Guerino Mazzola (Spring 2016 © ): Performance Theory IV RUBATO IV.1 (Fr Mar 11) Stemma Theory and Shaping Operators

Guerino Mazzola (Spring 2016 © ): Performance Theory source fundament In order to model piano performance, we work with In order to model piano performance, we work with the base parameters E, H, L, corresponding fields T(E), S(H), I(L), and the duration parameter D (pianola) A cellular hierarchy is a diagram of performance cells s. t. there exists exactly one cell source there exists exactly one cell source the sets of parameters of the cell diagram are closed under union and non-empty intersection the sets of parameters of the cell diagram are closed under union and non-empty intersectionT S I I×SI×SI×SI×S T × I T × S  T × S  T × I T × I × S T×I×ST×I×ST×I×ST×I×S TTTT

Guerino Mazzola (Spring 2016 © ): Performance Theory         bar 1bar 2bar 3bar 4

Guerino Mazzola (Spring 2016 © ): Performance Theory chord tempo before refinement of time granularity rubato for melody line tempo for left hand (chords) melody line

Guerino Mazzola (Spring 2016 © ): Performance Theory presto ® mamma curva 1 curva 2 curvetta 4curvetta 3

Guerino Mazzola (Spring 2016 © ): Performance Theory Chopin: Impromptu op. 29 tr

Guerino Mazzola (Spring 2016 © ): Performance Theory T TTTT TTTT Z(  T,  )  stemmastemma mother daughter granddaughter

Guerino Mazzola (Spring 2016 © ): Performance Theory melodic weight deadpan tempo tempo articulation tempo articulation dynamics

Guerino Mazzola (Spring 2016 © ): Performance Theory

T TTTT TTTT Z(  T,  )  stemmastemma mother daughter granddaughter fathers?

Guerino Mazzola (Spring 2016 © ): Performance Theory w(E,H,…) H E Emotions, Gestures, Analyses Major problem: Describe typology of „fathers“ = operators! ???? ???? ??!! Adorno‘s program („Der getreue Korrepetitor“): What cannot, at least in models, descend to the single note and pause, is unreliable as an instruction for performance. Adorno‘s program („Der getreue Korrepetitor“): What cannot, at least in models, descend to the single note and pause, is unreliable as an instruction for performance.

Guerino Mazzola (Spring 2016 © ): Performance Theory  symbolicphysical Typology of (analytical) operators symbolic vectorial physical split prima vista

Guerino Mazzola (Spring 2016 © ): Performance Theory symbolic Schumann, Dream: Melodic weights  symbolic pitches symbolic Bach, Art of Fugue, CP III: Metrical weights  symbolic pitch of composition whose pitches have been made equal before.

Guerino Mazzola (Spring 2016 © ): Performance Theory tempo operator T(E)w(E)T w (E) = w(E).T(E)

Guerino Mazzola (Spring 2016 © ): Performance Theory RUBATO ® PerformanceRubette Melodic and metrical weights operate on tempo, articulation, and dynamics Joachim Stange-Elbe (1999)

Guerino Mazzola (Spring 2016 © ): Performance Theory