PRPR 1 (Time-Span Importance)
In choosing the prolongationally most important event
ek of a prolongational region (ei-ej), strongly prefer a
choice in which ek is relatively time-span-important.
PRPR 2 (Time-Span Segmentation)
Let ek the prolongationally most important event in a
prolongational region (ei-ej). If there is a time-span
that contains ei and ek but not ej, prefer a prolonga-
tional reduction in which ek is an elaboration of ej;
similarly with the roles of ei and ej reversed.
PRPR 3 (Prolongational Connection)
In choosing the prolongationally most important event
in a prolongational region (ei-ej), prefer an ek that
attaches so as to form a maximally stable prolon-
gational connection with one of the endpoints of the
region.
Stability Conditions for Prolongational Connection
1. (Branching condition)
a. Right strong prolongations are more stable
than right weak prolongations, which in turn are
more stable than right progressions.
b. Left progressions are more stable than left
weak prolongations, which in turn are more
stable than left strong prolongations.
2. (Pitch-collection condition) *
A connection between two events is more stable if
they involve or imply a common diatonic collection.
3. (Melodic condition)
a. (Distance) A connection between two events is
melodically more stable if the interval between
them is smaller (with the exception of the oc-
tave, which is relatively stable).
b. (Direction) An ascending melodic progression
is most stable as a right-branching structure; a
descending one is most stable as a left-bran-
ching structure.
4. (Harmonic condition) *
a. (Distance) A connection between two events is
harmonically more stable if their roots are
closer on the circle of fifths.
b. (Direction) A progression that ascends along
the circle of fifths is most stable as a right-
branching structure; one that descends along
the circle of fifths or produces a subdominant-
to-dominant-relationship is most stable as a
left-branching structure.
Interaction Principle
In order to make a sufficiently stable prolongational
connection, ek must be chosen from the events in the
two most important levels of time span reduction
represented in (ei-ej). |