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Naming a Chord Once You Know the Common Names of the Intervals, the Naming of Chords Is a Little Less Daunting
Naming a Chord Once you know the common names of the intervals, the naming of chords is a little less daunting. Still, there are a few conventions and short-hand terms that many musicians use, that may be confusing at times. A few terms are used throughout the maze of chord names, and it is good to know what they refer to: Major / Minor – a “minor” note is one half step below the “major.” When naming intervals, all but the “perfect” intervals (1,4, 5, 8) are either major or minor. Generally if neither word is used, major is assumed, unless the situation is obvious. However, when used in naming extended chords, the word “minor” usually is reserved to indicate that the third of the triad is flatted. The word “major” is reserved to designate the major seventh interval as opposed to the minor or dominant seventh. It is assumed that the third is major, unless the word “minor” is said, right after the letter name of the chord. Similarly, in a seventh chord, the seventh interval is assumed to be a minor seventh (aka “dominant seventh), unless the word “major” comes right before the word “seventh.” Thus a common “C7” would mean a C major triad with a dominant seventh (CEGBb) While a “Cmaj7” (or CM7) would mean a C major triad with the major seventh interval added (CEGB), And a “Cmin7” (or Cm7) would mean a C minor triad with a dominant seventh interval added (CEbGBb) The dissonant “Cm(M7)” – “C minor major seventh” is fairly uncommon outside of modern jazz: it would mean a C minor triad with the major seventh interval added (CEbGB) Suspended – To suspend a note would mean to raise it up a half step. -
A. Types of Chords in Tonal Music
1 Kristen Masada and Razvan Bunescu: A Segmental CRF Model for Chord Recognition in Symbolic Music A. Types of Chords in Tonal Music minished triads most frequently contain a diminished A chord is a group of notes that form a cohesive har- seventh interval (9 half steps), producing a fully di- monic unit to the listener when sounding simulta- minished seventh chord, or a minor seventh interval, neously (Aldwell et al., 2011). We design our sys- creating a half-diminished seventh chord. tem to handle the following types of chords: triads, augmented 6th chords, suspended chords, and power A.2 Augmented 6th Chords chords. An augmented 6th chord is a type of chromatic chord defined by an augmented sixth interval between the A.1 Triads lowest and highest notes of the chord (Aldwell et al., A triad is the prototypical instance of a chord. It is 2011). The three most common types of augmented based on a root note, which forms the lowest note of a 6th chords are Italian, German, and French sixth chord in standard position. A third and a fifth are then chords, as shown in Figure 8 in the key of A minor. built on top of this root to create a three-note chord. In- In a minor scale, Italian sixth chords can be seen as verted triads also exist, where the third or fifth instead iv chords with a sharpened root, in the first inversion. appears as the lowest note. The chord labels used in Thus, they can be created by stacking the sixth, first, our system do not distinguish among inversions of the and sharpened fourth scale degrees. -
The Misunderstood Eleventh Amendment
UNIVERSITY of PENNSYLVANIA LAW REVIEW Founded !"#$ Formerly AMERICAN LAW REGISTER © !"!# University of Pennsylvania Law Review VOL. !"# FEBRUARY $%$! NO. & ARTICLE THE MISUNDERSTOOD ELEVENTH AMENDMENT WILLIAM BAUDE† & STEPHEN E. SACHS†† The Eleventh Amendment might be the most misunderstood amendment to the Constitution. Both its friends and enemies have treated the Amendment’s written † Professor of Law, University of Chicago Law School. †† Colin W. Brown Professor of Law, Duke University School of Law. We are grateful for comments and suggestions from Sam Bray, Tom Colby, Scott Dodson, Jonathan Gienapp, Tara Grove, Julian Davis Mortenson, Caleb Nelson, Jim Pfander, Richard Re, Amanda Schwoerke, Eric Segall, Jonathan Urick, Ingrid Wuerth, and from participants in the Fall Speaker Series of the Georgetown Center for the Constitution, the Hugh & Hazel Darling Foundation Originalism Works-in-Progress Conference at the University of San Diego Law School, and Advanced Topics in Federal Courts at the University of Virginia School of Law. Thanks as well to Brendan Anderson, Kurtis Michael, and Scotty Schenck for research assistance, and to the SNR Denton Fund and Alumni Faculty Fund at Chicago for research support. (!"