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We present an account of dual pairs and the Kummer shapes for $n:m$resonances that provides an alternative to Holm and Vizman's work. Theadvantages of our point of view are that the associated Poisson structure on$\mathfrak{su}(2)^{*}$ is the standard $(+)$-Lie--Poisson bracket independentof the values of $(n,m)$ as well as that the Kummer shape is regularized tobecome a sphere without any pinches regardless of the values of $(n,m)$. Asimilar result holds for $n:-m$ resonance with a paraboloid and$\mathfrak{su}(1,1)^{*}$. The result also has a straightforward generalizationto multidimensional resonances as well.

Dual Pairs and Regularization of Kummer Shapes in Resonances