  In 2017, Igusa and Todorov gave a bijection between signed exceptional
sequences and ordered partial clusters. In this paper, we show that every term
in an exceptional sequence is either relatively projective or relatively
injective or both and we refine this bijection to one between projectively
signed exceptional sequences and ordered partial positive clusters by assigning
signs to objects that are not relatively injective. We also give a
characterization of relatively projective/injective objects in terms of
supports of the objects in the exceptional sequence.
