1B-4 Chord Symbols and Harmonic Analysis.Pages
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500 Natural Sciences and Mathematics
500 500 Natural sciences and mathematics Natural sciences: sciences that deal with matter and energy, or with objects and processes observable in nature Class here interdisciplinary works on natural and applied sciences Class natural history in 508. Class scientific principles of a subject with the subject, plus notation 01 from Table 1, e.g., scientific principles of photography 770.1 For government policy on science, see 338.9; for applied sciences, see 600 See Manual at 231.7 vs. 213, 500, 576.8; also at 338.9 vs. 352.7, 500; also at 500 vs. 001 SUMMARY 500.2–.8 [Physical sciences, space sciences, groups of people] 501–509 Standard subdivisions and natural history 510 Mathematics 520 Astronomy and allied sciences 530 Physics 540 Chemistry and allied sciences 550 Earth sciences 560 Paleontology 570 Biology 580 Plants 590 Animals .2 Physical sciences For astronomy and allied sciences, see 520; for physics, see 530; for chemistry and allied sciences, see 540; for earth sciences, see 550 .5 Space sciences For astronomy, see 520; for earth sciences in other worlds, see 550. For space sciences aspects of a specific subject, see the subject, plus notation 091 from Table 1, e.g., chemical reactions in space 541.390919 See Manual at 520 vs. 500.5, 523.1, 530.1, 919.9 .8 Groups of people Add to base number 500.8 the numbers following —08 in notation 081–089 from Table 1, e.g., women in science 500.82 501 Philosophy and theory Class scientific method as a general research technique in 001.4; class scientific method applied in the natural sciences in 507.2 502 Miscellany 577 502 Dewey Decimal Classification 502 .8 Auxiliary techniques and procedures; apparatus, equipment, materials Including microscopy; microscopes; interdisciplinary works on microscopy Class stereology with compound microscopes, stereology with electron microscopes in 502; class interdisciplinary works on photomicrography in 778.3 For manufacture of microscopes, see 681. -
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PRESS RELEASE Contact: Mary Ladd Public Information Coordinator Ponca City Public Schools 580-352-4188 [email protected] #TeamPCPS #WildcatWay PCPS Big Blue Band Reports Great Results from Red Carpet Honor Band Auditions The Ponca City Senior High School Big Blue Band members participated in the Red Carpet Honor Band Auditions held on Saturday, November 16 in Chisholm, Oklahoma. The Senior High School Honor Band consists of students in grades 10th through 12th grade. The 9th grade students participated in the Junior High Honor Bands, which is made up of students in grades 7th through 9th. High schools that participated included: Alva, Blackwell, Cashion, Chisholm, Cimarron, Covington-Douglas, Drummond, Enid, Fairview, Fargo-Gage, Garber, Kingfisher, Kremlin-Hillsdale, Laverne, Medford, Mooreland, Newkirk, Okeene, Oklahoma Bible Academy, Perry, Pioneer-Pleasant Vale, Ponca City, Pond Creek-Hunter, Ringwood, Seiling, Texhoma, Timberlake, Tonkawa, Waukomis, Waynoka, and Woodward. There were two Junior High Honor Bands selected, an “A” Band and a “B” Band. This is made up of students in grades 7th through 9th grade. Ponca City 9th grade students competed in the junior high area. The 17- 9th graders who earned their positions is the largest number of freshmen Ponca City has ever had make one of the two bands. Schools represented in the junior high tryouts included: Alva, Blackwell, Cashion, Chisholm, Cimarron, Covington-Douglas, Emerson (Enid), Enid, Fairview, Garber, Hennessey, Kingfisher, Kremlin-Hillsdale, Laverne, Longfellow (Enid), Medford, Mooreland, Newkirk, Okarche, Okeene, Oklahoma Bible Academy, Perry Pioneer-Pleasant Vale, Ponca City, Ponca City East, Ponca City West, Pond Creek-Hunter, Ringwood, Seiling, Texhoma, Tonkawa, Waller (Enid), Waukomis, Waynoka, and Woodward. -
Day 17 AP Music Handout, Scale Degress.Mus
Scale Degrees, Chord Quality, & Roman Numeral Analysis There are a total of seven scale degrees in both major and minor scales. Each of these degrees has a name which you are required to memorize tonight. 1 2 3 4 5 6 7 1 & w w w w w 1. tonicw 2.w supertonic 3.w mediant 4. subdominant 5. dominant 6. submediant 7. leading tone 1. tonic A triad can be built upon each scale degree. w w w w & w w w w w w w w 1. tonicw 2.w supertonic 3.w mediant 4. subdominant 5. dominant 6. submediant 7. leading tone 1. tonic The quality and scale degree of the triads is shown by Roman numerals. Captial numerals are used to indicate major triads with lowercase numerals used to show minor triads. Diminished triads are lowercase with a "degree" ( °) symbol following and augmented triads are capital followed by a "plus" ( +) symbol. Roman numerals written for a major key look as follows: w w w w & w w w w w w w w CM: wI (M) iiw (m) wiii (m) IV (M) V (M) vi (m) vii° (dim) I (M) EVERY MAJOR KEY FOLLOWS THE PATTERN ABOVE FOR ITS ROMAN NUMERALS! Because the seventh scale degree in a natural minor scale is a whole step below tonic instead of a half step, the name is changed to subtonic, rather than leading tone. Leading tone ALWAYS indicates a half step below tonic. Notice the change in the qualities and therefore Roman numerals when in the natural minor scale. -
A New Rule-Based Method of Automatic Phonetic Notation On
A New Rule-based Method of Automatic Phonetic Notation on Polyphones ZHENG Min, CAI Lianhong (Department of Computer Science and Technology of Tsinghua University, Beijing, 100084) Email: [email protected], [email protected] Abstract: In this paper, a new rule-based method of automatic 2. A rule-based method on polyphones phonetic notation on the 220 polyphones whose appearing frequency exceeds 99% is proposed. Firstly, all the polyphones 2.1 Classify the polyphones beforehand in a sentence are classified beforehand. Secondly, rules are Although the number of polyphones is large, the extracted based on eight features. Lastly, automatic phonetic appearing frequency is widely discrepant. The statistic notation is applied according to the rules. The paper puts forward results in our experiment show: the accumulative a new concept of prosodic functional part of speech in order to frequency of the former 100 polyphones exceeds 93%, improve the numerous and complicated grammatical information. and the accumulative frequency of the former 180 The examples and results of this method are shown at the end of polyphones exceeds 97%. The distributing chart of this paper. Compared with other approaches dealt with polyphones’ accumulative frequency is shown in the polyphones, the results show that this new method improves the chart 3.1. In order to improve the accuracy of the accuracy of phonetic notation on polyphones. grapheme-phoneme conversion more, we classify the Keyword: grapheme-phoneme conversion; polyphone; prosodic 700 polyphones in the GB_2312 Chinese-character word; prosodic functional part of speech; feature extracting; system into three kinds in our text-to-speech system 1. -
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. -
Viewed by Most to Be the Act of Composing Music As It Is Being
UNIVERSITY OF CINCINNATI Date:___________________ I, _________________________________________________________, hereby submit this work as part of the requirements for the degree of: in: It is entitled: This work and its defense approved by: Chair: _______________________________ _______________________________ _______________________________ _______________________________ _______________________________ Sonata for Alto Saxophone and Piano by Phil Woods: An Improvisation-Specific Performer’s Guide A doctoral document submitted to the Graduate School of the University of Cincinnati In partial fulfillment of the requirements for the degree of DOCTOR OF MUSICAL ARTS In the Performance Studies Division of the College-Conservatory of Music By JEREMY LONG August, 2008 B.M., University of Kentucky, 1999 M.M., University of Cincinnati College-Conservatory of Music, 2002 Committee Chair: Mr. James Bunte Copyright © 2008 by Jeremy Long All rights reserved ABSTRACT Sonata for Alto Saxophone and Piano by Phil Woods combines Western classical and jazz traditions, including improvisation. A crossover work in this style creates unique challenges for the performer because it requires the person to have experience in both performance practices. The research on musical works in this style is limited. Furthermore, the research on the sections of improvisation found in this sonata is limited to general performance considerations. In my own study of this work, and due to the performance problems commonly associated with the improvisation sections, I found that there is a need for a more detailed analysis focusing on how to practice, develop, and perform the improvised solos in this sonata. This document, therefore, is a performer’s guide to the sections of improvisation found in the 1997 revised edition of Sonata for Alto Saxophone and Piano by Phil Woods. -
The Romantext Format: a Flexible and Standard Method for Representing Roman Numeral Analyses
THE ROMANTEXT FORMAT: A FLEXIBLE AND STANDARD METHOD FOR REPRESENTING ROMAN NUMERAL ANALYSES Dmitri Tymoczko1 Mark Gotham2 Michael Scott Cuthbert3 Christopher Ariza4 1 Princeton University, NJ 2 Cornell University, NY 3 M.I.T., MA 4 Independent [email protected], [email protected], [email protected] ABSTRACT Absolute chord labels are performer-oriented in the sense that they specify which notes should be played, but Roman numeral analysis has been central to the West- do not provide any information about their function or ern musician’s toolkit since its emergence in the early meaning: thus one and the same symbol can represent nineteenth century: it is an extremely popular method for a tonic, dominant, or subdominant chord. Accordingly, recording subjective analytical decisions about the chords these labels obscure a good deal of musical structure: a and keys implied by a passage of music. Disagreements dominant-functioned G major chord (i.e. G major in the about these judgments have led to extensive theoretical de- local key of C) is considerably more likely to descend by bates and ongoing controversies. Such debates are exac- perfect fifth than a subdominant-functioned G major (i.e. G erbated by the absence of a public corpus of expert Ro- major in the key of D major). This sort of contextual in- man numeral analyses, and by the more fundamental lack formation is readily available to both trained and untrained of an agreed-upon, computer-readable syntax in which listeners, who are typically more sensitive to relative scale those analyses might be expressed. This paper specifies degrees than absolute pitches. -
Graduate Music Theory Exam Preparation Guidelines
Graduate Theory Entrance Exam Information and Practice Materials 2016 Summer Update Purpose The AU Graduate Theory Entrance Exam assesses student mastery of the undergraduate core curriculum in theory. The purpose of the exam is to ensure that incoming graduate students are well prepared for advanced studies in theory. If students do not take and pass all portions of the exam with a 70% or higher, they must satisfactorily complete remedial coursework before enrolling in any graduate-level theory class. Scheduling The exam is typically held 8:00 a.m.-12:00 p.m. on the Thursday just prior to the start of fall semester classes. Check with the Music Department Office for confirmation of exact dates/times. Exam format The written exam will begin at 8:00 with aural skills (intervals, sonorities, melodic and harmonic dictation) You will have until 10:30 to complete the remainder of the written exam (including four- part realization, harmonization, analysis, etc.) You will sign up for individual sight-singing tests, to begin directly after the written exam Activities and Skills Aural identification of intervals and sonorities Dictation and sight-singing of tonal melodies (both diatonic and chromatic). Notate both pitch and rhythm. Dictation of tonal harmonic progressions (both diatonic and chromatic). Notate soprano, bass, and roman numerals. Multiple choice Short answer Realization of a figured bass (four-part voice leading) Harmonization of a given melody (four-part voice leading) Harmonic analysis using roman numerals 1 Content -
Figured-Bass Notation
