Works

Instrumentation (detailed)

Soloists

Clarinet

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 II	Premiere	1987/Jan/01			New York	United States of America		Notes
Integrais II	Performance	1987/Jan/01		Portuguese Cultural Centre	Paris	France	Buenos Aires Contemporary Group	Notes
Integrais II	Performance	2008/Jul/10		José Rodrigues Foundation	Porto	Portugal	Nuno Pinto (clarinet)	Notes
Integrais II	Performance	2008/Jun/19		Manuel Correia Botelho Foundation	Vila Real	Portugal	Nuno Pinto (clarinet)	Notes

Documents
	Type (+ sub-type)	Cover/edition title Document title	Authors	Referring to	Publisher	Date
	Audio	ON CLARINET Carlos Silva | Ensemble DME Obras de João Pedro Oliveira | Works by João Pedro Oliveira  Integrais II		integrais ii João Pedro Oliveira	DME	2018 2018
	Audio	Nuno Pinto Clarinete Solo  Integrais II (1986 - rev. 1993)		integrais ii João Pedro Oliveira	Miso Records	2010
	Audio	Integrais II,		integrais ii João Pedro Oliveira
	Scores	Integrais II  Integrais II		integrais ii João Pedro Oliveira	Sociedade Portuguesa de Autores / Oficina Musical	1994
	Scores	João Pedro Oliveira / Integrais II  Integrais II,		integrais ii João Pedro Oliveira	Centro de Informação da Música Portuguesa	2010 1993
	Texts	Universidade de Aveiro Departamento de Comunicação e Arte 2006 Vítor Joaquim de Sousa Pereira Estudo analítico e interpretativo de três peças portuguesas para clarinete solo  Integrais II - João Pedro Oliveira	Vítor J. Pereira	integrais ii João Pedro Oliveira	Universidade de Aveiro	2006