Chord and It Gives It It's Name
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Tonalandextratonal Functions of Theaugmented
TONAL AND EXTRATONAL FUNCTIONS OF THE AUGMENTED TRIAD IN THE HARMONIC STRUCTURE OF WEBERN'S 'DEHMEL SONGS' By ROBERT GARTH PRESTON B. Mus., Brandon University, 1982 A THESIS SUBMITTED IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE DEGREE OF MASTER OF ARTS in THE FACULTY OF GRADUATE STUDIES (School of Music, Music Theory) We accept this thesis as conforming to the required standard THE UNIVERSITY OF BRITISH COLUMBIA October 1989 © Garth Preston, 1989 In presenting this thesis in partial fulfilment of the requirements for an advanced degree at the University of British Columbia, I agree that the Library shall make it freely available for reference and study. I further agree that permission for extensive copying of this thesis for scholarly purposes may be granted by the head of my department or by his or her representatives. It is understood that copying or publication of this thesis for financial gain shall not be allowed without my written permission. Department The University of British Columbia Vancouver, Canada DE-6 (2/88) ii ABSTRACT: TONAL AND EXTRATONAL FUNCTIONS OF THE AUGMENTED TRIAD IN THE HARMONIC STRUCTURE OF WEBERN'S 'DEHMEL SONGS' The composing of the 'Dehmel Songs' marks a pivotal juncture both in Webern's oeuvre and in the history of music in general. The years that saw the birth of this cycle of five songs, 1906-8, comprise what is generally regarded as a period of transition, in the work of Schoenberg, Webern and Berg, from a 'late tonal' style of composition to an early 'atonal' style. In this study I approach the 'Dehmel Songs' from the perspective that its harmonic structure as a whole can be rendered intelligible in a theoretical way by combining a simple pitch-class-set analysis, which essentially involves graphing the pattern of recurrence of the 'augmented triad' as a motivic harmonic entity—a pattern which is in fact serial in nature-through the course of the unfolding harmonic progression, with a tonal interpretation that uses that pattern as a referential pitch-class skeleton. -
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. -
MUSIC THEORY UNIT 5: TRIADS Intervallic Structure of Triads
MUSIC THEORY UNIT 5: TRIADS Intervallic structure of Triads Another name of an interval is a “dyad” (two pitches). If two successive intervals (3 notes) happen simultaneously, we now have what is referred to as a chord or a “triad” (three pitches) Major and Minor Triads A Major triad consists of a M3 and a P5 interval from the root. A minor triad consists of a m3 and a P5 interval from the root. Diminished and Augmented Triads A diminished triad consists of a m3 and a dim 5th interval from the root. An augmented triad consists of a M3 and an Aug 5th interval from the root. The augmented triad has a major third interval and an augmented fifth interval from the root. An augmented triad differs from a major triad because the “5th” interval is a half-step higher than it is in the major triad. The diminished triad differs from minor triad because the “5th” interval is a half-step lower than it is in the minor triad. Recommended process: 1. Memorize your Perfect 5th intervals from most root pitches (ex. A-E, B-F#, C-G, D-A, etc…) 2. Know that a Major 3rd interval is two whole steps from a root pitch If you can identify a M3 and P5 from a root, you will be able to correctly spell your Major Triads. 3. If you need to know a minor triad, adjust the 3rd of the major triad down a half step to make it minor. 4. If you need to know an Augmented triad, adjust the 5th of the chord up a half step from the MAJOR triad. -
Intervals and Transposition
CHAPTER 3 Intervals and Transposition Interval Augmented and Simple Intervals TOPICS Octave Diminished Intervals Tuning Systems Unison Enharmonic Intervals Melodic Intervals Perfect, Major, and Minor Tritone Harmonic Intervals Intervals Inversion of Intervals Transposition Consonance and Dissonance Compound Intervals IMPORTANT Tone combinations are classifi ed in music with names that identify the pitch relationships. CONCEPTS Learning to recognize these combinations by both eye and ear is a skill fundamental to basic musicianship. Although many different tone combinations occur in music, the most basic pairing of pitches is the interval. An interval is the relationship in pitch between two tones. Intervals are named by the Intervals number of diatonic notes (notes with different letter names) that can be contained within them. For example, the whole step G to A contains only two diatonic notes (G and A) and is called a second. Figure 3.1 & ww w w Second 1 – 2 The following fi gure shows all the numbers within an octave used to identify intervals: Figure 3.2 w w & w w w w 1ww w2w w3 w4 w5 w6 w7 w8 Notice that the interval numbers shown in Figure 3.2 correspond to the scale degree numbers for the major scale. 55 3711_ben01877_Ch03pp55-72.indd 55 4/10/08 3:57:29 PM The term octave refers to the number 8, its interval number. Figure 3.3 w œ œ w & œ œ œ œ Octavew =2345678=œ1 œ w8 The interval numbered “1” (two notes of the same pitch) is called a unison. Figure 3.4 & 1 =w Unisonw The intervals that include the tonic (keynote) and the fourth and fi fth scale degrees of a Perfect, Major, and major scale are called perfect. -
