EUCLIDEAN
HYPERBOLIC
| discrete groups | wallpaper groups | |
| ETUDES | ||
| Attraverso: SL(2,C) | ||
| continuous groups | Lie groups | |
| SO(3) ETUDES |
2024-2026 Attraverso: SL(2,C)
Program Note
Cryptic spaces, metamorphosis, relations.An exploration of mathematical structures that morph into each other, the piece presents itself as a journey through (‘attraverso”) spaces that we can only try to imagine, of spaces that transcend our limited perception. The listener moves within the structures as on a strange voyage, experiencing them through music. The constant metamorphic process through mathematical spaces focuses on the essence of a central object, the mathematical Lie group SL(2,C). The work follows a structuralist approach, describing SL(2,C) by investigating the webs of relations between other objects it hosts, and others it is connected to, in a labyrinth of contrasting sensations.
for 2 altos, countertenor, grand-piano, upright-piano, viola, 2 cellos, percussion and electronics [35′]
written for Nieuw Amsterdams Peil; premiered at Muziekgebouw aan ‘t IJ (Amsterdam, NL) on 26 April 2026.
2021-2023 SO(3) ETUDES
Program Note
The etudes focus on the Lie group SO(3), its Lie algebra and exponential map.
for piano and electronics [14′]
premiered at Splendor Amsterdam, (Amsterdam,NL) on 25 March 2023
2021-2022 ETUDE NO. 4
Program Note
The work consists in the musical representation of the wallpaper group pg.
ETUDE NO.4 is part of the opus ETUDES, started in 2020, which is one of a series of works that I created following my compositional methodology bridging mathematics and music through sensations and metaphors.
For soprano saxophone, bass saxophone, tenor trombone, piano, electric guitar and electronics. [8′]
written for Ensemble Klang; recorded on 14 January 2022 at Korzo Theatre (The Hague, NL)
2020-2021 ETUDE NO. 1
Program Note
The work consists in the musical representation of the wallpaper group p1.
ETUDE NO.1 is part of the opus ETUDES, started in 2020, which is one of a series of works that I created following my compositional methodology bridging mathematics and music through sensations and metaphors.
For 8 guitars. [6′ 30″]
premiered online on 28 May 2021 as part of the SPRING festival 2021 at the Royal Conservatoire The Hague (The Hague, NL).
2026-2028
The completion of the 7 Salvami etudes from the opus ETUDES (2020-).
If you would like to contribute to the creation of this project, you can donate to IBAN: IT97G0366901600113419520263 or via https://paypal.me/petracini
Would like to know more about the process? Write to me at email@petracini.com
Etude No. 7 for Disklavier, double bass, cello and electronics
commissioned by Conlon Collective and Ensemble Modelo; to be premiered on 4 May 2027 at Muziekgebouw (Amsterdam, NL)