Examples
Formal prototypes
Sentence
A prototypical sentence consists of a presentation phrase (pres
) and a continuation phrase (cont
). The typical presentation phrase consists of a basic idea (bi
) and its repetition (bi!
). The typical continuation phrase consists of a fragmentation (frag
) and a cadential unit (cad
).
A typical variant of the presentation is a cbi (compound basic idea) consisting of two different basic ideas (bi
and ci
). In contrast to an antecedent (which also consists of two different ideas), a cbi does end on a cadence.
Continuation phrases come with a lot of variety. For instance, a continuation could morph the fragmentation into a cadential phrase (frag > cad
) or skip fragmentation altogether. Alternatively, a continuation could be expanded by replacing the fragmentation with yet another idea, which we would label as conti
(continuation idea) and which could itself be repeated (conti!
) before the cadential unit. The full richness of possible continuations is one of our exploratory project goals.
Examples of annotated pieces
F. Chopin - Mazurka in A-flat major, op. 24, no. 3
- TiLiA file: chopin_24-3_example.tla
- Recording in the same folder (by Edward Neeman, downloaded from IMSLP)
J.S. Bach – Sarabande from BWV 1007
- TiLiA file: TiLiA/BWV1007_04_Sarabande.tla
This example presents two different analytical interpretations of this Suite movement’s first section. Whereas the second one, labeled as “Alternative”, uses our standard vocabulary, the first one is an experimental attempt to using the term Fortspinnungstypus
, a staple in German-speaking Baroque theory. Here, the traditional three-part structure (Initiale, Fortspinnung, Kadenz; i.e. “beginning”, “continuation”, “cadential”) has been hierarchised into a pres
+ cont
where the middle of the whole (Fortspinnung) is the beginning of the continuation and the cad
is the ending of both the cont
and the whole. This conceptualisation makes this type recognizable as a subtype of sent
.
Whereas this perspective groups the first part as [8 2 [6 2 [4 2 2] ] ]
, the second describes a symmetric [8 [4 2 2] [4 2 2] ]
grouping (in this notation, each [
marks the parent node of a sub-branch, followed by its children and ]
). Verbally, the first view sets the initial of the piece as apart and accounts for its being a relatively self-contained, chiastic open-close
(or departure-arrival
) motion which can stand for itself, like a motto. The second interpretation highlights the expositional character of the first four bars by grouping them under an overarching pres
phrase. Contrary to the first view, the second compound basic idea is marked as a variation of the first one (cbi'
) because of a vague sense of return of the chiasmus. The first interpretation does not include the '
in the interest of reinforcing the sense of separation between measure 2 and 3.
On a minor note, the cad
has been split on the lowest level to indicate the rhythmic-harmonic acceleration towards the cadence but no labels have been applied.
F. Schubert - German Dance in D major, D. 790, no. 3
- TiLiA file: TiLiA/D790ländler03.tla
This piece exhibits a number of typical features of a dance movement: Its 16 bars display a clear binary structure, with equal subdivision into two groups. Each of these 8-bar groups can be further subdivided into groups of 4 bars, which can themselves be segmented into 2-bar units, or even 1-bar units with unique musical material.
The first half stays in the home key throughout and conforms to the theme type of a “period,” with a 4-bar antecedent and a 4-bar consequent. The consequent starts out as a (motivic) repetition of the antecedent, just to end on a stronger cadence (a PAC rather than an IAC). The second half is launched with a sequential progression (6/5 -> 4/2; bb. 9-12), using a 2-bar “model” consisting of a variant of the movement’s second bar prefaced by a newly composed bar. One particular challenge is the most fitting encoding of bar 13, which fulfils a double function: it acts both as the ending of the sequential pattern and the initial event of the subsequent cadential progression.
Each segment expresses its temporal (or functional) suitability within the overarching formal plan through its intrinsic characteristics. Interestingly, each of the two 8-bar halves begins in itself as if being “in the middle” of something. At the very beginning, the piece opens up on an off-tonic harmony, withholding the tonic and key of D major at first, thus imparting a sense of “beginning in the middle.”
The repetition structure of musical material in this movement is interesting, too: it may be described in terms of (in)exact as well as proximate or distant relations between the material of segments. Note, for instance, that bb. 1–2 and bb. 5–6 establish exact repetition, bb. 9–10 and bb. 11–12 exhibit inexact (sequential) proximate repetition, whereas the final four bars of the Schubert dance constitute a distant repetition of the opening bars, but the way this return is realized cannot readily be labelled as a repetition, as it is only loosely based on bb. 1–4 and b. 9. The latter repetition constitutes the (loose!) end rhyme of the dance’s bipartite design. Hence the overall formal design can be characterized as a “simple binary” of the balanced (sub)type.
Note that throughout this dance movement, Schubert plays a sophisticated game on motivic allusion and ambiguous grouping.