Words that have identical vowel-based rhyme sounds in the tonic syllable. Moreover, that tonic syllable must start with a different consonantal sound.
There are no pure rhymes for "n honestly".
Words that have a pure rhyme on their last syllable only.
Genesee
    Hennessey
      Hennessy
        mentally
          accidentally
            continentally
              fundamentally
                incrementally
                  monumentally
                    monumentally
                      temperamentally
                        temperamentally
                          coincidentally
                            developmentally
                              environmentally
                                experimentally
                                  Fennelly
                                    Kennelly
                                      horrendously
                                        tremendously

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                                          Words that "almost" rhyme on the vowel-based rhyme sound of the stressed syllable like: be/eat or maybe/shapely.
                                          Genesee
                                            Hennessey
                                              Hennessy
                                                mentally
                                                  accidentally
                                                    continentally
                                                      fundamentally
                                                        incrementally
                                                          monumentally
                                                            monumentally
                                                              temperamentally
                                                                temperamentally
                                                                  coincidentally
                                                                    developmentally
                                                                      environmentally
                                                                        experimentally
                                                                          Fennelly
                                                                            Kennelly
                                                                              horrendously
                                                                                tremendously

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                                                                                  Rhymes made up of more than one word. For instance, "jealous" and "tell us" or "shaky" and "make me."