Relative Pitch and the Song of Black-Capped Chickadees

Total Page:16

File Type:pdf, Size:1020Kb

Relative Pitch and the Song of Black-Capped Chickadees Relative Pitch and the Song of Black-Capped Chickadees Chickadees, like people, have a strong sense of relative pitch. These birds use skillful, precise pitch changes to advertise their quality and attract mates Ronald Weisman and Laurene Ratcliffe ore than 2,000 years ago, the acer- descriptions of birdsongs. Donald Bor- Music and Relative Pitch Mbic philosopher Marcus Tullius ror, a master bioacoustician and field Relative pitch is the ability to produce Cicero observed that Roman songbirds biologist, found many of the song de- or recognize a note based on a refer- compose more excellent melodies than scriptions inadequate by modern stan- ence note. The ability to hum a simple any musician. He certainly doesn’t dards, as he wrote in his foreword to tune when given a set note with which stand alone in history on that count; it the 1967 reprinting of Mathews’s book. to start, as most people can, shows is a nearly universal human experience Borror acknowledged that Mathews relative pitch in action. A sense of to find joy and wonder in birdsong— lacked modern electronic equipment relative pitch is common among non- and to compare the songs to human and that his primary interest was in musicians even if they never use the music. People have been transcribing the musical content of birdsongs. To- term, but musical training develops melodies of birds into the notation of day, however, Mathews’s approach this knack. Trained singers have an ad- music since at least the 18th century; seems dated and quaint. Musical no- vanced appreciation of pitch change: Vivaldi’s Goldfinch concerto and Han- tation is simply unable to provide the They can produce precise relative fre- del’s Cuckoo and the Nightingale organ detailed, accurate and reproducible quency changes from one note to the concerto include musical notation for descriptions required in modern bio- next in a melody. birdsongs. In the early 1900s, the New acoustical analyses of vocal commu- To compare the appreciation for England naturalist and composer F. nication among songbirds. Mathews’s relative pitch among humans and Schuyler Mathews presented the songs approach helps musically trained peo- songbirds, it is necessary to under- of many North American birds in mu- ple recognize birdsongs, but it fails stand how musicians and bioacousti- sical notation in his Field Book of Wild to objectively describe birdsongs and cians measure pitch change. Musicians Birds and Their Music in order to help calls. For bioacousticians, accurate ob- describe the change between any two readers identify species common in the servations are a crucial first step in notes on the musical scale as an in- eastern United States. analyzing the role of songs in the life terval. The interval between any two Later biologists did not share of a species. adjacent notes is defined as a semi- Mathews’s enthusiasm for musical Modern ornithologists believe that tone. The ratio between the frequen- songbirds first appeared some 40 mil- cies (measured in cycles per second, lion to 50 million years before human or hertz [Hz]) of the higher and lower Ronald Weisman is a professor emeritus of psy- chology and biology at Queen’s University in beings. That people derive pleasure of two notes separated by a semitone Kingston, Ontario, where he was on the faculty for from birdsongs and recognize their is always 1.059, regardless of where 36 years. He received his Ph.D. with a concentra- musical features suggests that despite the two notes are located on the scale. tion in comparative psychology from Michigan the vast evolutionary gulf between Musicians speak of semitones and in- State University in 1964. He is the author of 90 birds and mammals, songbirds and tervals; bioacousticians use the terms articles and book chapters about animal cognition humans share some common auditory frequencies and frequency ratios. and evolution and continues to conduct research perceptual abilities. In this article, we Pianos and keyboards easily illustrate on songbird communication and the evolution focus on relative pitch, the ability to rec- the discrete intervals between notes. For of pitch perception. Laurene Ratcliffe is a profes- ognize relationships between acoustic example, hitting the E note in the fourth sor of biology, psychology and women’s studies frequencies. We review studies sug- octave (E4, 330 Hz), then counting at Queen’s University. She received her Ph.D. in biology, for research in animal behavior, from gesting that humans and songbirds down four keys (where both black and McGill University in Montréal in 1981. Address share the ability to perceive relative white keys are counted) and hitting the for Weisman: Department of Psychology, Queen’s pitch changes and exploring the evolu- C note in the same octave (C4, 