Neo-Riemannian Transformations and Prolongational Structures in Wagner's Parsifal Steven Scott Baker
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Riemann's Functional Framework for Extended Jazz Harmony James
Riemann’s Functional Framework for Extended Jazz Harmony James McGowan The I or tonic chord is the only chord which gives the feeling of complete rest or relaxation. Since the I chord acts as the point of rest there is generated in the other chords a feeling of tension or restlessness. The other chords therefore must 1 eventually return to the tonic chord if a feeling of relaxation is desired. Invoking several musical metaphors, Ricigliano’s comment could apply equally well to the tension and release of any tonal music, not only jazz. Indeed, such metaphors serve as essential points of departure for some extended treatises in music theory.2 Andrew Jaffe further associates “tonic,” “stability,” and “consonance,” when he states: “Two terms used to refer to the extremes of harmonic stability and instability within an individual chord or a chord progression are dissonance and consonance.”3 One should acknowledge, however, that to the non-jazz reader, reference to “tonic chord” implicitly means triad. This is not the case for Ricigliano, Jaffe, or numerous other writers of pedagogical jazz theory.4 Rather, in complete indifference to, ignorance of, or reaction against the common-practice principle that only triads or 1 Ricigliano 1967, 21. 2 A prime example, Berry applies the metaphor of “motion” to explore “Formal processes and element-actions of growth and decline” within different musical domains, in diverse stylistic contexts. Berry 1976, 6 (also see 111–2). An important precedent for Berry’s work in the metaphoric dynamism of harmony and other parameters is found in the writings of Kurth – particularly in his conceptions of “sensuous” and “energetic” harmony. -
Boston Symphony Orchestra Concert Programs, Season 17, 1897-1898
Metropolitan Opera House, New York. Boston Symphony Orchestra. Mr. EMIL PAUR, Conductor. Twelfth Season in New York. PROGRAMME OF THE Fifth and Last Concert THURSDAY EVENING, MARCH 24, AT 8.15 PRECISELY. With Historical and Descriptive Notes by William F. Apthorp. PUBLISHED BY C. A. ELLIS, MANAGER. (11 Steinway & Sons, Piano Manufacturers BY APPOINTMENT TO HIS MAJESTY, WILLIAM II., EMPEROR OF GERMANY. THE ROYAL COURT OF PRUSSIA. His Majesty, FRANCIS JOSEPH, Emperor of Austria. HER MAJESTY, THE QUEEN OF ENGLAND. Their Royal Highnesses, THE PRINCE AND PRINCESS OF WALES. THE DUKE OF EDINBURGH. His Majesty, UMBERTO I., the King of Italy. Her Majesty, THE QUEEN OF SPAIN. His Majesty, Emperor William II. of Germany, on June 13, 1893, also bestowed on our Mr William Stbinway the order of The Rkd Eagle, III. Class, an honor never before granted to a manufacturer The Royal Academy Of St. Ceecilia at Rome, Italy, founded by the celebrated composer Pales- trii a in 1584, has elected Mr. William Steinway an honorary member of that institution. The following it the translation of his diploma: — The Royal Academy of St. Ceecilia have, on account of his eminent merit in the domain of muse, and in conformitv to their Statutes, Article 12, solemnly decreed to receive William Stein- way into the number of their honorary members. Given at Rome, April 15, 1894, and in the three hundred and tenth year from the founding of the society. Albx Pansotti, Secretary. E. Di San Martino, President. ILLUSTRATED CATALOGUES MAILED FREE ON APPLICATION. STEINWAY & SONS, Warerooms, Steinway Hall, 107-111 East 14th St., New York. -
Perceived Triad Distance: Evidence Supporting the Psychological Reality of Neo-Riemannian Transformations Author(S): Carol L
Yale University Department of Music Perceived Triad Distance: Evidence Supporting the Psychological Reality of Neo-Riemannian Transformations Author(s): Carol L. Krumhansl Source: Journal of Music Theory, Vol. 42, No. 2, Neo-Riemannian Theory (Autumn, 1998), pp. 265-281 Published by: Duke University Press on behalf of the Yale University Department of Music Stable URL: http://www.jstor.org/stable/843878 . Accessed: 03/04/2013 14:34 Your use of the JSTOR archive indicates your acceptance of the Terms & Conditions of Use, available at . http://www.jstor.org/page/info/about/policies/terms.jsp . JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms of scholarship. For more information about JSTOR, please