Edmund sits next to 4 phonetic neighbors — Edward, Edmond, and Edwin are the closest matches by sound. Most share Edmund's English-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"prosperity protector"
"narrow water"
"cart maker, transporter"
"song sung to a stringed instrument"
"sea"
"vigilant, watchful"
"strength, permanence"
"agreement to stop fighting, temporary peace"
"village of the cross, farm by the cross"
"west wind"
"yellow-haired, blonde"
"faithful, loyal, trustworthy"
"modern invented name"
"spear warrior"
"God is gracious (John root)"
"son of the gray-haired one"
"cross"
"God exists, gift"
"cheerful, optimistic"
"speckled, freckled"
Similar sound: These names share phonetic patterns with Edmund — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Old English origins, giving them the same cultural heritage as Edmund.
Rhythm: Edmund is a 2-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.