158, 127. All of these ratios are derived from the 5:4 major third, and the resulting timbral combinations resemble the pleasant chiming of a crystal goblet or the combination of vibraphone and glockenspiel – sounds which Stockhausen had previously employed in 1952 in his orchestral compositions Spiel and Formel, respectively. Studie I is composed with "groups". Like the table of pitches, these groups are also constructed from sets of six numbers so that, for example, the first six "vertical" groups of the composition contain 4, 5, 3, 6, 2, and 1 notes each. Stockhausen calls these note groups "note mixtures", and extrapolates the same grouping principle to the formal structure of the entire work: successive note mixtures form horizontal sequences, groups of these sequences form "structures", and these structures are organized into one large "group series" that produces a unifying proportion series for the entire work. In order to increase the contrast between the note groups, a set of six envelope curves was added: steady amplitude, increasing amplitude to a sudden cut-off at the specified maximum, and a gradual decrease from the specified maximum; each of these occurs with and without reverberation to produce six forms in all. Discography Karlheinz Stockhausen. Studie I, Studie II, Gesang der Jünglinge I. Ten-inch mono LP recording. Deutsche Grammophon DGG 16133. [Hamburg]: Deutsche Grammophon Gesellschaft, 1959. Also released as DG LPE 17 243 (UK 10 inch mono LP). LG 1055 (Japan 10 inch mono LP). Karlheinz Stockhausen. Elektronische Musik 1952–1960 (Konkrete Etude, Studie I, Studie II, Gesang der Jünglinge, Kontakte—version for electronic sounds only). CD recording. Stockhausen Complete Edition CD 3. Kürten: Stockhausen-Verlag, 1991. References Sources Further reading Assis, Gustavo Oliveira Alfaix. 2011. Em busca do som: A música de Karlheinz Stockhausen nos anos 1950. São Paulo: Editora UNESP. . Blumröder, Christoph von. 1993. Die Grundlegung der Musik Karlheinz Stockhausens. Supplement to the Archiv für Musikwissenschaft 32, ed. Hans Heinrich Eggebrecht. Stuttgart: Franz Steiner Verlag. Burow, Winfried. 1973. Stockhausens Studie II. Schriftenreihe zur Musikpädagogik 7. Frankfurt (am Main): Diesterweg. Frisius, Rudolf. 1999. "Elektronische Musik—Elektronik pur?". Rudolf Frisius webpage (Accessed 22 June 2011). Heikinheimo, Seppo. 1972. The Electronic Music of Karlheinz Stockhausen: Studies on the Esthetical and Formal Problems of Its First Phase, translated by Brad Absetz. Acta Musicologica Fennica 6 (ISSN 0587-2448). Helsinki Suomen Musiikkitieteelinen Seura / Musikvetenskapliga Sällskapet. (Originally a thesis, Helsinki University.) Hilberg, Frank, and Harry Vogt (eds.). 2002. Musik der Zeit,