Sound to Scale to Sound, a Setup for Microtonal
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The 17-Tone Puzzle — and the Neo-Medieval Key That Unlocks It
The 17-tone Puzzle — And the Neo-medieval Key That Unlocks It by George Secor A Grave Misunderstanding The 17 division of the octave has to be one of the most misunderstood alternative tuning systems available to the microtonal experimenter. In comparison with divisions such as 19, 22, and 31, it has two major advantages: not only are its fifths better in tune, but it is also more manageable, considering its very reasonable number of tones per octave. A third advantage becomes apparent immediately upon hearing diatonic melodies played in it, one note at a time: 17 is wonderful for melody, outshining both the twelve-tone equal temperament (12-ET) and the Pythagorean tuning in this respect. The most serious problem becomes apparent when we discover that diatonic harmony in this system sounds highly dissonant, considerably more so than is the case with either 12-ET or the Pythagorean tuning, on which we were hoping to improve. Without any further thought, most experimenters thus consign the 17-tone system to the discard pile, confident in the knowledge that there are, after all, much better alternatives available. My own thinking about 17 started in exactly this way. In 1976, having been a microtonal experimenter for thirteen years, I went on record, dismissing 17-ET in only a couple of sentences: The 17-tone equal temperament is of questionable harmonic utility. If you try it, I doubt you’ll stay with it for long.1 Since that time I have become aware of some things which have caused me to change my opinion completely. -
An Adaptive Tuning System for MIDI Pianos
David Løberg Code Groven.Max: School of Music Western Michigan University Kalamazoo, MI 49008 USA An Adaptive Tuning [email protected] System for MIDI Pianos Groven.Max is a real-time program for mapping a renstemningsautomat, an electronic interface be- performance on a standard keyboard instrument to tween the manual and the pipes with a kind of arti- a nonstandard dynamic tuning system. It was origi- ficial intelligence that automatically adjusts the nally conceived for use with acoustic MIDI pianos, tuning dynamically during performance. This fea- but it is applicable to any tunable instrument that ture overcomes the historic limitation of the stan- accepts MIDI input. Written as a patch in the MIDI dard piano keyboard by allowing free modulation programming environment Max (available from while still preserving just-tuned intervals in www.cycling74.com), the adaptive tuning logic is all keys. modeled after a system developed by Norwegian Keyboard tunings are compromises arising from composer Eivind Groven as part of a series of just the intersection of multiple—sometimes oppos- intonation keyboard instruments begun in the ing—influences: acoustic ideals, harmonic flexibil- 1930s (Groven 1968). The patch was first used as ity, and physical constraints (to name but three). part of the Groven Piano, a digital network of Ya- Using a standard twelve-key piano keyboard, the maha Disklavier pianos, which premiered in Oslo, historical problem has been that any fixed tuning Norway, as part of the Groven Centennial in 2001 in just intonation (i.e., with acoustically pure tri- (see Figure 1). The present version of Groven.Max ads) will be limited to essentially one key. -
The Group-Theoretic Description of Musical Pitch Systems
The Group-theoretic Description of Musical Pitch Systems Marcus Pearce [email protected] 1 Introduction Balzano (1980, 1982, 1986a,b) addresses the question of finding an appropriate level for describing the resources of a pitch system (e.g., the 12-fold or some microtonal division of the octave). His motivation for doing so is twofold: “On the one hand, I am interested as a psychologist who is not overly impressed with the progress we have made since Helmholtz in understanding music perception. On the other hand, I am interested as a computer musician who is trying to find ways of using our pow- erful computational tools to extend the musical [domain] of pitch . ” (Balzano, 1986b, p. 297) Since the resources of a pitch system ultimately depend on the pairwise relations between pitches, the question is one of how to conceive of pitch intervals. In contrast to the prevailing approach which de- scribes intervals in terms of frequency ratios, Balzano presents a description of pitch sets as mathematical groups and describes how the resources of any pitch system may be assessed using this description. Thus he is concerned with presenting an algebraic description of pitch systems as a competitive alternative to the existing acoustic description. In these notes, I shall first give a brief description of the ratio based approach (§2) followed by an equally brief exposition of some necessary concepts from the theory of groups (§3). The following three sections concern the description of the 12-fold division of the octave as a group: §4 presents the nature of the group C12; §5 describes three perceptually relevant properties of pitch-sets in C12; and §6 describes three musically relevant isomorphic representations of C12. -
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. -
