Klavierstucke de Karlheinz Stockhausen. Análisis de altura en las piezas N° 3 y N° 4

Abstract

In this article we show a brief analysis of the high of the pieces for piano number 3 and 4 by Karlekeinz Stockhausen. This analysis is based on the teory of the Pitch Class Sets by Allen Forte. The first piece, the number 3, shows a free structure of the pitch, similar to the atonalism. It comes fron the group of four notes, distanced by semitones, then contracts with a new group that include a minor 3. Later on these groups are expanded in the quantities of elements finding groups of five, ten and twelve notes. Regarding piece number 4, this is organized in hexachordals segments of the same i nterval. These hexaehordals are part of the decafonics series, series that have not any intervalic relations among them, but keep a same constructive criteria.