The Octave Illusion and Auditory Perceptual Integration
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The Perception of Melodic Consonance: an Acoustical And
The perception of melodic consonance: an acoustical and neurophysiological explanation based on the overtone series Jared E. Anderson University of Pittsburgh Department of Mathematics Pittsburgh, PA, USA Abstract The melodic consonance of a sequence of tones is explained using the overtone series: the overtones form “flow lines” that link the tones melodically; the strength of these flow lines determines the melodic consonance. This hypothesis admits of psychoacoustical and neurophysiological interpretations that fit well with the place theory of pitch perception. The hypothesis is used to create a model for how the auditory system judges melodic consonance, which is used to algorithmically construct melodic sequences of tones. Keywords: auditory cortex, auditory system, algorithmic composition, automated com- position, consonance, dissonance, harmonics, Helmholtz, melodic consonance, melody, musical acoustics, neuroacoustics, neurophysiology, overtones, pitch perception, psy- choacoustics, tonotopy. 1. Introduction Consonance and dissonance are a basic aspect of the perception of tones, commonly de- scribed by words such as ‘pleasant/unpleasant’, ‘smooth/rough’, ‘euphonious/cacophonous’, or ‘stable/unstable’. This is just as for other aspects of the perception of tones: pitch is described by ‘high/low’; timbre by ‘brassy/reedy/percussive/etc.’; loudness by ‘loud/soft’. But consonance is a trickier concept than pitch, timbre, or loudness for three reasons: First, the single term consonance has been used to refer to different perceptions. The usual convention for distinguishing between these is to add an adjective specifying what sort arXiv:q-bio/0403031v1 [q-bio.NC] 22 Mar 2004 is being discussed. But there is not widespread agreement as to which adjectives should be used or exactly which perceptions they are supposed to refer to, because it is difficult to put complex perceptions into unambiguous language. -
Major Heading
THE APPLICATION OF ILLUSIONS AND PSYCHOACOUSTICS TO SMALL LOUDSPEAKER CONFIGURATIONS RONALD M. AARTS Philips Research Europe, HTC 36 (WO 02) Eindhoven, The Netherlands An overview of some auditory illusions is given, two of which will be considered in more detail for the application of small loudspeaker configurations. The requirements for a good sound reproduction system generally conflict with those of consumer products regarding both size and price. A possible solution lies in enhancing listener perception and reproduction of sound by exploiting a combination of psychoacoustics, loudspeaker configurations and digital signal processing. The first example is based on the missing fundamental concept, the second on the combination of frequency mapping and a special driver. INTRODUCTION applications of even smaller size this lower limit can A brief overview of some auditory illusions is given easily be as high as several hundred hertz. The bass which serves merely as a ‘catalogue’, rather than a portion of an audio signal contributes significantly to lengthy discussion. A related topic to auditory illusions the sound ‘impact’, and depending on the bass quality, is the interaction between different sensory modalities, the overall sound quality will shift up or down. e.g. sound and vision, a famous example is the Therefore a good low-frequency reproduction is McGurk effect (‘Hearing lips and seeing voices’) [1]. essential. An auditory-visual overview is given in [2], a more general multisensory product perception in [3], and on ILLUSIONS spatial orientation in [4]. The influence of video quality An illusion is a distortion of a sensory perception, on perceived audio quality is discussed in [5]. -
Music: Broken Symmetry, Geometry, and Complexity Gary W
