https://musictheory.pugetsound.edu/mt21c/MusicTheory.html Skip to main content \( \newcommand{\lt}{<} \newcommand{\gt}{>} \newcommand{\amp}{&} \) Music Theory for the 21st-Century Classroom Robert Hutchinson Contents IndexPrevUpNext ContentsPrevUpNext * Front Matter + Colophon + Acknowledgements + Preface * 1 Basic Concepts + Pitch + Notation + Octave Registers + Accidentals + Enharmonic Notes + Practice Exercises * 2 Major Scales and Key Signatures + Half Steps and Whole Steps + The Major Scale + Major Key Signatures + Practice Exercises * 3 Minor Scales and Key Signatures + Minor Scales + Minor Key Signatures + Scale Degree Names + Practice Exercises * 4 Basics of Rhythm + Time Signature + Durational Symbols + Dots and Ties + Meter + Tuplets + Common Rhythmic Notation Errors + Practice Exercises * 5 Intervals + Introduction to Intervals + How to Identify Perfect, Major, and Minor Intervals + How to Write Perfect, Major, and Minor Intervals + Inversion of Intervals Explained + Augmented and Diminished Intervals + Practice Exercises * 6 Triads + Introduction to Triads + Lead-Sheet Symbols + Inverted Triads + Analyzing Chords + Simple "Sus" Chords + Summary + Practice Exercises * 7 Roman Numerals and Cadences + Roman Numeral Chord Symbols + Diatonic Chords in Major + Diatonic Chords in Minor + Cadences + Practice Exercises * 8 Seventh Chords + Introduction to Seventh Chords + The IV/5 "sus" chord + Roman Numerals of Diatonic Seventh Chords + Practice Exercises * 9 Harmonic Progression and Harmonic Function + The Circle of Fifths Progression + Harmonic Rhythm + Shorter Progressions from the Circle of Fifths + Harmonic Function + Exceptions Created by Harmonic Sequences + The Subtonic VII Chord in Popular Music + The Best-Seller Progression + The i-VII-VI-VII Progression + Practice Exercises * 10 Non-Chord Tones + Introduction to Non-Chord Tones + Passing Tones + Neighbor Tones + Appoggiatura + Escape Tone + Double Neighbor + Anticipation + Pedal Point + Suspension + Retardation + Incomplete Neighbor + Practice Exercises * 11 Melodic Analysis + Motive + Melodic Alteration + Fragment + Phrase + Subphrase + Practice Exercises * 12 Form in Popular Music + Verse-Chorus Form + AABA Form + ABAC Form + The 12-Bar Blues + Harmonically Closed and Open Sections + Practice Exercises * 13 Phrases in Combination + The Perfect Authentic Cadence + The Sentence + The Period + The Asymmetrical Period + The Double Period + Phrase Groups and Phrase Chains + The Elision + Summary of Phrases in Combination + Practice Exercises * 14 Accompanimental Textures + Texture + Chorale Texture + Arpeggiated Accompaniments + Block Chord Accompaniments + Afterbeats and Offbeats + The 3-2 Son Clave + Distinctive Bass Lines * 15 Creating Contrast Between Sections + The Elements of Music + Mozart, Eine kleine Nachtmusik, K. 525, II. + "Rude" by MAGIC! * 16 Figured Bass + Historical Context + Figured Bass Inversion Symbols + The Cadential Six-Four Chord + Other Occurrences of Six-Four Chords + Additional Information + Practice Exercises * 17 Secondary Dominant Chords + Examples with Secondary Dominants + Tonicization + Secondary Dominants in Major and Minor + Analyzing Secondary Dominants + Writing Secondary Dominants + Irregular Resolutions of Secondary Chords + Practice Exercises * 18 Secondary Diminished Chords + Secondary Diminished Chords + Secondary Diminished Chords in Major and Minor + Analyzing Secondary Diminished Chords + Writing Secondary Diminished Chords + Practice Exercises * 19 Mode Mixture + Mode Mixture + Harmonization of Borrowed Scale Degrees + Analyzing and Writing Borrowed Chords + The Deceptive Cadence with \(\left.\text{VI}\right.