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Volume III · Chapter 26

Form and Analysis

MUSIC 21A · C-ID MUS 140Chapter quiz →

In the musicianship bookChapter 23: Other Close Keys, Binary and TernaryChapter 24: Integration

Introduction: The Shape of a Whole Piece

Phrases and themes (Chapter 25) are the sentences of music. Form is how those sentences add up to a whole piece: which sections there are, which keys they visit, where material returns, and where the big cadences fall. Analyzing form means answering three questions:

  1. Where are the sections? Look for strong cadences, double bars and repeat signs, changes of texture, and returns of opening material.
  2. What key is each section in? Track modulations and the cadence that ends each section.
  3. What material is new, and what returns? Label sections with capital letters (A, B, A′).

This chapter covers the main forms of the common-practice era (binary, ternary, minuet and trio, rondo, theme and variations, sonata) and three of the most common forms in popular music.

Click any musical example to hear it.

Binary Form

Binary form has two parts, each usually repeated: ‖: A :‖ ‖: B :‖. Two questions sort binary pieces into types.

1. How does the first part end?

  • Sectional binary: the first part ends with a PAC in the home key. It could stand alone.
  • Continuous binary: the first part ends in a new key (usually V, or III in minor) or with a half cadence. It needs the second part to finish.

2. Does the opening return in the second part?

  • Rounded binary: partway through the second part, the opening material returns in the home key. Diagram: ‖: A :‖ ‖: B A′ :‖.
  • Simple binary: no return of the opening; the second part continues with other material. Often the end of the first part is echoed (transposed to the home key) at the end of the second, which is called balanced binary.
APAC in DBHCA′ (return)PAC
Example 26.1. A minuet in G major: continuous rounded binary. The first part modulates to D (V) and ends with a PAC there; the second part prolongs V, reaches an HC, and then the opening returns in the home key (bar 13).
AI → VPAC in VBVHCA′IPAC
Example 26.2. Form diagram of the minuet. Repeat signs enclose each part; keys are shown under the sections and cadences at their ends.
TypePart 1 endsOpening returns in Part 2?Diagram
Sectional simple binaryPAC in INo‖: A :‖ ‖: B :‖
Continuous simple binaryin V (or HC)No‖: A :‖ ‖: B :‖
Sectional rounded binaryPAC in IYes‖: A :‖ ‖: B A′ :‖
Continuous rounded binaryin V (or HC)Yes‖: A :‖ ‖: B A′ :‖

Ternary Form

Ternary form (A B A) is the form of statement, departure, return. Unlike rounded binary, each A section is complete and closed (ending with a PAC in the home key), and B is a genuine contrast: a new key (often the parallel or relative key, or IV), a new texture, a new character. Many songs, character pieces, and arias are ternary; the da capo aria marks the return with da capo ("from the head").

AIPACBcontrasting keyPAC or HCAIPAC
Example 26.3. Simple ternary form. Each A is complete; B contrasts in key and character.

Minuet and Trio (Compound Ternary)

A Classical minuet movement is a ternary form whose sections are themselves binary forms, so it's called compound ternary. The trio is a second minuet, traditionally lighter in texture (originally scored for three instruments), often in a related key (IV, V, or the parallel mode). After the trio, the performers go back to the minuet (Menuetto da capo), playing it this time without repeats.

AI → VB A′→ ICIVD C′→ IVAIB A′IPACMinuetTrioMinuet da capo
Example 26.4. Minuet and trio: three large sections, each a rounded binary. The da capo is played without repeats. Scherzo-and-trio movements (Beethoven and later) have the same shape at a faster tempo.

Rondo

In a rondo, a main theme (the refrain, A) returns again and again in the home key, alternating with contrasting episodes. Rondos are typical of fast, cheerful finales.

  • Five-part rondo: A B A C A (with B and C in different keys).
  • Seven-part rondo: A B A C A B A. The second B returns transposed to the home key, much as in a sonata recapitulation.
  • Sonata-rondo: a seven-part rondo whose C section is a development. It combines the refrain principle with sonata-form key logic.
  • Retransitions (passages over V that prepare the refrain) and a closing coda are common.
AIPACBVAIPACCvi or iAIPACBIAIPAC
Example 26.5. Seven-part rondo. The refrain always returns in I; the second B is brought home.

