Neurocognition of Major-Minor and Consonance-Dissonance
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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 The copyright holder for this preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity.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, -
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). -
On Modulation —
— On Modulation — Dean W. Billmeyer University of Minnesota American Guild of Organists National Convention June 25, 2008 Some Definitions • “…modulating [is] going smoothly from one key to another….”1 • “Modulation is the process by which a change of tonality is made in a smooth and convincing way.”2 • “In tonal music, a firmly established change of key, as opposed to a passing reference to another key, known as a ‘tonicization’. The scale or pitch collection and characteristic harmonic progressions of the new key must be present, and there will usually be at least one cadence to the new tonic.”3 Some Considerations • “Smoothness” is not necessarily a requirement for a successful modulation, as much tonal literature will illustrate. A “convincing way” is a better criterion to consider. • A clear establishment of the new key is important, and usually a duration to the modulation of some length is required for this. • Understanding a modulation depends on the aural perception of the listener; hence, some ambiguity is inherent in distinguishing among a mere tonicization, a “false” modulation, and a modulation. • A modulation to a “foreign” key may be easier to accomplish than one to a diatonically related key: the ear is forced to interpret a new key quickly when there is a large change in the number of accidentals (i.e., the set of pitch classes) in the keys used. 1 Max Miller, “A First Step in Keyboard Modulation”, The American Organist, October 1982. 2 Charles S. Brown, CAGO Study Guide, 1981. 3 Janna Saslaw: “Modulation”, Grove Music Online ed. L. Macy (Accessed 5 May 2008), http://www.grovemusic.com. -
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. -
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. -
A Group-Theoretical Classification of Three-Tone and Four-Tone Harmonic Chords3
A GROUP-THEORETICAL CLASSIFICATION OF THREE-TONE AND FOUR-TONE HARMONIC CHORDS JASON K.C. POLAK Abstract. We classify three-tone and four-tone chords based on subgroups of the symmetric group acting on chords contained within a twelve-tone scale. The actions are inversion, major- minor duality, and augmented-diminished duality. These actions correspond to elements of symmetric groups, and also correspond directly to intuitive concepts in the harmony theory of music. We produce a graph of how these actions relate different seventh chords that suggests a concept of distance in the theory of harmony. Contents 1. Introduction 1 Acknowledgements 2 2. Three-tone harmonic chords 2 3. Four-tone harmonic chords 4 4. The chord graph 6 References 8 References 8 1. Introduction Early on in music theory we learn of the harmonic triads: major, minor, augmented, and diminished. Later on we find out about four-note chords such as seventh chords. We wish to describe a classification of these types of chords using the action of the finite symmetric groups. We represent notes by a number in the set Z/12 = {0, 1, 2,..., 10, 11}. Under this scheme, for example, 0 represents C, 1 represents C♯, 2 represents D, and so on. We consider only pitch classes modulo the octave. arXiv:2007.03134v1 [math.GR] 6 Jul 2020 We describe the sounding of simultaneous notes by an ordered increasing list of integers in Z/12 surrounded by parentheses. For example, a major second interval M2 would be repre- sented by (0, 2), and a major chord would be represented by (0, 4, 7). -
Many of Us Are Familiar with Popular Major Chord Progressions Like I–IV–V–I
