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.

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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

I started with music in the 60s. I was part of several bands.
While my blood boiled to the rhythm of the best Rock & Roll, a tsunami called The Beatles came from Liverpool. That tide lasted twenty years during which the best musicians of the 20th century appeared.
I was there !!!
In the mid-seventies I completely abandoned music. I didn't play a single note for the next fifty years. And now, a little older, I play music in my studio again with more enthusiasm than ever. I think I never should have left it... It gives me life.....
Thank you all, friends, for taking part of your precious time to listen to my humble noises...

Programmer, musician, etc. Making tracker music with #renoise since 2013!

TRAMPELFÂD
Laboratory for Contemporary Electronic Experimental Music
 ( LCEEM ® )  founded    by Max Elzholz
https://www.youtube.com/@trampelfad

 
https://trampelfad.bandcamp.com

and

https://maxelzholz.bandcamp.com

guitarist, composer, recording in logic with roland guitar synth, stratocaster and tiny amps.
please visit kid otari soundcloud for more rock collaborations with guillaume: https://soundcloud.com/user-970486418/tracks

and NG-Xp cloud for experimental orchestral & soundscape collaborations of naldo & guillaume here: https://soundcloud.com/ng-xp/tracks
https://soundcloud.com/ng-xp/tracks

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)

I was born in Leicester in the late 1950's. Since semi-retirement and subsequent retirement (as a Dermatologist and formerly G.P) I have spent some of my spare time trying to learn music theory. I also enjoy long distance running as well as cycling, skiing and tennis. I enjoy cooking, gardening and growing a few vegetables. And fine wine (in moderation). I enjoy insect photography, with a particular interest in hoverflies..
To my regret I never learnt a musical instrument when younger but I have listened to and been fascinated by music for as long as I can remember. The advent of the computer age has allowed me to pursue my desire to compose music. I use Logic Pro X software (and MuseScore3 for recent piano compositions). My compositions reflect my varied listening preferences (including Contemporary Classical, Jazz and  Music from other cultures around the world).

Lost on paths of chord spaces

Ramon Capsada Blanch