#) !"# University of Pennsylvania Law Review [Vol. "!$: !#$ text, and the unwritten doctrines of state sovereign immunity, as one and the same— reading broad principles into its precise words, or treating the written Amendment as merely illustrative of unwritten doctrines. The result is a bewildering forest of case law, which takes neither the words nor the doctrines seriously. The truth is simpler: the Eleventh Amendment means what it says. It strips the federal government of judicial power over suits against states, in law or equity, brought by diverse plaintiffs. -
The Devil's Interval by Jerry Tachoir
Sound Enhanced Hear the music example in the Members Only section of the PAS Web site at www.pas.org The Devil’s Interval BY JERRY TACHOIR he natural progression from consonance to dissonance and ii7 chords. In other words, Dm7 to G7 can now be A-flat m7 to resolution helps make music interesting and satisfying. G7, and both can resolve to either a C or a G-flat. Using the TMusic would be extremely bland without the use of disso- other dominant chord, D-flat (with the basic ii7 to V7 of A-flat nance. Imagine a world of parallel thirds and sixths and no dis- m7 to D-flat 7), we can substitute the other relative ii7 chord, sonance/resolution. creating the progression Dm7 to D-flat 7 which, again, can re- The prime interval requiring resolution is the tritone—an solve to either a C or a G-flat. augmented 4th or diminished 5th. Known in the early church Here are all the possibilities (Note: enharmonic spellings as the “Devil’s interval,” tritones were actually prohibited in of- were used to simplify the spelling of some chords—e.g., B in- ficial church music. Imagine Bach’s struggle to take music stead of C-flat): through its normal progression of tonic, subdominant, domi- nant, and back to tonic without the use of this interval. Dm7 G7 C Dm7 G7 Gb The tritone is the characteristic interval of all dominant bw chords, created by the “guide tones,” or the 3rd and 7th. The 4 ˙ ˙ w ˙ ˙ tritone interval can be resolved in two types of contrary motion: &4˙ ˙ w ˙ ˙ bbw one in which both notes move in by half steps, and one in which ˙ ˙ w ˙ ˙ b w both notes move out by half steps. -
Ninth, Eleventh and Thirteenth Chords Ninth, Eleventh and Thirteen Chords Sometimes Referred to As Chords with 'Extensions', I.E
Ninth, Eleventh and Thirteenth chords Ninth, Eleventh and Thirteen chords sometimes referred to as chords with 'extensions', i.e. extending the seventh chord to include tones that are stacking the interval of a third above the basic chord tones. These chords with upper extensions occur mostly on the V chord. The ninth chord is sometimes viewed as superimposing the vii7 chord on top of the V7 chord. The combination of the two chord creates a ninth chord. In major keys the ninth of the dominant ninth chord is a whole step above the root (plus octaves) w w w w w & c w w w C major: V7 vii7 V9 G7 Bm7b5 G9 ? c ∑ ∑ ∑ In the minor keys the ninth of the dominant ninth chord is a half step above the root (plus octaves). In chord symbols it is referred to as a b9, i.e. E7b9. The 'flat' terminology is use to indicate that the ninth is lowered compared to the major key version of the dominant ninth chord. Note that in many keys, the ninth is not literally a flatted note but might be a natural. 4 w w w & #w #w #w A minor: V7 vii7 V9 E7 G#dim7 E7b9 ? ∑ ∑ ∑ The dominant ninth usually resolves to I and the ninth often resolves down in parallel motion with the seventh of the chord. 7 ˙ ˙ ˙ ˙ & ˙ ˙ #˙ ˙ C major: V9 I A minor: V9 i G9 C E7b9 Am ˙ ˙ ˙ ˙ ˙ ? ˙ ˙ The dominant ninth chord is often used in a II-V-I chord progression where the II chord˙ and the I chord are both seventh chords and the V chord is a incomplete ninth with the fifth omitted. -
