough, Jack Douthett, David Lewin, maximally even set, microtonal music, hyperdiatonic system, Riemann system ABSTRACT: This article is a continuation of White Note Fantasy, Part I, published in MTO Vol. 4, No. 3 (May 1998). Part II combines some of the work done by others on three fundamental aspects of diatonic systems: underlying scale structure, harmonic structure, and basic voice leading. This synthesis allows the recognition of select hyperdiatonic systems which, while lacking some of the simple and direct character of the usual (“historical”) diatonic system, possess a richness and complexity which have yet to be fully exploited. II. A Few Hypertonal Variations 5. Necklaces 6. The usual diatonic as a model for an abstract diatonic system 7. An abstract diatonic system 8. Riemann non-diatonic systems 9. Extension of David Lewin’s Riemann systems References 5. Necklaces [5.1] Consider a symmetric interval string of cardinality n = c+d which contains c interval i’s and d interval j’s. If the i’s and j’s in such a string are additionally spaced as evenly apart from one another as possible, we will call this string a “necklace.” If s is a string in Cn and p is an element of Cn, then the structure ps is a “necklace set.” Thus <iijiij>, <ijijij>, and <ijjijjjijjj> are necklaces, but <iijjii>, <jiijiij>, and <iijj>, while symmetric, are not necklaces. i and j may also be equal, so strings of the 1 of 18 form <iii...> are valid necklaces. -
Melodies in Space: Neural Processing of Musical Features A
Melodies in space: Neural processing of musical features A DISSERTATION SUBMITTED TO THE FACULTY OF THE GRADUATE SCHOOL OF THE UNIVERSITY OF MINNESOTA BY Roger Edward Dumas IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE DEGREE OF DOCTOR OF PHILOSOPHY Dr. Apostolos P. Georgopoulos, Adviser Dr. Scott D. Lipscomb, Co-adviser March 2013 © Roger Edward Dumas 2013 Table of Contents Table of Contents .......................................................................................................... i Abbreviations ........................................................................................................... xiv List of Tables ................................................................................................................. v List of Figures ............................................................................................................. vi List of Equations ...................................................................................................... xiii Chapter 1. Introduction ............................................................................................ 1 Melody & neuro-imaging .................................................................................................. 1 The MEG signal ................................................................................................................................. 3 Background ........................................................................................................................... 6 Melodic pitch -
Appendix A: Mathematical Preliminaries
Appendix A: Mathematical Preliminaries Definition A1. Cartesian Product Let X and Y be two non-empty sets. The Cartesian product of X and Y, denoted X Â Y, is the set of all ordered pairs, a member of X followed by a member of Y. That is, ÈÉ X Â Y ¼ ðÞx, y x 2 X, y ∈ Y : Example A2. Let X ¼ {0, 1}, Y ¼ {x, y, z}. Then the Cartesian product X Â Y of X and Y is fgðÞ0, x ,0,ðÞy ,0,ðÞz ,1,ðÞx ,1,ðÞy ,1,ðÞz : Definition A3. Relation Let X and Y be two non-empty sets. A subset of X Â Y is a relation from X to Y; a subset of X Â X is a relation in X. Example A4. Let X ¼ {0, 1}, Y ¼ {x, y, z}. Then ÈÉÀ Á À Á À Á R ¼ ðÞ0, x , 1, x , 1, y , 1, z , R0 ¼ ∅, are relations from X to Y.(R0 is a relation because the empty set ∅ is a subset of every set.) Moreover, R00 ¼ fgðÞ0, 0 ,1,0ðÞ,1,1ðÞ is a relation in X. Definition A5. Function Let X and Y be two non-empty sets. E. Agmon, The Languages of Western Tonality, Computational Music Science, 265 DOI 10.1007/978-3-642-39587-1, © Springer-Verlag Berlin Heidelberg 2013 266 Appendix A: Mathematical Preliminaries A function f from X into Y is a subset of X Â Y (i.e., a relation from X to Y) with the following property. For every x ∈ X, there exists exactly one y ∈ Y, such that (x, y) ∈ f. -
Music and Operations Research - the Perfect Match?
