MUSC 164 THEORY ENTRANCE TEST STUDY GUIDE the Jazz Theory Entrance Test Study Guide
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View Printable PDF of 4.2 the Modes of Minor
LearnMusicTheory.net 4.3.2 The Modes of Minor These modes use the same notes as the melodic minor scale, but start on different scale steps (except min-maj). So the parent scale of these modes is the melodic minor scale. Each is associated with a chord, shown below. 1. Min-maj 1st mode of the melodic minor scale C- w wmw ^ & w wmbw w w b9 §13 2nd mode of the melodic minor scale 2. Susb9 (§13) wmw w ("2nd mode" means it starts on scale step 2.) Dsusb9 (§13) & wmbw w w w Phrygian-dorian = Phyrgian + §13 #4 #5 3. Lydian aug. mbw 3rd mode of the melodic minor scale wmw w Lydian augmented = Lydian + #5 Eb ^ #5 & bw w w w #4 4. Lydian dominant 4th mode of the melodic minor scale w wmbw w F7#11 & w w w wm Lydian-mixolydian = Mixolydian + #4 5. Min-maj w w 5th mode of mel. minor wmw wmbw Functions as an inversion of C- C- ^ /G & w w ^ 6th mode of melodic minor 6. Half-diminished w w m w wmbw w Locrian with major 9 (§9) A-7b5 (§9) & w w Levine says "Locrian #2" w 7. Altered dominant wmbw w w w 7th mode mel. minor B7alt & wm w "diminished whole tone" Shortcuts from parallel scales You can also spell the modes starting from a major or minor scale on the same tonic pitch as that mode: D natural minor scale D phrygian-dorian scale (compare marked notes) lower Phrygian- I I 2nd step, I I dorian w bw w w raise _ w nw w w Dsusb9 (§13) & w w w _ & bw w w w 6th step _ w Eb major scale Eb lydian augmented scale Lydian aug. -
Development of Musical Scales in Europe
RABINDRA BHARATI UNIVERSITY VOCAL MUSIC DEPARTMENT COURSE - B.A. ( Compulsory Course ) (CBCS) 2020 Semester - II , Paper - I Teacher - Sri Partha Pratim Bhowmik History of Western Music Development of musical scales in Europe In the 8th century B.C., The musical atmosphere of ancient Greece introduced its development by the influence of then popular aristocratic music. That music was melody- based and the root of that music was rural folk-songs. In each and every country, the development of music was rooted in the folk-songs. The European Aristocratic Music of the Christian Era had been inspired by the developed Greek music. In the 5th century B.C. the renowned Greek Mathematician Pythagoras had first established a relation between science and music. Before him, the scale of Greek music was pentatonic. Pythagoras changed the scale into hexatonic pattern and later into heptatonic pattern. Greek musicians applied the alphabets to indicate the notes of their music. For the natural notes they used the alphabets in normal position and for the deformed notes, the alphabets turned upside down [deformed notes= Vikrita svaras]. The musical instruments, they had invented are – Aulos, Salpinx, pan-pipes, harp, lyre, syrinx etc. In the western music, the term ‘scale’ is derived from Latin word ‘scala’, ie, the ladder; scale means an ascent or descent formation of the musical notes. Each and every scale has a starting note, called ‘tonic note’ [‘tone - tonic’ not the Health-Tonic]. In the Ancient Greece, the musical scale had been formed with the help of lyre , a string instrument, having normally 5 or 6 or 7 strings. -
Nora-Louise Müller the Bohlen-Pierce Clarinet An
Nora-Louise Müller The Bohlen-Pierce Clarinet An Introduction to Acoustics and Playing Technique The Bohlen-Pierce scale was discovered in the 1970s and 1980s by Heinz Bohlen and John R. Pierce respectively. Due to a lack of instruments which were able to play the scale, hardly any compositions in Bohlen-Pierce could be found in the past. Just a few composers who work in electronic music used the scale – until the Canadian woodwind maker Stephen Fox created a Bohlen-Pierce clarinet, instigated by Georg Hajdu, professor of multimedia composition at Hochschule für Musik und Theater Hamburg. Hence the number of Bohlen- Pierce compositions using the new instrument is increasing constantly. This article gives a short introduction to the characteristics of the Bohlen-Pierce scale and an overview about Bohlen-Pierce clarinets and their playing technique. The Bohlen-Pierce scale Unlike the scales of most tone systems, it is not the octave that forms the repeating frame of the Bohlen-Pierce scale, but the perfect twelfth (octave plus fifth), dividing it into 13 steps, according to various mathematical considerations. The result is an alternative harmonic system that opens new possibilities to contemporary and future music. Acoustically speaking, the octave's frequency ratio 1:2 is replaced by the ratio 1:3 in the Bohlen-Pierce scale, making the perfect twelfth an analogy to the octave. This interval is defined as the point of reference to which the scale aligns. The perfect twelfth, or as Pierce named it, the tritave (due to the 1:3 ratio) is achieved with 13 tone steps. -
Proquest Dissertations
