Madison sits next to 3 phonetic neighbors — Addison, Mason, and Jackson are the closest matches by sound. Most share Madison's English-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"son of Matthew"
"son of Hans"
"occupational name for a blacksmith or farmer"
"white, pure"
"carp fish (symbolic)"
"well-born, of noble birth"
"the smallest unit of matter"
"companion, bear friend"
"building material, beam"
"strong fighter (from bar + hard)"
"army ruler, commander"
"steward, estate manager"
"God has remembered"
"swift, quick"
"shield wolf"
"slender, narrow"
"town in the forest (alternate etymology)"
"archway, structural arch"
"bright-headed"
Similar sound: These names share phonetic patterns with Madison — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have English surname origins, giving them the same cultural heritage as Madison.
Rhythm: Madison is a 3-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.