262 Hz) University, Kingston, ON, K7K 3N6, Canada. tionary functions of birds’ perception produces a relative pitch change of four Internet: [email protected] and use of relative pitch. semitones, as measured by musicians, © 2004 Sigma Xi, The Scientific Research Society. Reproduction 532 American Scientist, Volume 92 with permission only. Contact [email protected]. Figure 1. Black-capped chickadees are noisy and highly social birds with two common vocalizations—their universal “chick-a-dee” call and the sweetly whistled “fee-bee” song. Males, like the one shown singing here from a post in his territory, sing the fee-bee song, primarily during the breeding season, when they use it to protect territory and to attract females. In this article, the authors show that the seemingly simple fee-bee song holds precise pitch cues that signal a male’s quality. (Photograph courtesy of Dan Mennill.) and a frequency ratio of 1.26, as mea- voice can vary in pitch continuously ent renditions of the same melody. In sured by bioacousticians. One can easily from one frequency to another, that is comparing relative pitch perceptions transpose a four-semitone pitch change not the way humans use their voices across species, we use low variabil- on a piano. For example, moving up or their musical instruments. People ity about mean frequency ratios in the the keyboard and hitting the E note in produce pitch changes with low vari- same song across singers to provide the fifth octave (E5, 659 Hz) and the C ability about their frequency ratios. evidence that songbirds, like people, note in the same octave (C5, 523 Hz) Humans recognize pitch changes have a strong sense of relative pitch. produces the same relative pitch change in discrete intervals and are good at as in the fourth octave: four semitones identifying notes relative to an exter- Black-Capped Chickadees or a frequency ratio of 1.26. Although nal reference pitch—in other words, Songbirds belong to the class Aves, they use different notations, musicians relative pitch. Most people easily rec- which includes all birds, the order and bioacousticians agree on the con- ognize a melody transposed to a differ- Passeriformes, consisting of perching stancy of pitch change across the keys. If ent key, or starting frequency, because birds, and the suborder Oscines, the one measured the frequencies produced the song maintains the same intervals, true songbirds. The true songbirds are by hitting E4 and then C4 on each of or frequency ratios, among the notes. distinguished from other perching birds 20 pianos, the average ratio should be Trained musicians, of course, are better by the anatomy of their vocal organ, the 1.26 with a very small standard devia- than others at identifying intervals and syrinx, and by the fact that they need tion among the pianos. The small stan- transposed melodies, but practically to learn their songs while juveniles dard deviation helps illustrate that pitch everyone has some sense of relative from adult members of the same spe- changes in music are discrete. pitch in simple melodies. For example, cies. Oscines are an evolutionary suc- Keyed instruments, such as pianos, people instantly recognize the song cess, comprising about half of the more are constrained to produce discrete “Happy Birthday” regardless of the than 9,000 species of birds and filling pitches, whereas keyless instruments, key in which it’s sung. niches in almost every environment on such as violins and human voices, can Human musicians have not artifi- the planet. Because songbirds are so produce pitches that vary continuous- cially adopted common scales to co- diverse in appearance and behavior, no ly. In practice, however, trained violin- ordinate their musical performances; single species can represent the whole ists and singers produce discrete pitch people, whether musicians or not, group. Our studies ask not whether all changes analogous to a piano’s keys. produce and perceive discrete, con- species of songbirds use relative pitch Put another way, although the human stant frequency ratios across differ- to produce and perceive songs but © 2004 Sigma Xi, The Scientific Research Society. Reproduction www.americanscientist.org with permission only. Contact [email protected]. 2004 November–December 533 semitonessemitones intervals andintervals their frequency and their frequencyratios across ratios an acrossoctave an octave semitones interval name semitones interval name ratio ratio 0 1.000 0 unison unison 1.000 1 1.059 1 minor secondminor second 1.059 2 1.122 2 major secondmajor second 1.122 4 1.260 4 major thirdmajor third 1.260 C C2 8 1.498 C C2 8 fifth fifth 1.498 12 2.000 12 octave octave 2.000 2 2 1 2 2 2 2 2 1 2 2 1 2 1 Figure 2. Piano keyboard illustrates the concept of a semitone—the musical interval between any two adjacent notes. When a black piano key lies between two white keys, those white keys are separated by two semitone intervals.