Music: Broken Symmetry, Geometry, and Complexity Gary W. Don, Karyn K. Muir, Gordon B. Volk, James S. Walker he relation between mathematics and Melody contains both pitch and rhythm. Is • music has a long and rich history, in- it possible to objectively describe their con- cluding: Pythagorean harmonic theory, nection? fundamentals and overtones, frequency Is it possible to objectively describe the com- • Tand pitch, and mathematical group the- plexity of musical rhythm? ory in musical scores [7, 47, 56, 15]. This article In discussing these and other questions, we shall is part of a special issue on the theme of math- outline the mathematical methods we use and ematics, creativity, and the arts. We shall explore provide some illustrative examples from a wide some of the ways that mathematics can aid in variety of music. creativity and understanding artistic expression The paper is organized as follows. We first sum- in the realm of the musical arts. In particular, we marize the mathematical method of Gabor trans- hope to provide some intriguing new insights on forms (also known as short-time Fourier trans- such questions as: forms, or spectrograms). This summary empha- sizes the use of a discrete Gabor frame to perform Does Louis Armstrong’s voice sound like his • the analysis. The section that follows illustrates trumpet? the value of spectrograms in providing objec- What do Ludwig van Beethoven, Ben- • tive descriptions of musical performance and the ny Goodman, and Jimi Hendrix have in geometric time-frequency structure of recorded common? musical sound. Our examples cover a wide range How does the brain fool us sometimes • of musical genres and interpretation styles, in- when listening to music? And how have cluding: Pavarotti singing an aria by Puccini [17], composers used such illusions? the 1982 Atlanta Symphony Orchestra recording How can mathematics help us create new of Copland’s Appalachian Spring symphony [5], • music? the 1950 Louis Armstrong recording of “La Vie en Rose” [64], the 1970 rock music introduction to Gary W. -
City Research Online
City Research Online City, University of London Institutional Repository Citation: Cross, I. (1989). The cognitive organisation of musical pitch. (Unpublished Doctoral thesis, City University London) This is the accepted version of the paper. This version of the publication may differ from the final published version. Permanent repository link: https://openaccess.city.ac.uk/id/eprint/7663/ Link to published version: Copyright: City Research Online aims to make research outputs of City, University of London available to a wider audience. Copyright and Moral Rights remain with the author(s) and/or copyright holders. URLs from City Research Online may be freely distributed and linked to. Reuse: Copies of full items can be used for personal research or study, educational, or not-for-profit purposes without prior permission or charge. Provided that the authors, title and full bibliographic details are credited, a hyperlink and/or URL is given for the original metadata page and the content is not changed in any way. City Research Online: http://openaccess.city.ac.uk/ [email protected] The Cognitive Organisation of Musical Pitch A dissertation submitted in fulfilment of the requirements of the degree of Doctor of Philosophy in The City University, London by Ian Cross September1989 ABSTRACT This thesis takes as its initial Premise the idea that the rationales for the forms of pitch organisation employed within tonal music which have been adopted by music theorists have strongly affected those theorists` conceptions of music, and that it is of critical importance to music theory to investigate the potential origination of such rationales within the human sciences. -
The Shepard–Risset Glissando: Music That Moves
University of Wollongong Research Online Faculty of Social Sciences - Papers Faculty of Social Sciences 2017 The hepS ard–Risset glissando: music that moves you Rebecca Mursic University of Wollongong, [email protected] B Riecke Simon Fraser University Deborah M. Apthorp Australian National University, [email protected] Stephen Palmisano University of Wollongong, [email protected] Publication Details Mursic, R., Riecke, B., Apthorp, D. & Palmisano, S. (2017). The heS pard–Risset glissando: music that moves you. Experimental Brain Research, 235 (10), 3111-3127. Research Online is the open access institutional repository for the University of Wollongong. For further information contact the UOW Library: [email protected] The hepS ard–Risset glissando: music that moves you Abstract Sounds are thought to contribute to the perceptions of self-motion, often via higher-level, cognitive mechanisms. This study examined whether illusory self-motion (i.e. vection) could be induced by auditory metaphorical motion stimulation (without providing any spatialized or low-level sensory information consistent with self-motion). Five different types of auditory stimuli were presented in mono to our 20 blindfolded, stationary participants (via a loud speaker array): (1) an ascending Shepard–Risset glissando; (2) a descending Shepard–Risset glissando; (3) a combined Shepard–Risset glissando; (4) a combined-adjusted (loudness-controlled) Shepard–Risset glissando; and (5) a white-noise control stimulus. We found that auditory vection was consistently induced by all four Shepard–Risset glissandi compared to the white-noise control. This metaphorical auditory vection appeared similar in strength to the vection induced by the visual reference stimulus simulating vertical self-motion. -
Music Perception 13
Music Perception 13 LEARNING OBJECTIVES ISLE EXERCISES 13.1 Kurdish Music Example 13.1 Explain how frequency is related to pitch, chroma, and the octave. 13.2 Javanese Gamelan Music Example 13.2 Summarize the basic neuroscience of music, including how training and experience can affect the representation of music in the brain. 13.3 Ancient Greek Music 13.4 35,000-Year-Old Flute 13.3 Discuss how learning and culture affect music perception. distribute 13.5 Is This Music? 13.6 The Octave and or Tone Similarity INTRODUCTION 13.7 Pentatonic Music 13.8 Meter and Beat Wherever you travel, you will find music. It may sound very different from the music you are accustomed to hearing, but you will recognize it instantly as music. In Kurdistan, we 13.9 Bolero Clip find a unique culture of music featuring such instrumentspost, as the tanbur (a fretted string 13.10 Attack and Decay instrument), the qernête (a double-reed wind instrument), and the şimşal (a flutelike 13.11 Examples of Melody instrument) (Figure 13.1). Although most of you may never have heard of these instru- ments and may never have heard Kurdish music before, you would instantly recognize 13.12 Types of Scales them as musical instruments, and you might even like Kurdish music (see ISLE 13.1 for 13.13 Gestalt Principles an example of Kurdish music). Review copy, © Aurora Photos/Alamy 13.14 Gestalt Principle: Proximity: Bach’s Partita No. 3 in E major not 13.15 A Shave and a Haircut 13.16 Cross-Modal Matchings as a Simulation of Synesthesia Do 13.17. -
Notices of the American Mathematical
ISSN 0002-9920 Notices of the American Mathematical Society AMERICAN MATHEMATICAL SOCIETY Graduate Studies in Mathematics Series The volumes in the GSM series are specifically designed as graduate studies texts, but are also suitable for recommended and/or supplemental course reading. With appeal to both students and professors, these texts make ideal independent study resources. The breadth and depth of the series’ coverage make it an ideal acquisition for all academic libraries that of the American Mathematical Society support mathematics programs. al January 2010 Volume 57, Number 1 Training Manual Optimal Control of Partial on Transport Differential Equations and Fluids Theory, Methods and Applications John C. Neu FROM THE GSM SERIES... Fredi Tro˝ltzsch NEW Graduate Studies Graduate Studies in Mathematics in Mathematics Volume 109 Manifolds and Differential Geometry Volume 112 ocietty American Mathematical Society Jeffrey M. Lee, Texas Tech University, Lubbock, American Mathematical Society TX Volume 107; 2009; 671 pages; Hardcover; ISBN: 978-0-8218- 4815-9; List US$89; AMS members US$71; Order code GSM/107 Differential Algebraic Topology From Stratifolds to Exotic Spheres Mapping Degree Theory Matthias Kreck, Hausdorff Research Institute for Enrique Outerelo and Jesús M. Ruiz, Mathematics, Bonn, Germany Universidad Complutense de Madrid, Spain Volume 110; 2010; approximately 215 pages; Hardcover; A co-publication of the AMS and Real Sociedad Matemática ISBN: 978-0-8218-4898-2; List US$55; AMS members US$44; Española (RSME). Order code GSM/110 Volume 108; 2009; 244 pages; Hardcover; ISBN: 978-0-8218- 4915-6; List US$62; AMS members US$50; Ricci Flow and the Sphere Theorem The Art of Order code GSM/108 Simon Brendle, Stanford University, CA Mathematics Volume 111; 2010; 176 pages; Hardcover; ISBN: 978-0-8218- page 8 Training Manual on Transport 4938-5; List US$47; AMS members US$38; and Fluids Order code GSM/111 John C. -
Functional Transfer of Musical Training to Speech Perception in Adverse Acoustical Situations
