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 "ya dig".
Words that have a pure rhyme on their last syllable only.
Honig
    Konig
      shindig
        Kindig
          Hennig
            Pfennig

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              Words that "almost" rhyme on the vowel-based rhyme sound of the stressed syllable like: be/eat or maybe/shapely.
              Honig
                Konig
                  There are no near rhymes for "ya dig".
                  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 "ya dig".