Recommended publications
  • Absolute and Relative Pitch Processing in the Human Brain: Neural and Behavioral Evidence
    bioRxiv preprint doi: https://doi.org/10.1101/526541; this version posted March 18, 2019. The copyright holder for this preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under aCC-BY 4.0 International license. Absolute and relative pitch processing in the human brain: Neural and behavioral evidence Simon Leipold a, Christian Brauchli a, Marielle Greber a, Lutz Jäncke a, b, c Author Affiliations a Division Neuropsychology, Department of Psychology, University of Zurich, 8050 Zurich, Switzerland b University Research Priority Program (URPP), Dynamics of Healthy Aging, University of Zurich, 8050 Zurich, Switzerland c Department of Special Education, King Abdulaziz University, 21589 Jeddah, Kingdom of Saudi Arabia Corresponding Authors Simon Leipold Binzmühlestrasse 14, Box 25 CH-8050 Zürich Switzerland [email protected] Lutz Jäncke Binzmühlestrasse 14, Box 25 CH-8050 Zürich Switzerland [email protected] Keywords Absolute Pitch, Multivariate Pattern Analysis, Neural Efficiency, Pitch Processing, fMRI Acknowledgements This work was supported by the Swiss National Science Foundation (SNSF), grant no. 320030_163149 to LJ. We thank our research interns Anna Speckert, Chantal Oderbolz, Désirée Yamada, Fabian Demuth, Florence Bernays, Joëlle Albrecht, Kathrin Baur, Laura Keller, Marilena Wilding, Melek Haçan, Nicole Hedinger, Pascal Misala, Petra Meier, Sarah Appenzeller, Tenzin Dotschung, Valerie Hungerbühler, Vanessa Vallesi,
    [Show full text]
  • TUNING JUDGMENTS 1 1 2 3 4 Does Tuning Influence Aesthetic
    TUNING JUDGMENTS 1 1 2 3 4 5 Does Tuning Influence Aesthetic Judgments of Music? Investigating the Generalizability 6 of Absolute Intonation Ability 7 8 Stephen C. Van Hedger 1 2 and Huda Khudhair 1 9 10 11 1 Department of Psychology, Huron University College at Western 12 2 Department of Psychology & Brain and Mind Institute, University of Western Ontario 13 14 15 16 17 18 19 20 Author Note 21 Word Count (Main Body): 7,535 22 Number of Tables: 2 23 Number of Figures: 2 24 We have no known conflict of interests to disclose. 25 All materials and data associated with this manuscript can be accessed via Open Science 26 Framework (https://osf.io/zjcvd/) 27 Correspondences should be sent to: 28 Stephen C. Van Hedger, Department of Psychology, Huron University College at Western: 1349 29 Western Road, London, ON, N6G 1H3 Canada [email protected] 30 31 32 TUNING JUDGMENTS 2 1 Abstract 2 Listening to music is an enjoyable activity for most individuals, yet the musical factors that relate 3 to aesthetic experiences are not completely understood. In the present paper, we investigate 4 whether the absolute tuning of music implicitly influences listener evaluations of music, as well 5 as whether listeners can explicitly categorize musical sounds as “in tune” versus “out of tune” 6 based on conventional tuning standards. In Experiment 1, participants rated unfamiliar musical 7 excerpts, which were either tuned conventionally or unconventionally, in terms of liking, interest, 8 and unusualness. In Experiment 2, participants were asked to explicitly judge whether several 9 types of musical sounds (isolated notes, chords, scales, and short excerpts) were “in tune” or 10 “out of tune.” The results suggest that the absolute tuning of music has no influence on listener 11 evaluations of music (Experiment 1), and these null results are likely caused, in part, by an 12 inability for listeners to explicitly differentiate in-tune from out-of-tune musical excerpts 13 (Experiment 2).
    [Show full text]
  • Philosophy of Music Education
    University of New Hampshire University of New Hampshire Scholars' Repository Honors Theses and Capstones Student Scholarship Spring 2017 Philosophy of Music Education Mary Elizabeth Barba Follow this and additional works at: https://scholars.unh.edu/honors Part of the Music Education Commons, and the Music Pedagogy Commons Recommended Citation Barba, Mary Elizabeth, "Philosophy of Music Education" (2017). Honors Theses and Capstones. 322. https://scholars.unh.edu/honors/322 This Senior Honors Thesis is brought to you for free and open access by the Student Scholarship at University of New Hampshire Scholars' Repository. It has been accepted for inclusion in Honors Theses and Capstones by an authorized administrator of University of New Hampshire Scholars' Repository. For more information, please contact [email protected]. Philosophy of Music Education Mary Barba Dr. David Upham December 9, 2016 Barba 1 Philosophy of Music Education A philosophy of music education refers to the value of music, the value of teaching music, and how to practically utilize those values in the music classroom. Bennet Reimer, a renowned music education philosopher, wrote the following, regarding the value of studying the philosophy of music education: “To the degree we can present a convincing explanation of the nature of the art of music and the value of music in the lives of people, to that degree we can present a convincing picture of the nature of music education and its value for human life.”1 In this thesis, I will explore the philosophies of Emile Jacques-Dalcroze, Carl Orff, Zoltán Kodály, Bennett Reimer, and David Elliott, and suggest practical applications of their philosophies in the orchestral classroom, especially in the context of ear training and improvisation.
