I think the term you are looking for is melodic sequence (similar to, but distinct from harmonic sequence) where some melodic unit is transposed and repeated...
If you are studying scale patterns and sequence, this may interest you. You can take one beat permutations of the line...
...deriving these four elementary figures (notice the 1st, 2nd, and 4th decorate the interval of a third and the 3rd figure decorates a single tone)...
...each of which can be treated sequentially...
Use those kinds of figures (and their inversions) with repetition or melodic sequence, with simple quarter and whole notes - with or without dotted values - and it gives you endless ways to elaborate a basic harmonic framework.