Many of us are familiar with popular major chord progressions like I–IV–V–I. Now it’s time to delve into the exciting world of minor chords. Minor scales give flavor and emotion to a song, adding a level of musical depth that can make a mediocre song moving and distinct from others. Because so many of our favorite songs are in major keys, those that are in minor keys1 can stand out, and some musical styles like rock or jazz thrive on complex minor scales and harmonic wizardry. Minor chord progressions generally contain richer harmonic possibilities than the typical major progressions. Minor key songs frequently modulate to major and back to minor. Sometimes the same chord can appear as major and minor in the very same song! But this heady harmonic mix is nothing to be afraid of. By the end of this article, you’ll not only understand how minor chords are made, but you’ll know some common minor chord progressions, how to write them, and how to use them in your own music. With enough listening practice, you’ll be able to recognize minor chord progressions in songs almost instantly! Table of Contents: 1. A Tale of Two Tonalities 2. Major or Minor? 3. Chords in Minor Scales 4. The Top 3 Chords in Minor Progressions 5. Exercises in Minor 6. Writing Your Own Minor Chord Progressions 7. Your Minor Journey 1 https://www.musical-u.com/learn/the-ultimate-guide-to-minor-keys A Tale of Two Tonalities Western music is dominated by two tonalities: major and minor. -
Arpeggios - Defined & Application an Arpeggio Is the Notes of a Chord Played Individually
Arpeggios - Defined & Application An arpeggio is the notes of a chord played individually. You can get creative with arpeggios and generate all kinds of unique sounds. Arpeggios can be utilized to outline chords, create melody lines, build riffs, add notes for color, and much more - the sky is the limit! KEY POINTS: There are a few key points to consider when playing arpeggios. The first is you want to hear the arpeggio one note at a time. You don’t want the arpeggio to sound like a strummed chord. You want to hear each note of the arpeggio individually. Arpeggios are the notes that make The goal is to infer the color of the chord with the arpeggio. Kill each note after it is played by muting the strings so the notes dont bleed into each up a chord. other. Another key to good arpeggio playing is mixing arpeggios together with scales, modes, and licks. Mix them into your lead lines as per the video lessons from this course. Try creating musical phrases combining Be sure to sound arpeggios with scales and licks. each note of the arpeggio Another key point is knowing where the arpeggios “live” within a scale. You want to be able to grab arpeggios quickly. Over utilizing the same individually. You three note triads up and down the neck can often sound a bit sterile and don’t want the non-melodic. So be sure to mix the arpeggio in with other scales and licks. arpeggio to sound Often when playing arpeggios you may need to utilize the same finger for like a strummed two or more adjacent strings. -
Chapter 21 on Modal Mixture
CHAPTER21 Modal Mixture Much music of the late eighteenth and early nineteenth centuries commonly employs a type of chromaticism that cannot be said to derive from applied functions and tonicization. In fact, the chromaticism often appears to be nonfunctional-a mere coloring of the melodic and harmonic surface of the music. Listen to the two phrases of Example 21.1. The first phrase (mm. 1-8) contains exclusively diatonic harmonies, but the second phrase (mm. 11-21) is full of chromaticism. This creates sonorities, such as the A~-major chord in m. 15, which appear to be distant from the underlying F-major tonic. The chromatic harmonies in mm. 11-20 have been labeled with letter names that indicate the root and quality of the chord. EXAMPLE 21.1 Mascagni, "A casa amici" ("Homeward, friends"), Cavalleria Rusticana, scene 9 418 CHAPTER 21 MODAL MIXTURE 419 These sonorities share an important feature: All but the cadential V-I are members of the parallel mode, F minor. Viewing this progression through the lens of F minor reveals a simple bass arpeggiation that briefly tonicizes 420 THE COMPLETE MUSICIAN III (A~), then moves to PD and D, followed by a final resolution to major tonic in the major mode. The Mascagni excerpt is quite remarkable in its tonal plan. Although it begins and ends in F major, a significant portion of the music behaves as though written in F minor. This technique of borrowing harmonies from the parallel mode is called modal mixture (sometimes known simply as mixture). We have already encountered two instances of modal mixture. -
Music in Theory and Practice