The Hell Harp of Hieronymus Bosch. the Building of an Experimental Musical Instrument, and a Critical Account of an Experience of a Community of Musicians
1 (114) Independent Project (Degree Project), 30 higher education credits Master of Fine Arts in Music, with specialization in Improvisation Performance Academy of Music and Drama, University of Gothenburg Spring 2019 Author: Johannes Bergmark Title: The Hell Harp of Hieronymus Bosch. The building of an experimental musical instrument, and a critical account of an experience of a community of musicians. Supervisors: Professor Anders Jormin, Professor Per Anders Nilsson Examiner: Senior Lecturer Joel Eriksson ABSTRACT Taking a detail from Hieronymus Bosch’s Garden Of Earthly Delights as a point of departure, an instrument is built for a musical performance act deeply involving the body of the musician. The process from idea to performance is recorded and described as a compositional and improvisational process. Experimental musical instrument (EMI) building is discussed from its mythological and sociological significance, and from autoethnographical case studies of processes of invention. The writer’s experience of 30 years in the free improvisation and new music community, and some basic concepts: EMIs, EMI maker, musician, composition, improvisation, music and instrument, are analyzed and criticized, in the community as well as in the writer’s own work. The writings of Christopher Small and surrealist ideas are main inspirations for the methods applied. Keywords: Experimental musical instruments, improvised music, Hieronymus Bosch, musical performance art, music sociology, surrealism Front cover: Hieronymus Bosch, The Garden of Earthly -
Imaginary Marching Band Paper 2
The Imaginary Marching Band: An Experiment in Invisible Musical Interfaces Scott Peterman Parsons, The New School for Design 389 6th Avenue #3 New York, NY 10014 USA +1 917 952 2360 [email protected] www.imaginarymarchingband.com ABSTRACT INTRODUCTION The Imaginary Marching Band is a series of open- The Imaginary Marching Band is not just an source wearable instruments that allow the wearer to experiment in interaction design or music generation. create real music simply by pantomiming playing an This is a project geared towards a larger goal: the instrument. liberation of spontaneous creativity from the theater, Keywords studio, and writing desk and to embed it into our daily lives. MIDI Interface, Wearable Computer, Fashionable Technology, Digital Music, Invisible It is also a performance piece, an actual band who will Instruments be performing at a variety of festivals and institutions around the world this summer and fall. This project is open-source, both as software and as hardware. The hope is to encourage others to experiment within this area of design: the creation of invisible interfaces that mimic real world actions, and in so doing inspire a sense of play and enhance - rather than diminish - the creative experience. INSPIRATION But almost none of these instruments have brought the The twentieth century saw frequent bursts of Dionysian joy of actually creating music to a wider innovation in the manufacture and design of musical audience, nor the act of performance out into the “real” instruments. From early novelties by Russolo and world; if anything, these inventions appeal exclusively Theramin to mid-century instrument modification by to the most experimental of musical spaces. -
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. -
Andrián Pertout
Andrián Pertout Three Microtonal Compositions: The Utilization of Tuning Systems in Modern Composition Volume 1 Submitted in partial fulfilment of the requirements of the degree of Doctor of Philosophy Produced on acid-free paper Faculty of Music The University of Melbourne March, 2007 Abstract Three Microtonal Compositions: The Utilization of Tuning Systems in Modern Composition encompasses the work undertaken by Lou Harrison (widely regarded as one of America’s most influential and original composers) with regards to just intonation, and tuning and scale systems from around the globe – also taking into account the influential work of Alain Daniélou (Introduction to the Study of Musical Scales), Harry Partch (Genesis of a Music), and Ben Johnston (Scalar Order as a Compositional Resource). The essence of the project being to reveal the compositional applications of a selection of Persian, Indonesian, and Japanese musical scales utilized in three very distinct systems: theory versus performance practice and the ‘Scale of Fifths’, or cyclic division of the octave; the equally-tempered division of the octave; and the ‘Scale of Proportions’, or harmonic division of the octave championed by Harrison, among others – outlining their theoretical and aesthetic rationale, as well as their historical foundations. The project begins with the creation of three new microtonal works tailored to address some of the compositional issues of each system, and ending with an articulated exposition; obtained via the investigation of written sources, disclosure -
<I>Manifestations</I>: a Fixed Media Microtonal Octet
