I’ve come up with new terms for two of the three kinds of rhyme in my poetics. One is Chyme-Rhyme for standard rhyme (e.g., “bat/cat”). The other is Rhyle-Rhyme for the kind of rhyme I’ve called various names, “Backward Rhyme,” being the most frequent (e.g. “bat/badge”). My name for the third kind of rhyme in my poetics is Rim-Rhyme, the perfect name coined many years ago for it (e.g. “bat/bet”).
The new names follow the logic of “Rim-Rhyme” by demonstrating the sound of the kind of rhyme they name, but not the construction, as “Rim-Rhyme” does. The “Chyme” of regular rhyme seems fitting, too. As for “Rhyle,” well, it’s a kind of rhyme that riles traditionalists, and I couldn’t come up with a better “rhy-consonant” word to use.
I should haven’t to explain why I consider all three of my kinds of rhyme valid rhymes, but while some accept rim-rhyme because of Wilfred Owen, I think no one has accepted rhyle-rhyme. But it seems sensible to call such a combination a rhyme rather than an alliteration/assonance. And it seems sensible to call any pair or great number of unidentical syllables sharing two sounds to be rhymes.