Enchanting work! - lovely sense of freedom and wonder - the photo seems a most appropriate accompaniment - thank you Ramon!

Una preciosidad de trabajo, bonitas melodías dentro de una armonía sofisticada y muy agradable de escuchar

Great composition & awesome journey ! very original ❤

Arnold Schoenberg would be proud of his legacy

Great to listen again today to the ‘4 Tonnetz’ album - splendid works Ramon! - thank you!

With respect to form, this piece follows the line of work started in my previous work "Parsimonious Chords", which was based on the "Tonnetz" graph formed by the notes of the major and minor triads. The current work is based on the "generalized Tonnetz" that includes the previous Tonnetz but also other similar graphs defined in spaces formed by chords of any number of notes. This concept is precisely defined by Dmitri Tymoczko in his excellent article "The Generalized Tonnetz" (https://dmitri.mycpanel.princeton.edu/tonnetzes.pdf). In my specific case I have worked with four Tonnetz: those formed by chords of two, three, four and six notes. In each of them I have used Hamiltonian paths (those that visit all the chords of the graph only once) to define the harmony and the conduction of voices.

With respect to the expressive character, this work is influenced by the harshness of the health crisis that the world is experiencing and also by the atmosphere of the Christmas dates in which it was written.

-----------------------------------------------------------------------------------------

Perdidos por caminos de espacios de acordes

En cuanto a la forma, esta pieza sigue la línea de trabajo iniciada en mi anterior obra "Parsomonious Chords", que estaba basada en el grafo "Tonnetz" formado por las notas de las tríadas mayores y menores. La obra actual está basada en el "Tonnetz generalizado" que incluye al anterior Tonnetz pero también otros grafos similares  definidos en espacios formados por acordes de un número cualquiera de notas. Este concepto lo define con precisión Dmitri Tymoczko en su excelente artículo "The Generalized Tonnetz" (https://dmitri.mycpanel.princeton.edu/tonnetzes.pdf). En mi caso concreto he trabajado con cuatro Tonnetz: los formados por acordes de dos, tres, cuatro y seis notas. En cada uno de ellos he utilizado caminos hamiltonianos (aquellos que visita todos los acordes del grafo una sola vez) para definir la harmonía y la conducción de voces. 

En cuanto al carácter expresivo, esta obra está influenciada por la dureza de la crisis sanitaria que el mundo está viviendo i también por el ambiente de las fechas navideñas en la que ha sido escrita.

Lost on paths of chord spaces

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)

Comments

Joseph Haspel

Syrel

Alfred de Raza

Ramon Capsada Blanch

MORS VIVERE

Rafael Serrano - Composer

JFalls

Dominique Le Bars

K Prytz NP (Composer)

Joseph Haspel