MU 182: Theory II R. Vigil FIGURED-BASS NOTATION General In common-practice tonal music, chords are generally understood in two different ways. On the one hand, they can be seen as triadic structures emanating from a generative root . In this system, a root-position triad is understood as the "ideal" or "original" form, and other forms are understood as inversions , where the root has been placed above one of the other chord tones. This approach emphasizes the structural similarity of chords that share a common root (a first- inversion C major triad and a root-position C major triad are both C major triads). This type of thinking is represented analytically in the practice of applying Roman numerals to various chords within a given key - all chords with allegiance to the same Roman numeral are understood to be related, regardless of inversion and voicing, texture, etc. On the other hand, chords can be understood as vertical arrangements of tones above a given bass . This system is not based on a judgment as to the primacy of any particular chordal arrangement over another. Rather, it is simply a descriptive mechanism, for identifying what notes are present in addition to the bass. In this regime, chords are described in terms of the simplest possible arrangement of those notes as intervals above the bass. The intervals are represented as Arabic numerals (figures), and the resulting nomenclatural system is known as figured bass . Terminological Distinctions Between Roman Numeral Versus Figured Bass Approaches When dealing with Roman numerals, everything is understood in relation to the root; therefore, the components of a triad are the root, the third, and the fifth. -
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. -
Table of Contents
Table of Contents Introduction and Background The Guitar _________________________________ 1 Related Instruments _____________________ 1 Guitar Parts and Names __________________ 2 Acoustic vs. Electric __________________ 3 Brand Names _______________________ 3 The Neck _____________________________ 4 Fretboard __________________________ 4 Width______________________________ 5 Thickness __________________________ 5 Intonation __________________________ 5 Action _____________________________ 5 Adjustable Truss Rod _________________ 5 Strings _______________________________ 6 Electric Pickup Configurations _____________ 7 Tele _______________________________ 7 Strat ______________________________ 7 Peavey Copies ______________________ 7 Les Paul ___________________________ 7 Active Pickups ______________________ 7 Guitar Amps ___________________________ 8 Accessories_________________________________ 9 Case _________________________________ 9 Guitar Stand ___________________________ 9 CAPO ________________________________ 9 Music Stand ___________________________ 9 Strap_________________________________ 10 Guitar Strings __________________________ 10 Picks_________________________________ 10 String Changing Kit _____________________ 11 Peg Winder _________________________ 11 Wire Clippers _______________________ 11 Polishing Cloth and Polish _____________ 11 Electronic Tuner ________________________ 11 Metronome/Drum Machine/Sequencer_______ 12 Tape Recorder _________________________ 12 Effects _______________________________ 12 Harvard -
Notation Guide for Precalculus and Calculus Students
Notation Guide for Precalculus and Calculus Students Sean Raleigh Last modified: August 27, 2007 Contents 1 Introduction 5 2 Expression versus equation 7 3 Handwritten math versus typed math 9 3.1 Numerals . 9 3.2 Letters . 10 4 Use of calculators 11 5 General organizational principles 15 5.1 Legibility of work . 15 5.2 Flow of work . 16 5.3 Using English . 18 6 Precalculus 21 6.1 Multiplication and division . 21 6.2 Fractions . 23 6.3 Functions and variables . 27 6.4 Roots . 29 6.5 Exponents . 30 6.6 Inequalities . 32 6.7 Trigonometry . 35 6.8 Logarithms . 38 6.9 Inverse functions . 40 6.10 Order of functions . 42 7 Simplification of answers 43 7.1 Redundant notation . 44 7.2 Factoring and expanding . 45 7.3 Basic algebra . 46 7.4 Domain matching . 47 7.5 Using identities . 50 7.6 Log functions and exponential functions . 51 7.7 Trig functions and inverse trig functions . 53 1 8 Limits 55 8.1 Limit notation . 55 8.2 Infinite limits . 57 9 Derivatives 59 9.1 Derivative notation . 59 9.1.1 Lagrange’s notation . 59 9.1.2 Leibniz’s notation . 60 9.1.3 Euler’s notation . 62 9.1.4 Newton’s notation . 63 9.1.5 Other notation issues . 63 9.2 Chain rule . 65 10 Integrals 67 10.1 Integral notation . 67 10.2 Definite integrals . 69 10.3 Indefinite integrals . 71 10.4 Integration by substitution . 72 10.5 Improper integrals . 77 11 Sequences and series 79 11.1 Sequences .