  While examples of Ramanujan-type congruences are amply available via their
relation to Hecke operators, it remains unclear which of them should be
considered of combinatorial origin and which of them are mere artifacts of the
connection with modular forms. Ranks and generalized ranks have been proposed
as a tool to discern this question. We formalize this idea as "explainable
Ramanujan-type congruences" with reference to Jacobi forms with singularities
at torsion points, and then associated with them subspaces in a specific
complex representation of the modular group. The resulting representation
theoretic perspective allows us to prove that explainable Ramanujan-type
congruences occur on square-classes $M \mathbb{Z} + u^2 \beta$ of arithmetic
progressions.
