Half rhyme
Half rhyme or slant rhyme, sometimes called near-rhyme or lazy rhyme, is a type of rhyme formed by words with similar but not identical sounds. In most instances, either the vowel segments are different while the consonants are identical, or vice versa. This type of rhyme is also called approximate rhyme, inexact rhyme, imperfect rhyme (in contrast to perfect rhyme), off rhyme, analyzed rhyme, or suspended rhyme.
Use in hip hop/rap
Half rhyme is often used, along with assonance, in rap music. This can be used to avoid rhyming clichés (e.g. rhyming "knowledge" with "college") or obvious rhymes, and gives the writer greater freedom and flexibility in forming lines of verse. Additionally, some words have no perfect rhyme in English, necessitating the use of slant rhyme. The use of half rhyme may also enable the construction of longer multisyllabic rhymes than otherwise possible.
In the following lines from the song "N.Y. State of Mind" by rapper Nas, the author uses half rhyme in a complex cross rhyme pattern: