Auditory Illusions
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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. -
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. -
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. -
Speaking in Tones Music and Language Are Partners in the Brain
Speaking in Tones Music and language are partners in the brain. Our sense of song helps us learn to talk, read and even make friends By Diana Deutsch 36 SCIENTIFIC AMERICAN MIND July/August 2010 © 2010 Scientific American ne afternoon in the summer of opera resembling sung ordinary speech), the cries 1995, a curious incident occurred. of street vendors and some rap music. I was fi ne-tuning my spoken com- And yet for decades the experience of musicians mentary on a CD I was preparing and the casual observer has clashed with scientifi c ) about music and the brain. To de- opinion, which has held that separate areas of the music tect glitches in the recording, I was looping phrases brain govern speech and music. Psychologists, lin- O so that I could hear them over and over. At one point, guists and neuroscientists have recently changed their sheet ( when I was alone in the room, I put one of the phras- tune, however, as sophisticated neuroimaging tech- es, “sometimes behave so strangely,” on a loop, be- niques have helped amass evidence that the brain ar- gan working on something else and forgot about it. eas governing music and language overlap. The latest iStockphoto Suddenly it seemed to me that a strange woman was data show that the two are in fact so intertwined that singing! After glancing around and fi nding nobody an awareness of music is critical to a baby’s language there, I realized that I was hearing my own voice re- development and even helps to cement the bond be- petitively producing this phrase—but now, instead tween infant and mother. -
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 Octave Illusion and Auditory Perceptual Integration
The Octave Illusion and Auditory Perceptual Integration DIANA DEUTSCH University of California, San Diego, La Jolla, California I. Introduction . 1 II. The Octave Illusion . 2 A. The Basic Effect . 2 B. Handedness Correlates . 4 C. Further Complexities: Ears or Auditory Space? . 6 D. Dependence of the Illusion on Sequential Interactions . 6 III. Parametric Studies of Ear Dominance . 7 A. Apparatus . 7 B. Experiment 1 . 7 C. Experiment 2 . 9 D. Experiment 3 . 10 E. Experiment 4 . .11 F. Hypothesized Basis for Ear Dominance . 13 G. Discussion . 13 IV. Parametric Studies of Lateralization by Frequency . .15 A. Experiment 1 . 15 B. Experiment 2. 16 C. Experiment 3 . 16 D. Experiment 4 . 16 E. Discussion . 18 V. The What–Where Connection . 18 Discussion . 19 VI. Conclusion . 19 References . 20 I. INTRODUCTION hemisphere damage to Brodmann’s areas 39 and 40 has been found to produce deficits in visual perceptual clas- A philosophical doctrine stemming from the empiri- sification (Warrington and Taylor, 1973). Further, vari- cists of the seventeenth and eighteenth centuries is that ous studies on human and subhuman species point to objects manifest themselves simply as bundles of attrib- an anatomical separation between the pathways medi- ute values. This doctrine has had a profound influence ating pattern discrimination on the one hand and local- on the thinking of sensory psychologists and neurophys- ization on the other (Ingle et al., 1967-1968). For exam- iologists. For example, it is assumed that when we see an ple, Schneider found that ablation of visual cortex in object, we separately appreciate its color, its shape, its hamsters led to an inability to discriminate visual pat- location in the visual field, and so on. -
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. -
1353 Syllabus Final
Music and Language (Psychology 1353), Fall 2010 Mondays & Wednesdays, 4:00 – 5:30 pm Location: WJH 4 Website: http://my.harvard.edu/icb/icb.do?keyword=k72181 (please check often for updates and changes) Instructor: L. Robert (Bob) Slevc, PhD. Email: [email protected] Office hours by appointment Overview Music and language are among the skills and activities that most uniquely define us as human. As far as we know, every human culture uses some form of music and of language and has done so for a very long time: bone flutes have been discovered dating from about 40,000 years ago and singing probably emerged even earlier, along with spoken language, sometime in the Paleolithic era. In contrast, there seem to be no non-human animals that make use of music and language to anywhere near the extent that we do. This means that the processing of music and language are unlike many other impressive aspects of perception and cognition (e.g., vision or memory) in that we can learn only a limited amount from studies of other species. But processing music and language are, in a sense, similar feats–both involve the conversion of complex auditory sequences into meaningful units and structures–and so much can be learned from comparative work on these two complex abilities. Importantly, we can learn both from aspects that are shared in the processing of music and language and from aspects that are distinct. This idea that there might be a relationship between music and language is not a new one, but goes back at least as far as Plato. -
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. -
Music Notation, but Not Action on a Keyboard, Influences
No Effect of Action on the Tritone Paradox 315 MUSIC NOTATION , BUT NOT ACTION ON A KEYBOARD , INFLUENCES PIANISTS’ JUDGMENTS OF AMBIGUOUS MELODIES BRUNO H. REPP Hommel, Müsseler, Aschersleben, & Prinz, 2001; Proffitt, Haskins Laboratories 2006; Schütz-Bosbach & Prinz, 2007; Wilson & Knoblich, 2005). Almost all of these studies have been concerned ROBERT M. GOEHR K E with visual perception. However, Repp and Knoblich Yale University (2007, 2009) recently claimed to have found effects of action on auditory perception. PITCH INCREASES FROM LEFT TO RIGHT ON PIANO Their research was based on the fact that on a piano key- keyboards. When pianists press keys on a keyboard to board, the pitch of produced tones increases from left to hear two successive octave-ambiguous tones spanning a right. Pianists are continuously exposed to this relationship, tritone (half-octave interval), they tend to report hear- whereas other musicians and some nonmusicians merely ing the tritone go in the direction consistent with their know it but do not have sensorimotor experience with it. key presses (Repp & Knoblich, 2009). This finding has On each trial of their experiment, Repp and Knoblich been interpreted as an effect of action on perceptual (2009) showed participants a pair of two-digit numbers judgment. Using a modified design, the present study that corresponded to two keys on a labeled piano keyboard separated the effect of the action itself from that of the (a silent MIDI controller). The keys always spanned the visual stimuli that prompt the action. Twelve expert pia- musical interval of a tritone (half an octave), with the sec- nists reported their perception of octave-ambiguous ond key being either higher (i.e., to the right of) or lower three-note melodies ending with tritones in two condi- than (to the left of) the first key.