When I knew that in this year 2022 the centenary of the birth of the composer Iannis Xenakis is being celebrated, I got the impulse of composing a piece inspired by his music. The result has been the composition that I present here.
In the following links you will find the PDF files with the theoretical introduction:

Explanation in English language:
https://drive.google.com/file/d/1EhCnCpk1_F1pWaDJq_ukEZ3L5T_6Wcsd/view?usp=sharing

Explicació en català:
https://drive.google.com/file/d/1xQVWTE6_MzS6bGkNNfhte2Jmh0TNL9E1/view?usp=sharing

Explicación en castellano:
https://drive.google.com/file/d/1PilJZMRNLupHWXM7ktz8nLPT0AASnyJr/view?usp=sharing

Hyperbolic Paraboloid and Xenakis

A piece of music is a mentally constructed entity, of which scores and performances are partial representations by which the piece is transmitted.
(Fred Lerdahl & Ray Jackendoff)

Any tone can succeed any other tone, any tone can sound simultaneously with any other tone or tones, and any group of tones can be followed by any other group of tones, just as any degree of tension  or nuance can occur in any medium under any kind of stress or duration. Successful projection will depend upon the contextual and formal conditions that prevail, and upon the skill and soul of the composer.
(Vincent Persichetti)

Music is a system of signs composed of complex forms which may be represented by physical sounds, and which in this way mediate between mental and psychic contents. To deal with such a system, semiotics are naturally evoked. To describe these forms, mathematics is the adequate language. To represent these forms on the physical level, physics are indispensable. And to understand the psychic contents, psychology is the predestined science.
(Guerino Mazzola)

Hyperbolic Paraboloid and Xenakis

Ramon Capsada Blanch