    [Show full text]
  • Effects of Harmonics on Relative Pitch Discrimination in a Musical Context
    Perception & Psychophysics 1996, 58 (5), 704-712 Effects of harmonics on relative pitch discrimination in a musical context LAUREL J. TRAINOR McMaster University, Hamilton, Ontario, Canada The contribution of different harmonics to pitch salience in a musical context was examined by re­ quiring subjects to discriminate a small (% semitone) pitch change in one note of a melody that re­ peated in transposition. In Experiment 1,performance was superior when more harmonics were pres­ ent (first five vs. fundamental alone) and when the second harmonic (of tones consisting of the first two harmonics) was in tune compared with when it was out of tune. In Experiment 2, the effects ofhar­ monies 6 and 8, which stand in octave-equivalent simple ratios to the fundamental (2:3 and 1:2, re­ spectively) were compared with harmonics 5 and 7, which stand in more complex ratios (4:5 and 4:7, respectively). When the harmonics fused into a single percept (tones consisting of harmonics 1,2, and one of 5, 6, 7, or 8), performance was higher when harmonics 6 or 8 were present than when harmon­ ics 5 or 7 were present. When the harmonics did not fuse into a single percept (tones consisting of the fundamental and one of 5, 6, 7, or 8), there was no effect of ratio simplicity. This paper examines the contribution of different har­ gion depended to some extent on the fundamental fre­ monics to relative pitch discrimination in a musical con­ quency: The fourth and higher harmonics dominated for text. Relative pitch discrimination refers to the ability to fundamental frequencies up to 350 Hz, the third and higher compare the pitch interval (i.e., distance on a log frequency for fundamentals between 350 and 700 Hz, the second and scale) between one set oftwo tones and another, where the higher for fundamental frequencies between 700 and fundamentals ofthe tones are at different absolute frequen­ 1400 Hz, and the first for frequencies above 1400 Hz.
    [Show full text]
  • Articulation from Wikipedia, the Free Encyclopedia
    Articulation From Wikipedia, the free encyclopedia Examples of Articulations: staccato, staccatissimo,martellato, marcato, tenuto. In music, articulation refers to the musical performance technique that affects the transition or continuity on a single note, or between multiple notes or sounds. Types of articulations There are many types of articulation, each with a different effect on how the note is played. In music notation articulation marks include the slur, phrase mark, staccato, staccatissimo, accent, sforzando, rinforzando, and legato. A different symbol, placed above or below the note (depending on its position on the staff), represents each articulation. Tenuto Hold the note in question its full length (or longer, with slight rubato), or play the note slightly louder. Marcato Indicates a short note, long chord, or medium passage to be played louder or more forcefully than surrounding music. Staccato Signifies a note of shortened duration Legato Indicates musical notes are to be played or sung smoothly and connected. Martelato Hammered or strongly marked Compound articulations[edit] Occasionally, articulations can be combined to create stylistically or technically correct sounds. For example, when staccato marks are combined with a slur, the result is portato, also known as articulated legato. Tenuto markings under a slur are called (for bowed strings) hook bows. This name is also less commonly applied to staccato or martellato (martelé) markings. Apagados (from the Spanish verb apagar, "to mute") refers to notes that are played dampened or "muted," without sustain. The term is written above or below the notes with a dotted or dashed line drawn to the end of the group of notes that are to be played dampened.
    [Show full text]
  • 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.
    [Show full text]
  • A Definition of Song from Human Music Universals Observed in Primate Calls
    bioRxiv preprint doi: https://doi.org/10.1101/649459; this version posted May 24, 2019. The copyright holder for this preprint (which was not certified by peer review) is the author/funder. This article is a US Government work. It is not subject to copyright under 17 USC 105 and is also made available for use under a CC0 license. A definition of song from human music universals observed in primate calls David Schruth1*, Christopher N. Templeton2, Darryl J. Holman1 1 Department of Anthropology, University of Washington 2 Department of Biology, Pacific University *Corresponding author, [email protected] bioRxiv preprint doi: https://doi.org/10.1101/649459; this version posted May 24, 2019. The copyright holder for this preprint (which was not certified by peer review) is the author/funder. This article is a US Government work. It is not subject to copyright under 17 USC 105 and is also made available for use under a CC0 license. Abstract Musical behavior is likely as old as our species with song originating as early as 60 million years ago in the primate order. Early singing likely evolved into the music of modern humans via multiple selective events, but efforts to disentangle these influences have been stifled by challenges to precisely define this behavior in a broadly applicable way. Detailed here is a method to quantify the elaborateness of acoustic displays using published spectrograms (n=832 calls) culled from the literature on primate vocalizations. Each spectrogram was scored by five trained analysts via visual assessments along six musically relevant acoustic parameters: tone, interval, transposition, repetition, rhythm, and syllabic variation.
