Arrangementsektoren

Arrangementsektoren, also known as arrangement sectors, are a concept in the field of music theory and composition, particularly in the context of serialism and twelve-tone technique. They were developed by Arnold Schoenberg and further explored by his students and followers. The term "arrangement sector" refers to a specific way of organizing and manipulating a series of musical pitches or other musical elements.

In a twelve-tone technique, a composer creates a series of twelve unique pitches, which can then be arranged in various ways to create different musical structures. Arrangement sectors provide a systematic approach to generating these arrangements. Each sector is defined by a specific set of rules or transformations that can be applied to the original series to produce new arrangements.

There are several types of arrangement sectors, including the prime form sector, the inversion sector, and the retrograde sector. Each of these sectors has its own set of rules for generating new arrangements from the original series. For example, the prime form sector generates arrangements by rotating the series, while the inversion sector generates arrangements by inverting the series around a central pitch.

Arrangement sectors are a powerful tool for composers working within the serialist tradition, as they provide a structured and systematic way of generating new musical materials from a single source. By exploring the different arrangement sectors, composers can create a wide range of musical textures and structures, while maintaining a sense of coherence and unity throughout their compositions.