[en] The dependence on the properties of the effective interaction of the energies of and excitation strengths to magnetic dipole states in open shell nuclei is studied. In particular the single j-shell for ⁴⁸Ti is used as an example. In this case there are two 1⁺ states with isospin T=2 and one with isospin T=3. The conditions for having a strong low-lying collective 1⁺ state are examined. Focus is also given on the excitation strength to the analog T=3 state since this is of relevance also to β⁺ Gamow-Teller reactions and to double beta decay. It is found that in the rotational limit there is no strength to the T=3 state and there is an overly strong low-lying 1⁺ T=2 state. This is almost also true for quadrupole-quadrupole interaction. At the other extreme, as shown by Halse, with a pairing interaction all the strength goes to the T=3 state. Other interactions considered are pairing plus quadrupole, spin-dependent delta and Kuo-Brown bare and renormalized, and matrix elements taken from the spectrum of ⁴²Sc. It is found that the β⁺ strength can be reduced either by making the two-body J=2T=1 matrix element of J=1 T=0 matrix element more attractive, just as was shown by others in heavier nuclei. However such parameter changes have effects on other properties of the 1⁺ spectrum which can serve as indicators as to whether or not these changes are justified. (orig.)