Theme and Variations

A theme and variations states a theme (often a short rounded binary) and then repeats it several times, each time changed. The structure (phrase lengths, cadences, harmonic plan) usually stays the same, so each variation is a new surface on the same frame.

Variation techniqueWhat changes
Figural (ornamental)The melody is decorated with faster notes and embellishing tones; the harmony stays.
Textural / registralThe theme moves to another voice or register; the accompaniment changes.
Change of modeThe theme appears in the parallel minor (or major): a "minore" or "maggiore" variation.
CharacterTempo, meter, and style change (a march, a slow aria, a fugato).
HarmonicThe melody stays but is reharmonized (more common in Romantic and jazz variations).

Variation sets often build in rhythmic activity (quarters, then eighths, then triplets, then sixteenths), include one minor-mode variation and a slower, expressive variation near the end, and close with a faster final variation and a coda.

Sonata Form

Sonata form is the most important large form of the Classical era: the usual form of first movements of sonatas, symphonies, and string quartets. It's built on a large-scale tonal conflict: material is stated in two keys, then developed, then restated in one key.

PITRI → VMCSVEECKVDevelopmentunstableHC (V of I)PITRIMCSIESCKICodaIExpositionDevelopmentRecapitulation
Example 26.6. Sonata form in a major key. P = primary theme, TR = transition, S = secondary theme, K = closing material. In minor keys the exposition goes i → III (sometimes v).
  • Exposition (usually repeated). P establishes the tonic. The transition (TR) modulates and usually ends with an HC in the new key followed by a pause: the medial caesura (MC). S arrives in the new key and closes with the first strong PAC there, the essential expositional closure (EEC). Closing material (K) confirms the key.
  • Development. Material from the exposition is fragmented, sequenced, combined, and moved through several keys (often minor keys and the submediant). It ends with a retransition that prolongs V of the home key, building suspense for the return.
  • Recapitulation. P returns in the tonic (the double return of theme and key). The transition is rewritten so it does not modulate, and S returns in the tonic, resolving the tonal conflict. Its closing PAC is the essential structural closure (ESC).
  • Introduction (optional, often slow) and coda (optional, sometimes long enough to feel like a second development).

Popular music has its own standard forms. The same analytical habits apply: find the sections, their harmony, and what returns.

The 12-bar blues is a repeating harmonic pattern (a chorus). Lyrics typically follow an AAB pattern: a line, the same line again, and a rhyming answer.

1I7
2I7
3I7
4I7
5IV7
6IV7
7I7
8I7
9V7
10IV7
11I7
12I (V)7

All three chords are usually dominant sevenths (I7, IV7, V7), one of the blues' signature sounds. Common variants: the quick change (IV in bar 2) and a turnaround (V in bar 12, leading back to the top).

AABA (32-bar song form) was the standard of Tin Pan Alley and the Great American Songbook. Each section is eight bars. The bridge (B, also called the release or middle eight) contrasts with the A sections, often by moving to IV or another key, before a final A brings the tune home.

AIPACAIPACB (bridge)IV or other keyHC in IAIPAC
Example 26.7. AABA song form: 8 + 8 + 8 + 8 = 32 bars. In jazz, the whole 32-bar form is one chorus, repeated for solos.

Verse–chorus form dominates rock and pop since the 1960s. The verse keeps its music but changes its lyrics each time; the chorus keeps both music and lyrics (and usually the title). Other common sections: intro, pre-chorus (builds tension into the chorus), bridge (a one-time contrast, usually after the second chorus), and outro.

IntroVersePreChorusVersePreChorusBridgeChorusOutro
Example 26.8. A typical verse–chorus form.

Try It: Twelve-Bar Blues Player

Twelve-Bar Blues Player

Hear the twelve-bar blues and follow the chart. Try the common variants and different keys.

Summary

  • Binary: ‖: A :‖ ‖: B :‖. Sectional vs continuous (how part 1 ends); rounded vs simple (whether the opening returns).
  • Ternary: A B A, with closed A sections and a contrasting B. Minuet and trio is compound ternary: three rounded binaries, the last played da capo.
  • Rondo: a refrain in the home key alternating with episodes (ABACA, ABACABA, sonata-rondo).
  • Theme and variations: the same structure with a new surface each time.
  • Sonata form: exposition (P, TR, MC, S, EEC, K; I → V), development, recapitulation (S in I; ESC), optional coda.
  • Popular forms: the 12-bar blues, AABA (32-bar song form), and verse–chorus.

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