Tonal Atonality: an Analysis of Samuel Barber's "Nocturne Op. 33" Nathan C
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4. Non-Heptatonic Modes
Tagg: Everyday Tonality II — 4. Non‐heptatonic modes 151 4. Non‐heptatonic modes If modes containing seven different scale degrees are heptatonic, eight‐note modes are octatonic, six‐note modes hexatonic, those with five pentatonic, while four‐ and three‐note modes are tetratonic and tritonic. Now, even though the most popular pentatonic modes are sometimes called ‘gapped’ because they contain two scale steps larger than those of the ‘church’ modes of Chapter 3 —doh ré mi sol la and la doh ré mi sol, for example— they are no more incomplete FFBk04Modes2.fm. 2014-09-14,13:57 or empty than the octatonic start to example 70 can be considered cluttered or crowded.1 Ex. 70. Vigneault/Rochon (1973): Je chante pour (octatonic opening phrase) The point is that the most widespread convention for numbering scale degrees (in Europe, the Arab world, India, Java, China, etc.) is, as we’ve seen, heptatonic. So, when expressions like ‘thirdless hexatonic’ occur in this chapter it does not imply that the mode is in any sense deficient: it’s just a matter of using a quasi‐global con‐ vention to designate a particular trait of the mode. Tritonic and tetratonic Tritonic and tetratonic tunes are common in many parts of the world, not least in traditional music from Micronesia and Poly‐ nesia, as well as among the Māori, the Inuit, the Saami and Native Americans of the great plains.2 Tetratonic modes are also found in Christian psalm and response chanting (ex. 71), while the sound of children chanting tritonic taunts can still be heard in playgrounds in many parts of the world (ex. -
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. -
Development of Musical Scales in Europe
RABINDRA BHARATI UNIVERSITY VOCAL MUSIC DEPARTMENT COURSE - B.A. ( Compulsory Course ) (CBCS) 2020 Semester - II , Paper - I Teacher - Sri Partha Pratim Bhowmik History of Western Music Development of musical scales in Europe In the 8th century B.C., The musical atmosphere of ancient Greece introduced its development by the influence of then popular aristocratic music. That music was melody- based and the root of that music was rural folk-songs. In each and every country, the development of music was rooted in the folk-songs. The European Aristocratic Music of the Christian Era had been inspired by the developed Greek music. In the 5th century B.C. the renowned Greek Mathematician Pythagoras had first established a relation between science and music. Before him, the scale of Greek music was pentatonic. Pythagoras changed the scale into hexatonic pattern and later into heptatonic pattern. Greek musicians applied the alphabets to indicate the notes of their music. For the natural notes they used the alphabets in normal position and for the deformed notes, the alphabets turned upside down [deformed notes= Vikrita svaras]. The musical instruments, they had invented are – Aulos, Salpinx, pan-pipes, harp, lyre, syrinx etc. In the western music, the term ‘scale’ is derived from Latin word ‘scala’, ie, the ladder; scale means an ascent or descent formation of the musical notes. Each and every scale has a starting note, called ‘tonic note’ [‘tone - tonic’ not the Health-Tonic]. In the Ancient Greece, the musical scale had been formed with the help of lyre , a string instrument, having normally 5 or 6 or 7 strings. -
Chopin's Nocturne Op. 27, No. 2 As a Contribution to the Violist's
Louisiana State University LSU Digital Commons LSU Doctoral Dissertations Graduate School 2014 A tale of lovers : Chopin's Nocturne Op. 27, No. 2 as a contribution to the violist's repertory Rafal Zyskowski Louisiana State University and Agricultural and Mechanical College, [email protected] Follow this and additional works at: https://digitalcommons.lsu.edu/gradschool_dissertations Part of the Music Commons Recommended Citation Zyskowski, Rafal, "A tale of lovers : Chopin's Nocturne Op. 27, No. 2 as a contribution to the violist's repertory" (2014). LSU Doctoral Dissertations. 