The Thirteenth Amendment: Modern Slavery, Capitalism, and Mass Incarceration Michele Goodwin University of California, Irvine
Cornell Law Review Volume 104 Article 4 Issue 4 May 2019 The Thirteenth Amendment: Modern Slavery, Capitalism, and Mass Incarceration Michele Goodwin University of California, Irvine Follow this and additional works at: https://scholarship.law.cornell.edu/clr Part of the Constitutional Law Commons Recommended Citation Michele Goodwin, The Thirteenth Amendment: Modern Slavery, Capitalism, and Mass Incarceration, 104 Cornell L. Rev. 899 (2019) Available at: https://scholarship.law.cornell.edu/clr/vol104/iss4/4 This Article is brought to you for free and open access by the Journals at Scholarship@Cornell Law: A Digital Repository. It has been accepted for inclusion in Cornell Law Review by an authorized editor of Scholarship@Cornell Law: A Digital Repository. For more information, please contact [email protected]. THE THIRTEENTH AMENDMENT: MODERN SLAVERY, CAPITALISM, AND MASS INCARCERATION Michele Goodwint INTRODUCTION ........................................ 900 I. A PRODIGIOUS CYCLE: PRESERVING THE PAST THROUGH THE PRESENT ................................... 909 II. PRESERVATION THROUGH TRANSFORMATION: POLICING, SLAVERY, AND EMANCIPATION........................ 922 A. Conditioned Abolition ....................... 923 B. The Punishment Clause: Slavery's Preservation Through Transformation..................... 928 C. Re-appropriation and Transformation of Black Labor Through Black Codes, Crop Liens, Lifetime Labor, Debt Peonage, and Jim Crow.. 933 1. Black Codes .......................... 935 2. Convict Leasing ........................ 941 -
Generalized Interval System and Its Applications
Generalized Interval System and Its Applications Minseon Song May 17, 2014 Abstract Transformational theory is a modern branch of music theory developed by David Lewin. This theory focuses on the transformation of musical objects rather than the objects them- selves to find meaningful patterns in both tonal and atonal music. A generalized interval system is an integral part of transformational theory. It takes the concept of an interval, most commonly used with pitches, and through the application of group theory, generalizes beyond pitches. In this paper we examine generalized interval systems, beginning with the definition, then exploring the ways they can be transformed, and finally explaining com- monly used musical transformation techniques with ideas from group theory. We then apply the the tools given to both tonal and atonal music. A basic understanding of group theory and post tonal music theory will be useful in fully understanding this paper. Contents 1 Introduction 2 2 A Crash Course in Music Theory 2 3 Introduction to the Generalized Interval System 8 4 Transforming GISs 11 5 Developmental Techniques in GIS 13 5.1 Transpositions . 14 5.2 Interval Preserving Functions . 16 5.3 Inversion Functions . 18 5.4 Interval Reversing Functions . 23 6 Rhythmic GIS 24 7 Application of GIS 28 7.1 Analysis of Atonal Music . 28 7.1.1 Luigi Dallapiccola: Quaderno Musicale di Annalibera, No. 3 . 29 7.1.2 Karlheinz Stockhausen: Kreuzspiel, Part 1 . 34 7.2 Analysis of Tonal Music: Der Spiegel Duet . 38 8 Conclusion 41 A Just Intonation 44 1 1 Introduction David Lewin(1933 - 2003) is an American music theorist. -
Musiciansfor Normaland
