See: complement
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As Breig stresses in his fine general preface, Schutz's own description of these works as scored for eight voices obscures their remarkable diversity: each concerto, indeed, calls for eight obbligato parts--either six voices and two instruments or five voices and three instruments--but the complementum invariably adds considerable depth and musical interest, and is all but required for the full effect of no.
Differing only in minor details from the published versions, these cannot have predated it by long (see Clytus Gottwald, "Neue Forschungen zu den Kasseler Schutz-Handschriften," Schutz-Jahrbuch 12 [1990]: 31-42), and thus did not warrant separate transcription by Breig; but he has favored the manuscript for the viola IV part from the complementum of no.