3366. https://digitalcommons.lsu.edu/gradschool_dissertations/3366 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 Doctoral Dissertations by an authorized graduate school editor of LSU Digital Commons. For more information, please [email protected]. A TALE OF LOVERS: CHOPIN’S NOCTURNE OP. 27, NO. 2 AS A CONTRIBUTION TO THE VIOLIST’S REPERTORY A Dissertation Submitted to the Graduate Faculty of the Louisiana State University and Agricultural and Mechanical College in partial fulfillment of the requirements for the degree of Doctor of Musical Arts in The School of Music by Rafal Zyskowski B.M., Louisiana State University, 2008 M.M., Indiana University, 2010 May 2014 ©2014 Rafal Zyskowski All rights reserved ii Dedicated to Ms. Dorothy Harman, my best friend ever iii ACKNOWLEDGMENTS As always in life, the final outcome of our work results from a contribution that was made in one way or another by a great number of people. Thus, I want to express my gratitude to at least some of them. -
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. -
Models of Octatonic and Whole-Tone Interaction: George Crumb and His Predecessors
Models of Octatonic and Whole-Tone Interaction: George Crumb and His Predecessors Richard Bass Journal of Music Theory, Vol. 38, No. 2. (Autumn, 1994), pp. 155-186. Stable URL: http://links.jstor.org/sici?sici=0022-2909%28199423%2938%3A2%3C155%3AMOOAWI%3E2.0.CO%3B2-X Journal of Music Theory is currently published by Yale University Department of Music. Your use of the JSTOR archive indicates your acceptance of JSTOR's Terms and Conditions of Use, available at http://www.jstor.org/about/terms.html. JSTOR's Terms and Conditions of Use provides, in part, that unless you have obtained prior permission, you may not download an entire issue of a journal or multiple copies of articles, and you may use content in the JSTOR archive only for your personal, non-commercial use. Please contact the publisher regarding any further use of this work. Publisher contact information may be obtained at http://www.jstor.org/journals/yudm.html. Each copy of any part of a JSTOR transmission must contain the same copyright notice that appears on the screen or printed page of such transmission. The JSTOR Archive is a trusted digital repository providing for long-term preservation and access to leading academic journals and scholarly literature from around the world. The Archive is supported by libraries, scholarly societies, publishers, and foundations. It is an initiative of JSTOR, a not-for-profit organization with a mission to help the scholarly community take advantage of advances in technology. For more information regarding JSTOR, please contact [email protected]. http://www.jstor.org Mon Jul 30 09:19:06 2007 MODELS OF OCTATONIC AND WHOLE-TONE INTERACTION: GEORGE CRUMB AND HIS PREDECESSORS Richard Bass A bifurcated view of pitch structure in early twentieth-century music has become more explicit in recent analytic writings. -
Nora-Louise Müller the Bohlen-Pierce Clarinet An
Nora-Louise Müller The Bohlen-Pierce Clarinet An Introduction to Acoustics and Playing Technique The Bohlen-Pierce scale was discovered in the 1970s and 1980s by Heinz Bohlen and John R. Pierce respectively. Due to a lack of instruments which were able to play the scale, hardly any compositions in Bohlen-Pierce could be found in the past. Just a few composers who work in electronic music used the scale – until the Canadian woodwind maker Stephen Fox created a Bohlen-Pierce clarinet, instigated by Georg Hajdu, professor of multimedia composition at Hochschule für Musik und Theater Hamburg. Hence the number of Bohlen- Pierce compositions using the new instrument is increasing constantly. This article gives a short introduction to the characteristics of the Bohlen-Pierce scale and an overview about Bohlen-Pierce clarinets and their playing technique. The Bohlen-Pierce scale Unlike the scales of most tone systems, it is not the octave that forms the repeating frame of the Bohlen-Pierce scale, but the perfect twelfth (octave plus fifth), dividing it into 13 steps, according to various mathematical considerations. The result is an alternative harmonic system that opens new possibilities to contemporary and future music. Acoustically speaking, the octave's frequency ratio 1:2 is replaced by the ratio 1:3 in the Bohlen-Pierce scale, making the perfect twelfth an analogy to the octave. This interval is defined as the point of reference to which the scale aligns. The perfect twelfth, or as Pierce named it, the tritave (due to the 1:3 ratio) is achieved with 13 tone steps. -
The Order of Numbers in the Second Viennese School of Music
