  We define a class of finite integer sequences called "integer mixtures",
which are generalizations of partitions, compositions and unimodal sequences.
We introduce unusual forms of $q$-series that combine generating functions for
partitions and compositions, to prove generating functions for newly defined
types of integer mixtures like multimodal sequences and spliced compositions.
We prove compositions with $k$-colored splices are in bijection with the
$k$-compositions recently studied by Hopkins-Ouvry.
