11-Music Scales
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Chords and Scales 30/09/18 3:21 PM
Chords and Scales 30/09/18 3:21 PM Chords Charts written by Mal Webb 2014-18 http://malwebb.com Name Symbol Alt. Symbol (best first) Notes Note numbers Scales (in order of fit). C major (triad) C Cmaj, CM (not good) C E G 1 3 5 Ion, Mix, Lyd, MajPent, MajBlu, DoHar, HarmMaj, RagPD, DomPent C 6 C6 C E G A 1 3 5 6 Ion, MajPent, MajBlu, Lyd, Mix C major 7 C∆ Cmaj7, CM7 (not good) C E G B 1 3 5 7 Ion, Lyd, DoHar, RagPD, MajPent C major 9 C∆9 Cmaj9 C E G B D 1 3 5 7 9 Ion, Lyd, MajPent C 7 (or dominant 7th) C7 CM7 (not good) C E G Bb 1 3 5 b7 Mix, LyDom, PhrDom, DomPent, RagCha, ComDim, MajPent, MajBlu, Blues C 9 C9 C E G Bb D 1 3 5 b7 9 Mix, LyDom, RagCha, DomPent, MajPent, MajBlu, Blues C 7 sharp 9 C7#9 C7+9, C7alt. C E G Bb D# 1 3 5 b7 #9 ComDim, Blues C 7 flat 9 C7b9 C7alt. C E G Bb Db 1 3 5 b7 b9 ComDim, PhrDom C 7 flat 5 C7b5 C E Gb Bb 1 3 b5 b7 Whole, LyDom, SupLoc, Blues C 7 sharp 11 C7#11 Bb+/C C E G Bb D F# 1 3 5 b7 9 #11 LyDom C 13 C 13 C9 add 13 C E G Bb D A 1 3 5 b7 9 13 Mix, LyDom, DomPent, MajBlu, Blues C minor (triad) Cm C-, Cmin C Eb G 1 b3 5 Dor, Aeo, Phr, HarmMin, MelMin, DoHarMin, MinPent, Ukdom, Blues, Pelog C minor 7 Cm7 Cmin7, C-7 C Eb G Bb 1 b3 5 b7 Dor, Aeo, Phr, MinPent, UkDom, Blues C minor major 7 Cm∆ Cm maj7, C- maj7 C Eb G B 1 b3 5 7 HarmMin, MelMin, DoHarMin C minor 6 Cm6 C-6 C Eb G A 1 b3 5 6 Dor, MelMin C minor 9 Cm9 C-9 C Eb G Bb D 1 b3 5 b7 9 Dor, Aeo, MinPent C diminished (triad) Cº Cdim C Eb Gb 1 b3 b5 Loc, Dim, ComDim, SupLoc C diminished 7 Cº7 Cdim7 C Eb Gb A(Bbb) 1 b3 b5 6(bb7) Dim C half diminished Cø -
The Hungarian Rhapsodies and the 15 Hungarian Peasant Songs: Historical and Ideological Parallels Between Liszt and Bartók David Hill
James Madison University JMU Scholarly Commons Dissertations The Graduate School Spring 2015 The unH garian Rhapsodies and the 15 Hungarian Peasant Songs: Historical and ideological parallels between Liszt and Bartók David B. Hill James Madison University Follow this and additional works at: https://commons.lib.jmu.edu/diss201019 Part of the Musicology Commons Recommended Citation Hill, David B., "The unH garian Rhapsodies and the 15 Hungarian Peasant Songs: Historical and ideological parallels between Liszt and Bartók" (2015). Dissertations. 38. https://commons.lib.jmu.edu/diss201019/38 This Dissertation is brought to you for free and open access by the The Graduate School at JMU Scholarly Commons. It has been accepted for inclusion in Dissertations by an authorized administrator of JMU Scholarly Commons. For more information, please contact [email protected]. The Hungarian Rhapsodies and the 15 Hungarian Peasant Songs: Historical and Ideological Parallels Between Liszt and Bartók David Hill A document submitted to the graduate faculty of JAMES MADISON UNIVERSITY In Partial Fulfillment of the Requirements for the degree of Doctor of Musical Arts School of Music May 2015 ! TABLE!OF!CONTENTS! ! Figures…………………………………………………………………………………………………………….…iii! ! Abstract……………………………………………………………………………………………………………...iv! ! Introduction………………………………………………………………………………………………………...1! ! PART!I:!SIMILARITIES!SHARED!BY!THE!TWO!NATIONLISTIC!COMPOSERS! ! A.!Origins…………………………………………………………………………………………………………….4! ! B.!Ties!to!Hungary…………………………………………………………………………………………...…..9! -
Harmonic Resources in 1980S Hard Rock and Heavy Metal Music
HARMONIC RESOURCES IN 1980S HARD ROCK AND HEAVY METAL MUSIC A thesis submitted to the College of the Arts of Kent State University in partial fulfillment of the requirements for the degree of Master of Arts in Music Theory by Erin M. Vaughn December, 2015 Thesis written by Erin M. Vaughn B.M., The University of Akron, 2003 M.A., Kent State University, 2015 Approved by ____________________________________________ Richard O. Devore, Thesis Advisor ____________________________________________ Ralph Lorenz, Director, School of Music _____________________________________________ John R. Crawford-Spinelli, Dean, College of the Arts ii Table of Contents LIST OF FIGURES ............................................................................................................................... v CHAPTER I........................................................................................................................................ 1 INTRODUCTION ........................................................................................................................... 1 GOALS AND METHODS ................................................................................................................ 3 REVIEW OF RELATED LITERATURE............................................................................................... 5 CHAPTER II..................................................................................................................................... 36 ANALYSIS OF “MASTER OF PUPPETS” ...................................................................................... -
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. -
When the Leading Tone Doesn't Lead: Musical Qualia in Context
When the Leading Tone Doesn't Lead: Musical Qualia in Context Dissertation Presented in Partial Fulfillment of the Requirements for the Degree Doctor of Philosophy in the Graduate School of The Ohio State University By Claire Arthur, B.Mus., M.A. Graduate Program in Music The Ohio State University 2016 Dissertation Committee: David Huron, Advisor David Clampitt Anna Gawboy c Copyright by Claire Arthur 2016 Abstract An empirical investigation is made of musical qualia in context. Specifically, scale-degree qualia are evaluated in relation to a local harmonic context, and rhythm qualia are evaluated in relation to a metrical context. After reviewing some of the philosophical background on qualia, and briefly reviewing some theories of musical qualia, three studies are presented. The first builds on Huron's (2006) theory of statistical or implicit learning and melodic probability as significant contributors to musical qualia. Prior statistical models of melodic expectation have focused on the distribution of pitches in melodies, or on their first-order likelihoods as predictors of melodic continuation. Since most Western music is non-monophonic, this first study investigates whether melodic probabilities are altered when the underlying harmonic accompaniment is taken into consideration. This project was carried out by building and analyzing a corpus of classical music containing harmonic analyses. Analysis of the data found that harmony was a significant predictor of scale-degree continuation. In addition, two experiments were carried out to test the perceptual effects of context on musical qualia. In the first experiment participants rated the perceived qualia of individual scale-degrees following various common four-chord progressions that each ended with a different harmony. -
HOW to FIND RELATIVE MINOR and MAJOR SCALES Relative
HOW TO FIND RELATIVE MINOR AND MAJOR SCALES Relative minor and major scales share all the same notes–each one just has a different tonic. The best example of this is the relative relationship between C-major and A-minor. These two scales have a relative relationship and therefore share all the same notes. C-major: C D E F G A B C A-minor: A B C D E F G A Finding the relative minor from a known major scale (using the 6th scale degree) scale degrees: 1 2 3 4 5 6 7 1 C-major: C D E F G A B C A-(natural) minor: A B C D E F G A A-minor starts on the 6th scale degree of C-major. This relationship holds true for ALL major and minor scale relative relationships. To find the relative minor scale from a given major scale, count up six scale degrees in the major scale–that is where the relative minor scale begins. This minor scale will be the natural minor mode. 1 2 3 4 5 6 C-D-E-F-G-A The relative minor scale can also be found by counting backwards (down) by three scale degrees in the major scale. C-major: C D E F G A B C ←←← count DOWN three scale degrees and arrive at A 1 2 3 C-B-A Finding the relative major from a known minor scale (using the 3rd scale degree) scale degrees: 1 2 3 4 5 6 7 1 A-(natural) minor: A B C D E F G A C-major: C D E F G A B C C-major starts on the 3rd scale of A-minor. -
The Major Scale Music Sounds the Way It Does Has to Do with the Group of Notes the Composer Decided to Use
music theory for musicians and normal people by toby w. rush one of the reasons that a particular piece of The Major Scale music sounds the way it does has to do with the group of notes the composer decided to use. 2 2 , 17 bach na e bachr a magdal ian jo t a ann bas m G for se n i ann ook oh eb inuett j M no œ#œ œ œ œ œ œ &43 œ œ œ œ œ œ œœœ œ œ œ œ œ œ œ œ œ œ œ œ œ œ ˙. take this melody, for example... let’s first remove all the duplicate notes, regardless of which octave they’re in. œ#œ œ &43 œ œ œ œ next, let’s put the notes in alphabetical order, œ #œ œ starting on the note œ #œ œ œ œ œ that the melody sounded œ œ œ œ like it was centering on. œ œ what we end up with there are actually many is the for “palette” different types of scales, this particular piece... each with a different pattern of whole steps and half steps. œ œ œ #œ œ œ œ œ a half step is the distance between like the board on which a painter holds two adjacent keys the bits of paint being used in the painting on the piano keyboard, being created. regardless of color. in music, this “palette” is called a scale. though we usually write scales from low to high, the order is actually unimportant; it’s the notes contained in the scale that help make a piece sound the way it does. -
Finding Alternative Musical Scales
Finding Alternative Musical Scales John Hooker Carnegie Mellon University October 2017 1 Advantages of Classical Scales • Pitch frequencies have simple ratios. – Rich and intelligible harmonies • Multiple keys based on underlying chromatic scale with tempered tuning. – Can play all keys on instrument with fixed tuning. – Complex musical structure. • Can we find new scales with these same properties? – Constraint programming is well suited to solve the problem. 2 Simple Ratios • Acoustic instruments produce multiple harmonic partials. – Frequency of partial = integral multiple of frequency of fundamental. – Coincidence of partials makes chords with simple ratios easy to recognize. Perfect fifth C:G = 2:3 3 Simple Ratios • Acoustic instruments produce multiple harmonic partials. – Frequency of partial = integral multiple of frequency of fundamental. – Coincidence of partials makes chords with simple ratios easy to recognize. Octave C:C = 1:2 4 Simple Ratios • Acoustic instruments produce multiple harmonic partials. – Frequency of partial = integral multiple of frequency of fundamental. – Coincidence of partials makes chords with simple ratios easy to recognize. Major triad C:E:G = 4:5:6 5 Multiple Keys • A classical scale can start from any pitch in a chromatic with 12 semitone intervals. – Resulting in 12 keys. – An instrument with 12 pitches (modulo octaves) can play 12 different keys. – Can move to a different key by changing only a few notes of the scale. 6 Multiple Keys Let C major be the tonic key C 1 D#E 6 A C major b 0 notes F#G -
In Search of the Perfect Musical Scale
In Search of the Perfect Musical Scale J. N. Hooker Carnegie Mellon University, Pittsburgh, USA [email protected] May 2017 Abstract We analyze results of a search for alternative musical scales that share the main advantages of classical scales: pitch frequencies that bear simple ratios to each other, and multiple keys based on an un- derlying chromatic scale with tempered tuning. The search is based on combinatorics and a constraint programming model that assigns frequency ratios to intervals. We find that certain 11-note scales on a 19-note chromatic stand out as superior to all others. These scales enjoy harmonic and structural possibilities that go significantly beyond what is available in classical scales and therefore provide a possible medium for innovative musical composition. 