Andrián Pertout
Andrián Pertout Three Microtonal Compositions: The Utilization of Tuning Systems in Modern Composition Volume 1 Submitted in partial fulfilment of the requirements of the degree of Doctor of Philosophy Produced on acid-free paper Faculty of Music The University of Melbourne March, 2007 Abstract Three Microtonal Compositions: The Utilization of Tuning Systems in Modern Composition encompasses the work undertaken by Lou Harrison (widely regarded as one of America’s most influential and original composers) with regards to just intonation, and tuning and scale systems from around the globe – also taking into account the influential work of Alain Daniélou (Introduction to the Study of Musical Scales), Harry Partch (Genesis of a Music), and Ben Johnston (Scalar Order as a Compositional Resource). The essence of the project being to reveal the compositional applications of a selection of Persian, Indonesian, and Japanese musical scales utilized in three very distinct systems: theory versus performance practice and the ‘Scale of Fifths’, or cyclic division of the octave; the equally-tempered division of the octave; and the ‘Scale of Proportions’, or harmonic division of the octave championed by Harrison, among others – outlining their theoretical and aesthetic rationale, as well as their historical foundations. The project begins with the creation of three new microtonal works tailored to address some of the compositional issues of each system, and ending with an articulated exposition; obtained via the investigation of written sources, disclosure -
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. -
Chapter 29 Dictation Handout
NAME _______________________________________ Chapter 29 Dictation Exercises Section 1. Melodic Dictation You will hear melodies that are four measures in length. Both major and minor keys are possible. Each melody will contain altered tones. The key signature and time signature are provided to you on each blank staff. Click the Play button to hear each exercise. Before each melody begins, you will hear the notes of the entire scale played stepwise up and down, then you will hear the tempo counted off. Write each melody using the correct rhythm. 1. 2. 3. 4. 5. 6. page 1 Section 2. Interval Identification a. Thirds You will hear a variety of thirds. Listen to each interval and identify it as one of the listed qualities. A diminished third sounds identical to a major 2nd, and an augmented third sounds identical to a perfect 4th. 1. major 3rd minor 3rd diminished 3rd augmented 3rd 2. major 3rd minor 3rd diminished 3rd augmented 3rd 3. major 3rd minor 3rd diminished 3rd augmented 3rd 4. major 3rd minor 3rd diminished 3rd augmented 3rd 5. major 3rd minor 3rd diminished 3rd augmented 3rd 6. major 3rd minor 3rd diminished 3rd augmented 3rd 7. major 3rd minor 3rd diminished 3rd augmented 3rd 8. major 3rd minor 3rd diminished 3rd augmented 3rd 9. major 3rd minor 3rd diminished 3rd augmented 3rd 10. major 3rd minor 3rd diminished 3rd augmented 3rd b. Sixths You will hear a variety of sixths. Listen to each interval and identify it as one of the listed qualities. An augmented 6th sounds identical to a minor 7th. -
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. -
Affordant Chord Transitions in Selected Guitar-Driven Popular Music
Affordant Chord Transitions in Selected Guitar-Driven Popular Music Thesis Presented in Partial Fulfillment of the Requirements for the Degree Master of Arts in the Graduate School of The Ohio State University By Gary Yim, B.Mus. Graduate Program in Music The Ohio State University 2011 Thesis Committee: David Huron, Advisor Marc Ainger Graeme Boone Copyright by Gary Yim 2011 Abstract It is proposed that two different harmonic systems govern the sequences of chords in popular music: affordant harmony and functional harmony. Affordant chord transitions favor chords and chord transitions that minimize technical difficulty when performed on the guitar, while functional chord transitions favor chords and chord transitions based on a chord's harmonic function within a key. A corpus analysis is used to compare the two harmonic systems in influencing chord transitions, by encoding each song in two different ways. Songs in the corpus are encoded with their absolute chord names (such as “Cm”) to best represent affordant factors in the chord transitions. These same songs are also encoded with their Roman numerals to represent functional factors in the chord transitions. The total entropy within the corpus for both encodings are calculated, and it is argued that the encoding with the lower entropy value corresponds with a harmonic system that more greatly influences the chord transitions. It is predicted that affordant chord transitions play a greater role than functional harmony, and therefore a lower entropy value for the letter-name encoding is expected. But, contrary to expectations, a lower entropy value for the Roman numeral encoding was found. Thus, the results are not consistent with the hypothesis that affordant chord transitions play a greater role than functional chord transitions. -
