Invention: Overall Form

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Although there is no standard form in Bach's Inventions, there are a few typical formal types, based on the number of sections devoted to presenting the motive:

  • two-part form with recall (quasi-recapitulation)
      numbers 5, 9, 10, 13
  • two-part form without recall
      number 8
  • three-part, recapitulatory form
      numbers 1, 3, 4, 6, 14

A codetta often concludes the piece.

We will call the sections devoted to the motive (where the motive reappears) presentations. The presentations are generally linked together with modulatory sections, which we will call episodes. The presentations vary and transform the motive. Episodes, which are melodically derived from the motive, are modulatory; they lead from key to key and result in an overall tonal design.

Examples

Two-part form with recall: Inventio 5
Measure 1 presents the basic motive in the right hand; the left hand counterpoints it (as a "contrapuntal associate"). Measure 2 re-presents the motive and the piece then continues with new material leading to a left-hand, dominant-key presentation of the motive and contrapuntal associate. The exposition ends on the downbeat of m. 9, and a modulatory episode begins there and runs through the downbeat of m. 12. The exposition together with the episode constitute section 1. Section 2, a new presentation of the motive, begins in m. 12 and runs through the downbeat of m. 20, where another modulatory episode begins, and continues through the downbeat of m. 27. The recall starts in m. 27 (recalling the opening of the piece) and leads to a short codetta (mm. 30-32).

  • Section 1: mm. 1-12 (exposition, mm. 1-9; episode, mm. 9-12)
  • Section 2: mm. 12-21 (presentation, mm. 12-20; episode, mm. 20-27
  • Recall: mm. 27-32 (recall, mm. 27-30, codetta, mm. 30-32)

Two-part form without recall: Inventio 8
Measures 1-2 present the motive in the right hand, which is imitated canonically in the left in mm. 2-3. The exposition ends on the downbeat of m. 4, and there begins the post-expostion, modulatory episode, which ends on the downbeat of m. 12 (= section 1). A dominant-key presentation begins in m. 12 and continues up through the downbeat of m. 19, where another modulatory episode begins. It lasts up through the downbeat of m. 26. The remainder is a codetta.

  • Section 1: mm. 1-12 (exposition, mm. 1-4; episode, mm. 4-12)
  • Section 2: mm. 12-26 (presentation, mm. 12-19; episode, mm. 19-26)
  • Codetta: mm. 26-34

Three-part (recapitulatory) form: Inventio 3
The motive occupies mm. 1-2, and is imitated in mm. 3-4; the subsequent measures, up through m. 12 (end of section 1), are its modulatory aftermath (Fortspinnung, "spinning-out"). A dominant-key presentation begins in m. 12, and initiates a modulation (to B minor). Measures 18ff establish and reinforce the key. A B-minor presentation begins in m. 24, overlapping with the close of the preceding presentation. This new (B-minor) presentation and its modulatory Fortspinnung continues up through the downbeat of m. 42, a half cadence in D major, the "home" key. The final section, a recapitulation, begins in m. 42, and leads to an deceptive cadence in m. 54 (an aborted perfect authentic cadence). The remainder is a codetta.

  • Section 1: mm. 1-12 (exposition, mm. 1-5; episode, mm. 5-12)
  • Section 2: mm. 12-42 (presentations in A:, mm. 12ff, and b:, mm. 24ff, both modulatory)
  • Section 3 (recap.): mm. 42-59 (mm. 42-54, ending with a deceptive cadence; codetta, mm. 54-59)

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