MUSIC THEORY MUSICIANSfor NORMALand “My Dad” Sofia Rush, Age 5 Pen and crayon on printer paper realPEOPLE college-level music theory, from fundamental concepts to advanced concepts presented in a convenient, fun, engaging and thorough one-topic-per-page format free to copy, for more, visit share and enjoy! by Toby W. Rush tobyrush.com music theory for musicians and normal people by toby w. rush so then the What is Music Theory? bassoon choir comes in like flaming Chances are there’s a piece of music honeydew melons that moves you in a profound way... from on high a way that is frustratingly difficult to describe to someone else! Like other forms of art, music often has the capability to create in the listener that emotional reactions please transcends other forms of communication. bradley it’s late though a single piece of music may elicit different reactions from different listeners, any and if i’m lover of music will tell you that they’re real, almost those feelings are real! they’re worthy done of study. one of the most valuable parts coming up with terminology of music theory is giving names to doesn’t just help us talk to musical structures and processes, others about music, though... which makes them easier to talk about! it actually helps us learn! but while it’s an important step, and a great place to start, music theory is much more than just coming up with names for things! when composers write music — whether it’s a classical- era symphony or a bit of japanese post-shibuya-kei glitch techno — they are not following a particular set of rules. -
On the Perception of Pitch Accents by Kevin L
On the Perception of Pitch Accents by Kevin L. Landel B.S., Electrical Engineering and Computer Science University of California, Berkeley Berkeley, California 1983 SUBMITTED TO THE MEDIA ARTS AND SCIENCES SECTION IN PARTIAL FULFILLMENT OF THE REQUIREMENTS OF THE DEGREE OF MASTER OF SCIENCE AT THE MASSACHUSETTS INSTITUTE OF TECHNOLOGY September 1988 @Massachusetts Institute of Technology 1988 All Rights Reserved. Signature of the Author ....................................................................... Kevin L. Landel Media Arts and Sciences Section June 6, 1988 //7 Certified by ....................................................................... Chris Schmandt Principal Research Scientist Thesis Supervisor Accepted by ..... .j~f/V.V"'.. f ..... .. ....... Stephen A. Benton Chairman Departmental Committee on Graduate Students MASSACHUSETS INSTiTUTE nr TVf"I4mfl 01Wy NOV 0 31988 LIBRARIES On the Perception of Pitch Accents by Kevin L. Landel Submitted to the Media Arts and Sciences Section on June 6, 1988 in partial fulfillment of the requirements of the degree of Master of Science at the Massachusetts Institute of Technology Abstract A series of experiments was performed to determine the thresholds at which pertur- bations to pitch contours became important to the semantic interpretation of utterances. The perception of pitch accents was controlled by manipulating the accents' relative mag- nitudes and surrounding prosodic environment. The perturbations investigated were: the separation of H and L pitch accents, the presence vs. the absence of pitch accents, and the effects of pitch range and prominence on the perception of pitch accents. The intent is to suggest the pertinent information which needs to be addressed for the implementation of speech systems that make better use of prosody. Thesis Supervisor: Chris Schmandt Title: Principal Research Scientist This work was supported by the Defense Advance Research Projects Agency (DARPA) contract number N00039-86-C-0406. -
8.1.4 Intervals in the Equal Temperament The
8.1 Tonal systems 8-13 8.1.4 Intervals in the equal temperament The interval (inter vallum = space in between) is the distance of two notes; expressed numerically by the relation (ratio) of the frequencies of the corresponding tones. The names of the intervals are derived from the place numbers within the scale – for the C-major-scale, this implies: C = prime, D = second, E = third, F = fourth, G = fifth, A = sixth, B = seventh, C' = octave. Between the 3rd and 4th notes, and between the 7th and 8th notes, we find a half- step, all other notes are a whole-step apart each. In the equal-temperament tuning, a whole- step consists of two equal-size half-step (HS). All intervals can be represented by multiples of a HS: Distance between notes (intervals) in the diatonic scale, represented by half-steps: C-C = 0, C-D = 2, C-E = 4, C-F = 5, C-G = 7, C-A = 9, C-B = 11, C-C' = 12. Intervals are not just definable as HS-multiples in their relation to the root note C of the C- scale, but also between all notes: e.g. D-E = 2 HS, G-H = 4 HS, F-A = 4 HS. By the subdivision of the whole-step into two half-steps, new notes are obtained; they are designated by the chromatic sign relative to their neighbors: C# = C-augmented-by-one-HS, and (in the equal-temperament tuning) identical to the Db = D-diminished-by-one-HS. Corresponding: D# = Eb, F# = Gb, G# = Ab, A# = Bb. -