The order of numbers in the Second Viennese School of Music Carlota Sim˜oes Department of Mathematics University of Coimbra Portugal Mathematics and Music seem nowadays independent areas of knowledge. Nevertheless, strong connections exist between them since ancient times. Twentieth-century music is no exception, since in many aspects it admits an obvious mathematical formalization. In this article some twelve-tone music rules, as created by Schoenberg, are presented and translated into math- ematics. The representation obtained is used as a tool in the analysis of some compositions by Schoenberg, Berg, Webern (the Second Viennese School) and also by Milton Babbitt (a contemporary composer born in 1916). The Second Viennese School of Music The 12-tone music was condemned by the Nazis (and forbidden in the occupied Europe) because its author was a Jew; by the Stalinists for having a bourgeois cosmopolitan formalism; by the public for being different from everything else. Roland de Cand´e[2] Arnold Schoenberg (1874-1951) was born in Vienna, in a Jewish family. He lived several years in Vienna and in Berlin. In 1933, forced to leave the Academy of Arts of Berlin, he moved to Paris and short after to the United States. He lived in Los Angeles from 1934 until the end of his life. In 1923 Schoenberg presented the twelve-tone music together with a new composition method, also adopted by Alban Berg (1885-1935) and Anton Webern (1883-1945), his students since 1904. The three composers were so closely associated that they became known as the Second Viennese School of Music. -
Barber Piano Sonata in E-Flat Minor, Opus 26
Barber Piano Sonata In E-flat Minor, Opus 26 Comparative Survey: 29 performances evaluated, September 2014 Samuel Barber (1910 - 1981) is most famous for his Adagio for Strings which achieved iconic status when it was played at F.D.R’s funeral procession and at subsequent solemn occasions of state. But he also wrote many wonderful songs, a symphony, a dramatic Sonata for Cello and Piano, and much more. He also contributed one of the most important 20th Century works written for the piano: The Piano Sonata, Op. 26. Written between 1947 and 1949, Barber’s Sonata vies, in terms of popularity, with Copland’s Piano Variations as one of the most frequently programmed and recorded works by an American composer. Despite snide remarks from Barber’s terminally insular academic contemporaries, the Sonata has been well received by audiences ever since its first flamboyant premier by Vladimir Horowitz. Barber’s unique brand of mid-20th Century post-romantic modernism is in full creative flower here with four well-contrasted movements that offer a full range of textures and techniques. Each of the strongly characterized movements offers a corresponding range of moods from jagged defiance, wistful nostalgia and dark despondency, to self-generating optimism, all of which is generously wrapped with Barber’s own soaring lyricism. The first movement, Allegro energico, is tough and angular, the most ‘modern’ of the movements in terms of aggressive dissonance. Yet it is not unremittingly pugilistic, for Barber provides the listener with alternating sections of dreamy introspection and moments of expansive optimism. The opening theme is stern and severe with jagged and dotted rhythms that give a sense of propelling physicality of gesture and a mood of angry defiance. -
Kostka, Stefan
TEN Classical Serialism INTRODUCTION When Schoenberg composed the first twelve-tone piece in the summer of 192 1, I the "Pre- lude" to what would eventually become his Suite, Op. 25 (1923), he carried to a conclusion the developments in chromaticism that had begun many decades earlier. The assault of chromaticism on the tonal system had led to the nonsystem of free atonality, and now Schoenberg had developed a "method [he insisted it was not a "system"] of composing with twelve tones that are related only with one another." Free atonality achieved some of its effect through the use of aggregates, as we have seen, and many atonal composers seemed to have been convinced that atonality could best be achieved through some sort of regular recycling of the twelve pitch class- es. But it was Schoenberg who came up with the idea of arranging the twelve pitch classes into a particular series, or row, th at would remain essentially constant through- out a composition. Various