Originally Posted by
kandaurov
When browsing for 'near rhyme', I couldn't find much more than this:
'Near Rhyme: also called approximate rhyme, slant rhyme, off rhyme, imperfect rhyme or half rhyme, a rhyme in which the sounds are similar, but not exact, as in home and come or close and lose. Most near rhymes are types of consonance.'
Because it starts with 'A', and it is in itself a near-'near rhyme', 'anarhyme' caught my eye:
'Anarhyme is an interesting idea which has not yet gained much favour. Here, the "rhyming" lines end with the same three consonants, though not necessarily in the same order e.g. humanity and not me, or honest and sit on. Perhaps the inventor of anarhyme got the idea from languages like Turkish and Arabic, where (as I understand it) the root of a word consists of three consonants, in no particular order - e.g. "Muslim" and "Islam" come from a common root.'
Hope it is helpful somehow...