Tonal Organization in Schoenberg's Six Little Piano Pieces, Op. 19 Kenneth L
Document généré le 1 oct. 2021 12:21 Canadian University Music Review Revue de musique des universités canadiennes --> Voir l’erratum concernant cet article Tonal Organization in Schoenberg's Six Little Piano Pieces, Op. 19 Kenneth L. Hicken Numéro 1, 1980 URI : https://id.erudit.org/iderudit/1013738ar DOI : https://doi.org/10.7202/1013738ar Aller au sommaire du numéro Éditeur(s) Canadian University Music Society / Société de musique des universités canadiennes ISSN 0710-0353 (imprimé) 2291-2436 (numérique) Découvrir la revue Citer cet article Hicken, K. L. (1980). Tonal Organization in Schoenberg's Six Little Piano Pieces, Op. 19. Canadian University Music Review / Revue de musique des universités canadiennes, (1), 130–146. https://doi.org/10.7202/1013738ar All Rights Reserved © Canadian University Music Society / Société de musique Ce document est protégé par la loi sur le droit d’auteur. L’utilisation des des universités canadiennes, 1980 services d’Érudit (y compris la reproduction) est assujettie à sa politique d’utilisation que vous pouvez consulter en ligne. https://apropos.erudit.org/fr/usagers/politique-dutilisation/ Cet article est diffusé et préservé par Érudit. Érudit est un consortium interuniversitaire sans but lucratif composé de l’Université de Montréal, l’Université Laval et l’Université du Québec à Montréal. Il a pour mission la promotion et la valorisation de la recherche. https://www.erudit.org/fr/ TONAL ORGANIZATION IN SCHOENBERG'S SIX LITTLE PIANO PIECES, OP. 19 Kenneth L. Hicken What is the nature of Schoenberg's so-called atonality? Does his atonal organization of pitch truly involve abandonment of tonality and tonal functions, as is widely believed? Or can and should this type of organization be understood as an exten• sion of traditional tonal practice? An appropriate work to examine in consideration of these questions is the Six Little Piano Pieces, Op. -
View of Related Literature
THE EFFECT OF OCTAVE AND TIMBRE COMBINATIONS ON UNDERGRADUATE BAND MEMBERS’ PERCEPTION OF PITCH by CLINTON M. STEINBRUNNER Submitted in partial fulfillment of the requirements for the degree of Master of Arts Thesis Advisor: Dr. Nathan B. Kruse Department of Music CASE WESTERN RESERVE UNIVERSITY August 2019 2 CASE WESTERN RESERVE UNIVERSITY SCHOOL OF GRADUATE STUDIES We hereby approve the thesis of Clinton M. Steinbrunner candidate for the degree of Master of Arts. Committee Chair Dr. Nathan B. Kruse Committee Member Dr. Kathleen A. Horvath Committee Member Dr. Ryan V. Scherber Date of Defense June 29, 2019 *We also certify that written approval has been obtained for any proprietary material contained therein. 3 TABLE OF CONTENTS LIST OF TABLES .......................................................................................................... 5 ABSTRACT ................................................................................................................... 6 CHAPTER 1: INTRODUCTION .................................................................................... 7 Tuning as an Individual Process .............................................................................. 8 Instrument Timbre ................................................................................................... 9 Ensemble Tuning Procedures and Octave Displacement ........................................ 10 Need for the Study .................................................................................................... 11 Purpose