Tonality and Modulation
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John Corigliano's Fantasia on an Ostinato, Miguel Del Aguila's Conga for Piano, and William Bolcom's Nine New Bagatelles
Graduate Theses, Dissertations, and Problem Reports 2016 Pedagogical and Performance Aspects of Three American Compositions for Solo Piano: John Corigliano's Fantasia on an Ostinato, Miguel del Aguila's Conga for Piano, and William Bolcom's Nine New Bagatelles Tse Wei Chai Follow this and additional works at: https://researchrepository.wvu.edu/etd Recommended Citation Chai, Tse Wei, "Pedagogical and Performance Aspects of Three American Compositions for Solo Piano: John Corigliano's Fantasia on an Ostinato, Miguel del Aguila's Conga for Piano, and William Bolcom's Nine New Bagatelles" (2016). Graduate Theses, Dissertations, and Problem Reports. 5331. https://researchrepository.wvu.edu/etd/5331 This Dissertation is protected by copyright and/or related rights. It has been brought to you by the The Research Repository @ WVU with permission from the rights-holder(s). You are free to use this Dissertation in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you must obtain permission from the rights-holder(s) directly, unless additional rights are indicated by a Creative Commons license in the record and/ or on the work itself. This Dissertation has been accepted for inclusion in WVU Graduate Theses, Dissertations, and Problem Reports collection by an authorized administrator of The Research Repository @ WVU. For more information, please contact [email protected]. Pedagogical and Performance Aspects of Three American Compositions for Solo Piano: John Corigliano’s Fantasia on an Ostinato, Miguel del Aguila’s Conga for Piano, and William Bolcom’s Nine New Bagatelles Tse Wei Chai A Doctoral Research Project submitted to The College of Creative Arts at West Virginia University in partial fulfillment of the requirements for the degree of Doctor of Musical Arts in Piano Performance James Miltenberger, D.M.A., Committee Chair & Research Advisor Peter Amstutz, D.M.A. -
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. -
On Modulation —
— On Modulation — Dean W. Billmeyer University of Minnesota American Guild of Organists National Convention June 25, 2008 Some Definitions • “…modulating [is] going smoothly from one key to another….”1 • “Modulation is the process by which a change of tonality is made in a smooth and convincing way.”2 • “In tonal music, a firmly established change of key, as opposed to a passing reference to another key, known as a ‘tonicization’. The scale or pitch collection and characteristic harmonic progressions of the new key must be present, and there will usually be at least one cadence to the new tonic.”3 Some Considerations • “Smoothness” is not necessarily a requirement for a successful modulation, as much tonal literature will illustrate. A “convincing way” is a better criterion to consider. • A clear establishment of the new key is important, and usually a duration to the modulation of some length is required for this. • Understanding a modulation depends on the aural perception of the listener; hence, some ambiguity is inherent in distinguishing among a mere tonicization, a “false” modulation, and a modulation. • A modulation to a “foreign” key may be easier to accomplish than one to a diatonically related key: the ear is forced to interpret a new key quickly when there is a large change in the number of accidentals (i.e., the set of pitch classes) in the keys used. 1 Max Miller, “A First Step in Keyboard Modulation”, The American Organist, October 1982. 2 Charles S. Brown, CAGO Study Guide, 1981. 3 Janna Saslaw: “Modulation”, Grove Music Online ed. L. Macy (Accessed 5 May 2008), http://www.grovemusic.com. -
Music Theory Syllabus (With Introduction to Music) Frenship
