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determines an augmented time-span T'B, which is the
interval from G to the end of the regular time-span
TB.
TSRWFR 1
For every time-span T there is an event e (or a
sequence of events e1e2) that is the head of T.
TSRWFR 2
If T does not contain any other time-span (that is, that
T is at the smallest level of time-spans), then e is
whatever event occurs in T.
TSRWFR 3
If T contains other time-spans, let T1,...,Tn be the
(regular or augmented) time-spans immediately
contained in T and let e1,...,en be their respective
heads. Then:
a. (Ordinary Reduction) The head of T may be one
of the events e1,...,en.
b. (Fusion) If e1,...,en are not seperated by a group
boundary ("locality" condition), the head of T may
be the superimposition of two or more of e1,...,en. c. (Transformation)
If e1,...,en are not seperated by
a group boundary, the head of T may be some
mutually consonant combination of pitches
chosen out of e1,...en. *
d. (Cadential Retention) The head of T may be a
cadence whose final is en (the head of Tn - the
last time-span immediately contained in T) and
whose penult, if there is one, is the head of a
time-span immediately preceding Tn, though not
necessarily at the same level. *
TSRWFR 4
If a two-element cadence is directly subordinate to a
head e of a time-span T, the final is directly subordi-
nate to e and the penult is directly subordinate to the
final.
TSRPR 1 (Metrical Position)
Of the possible choices for head of a time-span T,
prefer a choice that is in a relatively strong metrical
position.
TSRPR 2 (Local Harmony)
Or the possible chices for head of a time-span T,
prefer a choice that is
a. relatively intrinsically consonant,
b. relatively closely related to the local tonic.
TSRPR 3 (Registral Extremes)
Or the possible choices for head of a time-span T,
weakly prefer a choice that has
a. a higher melodic pitch
b. a lower bass pitch
TSRPR 4 (Parallelism)
If two or more time-spans can be construed as
motivically and/or rhythmically parallel, preferably
assign them parallel heads. |