160A: Formal Parameters and Functions

A musical work is a temporally unfolding process, a strategic ordering of events that, as a whole, creates something resembling a drama, a "scenario" of keys and themes. In analyzing and understanding musical form, we must be alert to, and comprehend the significance of, a variety of musical parameters at both the local and global organizational levels, and must recognize the interdependence of those levels, i.e. their reciprocal influences.

Musical events are composed of several basic elements that, in combination, are designed to fulfill certain musical "functions" in the drama. Before considering those functions, we will first briefly address individually a number of basic elements.[1]

Formal Parameters

Cadence
Cadences are local points of articulation where the music comes to rest, sometimes more conclusively, sometimes less, depending on the overarching musical flow. They are the markers that divide a piece into small and large-scale units. A fuller explanation of cadences is given elsewhere.

Tonality
Tonality is the network of relationships among pitches that results in one particular pitch emerging as a central reference (the key note). Compositions generally include several related keys which, taken together, sum to a single key, the tonality of the piece. The form of a composition is to a large extent defined by its key plan. A fuller explanation of keys and their significance for musical form is given elsewhere.

Tempo
Tempo is the speed of the basic pulse ("beat"), the basic unit of time in a work. Tempo may change during a piece, and may signal formal divisions.

Meter
Meter is the regular pattern of stressed and unstressed pulses. The meter may change during a piece and, as with tempo, may signal formal divisions.

Rhythm
Rhythm is the ever-changing subdivisions of the beat, or the grouping of several beats into a single, larger unit. Striking changes in rhythmic groupings may signal formal divisions.

Texture
We refer to texture when speaking of the rhythmic and melodic relationships among voices, for example monophonic, homophonic, heterophonic, polyphonic. Changes in texture may signal formal divisions.

Density
Density refers to the number of voices active in the texture. Changes in density may occur with or without changes in texture, and may signal formal divisions, either together with or apart from changes in texture.

Timbre
Timbre describes tone color. Different combinations of instruments produce different timbres, and a single instrument has varying timbres depending on register and playing technique. Timbral changes may help in defining formal divisions.

Register
Register refers to the pitch location (high, medium, low) in the range of an instrument (including voice). In connection with other of the basic parameters discussed here, register may help to define formal divisions.

Dynamics
Dynamics are the varying gradations of volume (loud, medium, soft) assigned to individual instruments or groups of instruments in a work. Changes in dynamics, especially abrupt changes, are often used to heighten the musical drama, and are often found, along with changes in other parameters, at formal divisions.

Motive
A motive is a small musical cell of distinctive melodic and rhythmic properties, a "motivating idea" out of which a piece grows. Motivic changes are signal form divisions. Motive is discussed elsewhere, in connection with phrase and period.


Formal Functions

The preceding basic elements are used in combination to create formal functions, phases of musical activity that fulfill specific roles in an unfolding musical "discourse." The following paragraphs address five functions:[2]

  • introductory
  • expository
  • transitional
  • developmental
  • terminative

Each can be thought of separately, as possessing certain distinct features, but with the understanding that functions can overlap and combine, e.g. the developmental function routinely includes transitions; terminative functions are generally expository (re-expository, recalling material presented earlier); an expository function usually finishes with a terminative section, even though it may not be definitively terminative, and so forth.

Introductory
Introductory sections initiate the action of a piece. They are preparatory in that they generally introduce, if only preliminarily and incompletely, the thematic material for the work. In that regard, they are anticipatory, foreshadowing what is to come. They tend to make frequent harmonic shifts, working their way toward a cadence on the dominant.

Expository
Expository sections are declarative. Thematically, expository sections tend to present the melodic material in full, and phrasing tends to be regular and predictable. Harmonically, expository sections tend to be stable compared to introductory, transitional, and developmental sections.

Transitional
Trasitions are modulatory and tend, therefore, to be harmonically unstable. Transitions lead into and out of other formal functions and are generally relatively short in duration, so that the harmonic instability is limited in scope. Phrasing less regular or irregular, and thematic material is presented fragmentarilyas the music works its way, orten, toward new thematic material and, usually, toward a new key.

Developmental
Like transitions, developmental sections are tonally unstable, but longer in duration. more varied and complex. Further, they are tonally digressive in that they generally modulate to and explore several keys. Thematically, they are exploratory as well, possibly reviewing previously stated themes, and typically reducing them to motivic components, somtimes combining, varying, and transforming the components to produce new thematic entities. Development occurs primarily in the development section of a work (as in a sonata or other, related formal type), but can occur anywhere.

Terminative
Terminative sections are summational, confirmational, and closural. Melodic and harmonic activity tends to be simplified compared to what preceded, and events are repeated for reinforcement and dramatic effect as a way of bringing a section or work to a stirring or poignant close.


1. Readers should refer to Peter Spencer and Peter M. Temko, A Practical Approach to the Study of Form in Music (Englewood Cliffs, New Jersey: Prentice-Hall, 1988), 1-27.
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2. A full discussion of each function appears in Wallace Berry, Form in Music, 2nd ed. (Englewood Cliffs, New Jersey: Prentice-Hall, 1986), 402-07, and in Spencer/Temko's book, cited in note 1 above, pp. 51-58.
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