Music Theory Syllabus (with Introduction to Music) 1306.030 Frenship High School Blue Days 12:54-2:24pm 2020-2021 Instructor: Angela Bradford Office: Room 1316 Phone: 806-866-4440, ext. 1028 Email: [email protected] Remind: Text to 81010 and message @329a99b Conference Times: 2:30-4:00pm, Blue and Gold days Course Text: Tonal Harmony by Stefan Kostka, Dorothy Payne and Byron Almen, 7th Edition. (Provided) Supplemental Material: Barron’s AP Music Theory by Nancy Scoggin (Optional) Course Purpose: The purpose of this Dual Credit course is to teach the language of Music Theory to students and help them develop the skills and knowledge to build students music literacy (reading, writing, hearing intelligently, and respond or performing) through analysis and composition. Course Overview: A) Oral Quizzes B) Score analysis C) Error Detection D) Aural association E) Association with familiar music Grading: 50% Written theory and composition- Daily Work (Fundamentals and Analysis) and Assessment Grades – 25% Composition 1 – 5%, Composition 2 – 5%, Composition 3 - 15% 30% Ear training – Intervals, Inversions, Chords, Scales on Assessment and quiz grades 20% Oral training (Sight-Reading), music literature and history (composers and music periods), and piano fundamentals in practice (chords, scales in major and minor, intervals) Course Outline: 1st Six Weeks Week 1 (2-3 class meetings - 1hr. 30 minutes class) Chap. 1 Elements of Pitch and Chap. 2 Elements of Rhythm 1 Notation a) The aspects of sound: pitch, amplitude, timbre, envelope (articulation) and duration. b) After a brief explanation of each, discuss aspects of notation as they relate to aspects of sound. -
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. -
Reconsidering Pitch Centricity Stanley V
University of Nebraska - Lincoln DigitalCommons@University of Nebraska - Lincoln Faculty Publications: School of Music Music, School of 2011 Reconsidering Pitch Centricity Stanley V. Kleppinger University of Nebraska-Lincoln, [email protected] Follow this and additional works at: http://digitalcommons.unl.edu/musicfacpub Part of the Music Commons Kleppinger, Stanley V., "Reconsidering Pitch Centricity" (2011). Faculty Publications: School of Music. 63. http://digitalcommons.unl.edu/musicfacpub/63 This Article is brought to you for free and open access by the Music, School of at DigitalCommons@University of Nebraska - Lincoln. It has been accepted for inclusion in Faculty Publications: School of Music by an authorized administrator of DigitalCommons@University of Nebraska - Lincoln. Reconsidering Pitch Centricity STANLEY V. KLEPPINGER Analysts commonly describe the musical focus upon a particular pitch class above all others as pitch centricity. But this seemingly simple concept is complicated by a range of factors. First, pitch centricity can be understood variously as a compositional feature, a perceptual effect arising from specific analytical or listening strategies, or some complex combination thereof. Second, the relation of pitch centricity to the theoretical construct of tonality (in any of its myriad conceptions) is often not consistently or robustly theorized. Finally, various musical contexts manifest or evoke pitch centricity in seemingly countless ways and to differing degrees. This essay examines a range of compositions by Ligeti, Carter, Copland, Bartok, and others to arrive at a more nuanced perspective of pitch centricity - one that takes fuller account of its perceptual foundations, recognizes its many forms and intensities, and addresses its significance to global tonal structure in a given composition. -
Trumpet Scales
Poston Scale Packet Trumpet Jenn Bock Concert F Major G Major Written One Octave Scale and Arpeggio #c & œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ w œ œ œ ˙ Full Range Scale # œ œ œ œ œ œ œ œ œ œ œ œ œ & œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ w Scale in Thirds œ # œ œ œ œ œ œ œ œ œ œ œ œ œ œ & œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ Arpeggio Exercise # œ œ œ œ œ œ œ œ œ œ œ œ & œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ Concert Bb Major C Major Written One Octave Scale and Arpeggio & œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ w œ œ œ ˙ Full Range Scale œ œ œ œ œ œ œ œ œ œ œ œ œ & œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ w Scale in Thirds œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ & œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ Arpeggio Exercise œ œ œ œ œ œ œ œ œ œ œ œ & œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ Concert Eb Major F Major Written One Octave Scale and Arpeggio œ œ œ œ œ œ œ œ œ œ &b œ œ œ œ œ œ œ w œ œ œ ˙ Full Range Scale œ œ œ œ œ &b œ œ œ œ œ œ œ œ œ w Poston Scale Packet- Trumpet- Jenn Bock 2 Scale in Thirds œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ &b œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ Arpeggio Exercise œ œ &b œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ Concert Ab Major Bb Major Written One Octave Scale and Arpeggio b &b œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ w œ œ œ ˙ Full Range Scale œ œ œ œ œ b œ œ œ œ œ œ œ œ &b œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ w Scale in Thirds œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ bb œ œ œ œ œ œ œ œ œ œ œ œ œ œ œ -
