Eizen sits next to 4 phonetic neighbors — Eisen, Aizen, and Eyzen are the closest matches by sound. Most share Eizen's German-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"Iron; the metal symbolizing strength and endurance"
"connected to Silvanus, god of forests"
"altar"
"superior, of the highest quality"
"gathering place, pool"
"borrowed, lent"
"one who hunts with birds (falconer)"
"peaceful ruler"
"old, wise elder"
"beloved"
"virtuous, worthy, talented"
"modern American invention with Latin roots"
"prosperous landowner"
"he who descended, to descend"
"God's inspiration"
"the righteous one"
"God will add, God increases"
"God is the giver"
"blessed, fortunate one"
"archer (from the myth of Arash Kamangir)"
"ardor, enthusiasm (from Welsh Rhys)"
Similar sound: These names share phonetic patterns with Eizen — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have German origins, giving them the same cultural heritage as Eizen.
Rhythm: Eizen is a 2-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.