Is there a term for the sort of rhyme or near-rhyme that subsists between such words as repose and propose? For these seem to me less truly to rhyme than, say, vision and decision. In the latter pair, the matching of sound begins with the vowel of the last stressed syllable, but in the former, the preceding consonants match as well, leading to a kind of over-rhyme.
Rhyme, strictly speaking, is regarded as extending to the last stressed vowel and any sounds following it.
There is also an intermediate sort of case, such as grate and demonstrate, where the r sounds immediately preceding the last stressed vowel of each do match but they are parts of different consonant clusters.
I had thought the term was degenerate rhyme, but a Google search for that turned up only Isaac Watts’s line about Milton as a “noble hater of degenerate rhyme.” (Apparently Watts’s acquaintance with Milton’s poetry did not include “L’Allegro,” “Il Penseroso,” or any of the sonnets.)
I did check Does a word rhyme with itself? on this board and it was no real help.