[Smt-talk] Classical Form and Recursion
Murphy, Scott Brandon
smurphy at ku.edu
Wed Mar 25 09:09:25 PDT 2009
Rick Cohn does this sort of thing in ³Dramatization...² 19thCM 15/3 (1992).
Scott
--
Scott Murphy
Associate Professor, Music Theory
University of Kansas
smurphy at ku.edu
on 3/25/09 9:20 AM, Dmitri Tymoczko at dmitri at Princeton.EDU wrote:
>
> It is typically possible to interpret a sequence of symbols recursively. For
> instance, we could take the sequence
>
> ABABABABAB...
>
> And group it as follows:
>
> (ABA)(BAB)(ABA)(BAB) ...
>
> Then, by asserting that (ABA) "stands for" (or "represents" or "prolongs") A,
> while (BAB) "represents" B, we could come up with a "higher level" version of
> the same pattern
>
> ABABABAB ...
>
> (Here each symbol stands for 3 symbols in our original.) We might take this
> to demonstrate that there is recursive structure in our sequence. It is even
> possible that this sort of procedure could represent a psychologically
> accurate description of the way some particular person perceives or organizes
> the sequence.
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