University of Tennessee, Knoxville TRACE: Tennessee Research and Creative Exchange Masters Theses Graduate School 8-2017 Manifestations: A fixed media microtonal octet Sky Dering Van Duuren University of Tennessee, Knoxville, [email protected] Follow this and additional works at: https://trace.tennessee.edu/utk_gradthes Part of the Composition Commons Recommended Citation Van Duuren, Sky Dering, "Manifestations: A fixed media microtonal octet. " Master's Thesis, University of Tennessee, 2017. https://trace.tennessee.edu/utk_gradthes/4908 This Thesis is brought to you for free and open access by the Graduate School at TRACE: Tennessee Research and Creative Exchange. It has been accepted for inclusion in Masters Theses by an authorized administrator of TRACE: Tennessee Research and Creative Exchange. For more information, please contact [email protected]. To the Graduate Council: I am submitting herewith a thesis written by Sky Dering Van Duuren entitled "Manifestations: A fixed media microtonal octet." I have examined the final electronic copy of this thesis for form and content and recommend that it be accepted in partial fulfillment of the equirr ements for the degree of Master of Music, with a major in Music. Andrew L. Sigler, Major Professor We have read this thesis and recommend its acceptance: Barbara Murphy, Jorge Variego Accepted for the Council: Dixie L. Thompson Vice Provost and Dean of the Graduate School (Original signatures are on file with official studentecor r ds.) Manifestations A fixed media microtonal octet A Thesis Presented for the Master of Music Degree The University of Tennessee, Knoxville Skylar Dering van Duuren August 2017 Copyright © 2017 by Skylar van Duuren. -
Memory and Production of Standard Frequencies in College-Level Musicians Sarah E
University of Massachusetts Amherst ScholarWorks@UMass Amherst Masters Theses 1911 - February 2014 2013 Memory and Production of Standard Frequencies in College-Level Musicians Sarah E. Weber University of Massachusetts Amherst Follow this and additional works at: https://scholarworks.umass.edu/theses Part of the Cognition and Perception Commons, Fine Arts Commons, Music Education Commons, and the Music Theory Commons Weber, Sarah E., "Memory and Production of Standard Frequencies in College-Level Musicians" (2013). Masters Theses 1911 - February 2014. 1162. Retrieved from https://scholarworks.umass.edu/theses/1162 This thesis is brought to you for free and open access by ScholarWorks@UMass Amherst. It has been accepted for inclusion in Masters Theses 1911 - February 2014 by an authorized administrator of ScholarWorks@UMass Amherst. For more information, please contact [email protected]. Memory and Production of Standard Frequencies in College-Level Musicians A Thesis Presented by SARAH WEBER Submitted to the Graduate School of the University of Massachusetts Amherst in partial fulfillment of the requirements for the degree of MASTER OF MUSIC September 2013 Music Theory © Copyright by Sarah E. Weber 2013 All Rights Reserved Memory and Production of Standard Frequencies in College-Level Musicians A Thesis Presented by SARAH WEBER _____________________________ Gary S. Karpinski, Chair _____________________________ Andrew Cohen, Member _____________________________ Brent Auerbach, Member _____________________________ Jeff Cox, Department Head Department of Music and Dance DEDICATION For my parents and Grandma. ACKNOWLEDGEMENTS I would like to thank Kristen Wallentinsen for her help with experimental logistics, Renée Morgan for giving me her speakers, and Nathaniel Liberty for his unwavering support, problem-solving skills, and voice-over help. -
Proceedings of the Australasian Computer
!"##$%&!'(#!$%)*+$,-#.! ! ! ! ! ! (#)/$%&!'(#!$%0$1$,-# !"#$%%&'()*+#,+-.%+/0*-"121*'1(+3#450-%"+60*'$+3#(,%"%($%+789: 1'2&3$%4-%5)3%67#%83,9:;%<'=3;%6>)'',%'?%@+27>%A%@';:2)%B;7C3#27&-D !"#$%&'%!(&)%*+,-%%!./0 Proceedings of the Australasian Computer Music Conference 2019, Melbourne, Victoria Australasian Computer Music Conference Paper Jury: Roger Alsop, Ted Apel, Leah Barclay, Andrea Dancer, Robert Davidson , Louise Devenish, Richard Dudas, Ioanna Etmektsoglou, Toby Gifford, Talisha Goh, Natalie Grant, Susan Frykberg, Erik Griswold, David Hirst, Cat Hope, Alexander Hunter, Stuart James, Bridget Johnson, Jordan Lacey, Charles Martin, Sage Pbbbt, Mark Pedersen, Tracey Redhead, Elise Reitze-Swensen, Robert Sazdov, Diana Siwiak, Ryan Smith, Andrew Sorensen, Paul Tanner, Vanessa Tomlinson, Lindsay Vickery and Robert Vincs. Australasian Computer Music Conference Music Jury: Daryl Buckley, Louise Devenish, Natalie Grant, Erik Griswold, Cat Hope, Stuart James, Ryan Ross Smith, Vanessa Tomlinson, Lindsay Vickery and Ian Whalley. Organising Committee: Lindsay Vickery (chair), Natalie Grant, Cat Hope, Stuart James, SKoT McDonald and Ryan Ross Smith. Concert / Technical Support Karl Willebrant and Chris Cody. With special thanks to: The Sir Zelman Cowen School of Music at Monash University, Published by The Australasian Computer Music Association. http://computermusic.org.au December 2019 ISSN 1448-7780 All copyright remains with the authors. Proceedings edited by Lindsay Vickery. All correspondence with authors should be sent directly to the authors. General correspondence for ACMA should be sent to [email protected] The paper refereeing process is conducted according to the specifications of the Australian Government for the collection of Higher Education research data, and fully refereed papers therefore meet Australian Government requirements for fully-refereed research papers.