contact [email protected]. Duke University Press and Yale University Department of Music are collaborating with JSTOR to digitize, preserve and extend access to Journal of Music Theory. http://www.jstor.org This content downloaded from 128.84.127.82 on Wed, 3 Apr 2013 14:34:27 PM All use subject to JSTOR Terms and Conditions PERCEIVED TRIAD DISTANCE: EVIDENCE SUPPORTING THE PSYCHOLOGICAL REALITY OF NEO-RIEMANNIAN TRANSFORMATIONS CarolL. Krumhansl This articleexamines two sets of empiricaldata for the psychological reality of neo-Riemanniantransformations. Previous research (summa- rized, for example, in Krumhansl1990) has establishedthe influence of parallel, P, relative, R, and dominant, D, transformationson cognitive representationsof musical pitch. The present article considers whether empirical data also support the psychological reality of the Leitton- weschsel, L, transformation.Lewin (1982, 1987) began workingwith the D P R L family to which were added a few other diatonic operations. -
WAGNER and the VOLSUNGS None of Wagner’S Works Is More Closely Linked with Old Norse, and More Especially Old Icelandic, Culture
WAGNER AND THE VOLSUNGS None of Wagner’s works is more closely linked with Old Norse, and more especially Old Icelandic, culture. It would be carrying coals to Newcastle if I tried to go further into the significance of the incom- parable eddic poems. I will just mention that on my first visit to Iceland I was allowed to gaze on the actual manuscript, even to leaf through it . It is worth noting that Richard Wagner possessed in his library the same Icelandic–German dictionary that is still used today. His copy bears clear signs of use. This also bears witness to his search for the meaning and essence of the genuinely mythical, its very foundation. Wolfgang Wagner Introduction to the program of the production of the Ring in Reykjavik, 1994 Selma Gu›mundsdóttir, president of Richard-Wagner-Félagi› á Íslandi, pre- senting Wolfgang Wagner with a facsimile edition of the Codex Regius of the Poetic Edda on his eightieth birthday in Bayreuth, August 1999. Árni Björnsson Wagner and the Volsungs Icelandic Sources of Der Ring des Nibelungen Viking Society for Northern Research University College London 2003 © Árni Björnsson ISBN 978 0 903521 55 0 The cover illustration is of the eruption of Krafla, January 1981 (Photograph: Ómar Ragnarsson), and Wagner in 1871 (after an oil painting by Franz von Lenbach; cf. p. 51). Cover design by Augl‡singastofa Skaparans, Reykjavík. Printed by Short Run Press Limited, Exeter CONTENTS PREFACE ............................................................................................ 6 INTRODUCTION ............................................................................... 7 BRIEF BIOGRAPHY OF RICHARD WAGNER ............................ 17 CHRONOLOGY ............................................................................... 64 DEVELOPMENT OF GERMAN NATIONAL CONSCIOUSNESS ..68 ICELANDIC STUDIES IN GERMANY ......................................... -
Eberhard Kloke · Wieviel Programm Braucht Musik? Eberhard Kloke (* 1948 in Hamburg)
Eberhard Kloke · Wieviel Programm braucht Musik? Eberhard Kloke (* 1948 in Hamburg). Nach Kapellmeistertätigkeiten in Mainz, Darmstadt, Düsseldorf und Lübeck wurde Eberhard Kloke 1980 als Generalmusikdirektor nach Ulm berufen und ging 1983 in gleicher Position nach Freiburg im Breisgau. 1988 bis 1994 war er Generalmusikdirektor der Bochumer Symphoniker, und von 1993 bis 1998 übernahm er die Leitung der Nürnberger Oper und des Philharmonischen Orchesters Nürnberg. 1990 wurde Kloke mit dem Deutschen Kritikerpreis ausgezeichnet. Die Musik der Moderne bildet das Zentrum der künstlerischen Arbeit von Eberhard Kloke. In Freiburg, Bochum und Nürn- berg und von Berlin aus organisierte und leitete er großangelegte Zyklen mit zeitgenös- sischer Musik-Programmatik (Götterdämmerung_Maßstab und Gemessenes; Jakobsleiter, Ein deutscher Traum, Aufbrechen Amerika, Prometheus, Jenseits des Klanges). Seit 1998 lebt er als freiberuflicher Dirigent und Projektemacher in Berlin und gründete im Hinblick auf seine vielfältigen kulturellen Aktivitäten den Verein musikakzente 21. Seit 2001 erwei- terte sich das Arbeitsspektrum um kuratorische Aufgaben und kompositorische Heraus- forderungen. Wieviel Programm braucht Musik? Programm Musik-Konzept: Eine Zwischenbilanz 1980– 2010 Eberhard Kloke ISBN 978-3-89727-447-1 © 2010 by PFAU-Verlag, Saarbrücken Alle Rechte vorbehalten. Umschlaggestaltung: Sigrid Konrad, Saarbrücken Layout und Satz: Judy Hohl, Alexander Zuber Lektorat: Heinz-Klaus Metzger, Rainer Riehn Printed in Germany PFAU-Verlag · Hafenstr. 