A comparison of embellishments in performances of bebop with those in the music of Chopin Item Type text; Thesis-Reproduction (electronic) Authors Mitchell, David William, 1960- Publisher The University of Arizona. Rights Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author. Download date 03/10/2021 23:23:11 Link to Item http://hdl.handle.net/10150/278257 INFORMATION TO USERS This manuscript has been reproduced from the miaofillm master. UMI films the text directly fi^om the original or copy submitted. Thus, some thesis and dissertation copies are in typewriter face, while others may be fi-om any type of computer printer. The quality of this reproduction is dependent upon the quality of the copy submitted. Broken or indistinct print, colored or poor quality illustrations and photographs, print bleedthrough, substandard margins, and improper alignment can adversely affect reproduction. In the unlikely event that the author did not send UMI a complete manuscript and there are missing pages, these will be noted. Also, if unauthorized copyright material had to be removed, a note will indicate the deletion. Oversize materials (e.g., maps, drawings, charts) are reproduced by sectioning the original, beginning at the upper left-hand corner and contLDuing from left to right in equal sections with small overlaps. Each original is also photographed in one exposure and is included in reduced form at the back of the book. -
The Chromatic Scale
Getting to Know Your Guitar: The Chromatic Scale Your Guitar is designed as a chromatic instrument – that is, guitar frets represent chromatic “semi- tones” or “half-steps” up and down the guitar fretboard. This enables you to play scales and chords in any key, and handle pretty much any music that comes from the musical traditions of the Western world. In this sense, the chromatic scale is more foundational than it is useful as a soloing tool. Put another way, almost all of the music you will ever play will be made interesting not by the use of the chromatic scale, but by the absence of many of the notes of the chromatic scale! All keys, chords, scales, melodies and harmonies, could be seen simply the chromatic scale minus some notes. For all the examples that follow, play up and down (both ascending and descending) the fretboard. Here is what you need to know in order to understand The Chromatic Scale: 1) The musical alphabet contains 7 letters: A, B, C, D, E, F, G. The notes that are represented by those 7 letters we will call the “Natural” notes 2) There are other notes in-between the 7 natural notes that we’ll call “Accidental” notes. They are formed by taking one of the natural notes and either raising its pitch up, or lowering its pitch down. When we raise a note up, we call it “Sharp” and use the symbol “#” after the note name. So, if you see D#, say “D sharp”. When we lower the note, we call it “Flat” and use the symbol “b” after the note. -
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. -
How to Incorporate Bebop Into Your Improvisation by Austin Vickrey Discussion Topics
How to Incorporate Bebop into Your Improvisation By Austin Vickrey Discussion Topics • Bebop Characteristics & Style • Scales & Arpeggios • Exercises & Patterns • Articulations & Accents • Listening Bebop Characteristics & Style • Developed in the early to mid 1940’s • Medium to fast tempos • Rapid chord progressions / changes • Instrumental “virtuosity” • Simple to complex harmony - altered chords / substitutions • Dominant syncopation of rhythms • New melodies over existing chord changes - Contrafacts Scales & Arpeggios • Scales and arpeggios are the building blocks for harmony • Use of the half-step interval and rapid arpeggiation are characteristic of bebop playing • Because bebop is often played at a fast tempo with rapidly changing chords, it’s crucial to practice your scales and arpeggios in ALL KEYS! Scales & Arpeggios • Scales you should be familiar with: • Major Scale - Pentatonic: 1, 2, 3, 5, 6 • Minor Scales - Pentatonic: 1, b3, 4, 5, b7; Natural Minor, Dorian Minor, Harmonic Minor, Melodic Minor • Dominant Scales - Mixolydian Mode, Bebop Scales, 5th Mode of Harmonic Minor (V7b9), Altered Dominant / Diminished Whole Tone (V7alt, b9#9b13), Dominant Diminished / Diminished starting with a half step (V7b9#9 with #11, 13) • Half-diminished scale - min7b5 (7th mode of major scale) • Diminished Scale - Starting with a whole step (WHWHWHWH) Scales & Arpeggios • Chords and Arpeggios to work in all keys: • Major triad, Maj6/9, Maj7, Maj9, Maj9#11 • Minor triad, m6/9, m7, m9, m11, minMaj7 • Dominant 7ths • Natural extensions - 9th, 13th -
Theory IV – Study Guide Dr. Amy Dunker Clarke College Dubuque, IA 52001 Classical Serialism Arnold Schoenb
Theory IV – Study Guide Dr. Amy Dunker Clarke College Dubuque, IA 52001 www.amydunker.com Classical Serialism Arnold Schoenberg composed the first twelve-tone piece in the summer of 1921 (Suite, Op. 25 (completed in 1923). Schoenberg had developed a method of composing with twelve tones that are related only with one another. He saw twelve-tone or serial composition as the natural extension of chromaticism on the tonal system. Anton Webern and Alban Berg: Schoenberg’s two pupils who composed in the twelve- tone method. Tone Row (also called , Row, Set, Basic Set, Series): an arrangement of the twelve pitches of the chromatic scale so that no notes repeat (except immediately after it is heard and trills/tremolos) until all pitches of the row have sounded in order. Dodecaphonic Scale: Twelve tone scale Four Forms of the Tone Row: Prime: The original set (do not confuse this with the terms use in Non-Serial Atonality) Retrograde: The original set in reverse order (i.e. backwards) Inversion: The mirror inversion of the original set Retrograde Inversion: The inversion in reverse order Abbreviations: P=Prime R=Retrograde I=Inversion RI=Retrograde Inversion *In addition, each of the four basic forms has twelve transpositions Order Numbers: numbers assigned to the row which indicate each notes intervallic distance from the first note of the row. The first note of the row is assigned the number zero (0). Twelve-Tone Matrix (“Magic Square”): a method of determining all 48 possible versions of the tone row. To construct a Twelve-Tone Matrix do the following: 1.) Fill in the Prime or Original row across the top ( from left to right) using the row’s order numbers. -
