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+16
- The sentence (a basic unit of form) consists of: Basic idea + Continuation + Cadence.
- Typical sentence shape: 2+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.
- 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 = 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.).