Harmony  33484

  • Preface to the Fifth Edition   Mark DeVoto
  • Introduction to the First Edition (1941)   Walter Piston
  1. Tonal Harmony in Common Practice
    1. Materials of Music: Scales and Intervals
      • Intervals Measured by Scales
      • Scale Degrees
      • Classification of Intervals
      • Compound Intervals
      • Inversion of Intervals
      • Enharmonic Intervals
    2. Triads
      • Chord Factors
      • Triads on the Scale Degrees
      • Kinds of Triads
      • Inversions
      • Consonant and Dissonant Intervals
      • Triads of the Major Mode
      • Four-Part Writing
      • Doubling
      • The Leading-Tone Triad
      • Spacing
      • Close and Open Position
      • Notation
    3. Harmonic Progression in the Major Mode: Principles of Voice Leading
      • Table of Usual Root Progressions
      • Connection of Chords: Two Rules of Thumb
      • Improving the Exercise: Beyond the Rules of Thumb
      • Conjunct and Disjunct Melodic Motion
      • Rules of Motion
      • The Direct Octave and Fifth
      • Treatment of the Leading Tone
      • Overlapping and Crossing
      • Similar Motion of Four Voices
      • Quick Summary of Motion Rules
      • Working on the Exercises
    4. The Minor Mode
      • Scale Differences
      • Triads in the Minor Mode
      • Harmonic Progression
      • Voice Leading
    5. Tonality and Modality
      • Modal Scales
      • Tonal Functions of the Scale Degrees
      • Dominant Harmony
      • Tonal Strength of Chords
      • Interchangeability of Modes
      • The Picardy Third
      • Relationship of Relative Major and Minor: The Secondary Dominant Principle
      • Chromaticism and Tonality
      • Arpeggiation of Chord Factors
    6. The First Inversion—The Figured Bass
      • Arabic-Numeral Notation
      • Doubling
      • General Effect of the First Inversion
      • Voice Leading
      • Consecutive First-Inversion Triads
      • Usage of the Various Triads
      • Keyboard Harmony and Figured Bass
    7. Function and Structure of Melody
      • Uses of Melody
      • Shape
      • The Motive
      • The Phrase
      • Harmony in Melody—Polyphonic Melody
      • Melodic Variation
      • Approach to Melodic Analysis
    8. Nonharmonic Tones
      • Analysis of the Melody
      • Melodic Skips
      • Sustained Tones
      • Available Chords
      • Contrapuntal Approach: Melody and Bass
      • Use of Formulae
      • Harmonization and Nonharmonic Tones
    9. Harmonization of a Melody
      • Analysis of the Melody
      • Melodic Skips
      • Sustained Tones
      • Available Chords
      • Contrapuntal Approach: Melody and Bass
      • Use of Formulae
      • Harmonization and Nonharmonic Tones
    10. The Six-Four Chord
      • The Cadential Six-Four Chord
      • The Auxiliary Six-Four Chord
      • The Passing Six-Four Chord
      • The Arpeggiating Six-Four Chord and Other Forms
    11. Cadences
      • The Authentic Cadence
      • Perfect and Imperfect Cadences
      • The Half Cadence
      • The Plagal Cadence
      • Downbeat and Upbeat Cadences
      • The Deceptive Cadence
      • The Phrygian Cadence
      • Exceptional Cadential Types
    12. Harmonic Rhythm
      • Rhythmic Texture of Music
      • Harmonic Rhythm and Melodic Rhythm
      • Frequency of Root Change
      • Strength of Harmonic Progressions
      • Dynamic Indications
      • Nonharmonic Chords
    13. Harmonic Structure of the Phrase
      • Unity and Variety
      • Number of Measures in the Phrase
      • The Phrase Beginning
      • Connection of Phrases
      • Sequence
      • Phrase and Period: Antecedent and Consequent
      • Form of the Short Piece
      • Analysis of Short Pieces
      • Application
    14. Modulation
      • Psychological Necessity for Change of Key
      • Elementary Relationships: Three Stages
      • Examples of Modulating Phrases
      • Levels of Tonality: Tonicization and Intermediate Modulation
      • The Modulation Chain
      • Related Keys
      • Interchange of Modes
      • Exploration of Means
      • Enharmonic Changes
      • Abrupt Modulations
      • Pivot Tones
    15. The Dominant Seventh Chord
      • Origin of the Harmonic Dissonance
      • Regular Resolution
      • The First Inversion
      • The Second Inversion
      • The Third Inversion
    16. Secondary Dominants
      • Importance and Definition of the Secondary Dominant Function
      • Resolution
      • Using the Secondary Dominants
      • Cross-Relation
      • V of II
      • V of III
      • V of IV
      • V of V
      • V of VI
      • V of VII.
