[Smt-talk] Geno- and phenotype musical structures
Victor grauer
victorag at verizon.net
Sat Jan 12 19:51:23 PST 2013
This sounds very interesting indeed. However I'm
wondering whether the author is familiar with
Chomsky's generative grammar, which seems based
on a very similar concept. Shaumnyan's genotype
reminds me of what Chomsky calls "deep structure."
Victor Grauer
Pittsburgh PA
USA
At 11:43 AM 1/12/2013, Serge Lacasse wrote:
>Content-type: text/html; charset=Windows-1252
>Content-language: fr-FR
>
>Hi all,
>
>I would like to have your opinion (that has most
>probably already been proposed) on a possible
>analogy. Reading Sebastian Sumjan's linguistic
>grammar theory (itself derived from Bateson's
>genetic model, see below), I was wondering if
>one could draw an analogy between his
>geno-/phenotype grammars and Set Theory. Could
>we, for example, consider sets as genotypes that
>may then give rise to different forms of
>realizations (phenotypes)? Conversely (and this
>commutative property of Sumjan's model is
>crucial), one can of course deduce genotypes
>from existing phenotypes. Just an idea, but
>again, not being a music theorist, I suspect
>many have already explored this avenue: you
>would be very kind to guide me towards relevant sources.
>
>Here is a quote from Sebastian Shaumyan
>[Sumjan], A Semiotic Theory of Language,
>Bloomington, Indiana University Press, 1987.
>
>"[97] We can think of the syntactic structure of
>a sentence as something independent of the way
>it is represented in terms of syntagmatic units.
>In this way we come up with two levels of
>grammar, which I call genotype grammar and
>phenotype grammar. Genotype grammar comprises
>functional unitspredicates, terms,
>modifiersand abstract operator-operand
>relations between these units. Phenotype grammar
>comprises syntagmatic unitsmorphemes and
>wordsand connections between them in terms of
>linear order and their morphological properties. [
]
>
>The rules of genotype grammar are invariant with
>respect to various possibilities of their
>realization by phenotype grammar. The terms
>genotype and phenotype are borrowed from
>biology, where genotype means a definite set of
>genes that is invariant with respect to its
>different manifestations called phenotype."
>
>Thanks for your help,
>s
>_____________________
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