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:
- 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:
- Learn the rules of one-to-one counterpoint through an example by Schubert and Salieri.
- Participate in a collective exercise with a thought process walkthrough.
- 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.