    [Show full text]
  • Glissando Harp Manual
    C A Glissando Harps Manual v 2.0 rev 2.0.0 - Nov. 12th, 2018 Welcome Thank you very much for purchasing Glissando Harps for Kontakt! We hope you’ll make the best out of these carefully crafted Virtual Instruments. A Few Words on the Sounds of Glissando Harps The two harps making up Glissando Harps, Concert and Orchestral, were sampled in two very different venues, with different instruments, players, microphone and preamp setups. This was done on purpose. To put in your hands two complementary instruments, allowing for the best sound to fit many different composing scenarios. For Concert Harp we chose a small live room. For this reason when we set up for the next chapter, Glissando Orchestral Harp, we chose a studio, Sotto Il Mare Recording Studios (near Verona in Italy), famous for their wonderful analog equipment and a resounding live room. This setup allowed us to capture more microphone perspectives than we had for Glissando Concert Harp. So, to sum up: Glissando Harps Glissando Concert Harp Small recording venue, best fit for intimate or in-your-face kind of parts; also good for characterization with additional reverbs and Efx. Three microphone channels: an AB stereo setup with a Schoeps CMC64 matched pair and a Mid-Side setup with Neumann M140 as mid and Royer R121 as side. Glissando Orchestral Harp Large recording venue, perfect when you need to position the harp in an orchestral scenario, both as accompanist and as a soloist. Eight microphone channels, combined in five “movie-city-named” nki instruments. An LCR (wide AB + central mono) with Schopes CMC64 and Soundelux U195, the mono Soundelux U195 by itself, another wide AB with ribbon AEA N22 matched pair.
    [Show full text]
  • Music Braille Code, 2015
    MUSIC BRAILLE CODE, 2015 Developed Under the Sponsorship of the BRAILLE AUTHORITY OF NORTH AMERICA Published by The Braille Authority of North America ©2016 by the Braille Authority of North America All rights reserved. This material may be duplicated but not altered or sold. ISBN: 978-0-9859473-6-1 (Print) ISBN: 978-0-9859473-7-8 (Braille) Printed by the American Printing House for the Blind. Copies may be purchased from: American Printing House for the Blind 1839 Frankfort Avenue Louisville, Kentucky 40206-3148 502-895-2405 • 800-223-1839 www.aph.org [email protected] Catalog Number: 7-09651-01 The mission and purpose of The Braille Authority of North America are to assure literacy for tactile readers through the standardization of braille and/or tactile graphics. BANA promotes and facilitates the use, teaching, and production of braille. It publishes rules, interprets, and renders opinions pertaining to braille in all existing codes. It deals with codes now in existence or to be developed in the future, in collaboration with other countries using English braille. In exercising its function and authority, BANA considers the effects of its decisions on other existing braille codes and formats, the ease of production by various methods, and acceptability to readers. For more information and resources, visit www.brailleauthority.org. ii BANA Music Technical Committee, 2015 Lawrence R. Smith, Chairman Karin Auckenthaler Gilbert Busch Karen Gearreald Dan Geminder Beverly McKenney Harvey Miller Tom Ridgeway Other Contributors Christina Davidson, BANA Music Technical Committee Consultant Richard Taesch, BANA Music Technical Committee Consultant Roger Firman, International Consultant Ruth Rozen, BANA Board Liaison iii TABLE OF CONTENTS ACKNOWLEDGMENTS ..............................................................
