The composition process of the acousmatic piece Gazelle Rain Petals began with the construction of the elemental pitch and rhythmic modules – the organogeometric brick modules, as a musical metaphor to Dubuffet’s lithographic series Les Murs. These brick modules are 4-pitch series (tetrachords) that cover all possible pitch permutations to represent 4-sided geometric as well as organo-geometric...

one of the fields of creation and practice expansion is an attempt to diversify and multiply melodic modules which can increase practical potentials in a musical system. the most fundamental element of a sonic- musical atmosphere (mode) is ambits of tone; in other words, it is a sequence of tones with specific frequency. therefore, melodic modules combination depends on acoustical features and ...

ambits of tones (as one of the most important elements of mode structure) in old iranian music have multiple kinds and definitions. middle eastern musicologists have always tried to explain and devise tones ambits, because ambits of tones and structure of mode are irrefrangible. generally purpose of division of ambits to their components is explanation of melodic modules and their combination. ...

Music is hierarchically structured in numerous ways, and all of these forms of organization share essential mathematical features. A geometrical construct called the Stasheff polytope or associahedron summarizes these similarities. The Stasheff polytope has a robust mathematical literature behind it demonstrating its wealth of mathematical structure. By recognizing hierarchies that arise in mus...