Consumables Music As a Second Language & the Modern Band Movement – Little Kids Rock Teacher Manual V3.3 Parts of the Acoustic Guitar
GUITAR CONSUMABLES Music as a Second Language & The Modern Band Movement – Little Kids Rock Teacher Manual v3.3 Parts of the Acoustic Guitar Headstock Tuning Machines GUITAR Nut Frets Neck Sound Hole Body Strings Pickguard Bridge 106 Music as a Second Language & The Modern Band Movement – Little Kids Rock Teacher Manual v3.3 Parts of the Electric Guitar Tuning Pegs Headstock Nut Frets Neck GUITAR Pickguard Pickup Volume Knob Strings Tone Knobs Body Output Bridge 107 Music as a Second Language & The Modern Band Movement – Little Kids Rock Teacher Manual v3.3 Some of the Basics Fret Numbers String Numbers 3rd Fret 1st Fret 6 5 4 3 2 1 2nd Fret GUITAR Think of each box as a fret. Put your finger in the first box, and you’re playing the first fret. E A D G B E String Names 1 2 3 4 2. Finger Numbers The thumb doesn’t get a num- ber because it sits on the back of the neck (The guitar’s neck, not your neck!!!) 108 Music as a Second Language & The Modern Band Movement – Little Kids Rock Teacher Manual v3.3 Chord Diagrams A chord diagram is just a drawing of what a chord looks like when you play it on your guitar. Look at the chord diagram and key below. Chord name Don’t play this string D XXO Play this open string Nut GUITAR Frets 1 2 Finger number Fretboard 3 Here are tips for Reading Chord Diagrams: ❶ The black dots with numbers in them are where you place your fingers. -
A LIGHTWEIGHT NOTATION for PLAYING PIANO for FUN by R.J.A
A LIGHTWEIGHT NOTATION FOR PLAYING PIANO FOR FUN by R.J.A. Buhr 1. INTRODUCTION Music notation gets in the way of the joy of making music on the piano that can be had without first spending thousands of hours at the keyboard to develop piano “wizardry,” meaning a combination of keyboard skill and mastery of music notation. The message of this document is the joy can be had, without any loss of musical substance, with no more wizardry than is required to read and play single melody lines. The vehicle is a lightweight notation I call PKP (for Picturing Keyboard Patterns) for annotating the core flow of harmony in interval terms above the staff. I developed the notation as an adult beginner with no training in music theory after becoming frustrated with the way music notation obscures the keyboard simplicity of harmony. That the notation has substance in spite of this humble origin is indicated by the following opinion of PKP provided by a music theorist specializing in improvisational music (see supplementary pages): “The hook ... , at least in my opinion, is that it's possible to attain a deep understanding of chords (and their constituent intervals) without recourse to Western notation. This has direct consequences for physical patterning, fingerings, etc. Essentially, your method combines the utility of a play-by-ear approach with the depth of a mathematically-informed theory of music.” PKP follows from two observations that anyone can make. One is the piano keyboard supplies only 12 piano keys to play all the notes of an octave that music notation describes in many more than 12 ways by key signatures and accidentals (sharps, flats, naturals). -
Guitar Lessons Outline
Lesson 6: Barre Chords E formation: Major, Minor, Sevenths Although most folk songs can be played without the use of barre chords, they are essential to playing most rock songs! Barre Chords are chords that have your index finger holding down more than one string and not playing with any open strings. Below is a picture of an F major chord, using the barring method: Note that the 2nd, 3rd and 4th fingers are playing the formation of an E major chord while the 1st finger is barring all of the strings of the first fret. You may find this hard to do at first because the 1st finger must be held flat and you are putting your 4th finger to work for the first time, but barre chords have a great advantage over open chords: they can be moved up and down the neck to make any chord you want. For example: When moved up two frets becomes All major, minor and seventh chords can be made using E formation barre chords. Let’s look at A major, Am, Am7 and Amaj7 using E formation barre chords. The 1st finger is barred across the 5th fret, making the 6th string an A note. The 2nd, 3rd and 4th fingers make an E formation to create the rest of the chord: 31 Then the minor chord follows the same pattern as the open Em chord by flattening the 3rd note: C# By flattened the 7th note of the A major scale, the 2nd A note drops a whole step (G) to become an Am7 barre chord: By dropping the 2nd A note down a half step, we get an Amaj7 barre chord: These variations of the E formation barre chord may be played anywhere on the neck.