Works

Instrumentation (detailed)

Soloists

Horn

Performer(s)

Integrais (Integrals) is a cycle of pieces for solo instruments, exploring the possibilities of combinations and permutations, that can be achieved using two different intervals. The title itself derives from the mathematical process, that refers to the possibility of analysing an integral function, through its derivative. Therefore, the structure and coherence of these pieces is ‘discovered’ in the compositional process, through the analysis of all possible relations existing between the two generating intervals. Integrais I for violin solo, uses as generating intervals the minor second and augmented fourth. Integrais II for clarinet solo, uses as generating intervals the major second and perfect fourth. Integrais III for horn solo, uses as generating intervals the minor third and major third. Integrais IV for saxophone solo, uses as generating intervals the minor second and perfect fourth.

Work	Type	Date	Organization/Event	Venue	Town	Country	Performers	Notes	Inv Row
Integrais III	Premiere	1987/Jan/01		Stony Brook University	New York	United States of America	Paul Basler (trumpet)	Notes

Documents
	Type (+ sub-type)	Cover/edition title Document title	Authors	Referring to	Publisher	Date
	Audio	Integrais III,		integrais iii João Pedro Oliveira
	Scores	João Pedro Oliveira / Integrais III  Integrais III		integrais iii João Pedro Oliveira	Centro de Informação da Música Portuguesa	2008 1986