Questions: Harmonic Function in Post-Tonal and Atonal Music

Question 1

An analyst listening to a Webern movement hears a moment of unmistakable arrival — tension releases, and the phrase feels concluded. There is no tonic-dominant cadence. What framework should guide the analysis of what caused this effect?

• A. The moment must be an error in perception — without tonal cadence, there can be no genuine harmonic arrival
• B. Examine which pitch-class set relationships, registral changes, dynamic shifts, or textural thinning create the functional impression of resolution in this specific context
• C. Find the closest tonal equivalent and map the progression onto a modified Roman numeral analysis
• D. Set-class labels will identify the resolution: stable set classes (like major triads) produce arrival; unstable ones produce tension

Answer: (B)

Post-tonal music does not abandon harmonic function — it relocates it. Tension and resolution can arise from set-class relationships (some sets feel more closed or open in context), spectral properties (proximity to the harmonic series), textural density (thick clusters → sparse texture), register (convergence to a low unison), and dynamics. The analytical task is identifying which of these mechanisms is operative in the specific work, not dismissing the perception or forcing tonal labels onto it.

Question 2

A student labels every vertical sonority in a post-tonal piece with its Forte number (pitch-class set name) and claims to have completed a harmonic analysis. What is most importantly missing?

• A. The set-class labels must also include the prime form in brackets to be analytically valid
• B. The analysis needs to identify which sonorities function as points of arrival versus forward motion, and how voicing, register, dynamics, and context shape those functional roles — set labels alone do not reveal harmonic function
• C. The analysis should also include a Roman numeral reduction to show underlying tonal implications
• D. Nothing is missing — identifying the pitch-class content of each chord is the definition of post-tonal harmonic analysis

Answer: (B)

Set-class labels are a starting point, not a conclusion. The same set class (say, 3-3 or 4-19) can function as either a point of stability or tension depending on how it is voiced, what surrounds it, how loudly it is played, and what register it occupies. A genuine harmonic analysis of post-tonal music maps the functional trajectory: which moments feel like arrivals, which generate motion, and what sonic features create those impressions. Context and voicing matter enormously.

Question 3

Because post-tonal music abandons the tonic-dominant polarity of functional tonality, it also abandons any meaningful sense of harmonic tension and resolution.

• T. True
• F. False

Answer: False

This is the central misconception about atonal and post-tonal music. Post-tonal composers (Schoenberg, Webern, Berg, Bartók) construct sophisticated systems of tension and resolution — they simply replace tonic-dominant polarity with other mechanisms: set-class proximity and symmetry, spectral consonance/dissonance, textural density, registral convergence, dynamic shape, and formal proportion. The analytical challenge is identifying these systems rather than assuming their absence.

Question 4

The same pitch-class set can function as a point of tension in one passage and a point of arrival in another passage of the same post-tonal work.

• T. True
• F. False

Answer: True

Set-class labels are context-independent by definition — they describe the interval structure of the pitch collection, not its role in a specific passage. But harmonic function is entirely context-dependent. A set that appears at fortissimo in dense texture with high register creates tension; the same set appearing at pianissimo in sparse texture as a final chord can create closure. Voicing, dynamics, register, and formal position all determine whether a sonority functions as arrival or departure.

Question 5

Name three sources of harmonic tension and resolution in post-tonal music that replace the tonic-dominant polarity of tonal music.

Model answer: Three alternatives include: (1) set-class relationships — certain pitch-class sets feel more closed or stable in context, and movement between them can create directed harmonic motion; (2) spectral consonance — proximity to or distance from the harmonic series determines perceptual consonance and dissonance independently of tonal function; (3) textural density — thick, dense clusters create tension; sparse, open textures provide release. Additional valid answers include registral convergence/divergence, dynamic shape, and rhythmic density.

Post-tonal analysis requires building a contextual grammar for each work individually: Bartók's axis system, Webern's symmetrical set transformations, Messiaen's modes of limited transposition, and Ligeti's micropolyphony each create different functional hierarchies. What they share is that harmonic direction is still present and analyzable — the analyst's job is to discover the system the composer is using, not to declare the music harmonically structureless.