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. -
Music Perception 13
Music Perception 13 LEARNING OBJECTIVES ISLE EXERCISES 13.1 Kurdish Music Example 13.1 Explain how frequency is related to pitch, chroma, and the octave. 13.2 Javanese Gamelan Music Example 13.2 Summarize the basic neuroscience of music, including how training and experience can affect the representation of music in the brain. 13.3 Ancient Greek Music 13.4 35,000-Year-Old Flute 13.3 Discuss how learning and culture affect music perception. distribute 13.5 Is This Music? 13.6 The Octave and or Tone Similarity INTRODUCTION 13.7 Pentatonic Music 13.8 Meter and Beat Wherever you travel, you will find music. It may sound very different from the music you are accustomed to hearing, but you will recognize it instantly as music. In Kurdistan, we 13.9 Bolero Clip find a unique culture of music featuring such instrumentspost, as the tanbur (a fretted string 13.10 Attack and Decay instrument), the qernête (a double-reed wind instrument), and the şimşal (a flutelike 13.11 Examples of Melody instrument) (Figure 13.1). Although most of you may never have heard of these instru- ments and may never have heard Kurdish music before, you would instantly recognize 13.12 Types of Scales them as musical instruments, and you might even like Kurdish music (see ISLE 13.1 for 13.13 Gestalt Principles an example of Kurdish music). Review copy, © Aurora Photos/Alamy 13.14 Gestalt Principle: Proximity: Bach’s Partita No. 3 in E major not 13.15 A Shave and a Haircut 13.16 Cross-Modal Matchings as a Simulation of Synesthesia Do 13.17. -
Towards a Generative Framework for Understanding Musical Modes
Table of Contents Introduction & Key Terms................................................................................1 Chapter I. Heptatonic Modes.............................................................................3 Section 1.1: The Church Mode Set..............................................................3 Section 1.2: The Melodic Minor Mode Set...................................................10 Section 1.3: The Neapolitan Mode Set........................................................16 Section 1.4: The Harmonic Major and Minor Mode Sets...................................21 Section 1.5: The Harmonic Lydian, Harmonic Phrygian, and Double Harmonic Mode Sets..................................................................26 Chapter II. Pentatonic Modes..........................................................................29 Section 2.1: The Pentatonic Church Mode Set...............................................29 Section 2.2: The Pentatonic Melodic Minor Mode Set......................................34 Chapter III. Rhythmic Modes..........................................................................40 Section 3.1: Rhythmic Modes in a Twelve-Beat Cycle.....................................40 Section 3.2: Rhythmic Modes in a Sixteen-Beat Cycle.....................................41 Applications of the Generative Modal Framework..................................................45 Bibliography.............................................................................................46 O1 O Introduction Western -
The Bohlen-Pierce Scale: Continuing Research
The Bohlen-Pierce Scale: Continuing Research Elaine Walker - Final Project in Advanced Acoustics, NYU, Spring 2001 The purpose of this project was to conduct a study on the perception of scales and chord progressions in the Bohlen-Pierce Scale. The version of the Bohlen-Pierce Scale I used in these experiments is an equal-tempered scale based on the 13th root of 3, which gives 13 equal steps spanning the “tritave” (an octave and a fifth). This scale has been shown to have perceptible properties such as consonant and dissonant chords, and a rich structure that is comparable in complexity to the 12 tone equal tempered scale, but completely different in detail. This study included a set of listening examples and data sheets for the subjects to fill out. For the test subjects, I primarily chose trained musicians, so that they would understand the terminology like “major”, “minor” or “cadence” that were prevalent in the questions relating to the listening examples. In general, a much different set of questions and experiments would need to be written for test subjects with no musical training. Figure 1: Bohlen in 1973, tinkering with the transcription of a Christmas carol into his "13-Step Scale" (BP) The Bohlen-Pierce Scale was designed by Heinz Bohlen, a microwave electronics and communications engineer, in the early 1970's in just tuning. He discovered its suitability to be turned into an equally tempered scale with a minimal defect just days after inventing the tuning. About six years later, another microwave electronics and communications engineer, John R. Pierce ("Father of the Communication Satellite" and creator of the "Pierce (electron) gun") discovered the same scale again, also proposing that it be used in the equal tempered form.