1 Introduction The classical major and minor scales of Western music have two attractive characteristics: pitch frequencies that bear simple ratios to each other, and multiple keys based on an underlying chromatic scale with tempered tuning. Simple ratios allow for rich and intelligible harmonies, while multiple keys greatly expand possibilities for complex musical structure. While these tra- ditional scales have provided the basis for a fabulous outpouring of musical creativity over several centuries, one might ask whether they provide the natural or inevitable framework for music. Perhaps there are alternative scales with the same favorable characteristics|simple ratios and multiple keys|that could unleash even greater creativity. This paper summarizes the results of a recent study [8] that undertook a systematic search for musically appealing alternative scales. The search 1 restricts itself to diatonic scales, whose adjacent notes are separated by a whole tone or semitone. -
Natural Minor Scale Is Given
Minor Scales Minor scales/keys are used by composers when they wish to express a different mood than those characterized my major scales in music. Minor scales and keys conjure feelings of sorrow or tension. Minor scales also have their own unique set of intervals found between the 8 pitches in the scale. The major scale which used all white notes on the piano is the C major scale (example #1). Example #1 q Q Q l=============& _q q q q l q =l[ The minor scale which uses all white notes on the piano the scale with no sharps or flats is A minor. The C major scale and the A minor scale are related (they are cousins) because they share the same key signature, no sharps or flats. Example #2 shows that relationship very clearly. All of notes in the A minor scale are found in the C major scale with the difference between the two just the starting note or tonic. The C major scale starts on C which is its tonic and the A minor scale starts on A which is its tonic. Example #2 Î Î q Q Q Major l===============& _q q lq q q l =l[ l l q q q Î Î Minor l===============& _q _q _q q l q l =l[ The unique relationship of major and minor makes the work of studying minor simpler. As we know from the information above each major scale/key has a relative (cousin) minor that uses the same notes and key signatures however each starts on a different note (tonic). -
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). -
The Consecutive-Semitone Constraint on Scalar Structure: a Link Between Impressionism and Jazz1
The Consecutive-Semitone Constraint on Scalar Structure: A Link Between Impressionism and Jazz1 Dmitri Tymoczko The diatonic scale, considered as a subset of the twelve chromatic pitch classes, possesses some remarkable mathematical properties. It is, for example, a "deep scale," containing each of the six diatonic intervals a unique number of times; it represents a "maximally even" division of the octave into seven nearly-equal parts; it is capable of participating in a "maximally smooth" cycle of transpositions that differ only by the shift of a single pitch by a single semitone; and it has "Myhill's property," in the sense that every distinct two-note diatonic interval (e.g., a third) comes in exactly two distinct chromatic varieties (e.g., major and minor). Many theorists have used these properties to describe and even explain the role of the diatonic scale in traditional tonal music.2 Tonal music, however, is not exclusively diatonic, and the two nondiatonic minor scales possess none of the properties mentioned above. Thus, to the extent that we emphasize the mathematical uniqueness of the diatonic scale, we must downplay the musical significance of the other scales, for example by treating the melodic and harmonic minor scales merely as modifications of the natural minor. The difficulty is compounded when we consider the music of the late-nineteenth and twentieth centuries, in which composers expanded their musical vocabularies to include new scales (for instance, the whole-tone and the octatonic) which again shared few of the diatonic scale's interesting characteristics. This suggests that many of the features *I would like to thank David Lewin, John Thow, and Robert Wason for their assistance in preparing this article.