Recent research has described strong effects of prior context on the perception of ambiguous pitch shifts of Shepard tones [Chambers, Akram, Adam, Pelofi, Sahani, Shamma, and Pressnitzer (2017). Nat. Commun. 8, 15027]. Here, similar effects are demonstrated for brightness shift judgments of harmonic complexes with cyclic spectral envelope components and fixed fundamental frequency. It is shown that frequency shifts of the envelopes are perceived as systematic shifts of brightness. Analogous to the work of Chambers et al., the perceptual ambiguity of half-octave shifts resolves with the presentation of prior context tones. These results constitute a context effect for the perceptual processing of spectral envelope shifts and indicate so-far unknown commonalities between pitch and timbre perception.