\) + The Picardy 3rd + Practice Exercises * 20 The Neapolitan Chord + The Neapolitan Chord + Examples of the Neapolitan Chord + Practice Exercises * 21 Augmented Sixth Chords + Augmented Sixth Chords + Types of Augmented Sixth Chords + Analyzing Augmented Sixth Chords + Lead-Sheet Analysis of Augmented Sixth Chords + Examples with Augmented Sixth Chords + Distingushing Between Chromatic Harmonies + Descending Chromatic Bass Lines + Chromatic Pre-Dominant Chords + Practice Exercises * 22 Modulation + Modulation + Tonicization versus Modulation + Key Relationships + Modulations with Diatonic Pivot Chords + How to Recognize a Key After a Modulation + Modulations with Chromatic Pivot Chords + Modulations Without Pivot Chords + Practice Exercises * 23 Enharmonic Modulation + Enharmonic Modulation + The V7 and Ger+6 as Pivot Chords + The Fully Diminished Seventh as Pivot Chord + Practice Exercises * 24 Binary and Ternary Forms + Binary and Ternary Form + Sectional versus Continuous + Balanced Binary + Rounded Binary + Simple Binary + Binary Principle + Ternary Form + Distinguishing between Rounded Binary and Ternary + Practice Exercises * 25 Sonata and Rondo Forms + Sonata Form + The Four Structural Functions in Music + Rondo Form + Rondo Character + Standard Forms in a Multimovement Classical Piece + Practice Exercises * 26 Voice Leading Triads + Voice Leading + Types of Motion + Objectionable Parallels + Voice Ranges + Rules of Melody + Rules of Spacing + Voice Leading Root Position Triads in Four Parts + Voice Leading First-Inversion Triads + Voice Leading Second Inversion Triads + Special Situations + Types of Six-Four Chords + Summary of Doubling Rules for Triads + Practice Exercises * 27 Voice Leading Seventh Chords + Voice Leading Seventh Chords + Voice Leading Successive Seventh Chords + Voice Leading the \(\left.\text{V}^{7}\right.\) to \(\left.\ text{I}\right.\) Progression + The Special Resolution of vii\(\left.\text{}^{\circ}{}^{7}\ right.\) (and vii\(\left.\text{}^o{}^{7}\right.\)) + When to Use Seventh Chords + Practice Exercises * 28 Voice Leading With Non-Chord Tones + Voice Leading With Non-Chord Tones + Avoiding Objectionable Parallels + Adding Non-Chord Tones to a Chord Progression + Practice Exercises * 29 Voice Leading Chromatic Harmonies + Voice Leading Secondary Chords + Voice Leading Borrowed Chords + Voice Leading the Neapolitan Chord + Voice Leading Augmented Sixth Chords + Practice Exercises * 30 Introduction to Counterpoint + Species Counterpoint + First Species Counterpoint + Second Species Counterpoint + Third Species Counterpoint + Fourth Species Counterpoint + Fifth Species Counterpoint + Invention Expositions + Fugue Analysis + Practice Exercises * 31 Introduction to Jazz Theory + Jazz Chord Basics + Chord Symbol Specifics + Altered Dominant Seventh Chords + Chord Labels + How to Write Jazz Chords + How to Analyze Jazz Chords + Jazz Chord Voicings + Standard Chord Progressions + Scales + How to Determine Chord-Scale Relationships + Harmonizing the Bebop Scale + Practice Exercises * 32 Impressionism and Extended Tonality + Impressionism + Pandiatonicism + Quartal, Quintal, and Secundal Harmony + Polychords + Practice Exercises * 33 Set Theory + Set Theory + Normal Form + Prime Form + Interval Vector + Forte Numbers + Lists of Set Classes + Transposition (T\(\text{}_{n}\)) + Inversion (T\(\text{}_{n}\)I) + Practice Exercises * 34 Serialism + Twelve-Tone Technique + Determining Row Forms + Writing Row Forms + Twelve-Tone Matrix + Row Form Presentation in Music + Non-Twelve-Tone Serialism + Practice Exercises * 35 Minimalism + Additive Minimalism + Phase Shifting + Homework Assignments * Back Matter * A Answers to Practice Exercises * B GNU Free Documentation License * Index * Colophon Authored in PreTeXtPowered by MathJax * Front Matter * 1 Basic Concepts * 2 Major Scales and Key Signatures * 3 Minor Scales and Key Signatures * 4 Basics of Rhythm * 5 Intervals * 6 Triads * 7 Roman Numerals and Cadences * 8 Seventh Chords * 9 Harmonic Progression and Harmonic Function * 10 Non-Chord Tones * 11 Melodic Analysis * 12 Form in Popular Music * 13 Phrases in Combination * 14 Accompanimental Textures * 15 Creating Contrast Between Sections * 16 Figured Bass * 17 Secondary Dominant Chords * 18 Secondary Diminished Chords * 19 Mode Mixture * 20 The Neapolitan Chord * 21 Augmented Sixth Chords * 22 Modulation * 23 Enharmonic Modulation * 24 Binary and Ternary Forms * 25 Sonata and Rondo Forms * 26 Voice Leading Triads * 27 Voice Leading Seventh Chords * 28 Voice Leading With Non-Chord Tones * 29 Voice Leading Chromatic Harmonies * 30 Introduction to Counterpoint * 31 Introduction to Jazz Theory * 32 Impressionism and Extended Tonality * 33 Set Theory * 34 Serialism * 35 Minimalism * Back Matter