33 · D 66111 Saarbrücken www.pfau-verlag.de · www.pfau-music.com · [email protected] Wieviel Programm braucht Musik? Programm Musik-Konzept: Eine Zwischenbilanz 1980– 2010 4 Leitfaden für das Handbuch 8 Kapitel 1 Die Krise des Programmatischen Musik und ihr Programm in den öffentlichen Erscheinungsformen 14 Kapitel 2 Von der Expansion der Klangdistrikte Programm als musikalisches Konzept Übersicht zu den Kapiteln 3, 4 und 5: S. -
SCHOLARLY PROGRAM NOTES of SELECTED WORKS by LUDWIG VAN BEETHOVEN, RICHARD WAGNER, and JAMES STEPHENSON III Jeffrey Y
Southern Illinois University Carbondale OpenSIUC Research Papers Graduate School 5-2017 SCHOLARLY PROGRAM NOTES OF SELECTED WORKS BY LUDWIG VAN BEETHOVEN, RICHARD WAGNER, AND JAMES STEPHENSON III Jeffrey Y. Chow Southern Illinois University Carbondale, [email protected] Follow this and additional works at: http://opensiuc.lib.siu.edu/gs_rp CLOSING REMARKS In selecting music for this program, the works had instrumentation that fit with our ensemble, the Southern Illinois Sinfonietta, yet covering three major periods of music over just a little more than the past couple of centuries. As composers write more and more for a chamber ensemble like the musicians I have worked with to carry out this performance, it becomes more and more idiomatic for conductors like myself to explore their other compositions for orchestra, both small and large. Having performed my recital with musicians from both the within the Southern Illinois University Carbondale School of Music core and from the outside, this entire community has helped shaped my studies & my work as a graduate student here at Southern Illinois University Carbondale, bringing it all to a glorious end. Recommended Citation Chow, Jeffrey Y. "SCHOLARLY PROGRAM NOTES OF SELECTED WORKS BY LUDWIG VAN BEETHOVEN, RICHARD WAGNER, AND JAMES STEPHENSON III." (May 2017). This Article is brought to you for free and open access by the Graduate School at OpenSIUC. It has been accepted for inclusion in Research Papers by an authorized administrator of OpenSIUC. For more information, please contact [email protected]. -
An Introduction Via Perspectives on Consonant Triads
Introduction and Basics The Consonant Triad Geometry of Triads Extension of Neo-Riemannian Theory Symmetries of Triads What is Mathematical Music Theory? An Introduction via Perspectives on Consonant Triads Thomas M. Fiore http://www-personal.umd.umich.edu/~tmfiore/ Introduction and Basics The Consonant Triad Geometry of Triads Extension of Neo-Riemannian Theory Symmetries of Triads What is Mathematical Music Theory? Mathematical music theory uses modern mathematical structures to 1 analyze works of music (describe and explain them), 2 study, characterize, and reconstruct musical objects such as the consonant triad, the diatonic scale, the Ionian mode, the consonance/dissonance dichotomy... 3 compose 4 ... Introduction and Basics The Consonant Triad Geometry of Triads Extension of Neo-Riemannian Theory Symmetries of Triads What is Mathematical Music Theory? Mathematical music theory uses modern mathematical structures to 1 analyze works of music (describe and explain them), 2 study, characterize, and reconstruct musical objects such as the consonant triad, the diatonic scale, the Ionian mode, the consonance/dissonance dichotomy... 3 compose 4 ... Introduction and Basics The Consonant Triad Geometry of Triads Extension of Neo-Riemannian Theory Symmetries of Triads Levels of Musical Reality, Hugo Riemann There is a distinction between three levels of musical reality. Physical level: a tone is a pressure wave moving through a medium, “Ton” Psychological level: a tone is our experience of sound, “Tonempfindung” Intellectual level: a tone is a position in a tonal system, described in a syntactical meta-language, “Tonvorstellung”. Mathematical music theory belongs to this realm. Introduction and Basics The Consonant Triad Geometry of Triads Extension of Neo-Riemannian Theory Symmetries of Triads Work of Mazzola and Collaborators Mazzola, Guerino. -
From Schritte and Wechsel to Coxeter Groups 3
