Theory 149 007 Lecture September 5th, 2025

Meter

  • Meter is the organization of pulses into a regular pattern of strong and weak beats that you hear (not just what’s written).
  • Time signature determines how music is notated, and how the heard meter relates to the written notation.
  • Meter comes from both grouping (how beats are grouped) and subdivision (how beats are subdivided).
  • Hypermeter: larger-scale sense of meter across phrases/measures; you can feel one or more metrical levels at once.
  • Key takeaway: there isn’t a single fixed strong-beat pattern in isolation; you perceive meter by how you group or subdivide a stream of pulses.

2+2+4,  4+4+8,  1+1+2,  8+8+162+2+4,\; 4+4+8,\; 1+1+2,\; 8+8+16

Form and Cadence (Sentence concept)

  • The sentence (a basic unit of form) consists of: Basic idea + Continuation + Cadence.
  • Typical sentence shape: 2+2+42+2+4 (two measures for the basic idea, two for continuation, four for the cadence area) or more generally a two-half structure with a cadence.
  • Cadence: a point of rest/resolution at the end of a unit; marks the end of a continuation.
  • Variation exists: not every piece follows a single rigid shape; other proportional forms (e.g., four-plus-four-plus-eight) express the same idea at different scales.
  • In analysis, think in terms of halves and continuations rather than a fixed template.

Motives and Form Diagrams

  • Use letters (A, B, etc.) to label repeating units or motives.
  • Prime (′) indicates an altered or slightly different form of a motive.
  • Multiple levels of motive: a small pattern may repeat within a larger pattern (e.g., A B A B vs A A B B).
  • There can be many valid form diagrams; the goal is to communicate the shape/structure clearly, not to find a single “correct” diagram.
  • Cadences can be added to indicate ends of phrases within the diagram.
  • A sentence typically contains a basic idea, a continuation, and ends with a cadence; larger form can show a first half/second half structure.

Figured Bass: Basics

  • Figured bass = bass note (base) + figures (intervals above the base) that guide the upper voices (realization).
  • Default triad without figures is the 5-3 triad (i.e., a root-position triad).
  • Realization = choosing the actual upper notes to fit the base and figures.
  • Chromaticism: accidentals apply to the figures; if a note is not in the key signature, the figure will indicate the alteration.
  • Lonley accidentals: an accidental by itself on a figure refers to altering the third above the base (e.g., a sharp on 3).
  • Slash through a number (e.g., 6 with a slash) signals alteration to that interval (e.g., raise 6).
  • A dash between numbers (e.g., 7–6) signals melodic movement within the upper voices (e.g., 7 resolving to 6 in the same voice).
  • 7–6 can indicate a suspension: the seventh voice-leading note resolves down to the sixth.
  • 6 by itself often stands for 6–3 unless context says otherwise; 6–4 has its own notational considerations and is not simply abbreviated as 4–3.
  • The long line under a figure sequence indicates the right-hand upper voices stay stationary while the bass moves (voice-leading simplification for readability).

Notation and Practical Rules for Realization

  • Full figuration (7–3–6–3, etc.) is always valid; when in doubt, use full figuration for clarity.
  • Realizations should aim for readable voice-leading: avoid overly tedious line-by-line figures when the upper voices can remain static while the bass moves.
  • If a note in the bass is chromaticly altered or if the figure changes, reflect those changes in the realized upper voices accordingly.
  • When you see a lonely accidental, apply it only to the specified interval (e.g., sharp on 3 means the 3rd above the base is sharpened).
  • The context (key signature, chromaticism) determines how the figures are realized; the figures themselves do not encode all chromatic changes.

Key Concepts and Terms

  • Cadence: harmonic/resting point that ends a phrase or section.
  • Continuation: the portion of the sentence that connects the basic idea to the cadence.
  • Basic idea: first segment of a sentence (the initial motive).
  • Realization: the upper-voice composition that actualizes the figured bass above the base.
  • Suspension: a voice-leading pattern where a note (e.g., 7) resolves down (e.g., to 6) while the bass holds or moves.
  • Lonley accidental: an accidental attached to a single interval above the bass (modifies only that interval).
  • Line/long line: a notation cue that upper voices remain static while the bass moves for readability.
  • Prime notation (′): marks an altered or related motive; used to indicate a variation of a motive without creating a new label.

Quick Reference Tips

  • If unsure, write the full figuration to communicate all tones and voices; readability over brevity.
  • Use repeat signs in form diagrams to show large-scale repetition.
  • Treat 6 as shorthand for 6–3; treat 6–4 with explicit context (often not abbreviated as 4–3).
  • Use dash 7–6 to indicate a suspension/resolution in one voice.
  • Chromatic alterations on figures are written as alterations on the corresponding interval (e.g., sharp 3, sharp 4, etc.).