Before revision:  We propose a slight modification of his voting rule, the modified Frege method, that remedies these shortcomings. We analyse both methods from the perspective of modern social choice and apportionment theory, and can show that they are novel contributions with noteworthy proportionality properties over time .
After revision:  We propose a slight modification of the original voting method even stronger forms of proportionality can be achieved. This modified version of Frege's method can also be seen as providing a novel solution to the apportionment problem. We prove that it is distinct from all of the best-known apportionment methods, while it still possesses noteworthy proportionality properties over time .