This article grew out of an invited lecture at the University of Massachusetts, Amherst, Operations Research / Management Science Seminar Series organized by Anna Nagurney, 2005-2006 fellow at the Radcliffe Institute for Advanced Study, and the UMass - Amherst INFORMS Student Chapter. Music and Operations Research - The Perfect Match? By Elaine Chew Operations research (OR) is a field that prides itself in its be a musical Google, whereby one could retrieve music files by versatility in the mathematical modeling of complex problems to humming a melody or by providing an audio sample. find optimal or feasible solutions. It should come as no surprise Beyond such industrial interests in mathematical and that OR has much to offer in terms of solving problems in music computational modeling of music, such approaches to solving problems composition, analysis, and performance. Operations researchers in music analysis and in music making have their own scientific and have tackled problems in areas ranging from airline yield intellectual merit as a natural progression in the evolution of the management and computational finance, to computational disciplines of musicology, music theory, performance, composition, and biology and radiation oncology, to computational linguistics, and improvisation. Formal models of human capabilities in creating, in eclectic applications such as diet formulation, sports strategies analyzing, and reproducing music serve to further knowledge in human and chicken dominance behavior, so why not music? perception and cognition, and advance the state of the art in psychology I am an operations researcher and a musician. Over the past ten and neuroscience. By modeling music making and analysis, we gain a years, I have devoted much time to exploring, and building a career at, deeper understanding of the levels and kinds of human creativity the interface between music and operations research. -
Analyzing Fugue: a Schenkerian Approach by William Renwick
Analyzing Fugue: A Schenkerian Approach by William Renwick. Harmonologia Series No. 8 (edited by Joel Lester). Stuyvesant, New York: Pendragon Press, 1995. Review by Robert Gauldin In recent years focus has tended to shift from Heinrich Schenker's canonical principles of hierarchical voice leading to his comments on musical form, as formulated in the final section of Der freie Satz.1 While Schenker's middleground and background levels are eminently suited for revealing the tonal structure of such designs as ternary and sonata, their application to other formal genres raises certain questions.2 Aside from his essay on organicism in the fugue, which deals with the C Minor fugue in WTC I, Schenker rarely ventured into contrapuntal genres.3 In fact, only a handful of fugal analyses exist in subsequent Schenkerian literature.4 It is ^See his Free Composition. 2 vols. Translated and edited by Ernst Oster. (New York: Longman, 1979), 1:128-45. ^In this regard, Joel Garland and Charles Smith have recently explored spe- cific aspects of rondo and variation form, respectively. See Garland's "Form, Genre, and Style in the Eighteenth-Century Rondo," Music Theory Spectrum 17/1 (Spring 1995), 27-52, and Smith's "Head-Tones, Mediants, Reprises: A Formal Narrative of Brahms' Handel Variations," paper deliv- ered at the Eastman School of Music, March 1995. In the latter, interest centers around^ Variation 21, where the original Urlinie 3-2-1 in Bb major is now set as 5-4-3 in the relative minor key. A similar problem of Urlinie reinterpretation occurs in Brahms' Haydn Variations Op. -
The Piano Improvisations of Chick Corea: an Analytical Study
Louisiana State University LSU Digital Commons LSU Historical Dissertations and Theses Graduate School 1996 The iP ano Improvisations of Chick Corea: An Analytical Study. Daniel Alan Duke Louisiana State University and Agricultural & Mechanical College Follow this and additional works at: https://digitalcommons.lsu.edu/gradschool_disstheses Recommended Citation Duke, Daniel Alan, "The iP ano Improvisations of Chick Corea: An Analytical Study." (1996). LSU Historical Dissertations and Theses. 6334. https://digitalcommons.lsu.edu/gradschool_disstheses/6334 This Dissertation is brought to you for free and open access by the Graduate School at LSU Digital Commons. It has been accepted for inclusion in LSU Historical Dissertations and Theses by an authorized administrator of LSU Digital Commons. For more information, please contact [email protected]. INFORMATION TO USERS This manuscript has been reproduced from the microfilm master. UMI films the te d directly fi-om the original or copy submitted. Thus, some thesis and dissertation copies are in typewriter face, while others may be from any type of computer printer. The quality of this reproduction is dependent upon the quality of the copy submitted. Broken or indistinct print, colored or poor quality illustrations and photographs, print bleedthrough, substandard margins, and improper alignment can adversely affect reproduction. In the unlikely event that the author did not send UMI a complete manuscript and there are missing pages, these will be noted. Also, if unauthorized copyright material had to be removed, a note will indicate the deletion. Oversize materials (e.g., maps, drawings, charts) are reproduced by sectioning the original, beginning at the upper left-hand comer and continuing from left to right in equal sections with small overlaps. -
The University of Chicago an Experience-Oriented
THE UNIVERSITY OF CHICAGO AN EXPERIENCE-ORIENTED APPROACH TO ANALYZING STRAVINSKY’S NEOCLASSICISM A DISSERTATION SUBMITTED TO THE FACULTY OF THE DIVISION OF THE HUMANITIES IN CANDIDACY FOR THE DEGREE OF DOCTOR OF PHILOSOPHY DEPARTMENT OF MUSIC BY SARAH MARIE IKER CHICAGO, ILLINOIS AUGUST 2017 CONTENTS List of Figures ...................................................................................................................................... iv List of Tables ..................................................................................................................................... viii Acknowledgments ............................................................................................................................... ix Abstract .................................................................................................................................................. x Introduction: Analysis, Experience, and Experience-Oriented Analysis ..................................... 1 1 Neoclassicism, Analysis, and Experience ................................................................................ 10 1.1 Neoclassicism After the Great War ................................................................................. 10 1.2 Analyzing Neoclassicism: Problems and Solutions ....................................................... 18 1.3 Whence Listener Experience? ........................................................................................... 37 1.4 The Problem of Historicism ............................................................................................