Mathematical Theory Of Music

Score of Rolf Wallin's Stonewave for solo Percussion. Composer's Notes:The last few years I have become increasingly involved in some peculiar mathematical formulas called 'fractals'. These formulas used inthe fast growing field of 'Chaos theory' are relatively simple but they generate fascinating and surprisingly 'organic' patterns when shown graphically on a computer screen or played as music. One should think that such amathematical approach would lead to sterile and 'theoretical' music. The sound world of 'Stonewave' however is not one you would associate with math books. The steady insistent pulse and the use of sequences put squarely upagainst each other or divided by long rests suggest an invisible ritual. A ritual for what? Well then let it be a ritual for the exorcism of some 'evil spirits' which now ride our part of the world under the name ofLiberalism making people the servants of the Market Forces instead of vice versa.'Stonewave' is therefore an incantation as it seems that only divine forces can save European culture from a political system that proclaimsthe Jungle Law as the guiding principle in social and cultural life. Rolf Wallin

Ode à la Musique (1961)for Baritone 4-part mixed chorus trumpet two horns three trombones piano and double bass Frank Martin (1890-1974) Frank Martin was born in Geneva Switzerland on 15 September 1890. He was the tenth and youngest child of a clergyman’s family. He played and improvised on the piano even before he went to school. By the age of nine he had composed charming children’s songs that were perfectly balanced without ever having been taught musical forms or harmony. A performance of Bach’s St. Matthew Passion heard at the age of twelve left a lasting impression on the composer for whom J.S. Bachremained the true master. He attended classical languages high school and to please his parents went on to study mathematics and physics at the University of Geneva for two years. Simultaneously he started studying piano and composition with Joseph Lauber who initiated him in the “craft” especially in instrumentation. Between 1918 and 1926 Frank Martin lived in Zurich Rome and Paris working on his own searching for a personal musical language. In 1926 he founded the “Société de Musique de Chambre de Genève” which he led as pianist and harpsichord player for ten years. He taught improvisation and theory of rhythm at the “Institut Jacques-Dalcroze” and chamber music at the Geneva Conservatory of Music. He was artistic director of the “Technicum Moderne de Musique” from 1933 to 1940 and president of the Swiss Association of Musicians between 1942 and 1946. In 1932 he became interested in the 12-tone technique of Arnold Schönberg. He incorporated certain elements into his own musical language creating a synthesis of the chromatic and twelve-tone techniques without however abandoning the sense of tone – that is the hierarchical relations between notes. Le Vin Herbé (1941) was the first important work in which he completely mastered this very personal idiom. Together with the Petite Symphonie Concertante (1944-45) it established his international reputation. Martin’s many musical activities in Switzerland interfered with the peace and