    [Show full text]
  • Music Is Made up of Many Different Things Called Elements. They Are the “I Feel Like My Kind Building Bricks of Music
    SECONDARY/KEY STAGE 3 MUSIC – BUILDING BRICKS 5 MINUTES READING #1 Music is made up of many different things called elements. They are the “I feel like my kind building bricks of music. When you compose a piece of music, you use the of music is a big pot elements of music to build it, just like a builder uses bricks to build a house. If of different spices. the piece of music is to sound right, then you have to use the elements of It’s a soup with all kinds of ingredients music correctly. in it.” - Abigail Washburn What are the Elements of Music? PITCH means the highness or lowness of the sound. Some pieces need high sounds and some need low, deep sounds. Some have sounds that are in the middle. Most pieces use a mixture of pitches. TEMPO means the fastness or slowness of the music. Sometimes this is called the speed or pace of the music. A piece might be at a moderate tempo, or even change its tempo part-way through. DYNAMICS means the loudness or softness of the music. Sometimes this is called the volume. Music often changes volume gradually, and goes from loud to soft or soft to loud. Questions to think about: 1. Think about your DURATION means the length of each sound. Some sounds or notes are long, favourite piece of some are short. Sometimes composers combine long sounds with short music – it could be a song or a piece of sounds to get a good effect. instrumental music. How have the TEXTURE – if all the instruments are playing at once, the texture is thick.
    [Show full text]
  • Frequency Ratios and the Perception of Tone Patterns
    Psychonomic Bulletin & Review 1994, 1 (2), 191-201 Frequency ratios and the perception of tone patterns E. GLENN SCHELLENBERG University of Windsor, Windsor, Ontario, Canada and SANDRA E. TREHUB University of Toronto, Mississauga, Ontario, Canada We quantified the relative simplicity of frequency ratios and reanalyzed data from several studies on the perception of simultaneous and sequential tones. Simplicity offrequency ratios accounted for judgments of consonance and dissonance and for judgments of similarity across a wide range of tasks and listeners. It also accounted for the relative ease of discriminating tone patterns by musically experienced and inexperienced listeners. These findings confirm the generality ofpre­ vious suggestions of perceptual processing advantages for pairs of tones related by simple fre­ quency ratios. Since the time of Pythagoras, the relative simplicity of monics of a single complex tone. Currently, the degree the frequency relations between tones has been consid­ of perceived consonance is believed to result from both ered fundamental to consonance (pleasantness) and dis­ sensory and experiential factors. Whereas sensory con­ sonance (unpleasantness) in music. Most naturally OCCUf­ sonance is constant across musical styles and cultures, mu­ ring tones (e.g., the sounds of speech or music) are sical consonance presumably results from learning what complex, consisting of multiple pure-tone (sine wave) sounds pleasant in a particular musical style. components. Terhardt (1974, 1978, 1984) has suggested Helmholtz (1885/1954) proposed that the consonance that relations between different tones may be influenced of two simultaneous complex tones is a function of the by relations between components of a single complex tone. ratio between their fundamental frequencies-the simpler For single complex tones, ineluding those of speech and the ratio, the more harmonics the tones have in common.
    [Show full text]
  • A Guide to Extended Techniques for the Violoncello - By
    Where will it END? -Or- A guide to extended techniques for the Violoncello - By Dylan Messina 1 Table of Contents Part I. Techniques 1. Harmonics……………………………………………………….....6 “Artificial” or “false” harmonics Harmonic trills 2. Bowing Techniques………………………………………………..16 Ricochet Bowing beyond the bridge Bowing the tailpiece Two-handed bowing Bowing on string wrapping “Ugubu” or “point-tap” effect Bowing underneath the bridge Scratch tone Two-bow technique 3. Col Legno............................................................................................................21 Col legno battuto Col legno tratto 4. Pizzicato...............................................................................................................22 “Bartok” Dead Thumb-Stopped Tremolo Fingernail Quasi chitarra Beyond bridge 5. Percussion………………………………………………………….25 Fingerschlag Body percussion 6. Scordatura…………………………………………………….….28 2 Part II. Documentation Bibliography………………………………………………………..29 3 Introduction My intent in creating this project was to provide composers of today with a new resource; a technical yet pragmatic guide to writing with extended techniques on the cello. The cello has a wondrously broad spectrum of sonic possibility, yet must be approached in a different way than other string instruments, owing to its construction, playing orientation, and physical mass. Throughout the history of the cello, many resources regarding the core technique of the cello have been published; this book makes no attempt to expand on those sources. Divers resources are also available regarding the cello’s role in orchestration; these books, however, revolve mostly around the use of the instrument as part of a sonically traditional sensibility. The techniques discussed in this book, rather, are the so-called “extended” techniques; those that are comparatively rare in music of the common practice, and usually not involved within the elemental skills of cello playing, save as fringe oddities or practice techniques.
    [Show full text]