twelve-tone melodies that predate 1921 are often cited as precursors of Schoenberg's tone row, a famous example being the fugue theme from Richard Strauss's Thus Spake Zararhustra (1895). A less famous example, but one closer than Strauss's theme to Schoenberg'S method, is seen in Example IO-\. Notice that Ives holds off the last pitch class, C, for measures until its dramatic entrance in m. 68. Tn the music of Strauss and rves th e twelve-note theme is a curiosity, but in the mu sic of Schoenberg and his fo ll owers the twelve-note row is a basic shape that can be presented in four well-defined ways, thereby assuring a certain unity in the pitch domain of a composition. -
Rachmaninoff's Early Piano Works and the Traces of Chopin's Influence
Rachmaninoff’s Early Piano works and the Traces of Chopin’s Influence: The Morceaux de Fantaisie, Op.3 & The Moments Musicaux, Op.16 A document submitted to the Graduate School of the University of Cincinnati in partial fulfillment of the requirements for the degree of Doctor of Musical Arts in the Division of Keyboard Studies of the College-Conservatory of Music by Sanghie Lee P.D., Indiana University, 2011 B.M., M.M., Yonsei University, Korea, 2007 Committee Chair: Jonathan Kregor, Ph.D. Abstract This document examines two of Sergei Rachmaninoff’s early piano works, Morceaux de Fantaisie, Op.3 (1892) and Moments Musicaux, Opus 16 (1896), as they relate to the piano works of Frédéric Chopin. The five short pieces that comprise Morceaux de Fantaisie and the six Moments Musicaux are reminiscent of many of Chopin’s piano works; even as the sets broadly build on his character genres such as the nocturne, barcarolle, etude, prelude, waltz, and berceuse, they also frequently are modeled on or reference specific Chopin pieces. This document identifies how Rachmaninoff’s sets specifically and generally show the influence of Chopin’s style and works, while exploring how Rachmaninoff used Chopin’s models to create and present his unique compositional identity. Through this investigation, performers can better understand Chopin’s influence on Rachmaninoff’s piano works, and therefore improve their interpretations of his music. ii Copyright © 2018 by Sanghie Lee All rights reserved iii Acknowledgements I cannot express my heartfelt gratitude enough to my dear teacher James Tocco, who gave me devoted guidance and inspirational teaching for years. -
Pitch-Class Set Theory: an Overture
Chapter One Pitch-Class Set Theory: An Overture A Tale of Two Continents In the late afternoon of October 24, 1999, about one hundred people were gathered in a large rehearsal room of the Rotterdam Conservatory. They were listening to a discussion between representatives of nine European countries about the teaching of music theory and music analysis. It was the third day of the Fourth European Music Analysis Conference.1 Most participants in the conference (which included a number of music theorists from Canada and the United States) had been looking forward to this session: meetings about the various analytical traditions and pedagogical practices in Europe were rare, and a broad survey of teaching methods was lacking. Most felt a need for information from beyond their country’s borders. This need was reinforced by the mobility of music students and the resulting hodgepodge of nationalities at renowned conservatories and music schools. Moreover, the European systems of higher education were on the threshold of a harmoni- zation operation. Earlier that year, on June 19, the governments of 29 coun- tries had ratifi ed the “Bologna Declaration,” a document that envisaged a unifi ed European area for higher education. Its enforcement added to the urgency of the meeting in Rotterdam. However, this meeting would not be remembered for the unusually broad rep- resentation of nationalities or for its political timeliness. What would be remem- bered was an incident which took place shortly after the audience had been invited to join in the discussion. Somebody had raised a question about classroom analysis of twentieth-century music, a recurring topic among music theory teach- ers: whereas the music of the eighteenth and nineteenth centuries lent itself to general analytical methodologies, the extremely diverse repertoire of the twen- tieth century seemed only to invite ad hoc approaches; how could the analysis of 1.