Functional transfer of musical training to speech perception in adverse acoustical situations THESIS Presented in Partial Fulfillment of the Requirements for the Degree Master of Arts in the Graduate School of The Ohio State University By Jianming Shen Graduate Program in Speech and Hearing Science The Ohio State University 2014 Master's Examination Committee: Dr. Lawrence L. Feth, Advisor Dr. Antoine J. Shahin Copyrighted by Jianming Shen 2014 Abstract Listeners can perceive interrupted speech as continuous, provided that the gap is masked by another extraneous sound such as white noise or a cough. This phenomenon, known as the continuity illusion or phonemic restoration, is an adaptive function of our auditory system that facilitates speech comprehension in adverse acoustic situations. In this study, we examined the hypothesis that the effect of music training, as manifested in one’s enhanced ability to anticipate envelope variation and thus perceive continuity in degraded music, can transfer to phonemic restoration. We posited that this cross-domain extension is largely due to the overlapping neural networks associated with rhythm processing in the lower-level central auditory system. Musicians and non-musicians listened to physically interrupted short music tunes and English words which contained a segment that was replaced by white noise, and judged whether they heard the stimuli as interrupted or continuous through the noise. Their perceptual threshold of continuity— here defined as the interruption duration at which they perceived the sound as continuous by a 50% chance—for each session was measured and calculated based on an adaptive procedure. Results revealed that musicians tolerated longer interruptions than non-musicians during the speech session, but not during the music session. -
The Cognitive Neuroscience of Music
THE COGNITIVE NEUROSCIENCE OF MUSIC Isabelle Peretz Robert J. Zatorre Editors OXFORD UNIVERSITY PRESS Zat-fm.qxd 6/5/03 11:16 PM Page i THE COGNITIVE NEUROSCIENCE OF MUSIC This page intentionally left blank THE COGNITIVE NEUROSCIENCE OF MUSIC Edited by ISABELLE PERETZ Départment de Psychologie, Université de Montréal, C.P. 6128, Succ. Centre-Ville, Montréal, Québec, H3C 3J7, Canada and ROBERT J. ZATORRE Montreal Neurological Institute, McGill University, Montreal, Quebec, H3A 2B4, Canada 1 Zat-fm.qxd 6/5/03 11:16 PM Page iv 1 Great Clarendon Street, Oxford Oxford University Press is a department of the University of Oxford. It furthers the University’s objective of excellence in research, scholarship, and education by publishing worldwide in Oxford New York Auckland Bangkok Buenos Aires Cape Town Chennai Dar es Salaam Delhi Hong Kong Istanbul Karachi Kolkata Kuala Lumpur Madrid Melbourne Mexico City Mumbai Nairobi São Paulo Shanghai Taipei Tokyo Toronto Oxford is a registered trade mark of Oxford University Press in the UK and in certain other countries Published in the United States by Oxford University Press Inc., New York © The New York Academy of Sciences, Chapters 1–7, 9–20, and 22–8, and Oxford University Press, Chapters 8 and 21. Most of the materials in this book originally appeared in The Biological Foundations of Music, published as Volume 930 of the Annals of the New York Academy of Sciences, June 2001 (ISBN 1-57331-306-8). This book is an expanded version of the original Annals volume. The moral rights of the author have been asserted Database right Oxford University Press (maker) First published 2003 All rights reserved. -
Perceived Intensity Effects in the Octave Illusion
Perception & Psychophysics 2005, 67 (4), 648-658 Perceived intensity effects in the octave illusion RANIL R. SONNADARA and LAUREL J. TRAINOR McMaster University, Hamilton, Ontario, Canada We showed that there is an intensity aspect to the octave illusion in addition to the pitch and loca- tion aspects originally reported by Deutsch (1974). In Experiment 1, we asked participants to directly compare the stimulus giving rise to the illusion (ILLU) with one mimicking its most commonly reported percept (illusion consistent; IC) and showed that they were easily able to distinguish between the two. In Experiment 2, we demonstrated a clear difference between the perceived loudness of ILLU and IC when IC follows ILLU, but not when IC precedes ILLU. In Experiments 3 and 4, we showed that this ef- fect depends on the alternation of high and low tones between the ears in an extended pattern. In Ex- periment 5, we showed that this difference in perceived loudness disappears if the interval between the ILLU