  This article introduces an algebra of functions in one variable $c$ defined
by iterated integrals of two specific differential forms depending on $c$,
where the product is the shuffle product. This algebra can be seen as a common
deformation of multiple zeta values and of Kaneko-Tsumura's recent multiple
$T$-values. The first few graded dimensions, assuming that a grading by the
weight does hold, are computed.