CHAPTER 4 Chords Harmony Primary Triads Roman Numerals TOPICS Chord Triad Position Simple Position Triad Root Position Third Inversion Tertian First Inversion Realization Root Second Inversion Macro Analysis Major Triad Seventh Chords Circle Progression Minor Triad Organum Leading-Tone Progression Diminished Triad Figured Bass Lead Sheet or Fake Sheet Augmented Triad IMPORTANT In the previous chapter, pairs of pitches were assigned specifi c names for identifi cation CONCEPTS purposes. The phenomenon of tones sounding simultaneously frequently includes group- ings of three, four, or more pitches. As with intervals, identifi cation names are assigned to larger tone groupings with specifi c symbols. Harmony is the musical result of tones sounding together. Whereas melody implies the Harmony linear or horizontal aspect of music, harmony refers to the vertical dimension of music. A chord is a harmonic unit with at least three different tones sounding simultaneously. Chord The term includes all possible such sonorities. Figure 4.1 #w w w w w bw & w w w bww w ww w w w w w w w‹ Strictly speaking, a triad is any three-tone chord. However, since western European music Triad of the seventeenth through the nineteenth centuries is tertian (chords containing a super- position of harmonic thirds), the term has come to be limited to a three-note chord built in superposed thirds. The term root refers to the note on which a triad is built. “C major triad” refers to a major Triad Root triad whose root is C. The root is the pitch from which a triad is generated. 73 3711_ben01877_Ch04pp73-94.indd 73 4/10/08 3:58:19 PM Four types of triads are in common use. -
A Picture Is Worth a Thousand Songs: Exploring Visual Aspects of Music
A Picture is Worth a Thousand Songs: Exploring Visual Aspects of Music Alexander Schindler Safety & Security Department AIT Austrian Institute of Technology GmbH Vienna, Austria [email protected] ABSTRACT The abstract nature of music makes it intrinsically hard to describe. To alleviate this problem we use well known songs or artists as a reference to describe new music. Music infor- mation research has mimicked this behavior by introducing Figure 1: Examples of music genres that are easy to identify in images - a) Dance, b) Rock, c) Heavy Metal, d) Rap search systems that rely on prototypical songs. Based on similarity models deducing from signal processing or collab- of music" became an important factor in people's apprecia- orative filtering an according list of songs with similar prop- tion of music and the rise of music videos in the early 80s erties is retrieved. Yet, music is often searched for a specific provided further momentum to this development. In that intention such as music for workout, to focus or for a com- period the structure of the prevalent music business changed fortable dinner with friends. Modeling music similarities completely by shifting the focus from selling whole records based on such criteria is in many cases problematic or vi- to hit singles [2]. Their accentuation and the new accompa- sionary. Despite these open research challenges a more user nied intensification of celebrity around pop music played an focused question should be raised: Which interface is ade- important role in the development of the pinup culture. This quate for describing such intentions? Traditionally queries emphasis on visual aspects of music transcended from top- are either based on text input or seed songs. -
Major and Minor Scales Half and Whole Steps
Dr. Barbara Murphy University of Tennessee School of Music MAJOR AND MINOR SCALES HALF AND WHOLE STEPS: half-step - two keys (and therefore notes/pitches) that are adjacent on the piano keyboard whole-step - two keys (and therefore notes/pitches) that have another key in between chromatic half-step -- a half step written as two of the same note with different accidentals (e.g., F-F#) diatonic half-step -- a half step that uses two different note names (e.g., F#-G) chromatic half step diatonic half step SCALES: A scale is a stepwise arrangement of notes/pitches contained within an octave. Major and minor scales contain seven notes or scale degrees. A scale degree is designated by an Arabic numeral with a cap (^) which indicate the position of the note within the scale. Each scale degree has a name and solfege syllable: SCALE DEGREE NAME SOLFEGE 1 tonic do 2 supertonic re 3 mediant mi 4 subdominant fa 5 dominant sol 6 submediant la 7 leading tone ti MAJOR SCALES: A major scale is a scale that has half steps (H) between scale degrees 3-4 and 7-8 and whole steps between all other pairs of notes. 1 2 3 4 5 6 7 8 W W H W W W H TETRACHORDS: A tetrachord is a group of four notes in a scale. There are two tetrachords in the major scale, each with the same order half- and whole-steps (W-W-H). Therefore, a tetrachord consisting of W-W-H can be the top tetrachord or the bottom tetrachord of a major scale.