Number Line.Indd
The Blitz Key Signature Number Line Add flats Add sharps MAJOR C flat G flat D flat A flat E flat B flat F C G D A E B F sharp C sharp MAJOR MINOR A flat E flat B flat F C G D A E B F sharp C sharp G sharp D sharp A sharp MINOR This number line can help in two ways: 1. You can easily work out the dominant/subdominant of any key, and find other closely related keys. 2. You can work out how many sharps or flats are in any key More on the next two pages! This number line is a great way to work out which are the closely related keys. This is useful because your pieces will usually modulate to a key close by on the number line. The closest relative to any key is the key directly above or below, because it has the same key signature. It is usually called the ‘relative minor‛ or ‘relative major‛. One step to the right of any key is the DOMINANT KEY. Most pieces of music modulate to the dominant at some point. One step to the left of any key is the SUBDOMINANT KEY. This is also a very common key for modulations. One ‘diagonal‛ step left or right (e.g. from C major to D minor) is also regarded as a closely related key. MAJOR C flat G flat D flat A flat E flat B flat F C G D A E B F sharp C sharp MAJOR MINOR A flat E flat B flat F C G D A E B F sharp C sharp G sharp D sharp A sharp MINOR OTHER MODULATIONS: 2 steps to the right of any key is the dominant of the dominant! This is not as closely related. -
Keyboard Basics
Keyboard Basics By Starling Jones, Jr. http://www.StarlingSounds.com& http://www.SmoothChords.com In starting on the piano I recommend starting on weighted keys. I say this as your fingers will be adjusted to the stiffness of the keys. When you then progress to a light weighted keyboard, you will fly across the keys. It is still up to you which one you get as it needs to be something you will feel comfortable practicing on. Some keyboards are weighted as well. Keyboards can be 88 keys, 76, or 61. This is something you can decide on based on your needs and space available for the instrument. A lot of musicians have the 61 and/or a 76 key keyboard. It is easy to fit in the car as they travel from place to place. 88 keys is fine if you have the room, but most 88 key keyboards are rather heavy. I myself like a 76 keyboard as it give me the flexibility to play without the heaviness to carry. Keyboard Familiarization: ------------------------- The piano/keyboard uses the following alphabet letters: A B C D E F G The piano/keyboard consists of white and black notes. White Notes = Natural or Regular notes Black Notes = Sharps and Flats depending on how you address the note. Moving one note a half step to the right = Sharp (#) Moving one note a half step to the left = Flat (b) Notice the pattern in relationship between the black and white notes. Notice that there are 2 black notes together and then 3 black notes together with white notes in between. -
Music Tonality and Context 1 Running Head: MUSICAL KEY AND
CORE Metadata, citation and similar papers at core.ac.uk Provided by Lancaster E-Prints Music Tonality and Context 1 Running head: MUSICAL KEY AND CONTEXT-DEPENDENT MEMORY Music Tonality and Context-Dependent Recall: The Influence of Key Change and Mood Mediation Katharine M. L. Mead and Linden J. Ball* Lancaster University, UK ____________________________ *Corresponding author: Department of Psychology, Lancaster University, Lancaster, LA1 4YF, UK. Email: [email protected] Tel: +44 (0)1524 593470 Fax: +44 (0)1524 593744 Music Tonality and Context 2 Abstract Music in a minor key is often claimed to sound sad, whereas music in a major key is typically viewed as sounding cheerful. Such claims suggest that maintaining or switching the tonality of a musical selection between information encoding and retrieval should promote robust “mood-mediated” context-dependent memory (CDM) effects. The reported experiment examined this hypothesis using versions of a Chopin waltz where the key was either reinstated or