and IC stimuli is sufficiently large. Complex sounds contain energy at a number of differ- might be due to hemispheric dominance, with the high ent frequencies. In a typical environment, several objects tones perceived as coming from the dominant ear. emit complex sounds overlapping in time. The inner ear The octave illusion presents a paradox. Although each performs a frequency analysis over time on the sum of ear receives a sequence of high and low tones (see Fig- these incoming sound waves, leaving it to higher stages ures 1A and 1B), Deutsch found that the most commonly of processing to appropriately recombine the various reported percept was an alternating pattern with the high components into an accurate representation of the origi- tones heard as though they were being presented solely nal environment. -
Shepard Tones
Shepard Tones Ascending and Descending by M. Escher 1 If you misread the name of this exhibit, you may have expected to hear some pretty music played on a set of shepherd’s pipes. Instead what you heard was a sequence of notes that probably sounded rather unmusical, and may have at first appeared to keep on rising indefinitely, “one note at a time”. But soon you must have noticed that it was getting nowhere, and eventually you no-doubt realized that it was even “cyclic”, i.e., after a full scale of twelve notes had been played, the sound was right back to where it started from! In some ways this musical paradox is an audible analog of Escher’s famous Ascending and Descending drawing. While this strange “ever-rising note” had precursors, in the form in which it occurs in 3D-XplorMath, it was first described by the psychologist Roger N. Shepard in a paper titled Circularity in Judgements of Relative Pitch published in 1964 in the Journal of the Acoustical Society of America. To understand the basis for this auditory illusion, it helps to look at the sonogram that is shown while the Shepard Tones are playing. What you are seeing is a graph in which the horizontal axis represents frequency (in Hertz) and the vertical axis the intensity at which a sound at a given frequency is played. Note that the Gaussian or bell curve in this diagram shows the inten- sity envelope at which all sounds of a Shepard tone are played. A single Shepard tone consists of the same “note” played in seven different octaves—namely the octave containing A above middle C (the center of our bell curve) and three octaves up and three octaves down. -
A Criterion-Related Validity Test of Selected Indicators of Musical Sophistication Using Expert Ratings
A CRITERION-RELATED VALIDITY TEST OF SELECTED INDICATORS OF MUSICAL SOPHISTICATION USING EXPERT RATINGS DISSERTATION Presented in Partial Fulfillment of the Requirements for The Degree Doctor of Philosophy in the Graduate School of The Ohio State University By Joy E. Ollen, M.A. * * * * * The Ohio State University 2006 Dissertation Committee: Approved by Professor David Huron, Adviser Professor David Butler ____________________________________ Professor R. J. David Frego Adviser School of Music Professor Joseph Gliem Copyright by Joy Elaine Ollen 2006 ABSTRACT Music researchers regularly test the hypothesis that participants will respond differently based upon their levels of musical sophistication. Circumstances may not permit any extensive pre-testing and researchers often select or group participants according to their answers to simple survey-type questions related to their musical background. A number of these indicators have been criticized as being inadequate; yet, to date, their validity has remained untested. The goal of this dissertation was to test the validity of selected indicators, using expert ratings as the criterion variable, and to compile a short questionnaire that researchers may use to classify research participants as either more or less musically sophisticated. To that end, three survey projects were conducted. The first project sampled 743 music studies published between 1928 and 2004 in order to obtain information about how researchers were measuring musical sophistication. Two of the most commonly used indicators were “Formal musical training” (e.g., years of private lessons) and “Year or level in a formal music program” (e.g., music or non-music major). However, 38 different categories of indicators were identified in the sample and were used in 173 unique ways—either singly or in combination.