Toward a Theory of Formal Musical Languages
نویسندگان
چکیده
T~ idea thai a!E~braic operations are invoh-cd in mu.sical combinatoric! is generally accepted. \1 "hik morry imtrtsl ing compllfer progrCU11J has bUll devclO1,cd lardy in the fields of corr.pura aided campoli/ion. mu..tical anaiysil , musical ptdagogy, or score procusing .hut l.f no gentral ma/hemal/cal model able 10 deal wilh the cornpltx interaerion be ...... e'en lire verticol and the h ori~ontar C.SPUfS of Ihe musical syntax. In this paper we m<' p roposing atl exlt'lfirUl of lht. traditional theory of/orma/languages by using uqlur;ces in which Ihe usuallcuers are rep/aad by sets 0/ musical eN~ III s. Besides the COncatenation, twO new operations are introduced: the superimposilion and tile illierimposilion_ Tile reSlliling "Ill/llemalieaf HrlJ.Cmre is Ihen studied. All :he advances in the domo.ins a/finite outamO/{l. gctU:r(ltivc grammars and OIhcr complIl<Jlional nrndefs may Ix applied in a natura! and cansi.ftcm manner ond new solutions 10 !he problems thm appear in lhe prc" jous/y mentioned fields could be «ploted.
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