Kein Folientitel

1
Guerino Mazzola U ETH Zürich Internet
Institute for Music Science guerino_at_mazzola.ch www
.encyclospace.org
2
Sonate für Klavier AutG(Messiaen III)\DIA(3)
(1981) Gruppen und Kategorien in der
Musik Heldermann, Berlin 1985 Construction on 58
pages 99 bars, 12/8 metrum, C-major
composition
Sonate pour piano LEssence du Bleu (Acanthus
2002) CD Patrizio Mazzola
3
Thesis The modulation structure of op. 106 is
governed by the inner symmetries of the
diminished seventh chord C -7 c, e, g,
bb in the role of the admitted modulation
forces.
op.106
Exposition
Development
Recapitulation
Coda
4
separation
AutŸ(C -7 )
5
Modulators in op. 106
modulators
Bb G G Eb D/b B Bb
Bb Gb G Bb Bb
e-3 Ug
Ud/d Ubb Ua/ab
e-3
6
Overall Scheme
scheme
AutŸ(C -7 ) ltUC ,e 3 gt
AutŸ(C ) ltUC ,e 4 gt
minor third 2nd Messiaen scale limited
transposition
major third 3nd Messiaen scale limited
transposition
7
Thesis The modulation structure of op. 3 is
governed by the inner symmetries of the
augmented triad chord C c, f, a
in the role of the admitted modulation
forces.
moduations
Exposition
Development
Recapitulation
Coda
8
Modulators in op. 3
modulators
C Bb Gb Gb Ab E E
A F F C
Uc e-4 Ua e-4
e-4

9
Motivic Zig-Zag in op.106
motivic principle
10
Motivic Zig-Zag Scheme
Model
minor third 2nd Messiaen scale limited
transposition
major third 3nd Messiaen scale limited
transposition
11
Motivic strip of Zig-Zag
möbius
12
Main Theme
main theme
13
Kernel of Development
kernel
14
Kernel Matrix
kernel
Dr
15
kernel
16
Kernel Modulation Ua Gb Ab
kernel moduation