switched at retrieval, so producing minor- -minor, major--major, minor--major and major--minor conditions. Better word recall arose in reinstated-key conditions (particularly for the minor--minor group) than in switched-key conditions, supporting the existence of tonality-based CDM effects. The tonalities also induced different mood states. The minor key induced a more negative mood than the major key, and participants in switched-key conditions demonstrated switched moods between learning and recall. Despite the association between music tonality and mood, a path analysis failed to reveal a reliable mood-mediation effect. We discuss why mood-mediated CDM may have failed to emerge in this study, whilst also acknowledging that an alternative “mental-context” account can explain our results (i.e., the mental representation of music tonality may act as a contextual cue that elicits information retrieval). -
Beyond Major and Minor? the Tonality of Popular Music After 19601
Online publications of the Gesellschaft für Popularmusikforschung/ German Society for Popular Music Studies e. V. Ed. by Eva Krisper and Eva Schuck w w w . gf pm- samples.de/Samples17 / pf l e i de r e r . pdf Volume 17 (2019) - Version of 25 July 2019 BEYOND MAJOR AND MINOR? THE TONALITY OF POPULAR MUSIC AFTER 19601 Martin Pfleiderer While the functional harmonic system of major and minor, with its logic of progression based on leading tones and cadences involving the dominant, has largely departed from European art music in the 20th century, popular music continues to uphold a musical idiom oriented towards major-minor tonality and its semantics. Similar to nursery rhymes and children's songs, it seems that in popular songs, a radiant major affirms plain and happy lyrics, while a darker minor key underlines thoughtful, sad, or gloomy moods. This contrast between light and dark becomes particularly tangible when both, i.e. major and minor, appear in one song. For example, in »Tanze Samba mit mir« [»Dance the Samba with Me«], a hit song composed by Franco Bracardi and sung by Tony Holiday in 1977, the verses in F minor announce a dark mood of desire (»Du bist so heiß wie ein Vulkan. Und heut' verbrenn' ich mich daran« [»You are as hot as a volcano and today I'm burning myself on it«]), which transitions into a happy or triumphant F major in the chorus (»Tanze Samba mit mir, Samba Samba die ganze Nacht« [»Dance the samba with me, samba, samba all night long«]). But can this finding also be transferred to other areas of popular music, such as rock and pop songs of American or British prove- nance, which have long been at least as popular in Germany as German pop songs and folk music? In recent decades, a broad and growing body of research on tonality and harmony in popular music has emerged. -
Finding Alternative Musical Scales
Finding Alternative Musical Scales John Hooker Carnegie Mellon University October 2017 1 Advantages of Classical Scales • Pitch frequencies have simple ratios. – Rich and intelligible harmonies • Multiple keys based on underlying chromatic scale with tempered tuning. – Can play all keys on instrument with fixed tuning. – Complex musical structure. • Can we find new scales with these same properties? – Constraint programming is well suited to solve the problem. 2 Simple Ratios • Acoustic instruments produce multiple harmonic partials. – Frequency of partial = integral multiple of frequency of fundamental. – Coincidence of partials makes chords with simple ratios easy to recognize. Perfect fifth C:G = 2:3 3 Simple Ratios • Acoustic instruments produce multiple harmonic partials. – Frequency of partial = integral multiple of frequency of fundamental. – Coincidence of partials makes chords with simple ratios easy to recognize. Octave C:C = 1:2 4 Simple Ratios • Acoustic instruments produce multiple harmonic partials. – Frequency of partial = integral multiple of frequency of fundamental. – Coincidence of partials makes chords with simple ratios easy to recognize. Major triad C:E:G = 4:5:6 5 Multiple Keys • A classical scale can start from any pitch in a chromatic with 12 semitone intervals. – Resulting in 12 keys. – An instrument with 12 pitches (modulo octaves) can play 12 different keys. – Can move to a different key by changing only a few notes of the scale. 6 Multiple Keys Let C major be the tonic key C 1 D#E 6 A C major b 0 notes F#G