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 "Rachel's".
Words that have a pure rhyme on their last syllable only.
barrels
    carol's
      carols
        perils
          imperils
            Carroll's
              Merrill's
                angels
                  archangels
                    pebbles
                      rebel's
                        rebels

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                          Words that "almost" rhyme on the vowel-based rhyme sound of the stressed syllable like: be/eat or maybe/shapely.
                          angels
                            archangels
                              betrayals
                                portrayals
                                  cradles
                                    ladles

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                                      Rhymes made up of more than one word. For instance, "jealous" and "tell us" or "shaky" and "make me."
                                      There are no mosaic rhymes for "Rachel's".