From Schritte and Wechsel to Coxeter Groups Markus Schmidmeier1 Abstract: The PLR-moves of neo-Riemannian theory, when considered as re- flections on the edges of an equilateral triangle, define the Coxeter group S3. The elements are in a natural one-to-one correspondence with the trianglese in the infinite Tonnetz. The left action of S3 on the Tonnetz gives rise to interest- ing chord sequences. We compare the systeme of transformations in S3 with the system of Schritte and Wechsel introduced by Hugo Riemann in 1880e . Finally, we consider the point reflection group as it captures well the transition from Riemann’s infinite Tonnetz to the finite Tonnetz of neo-Riemannian theory. Keywords: Tonnetz, neo-Riemannian theory, Coxeter groups. 1. PLR-moves revisited In neo-Riemannian theory, chord progressions are analyzed in terms of elementary moves in the Tonnetz. For example, the process of going from tonic to dominant (which differs from the tonic chord in two notes) is decomposed as a product of two elementary moves of which each changes only one note. The three elementary moves considered are the PLR-transformations; they map a major or minor triad to the minor or major triad adjacent to one of the edges of the triangle representing the chord in the Tonnetz. See [4] and [5]. C♯ G♯ .. .. .. .. ... ... ... ... ... PR ... ... PL ... A ................E ................ B′ .. .. R.. .. L .. .. ... ... ... ... ... ... ... LR ... ... ∗ ... ... RL ... ( ) ′ F′ ................C ................ G ................ D .. .. P .. .. ... ... ... ... ... LP ... ... RP ... A♭ ................E♭ ................ B♭′ arXiv:1901.05106v3 [math.CO] 4 Apr 2019 Figure 1. Triads in the vicinity of the C-E-G-chord Our paper is motivated by the observation that PLR-moves, while they provide a tool to measure distance between triads, are not continuous as operations on the Tonnetz: Let s be a sequence of PLR-moves. -
Diegeheimnissederformbeirich
Intégral 30 (2016) pp. 81–98 Die Geheimnisse der Form bei Richard Wagner: Structure and Drama as Elements of Wagnerian Form* by Matthew Bribitzer-Stull Abstract. Wagnerian operatic forms span a continuum. At one end lie the delin- eated, non-developmental, “structural” kinds of shapes, at the other the “formless” streams of music that arguably depend on the extra-musical for their continuity and coherence. In between we find musical processes that embody more of a senseof motion and development than the fixed structures, but that cohere without the need of a text or programme. In this article I attempt to illustrate this range by applying my analytic methodology to two contrasting examples, one leaning heavily toward the structural (the Todesverkündigung scene from Die Walküre Act II, Scene 4) and the other (the Act II, Scene 2 love duet from Tristan und Isolde) best understood as a musi- cal representation of the drama. The overarching point I make with this comparison is that the range of Wagnerian formal techniques is best served by a flexible, multi- valent analytic orientation. Keywords and phrases: Wagner, opera, form, Alfred Lorenz, Tristan und Isolde, Der Ring des Nibelungen, Die Walküre. Introduction Lorenz’s study was the first serious attempt to present the formal process of the Wagnerian Musikdrama in a system- nyone familiar with Alfred Lorenz’s exhaustive analyses of Der Ring des Nibelungen, Tristan und Isolde, atic, analytic way, an argument against the then-prevalent A 1 Die Meistersinger von Nürnberg, and Parsifal, published be- view that Wagner’s late music was formless. -
MTO 17.1: Fitzpatrick, Models and Music Theory
Volume 17, Number 1, April 2011 Copyright © 2011 Society for Music Theory Models and Music Theory: Reconsidering David Lewin’s Graph of the 3-2 Cohn Cycle Michael Fitzpatrick NOTE: The examples for the (text-only) PDF version of this item are available online at: http://www.mtosmt.org/issues/mto.11.17.1/mto.11.17.1.fitzpatrick.php REFERENCE: http://www.mtosmt.org/issues/mto.07.13.4/mto.07.13.4.reed_bain.html REFERENCE: http://www.mtosmt.org/issues/mto.07.13.3/mto.07.13.3.nolan.html KEYWORDS: Cohn functions, Cohn cycles, Iconic models, David Lewin, Reed and Bain ABSTRACT: Iconic models are ubiquitous in music theoretical literature. Their purpose is to illustrate and thereby concretize abstract theoretical concepts that would otherwise exist only in the imagination. Despite the prevalence of iconic models, we find few comprehensive analyses of how they serve this purpose and the conceptual mechanisms that relate models to their subjects. This commentary is a case study that compares two competing music theory models and raises some of the questions that arise when evaluating a particular model’s fit with its theoretical subject. Here, I examine Reed and Bain’s assertion that their Tonnetz design provides a more satisfactory depiction of the sc 3-2 Cohn cycle than David Lewin’s graphic network of the same. By relating the iconic components of each model with elements of the theory, I suggest that Lewin’s network corresponds more accurately to the sc 3-2 Cohn cycle than Reed and Bain’s Tonnetz. Received August 2010 Introduction [1] In a recent issue of this journal, Jacob Reed and Matthew Bain (2007) review David Lewin’s (1996, 1998) graphic network of the set-class (sc) 3-2 Cohn cycle and his analysis of J. -
A Tonnetz Model for Pentachords
A Tonnetz model for pentachords Luis A. Piovan KEYWORDS. neo-Riemann network, pentachord, contextual group, Tessellation, Poincaré disk, David Lewin, Charles Koechlin, Igor Stravinsky. ABSTRACT. This article deals with the construction of surfaces that are suitable for repre- senting pentachords or 5-pitch segments that are in the same T {I class. It is a generalization of the well known Öttingen-Riemann torus for triads of neo-Riemannian theories. Two pen- tachords are near if they differ by a particular set of contextual inversions and the whole contextual group of inversions produces a Tiling (Tessellation) by pentagons on the surfaces. A description of the surfaces as coverings of a particular Tiling is given in the twelve-tone enharmonic scale case. 1. Introduction The interest in generalizing the Öttingen-Riemann Tonnetz was felt after the careful analysis David Lewin made of Stockhausen’s Klavierstück III [25, Ch. 2], where he basically shows that the whole work is constructed with transformations upon the single pentachord xC,C#, D, D#, F #y. A tiled torus with equal tiles like the usual Tonnetz of Major and Minor triads is not possible by using pentagons (you cannot tile a torus or plane by regular convex pentagons). Therefore one is forced to look at other surfaces and fortunately there is an infinite set of closed surfaces where one can gather regular pentagonal Tilings. These surfaces (called hyperbolic) are distinguished by a single topological invariant: the genus or arXiv:1301.4255v1 [math.HO] 17 Jan 2013 number of holes the surface has (see Figure 8)1. The analysis2 of Schoenberg’s, Opus 23, Number 3, made clear the type of transfor- mations3 to be used. -
Programmheft Zum Download
PROGRAMM RICHARD WAGNER „Siegfried-Idyll“ WWV 103 (18 Min.) FRANZ SCHUBERT Rondo für Violine und Streicher A-Dur D 438 (15 Min.) Ermir Abeshi, Violine PETER TSCHAIKOWSKY Serenade für Streichorchester C-Dur op. 48 (30 Min.) Pezzo in forma di Sonatina. Andante non troppo – Allegro moderato Valse. Moderato Elegia. Larghetto elegiaco Finale (Tema russo). Andante – Allegro con spirito Sendetermin Radiokonzert live ab 11.04 Uhr auf SR 2 KulturRadio und auf Radio 100,7 Luxemburg. Danach auf drp-orchester.de und sr2.de 1 DAS GOLDENE TOR, ODER: DIE SCHÖNHEIT IN DER MUSIK Werke von Richard Wagner, Franz Schubert und Peter Tschaikowsky Die Nächte sind lang und dunkel, die Tage oft grau und kalt. Wie wichtig ist in solchen Wochen das Licht! Es scheint und wärmt vielleicht sogar ein bisschen, am Ende des Tunnels entdeckt, macht es uns Hoffnung. Und nur mit Licht können wir Schönheit sehen. Doch was ist schön? Was klingt schön? Ist das ruhige Schwingen schön, das sich in Richard Wagners „Siegfried-Idyll“ klangsinnlich ausbreitet? Ist es die ungetrübte Fröhlichkeit im Rondo A-Dur von Franz Schubert? Ist es das schwebende Walzer-Kreiseln in Peter Tschaikowskys Streicherserenade? Am Anfang war die Schönheit in der Natur. Betrachten wir zum Beispiel ein makelloses Ei: Kein Weltenschöpfer hat es designt, seine feine Form ist die evolutionäre Folge physikalischer Notwendigkeiten. Das Ei muss mit möglichst wenig Kalk möglichst stabil sein. Ähnlich effektiv wie Hühner ihre Eier legen, spinnen Spinnen ihre Netze. Welche schönen, regelmäßig- unregelmäßigen Strukturen sind da zu entdecken! Vor allem, wenn Tau im Gegenlicht an einem Spinnennetz perlt. Welche Klarheit in der Viel- falt! Oder die Haut von Schlangen; die Farben von Gefiedern; die Facetten eines Insektenauges! Schön wird in der Natur oft das, was nützlich ist.