Composing One-to-One Counterpoint

Introduction to One-to-One Counterpoint

  • Presented by Dr. Jacob Graham.
  • Focus on first species counterpoint, an ancient composition exercise.
  • Taught to notable classical composers:
    • Haydn
    • Mozart
    • Beethoven
  • Arnold Schoenberg also emphasized counterpoint in his teachings.
  • Purpose of counterpoint: build skills in composing simultaneous melodies.
  • Relevance in both classical and popular music composition.

Structure of the Video

  • Divided into three main parts:
    1. Learn the rules of one-to-one counterpoint through an example by Schubert and Salieri.
    2. Participate in a collective exercise with a thought process walkthrough.
    3. Assign homework focusing on the composition of a counterpoint.

Understanding the Cantus Firmus

  • Definition: "Cantus firmus" means "given melody" in Latin.
  • Characteristics:
    • Typically short, around 8 to 12 notes.
    • Composed by a teacher for students to create a counterpoint.
  • Analogy: Similar to a haiku in poetry, it is concise and impactful.
    • Avoids unnecessary notes, especially repetitions.
  • Melodic Fluency:
    • Requires no directly repeated tones or small melodic motives.
    • Allows listeners to easily split attention between melodies.
    • Melodic fluency relates to the ease of mental tracking.

Analyzing Salieri's Given Melody

  • First observations:
    • Melody is mostly stepwise, promoting predictability.
    • Leaps occur, but only by consonant intervals:
    • Examples include perfect fourths.
    • Allowed consonant leaps: 3rd, 4th (exceptions: f to b), 5th (exceptions: b to f), 6th, and octave.
    • Avoid dissonant intervals such as 7th, augmented/diminished intervals, and leaps larger than an octave.
  • Recovery from leaps:
    • Typically achieved by stepwise motion in the opposite direction.
    • Important for large leaps (> 3rd).
    • Example: Similar to a basketball’s trajectory; upward movement followed by descent.

Structural Stability in Melody

  • The Cantus firmus must begin and end on scale degree one (C for middle C).
  • Importance of the starting point:
    • Defines its role as a baseline or inner voice.
    • Gauge for establishing tonal center.
    • Required for achieving a good sense of closure.
  • Melodic Motion:
    • Needs a high point distinctly separate from the tonal endpoints (scale degree one).
    • Example from Salieri: high point at A (6th above C).
    • Tension and release demonstrated: ascend to high point, then descend fluidly to closure.

Schubert's Counterpoint Example

  • Schubert's counterpoint follows rules of melodic fluency akin to Salieri's melody:
    • Starts on scale degree three because it is above the given melody.
    • High point on the melody contrasts with Salieri's.
    • Shape of counterpoint is descending, offering variety in interaction.
  • Melodic Interest:
    • Derived from interactions of two melodies rather than individual melody strength.
    • Counterpoint can include occasional repeated tones for emphasis (e.g., Cs repeated).
  • Caution: Over-repetition can shift listener focus away.

Interaction Rules Between Melodies

  • Rule 1: Exercise must include no dissonant harmonic intervals.
    • Types of intervals:
    • Perfect consonances: unisons, octaves, and fifths.
    • Imperfect consonances: thirds, sixths, tenths (desirable for fluidity).
    • Dissonant harmonic intervals include seconds, fourths, sevenths, augmented, and diminished intervals.
    • Perfect consonances are stable but should not be overused to avoid dullness in composition.

Approaches to Independence in Voice Leading

  • Contrary Motion:
    • One melody moves up while the other moves down, offering the best independence.
  • Direct Motion:
    • Two types:
    • Parallel Motion: Same direction by same interval; to be avoided (e.g., parallel thirds).
    • Similar Motion: Same direction by different intervals; less preferred than contrary motion.
  • Oblique Motion:
    • One melody stays while the other moves (e.g., repeated tones); creates independence.
  • Balance is essential: avoid excess contrary motion or repetition for vibrancy.

Rules and Constraints in Composition

  • Rule 2: Must not approach a perfect consonance with direct motion.
    • Results in a clunky, inelegant sound.
  • Schubert's counterpoint avoids consecutive parallels, using opposite or contrary motion before perfect consonances (notably the octave at the end).
  • Conclusion: Composing below given melodies mirrors creating above them, with specific constraints on starting pitches and melodic goals (typically descending).

Minor Mode Example

  • Demonstrates analogous technique with a minor scale starting on D.
    • Emphasizes raising leading tone (C to C#), customary in cadences.
  • Evaluation of Schubert’s exercise on dissonant intervals; balancing stable and unstable sounds is key to successful composition.