    17. Irregular Resolutions
      • Definitions of Irregularities
      • Variety of Irregular Resolutions
      • Irregular Resolutions of the Secondary Dominants
    18. Musical Texture
      • Vocal and Instrumental Texture
      • Examples of Homophonic Texture
      • Ensemble Texture
      • The Orchestra
      • Reduction of Textures
    19. Problems in Harmonic Analysis
      • Purpose of Analysis
      • Extension of the Secondary Dominant Principles: Dual-Function Chords
      • Rules of Voice Leading: Some Exceptional Circumstances
      • Score Reading
    20. The Sequence
      • The Initial Pattern
      • Harmonic Rhythm
      • Length of the Sequence
      • Degree of Transposition
      • The Nonmodulating Sequence
      • Secondary Dominants in the Sequence
      • The Modulating Sequence
      • The Sequences in Harmonization
      • Keyboard Practice
    21. The Diminished Seventh Chord
      • Definitions
      • Enharmonic Equivalents
      • Resolution
      • Inversions
      • The Secondary Dominants
      • Irregular Resolution
      • Consecutive Diminished Sevenths
      • Modulation Using the Diminished Seventh Chord
    22. The Incomplete Major Ninth
      • The Half-Diminished Seventh Chord
      • Inversions
      • Irregular Resolution
      • Secondary Dominants
      • Modulation
    23. Non-Dominant Harmony—Seventh Chords
      • Function of Dissonant Non-Dominant Chords
      • Comparative Structure of Seventh Chords
      • The Nonharmonic Element
      • Resolution
      • The Tonic Seventh
      • The Supertonic Seventh
      • The Mediant Seventh
      • The Subdominant Seventh
      • The Submediant Seventh
      • The Leading-Tone Seventh
      • Nondominant Sevenths in Sequence
      • Modulation
      • Neighbor-Note Harmony: The Triad with Added Sixth
      • The Half-Diminished Seventh Chord
    24. Ninth, Eleventh and Thirteenth Chords
      • The Complete Dominant Ninth
      • Spacing
      • Inversions
      • Secondary Dominants
      • Modulation
      • Nondominant Ninth Chords
      • Appogiature with Delayed Resolution
      • The Unresolved Appogiatura
      • Eleventh and Thirteenth
    25. Chromatically Altered Chords: The Raised Supertonic and Submediant
      • II7 and VI7 with Raised Root and Third
      • Notation
      • Rhythm
      • Cross-Relation
      • Mode
      • Irregular Resolution
      • Modulation
    26. The Neapolitan Sixth
      • Definition, Resolution, Preparation, and Doubling
      • Secondary Relationships
      • V of the Neapolitan
      • Intermediate Modulation
      • Modulation with the Neapolitan
    27. Augmented Sixth Chords
      • Origin as Secondary Dominants
      • Definitions
      • Resolution
      • Inversions
      • Irregular Resolutions
      • Modulation
      • Exceptional Forms
    28. Other Chromatic Chords
      • Enharmonic Restrictions of Altered Scale Degrees
      • The Augmented Fifth
      • The Diminished Fifth
      • The Raised and Lowered Fifth
      • Appogiatura Chords
      • Characteristic Chromaticism
  2. After Common Practice
    1. Harmonic Practice Historically Considered
    2. Extensions of Common Practice
      • Modal Scales and Modal Harmony
      • The Decline of Dominant Harmony
      • Remote Tonal Relationships
      • The Reevaluation of Counterpoint
      • The Independent Vertical Sonority
      • New Definitions of Tonality
    3. Scalar and Chordal Types
      • The Pentatonic Scale
      • The Whole-Tone Scale
      • Artificial Scales
      • Parallel and Antiparallel Harmony
      • Tertial Harmony
      • Quartal Harmony
      • Quintal Harmony
      • Secondal Harmony
      • Pandiatonicism
      • Polychords and Polytonality
      • Modal Mixture
      • The Inverted Ninth Chord
      • Appogiatura Chords
    4. Extended Chromaticism
      • Tonality-Supporting and Tonality-Weakening Elements
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