The rhythmic aspect of this composition is based on Euclidean rhythms (a salutation to the Greek mathematician Euclid!).
In 2005 Goldfried Toussaint published the article "The Euclidean algorithm generates traditional musical rhythms" (http://cgm.cs.mcgill.ca/~godfried/publications/banff.pdf). In this article he defines and explains the concept of Euclidean rhythm . These rhythms are so called because they can be obtained using the famous Euclid algorithm that allows us to obtain the greatest common divisor of two numbers. Using this algorithm, rhythms are achieved in which the accented beats of the measure are evenly distributed among the non-accented beats and the uniformity that is achieved is the maximum possible. The interest is that many of the prominent rhythms of world traditional music have this Euclidean rhythm arrangement.
Specifically, in this piece I have used four Euclidean rhythms, corresponding to the following popular music: "Cumbia Colombiana", "Tresillo Cubano", "Cinquillo Cubano", a bell rhythm from West Africa.
With a pair of numbers, the first indicating the number of downbeats and the second the total number of beats in the measure and using the sign   x   to represent the accented beats and the sign   .   for the weak, the cited rhythms can be represented like this:
 
"Cumbia Colombiana" :   E(3,4) = [x. x x]
"Tresillo Cubano ":    E(3,8) =  [x. . x. . x.]
"Cinquillo Cubano ":    E(5,8) = [x. x x. x x.]
West African bell rhythm:   E(7,12) =  [x. x x. x. x x. x.]

The intention has been to obtain a festive music for a certain celebration.

To contrast with such joy and to give a little more variety, in the harmony I have used more ambiguous and somber elements such as the fourth chords and also the four musical modes that I have used: Dorian, Aeolian, Phrygian and Locrian.

In the symphonic instrumentation, it is worth highlighting the inclusion of four saxophones, two sopranos and two tenors and also the absence of percussion instruments with the intention of achieving strong rhythmic sensations implicitly only with melodic instruments.

Euclidean rhythms for a celebration

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)

Euclidean rhythms for a celebration

Ramon Capsada Blanch