Ayzen sits next to 4 phonetic neighbors — Aysen, Aizen, and Jason are the closest matches by sound. Most share Ayzen's Arabic-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"moon-blessed, divine"
"the celestial vault"
"reward, recompense, prize for valor"
"free person"
"little great one"
"divinely favored, consecrated"
"raven, crow"
"priceless one, beyond praise"
"fortunate, consecrated"
"thorny bush, briar plant"
"ram (male sheep)"
"powerful leader"
"from Alba (the white city)"
"Noble ruler; wise and powerful leader. A variant of the Old German ..."
"lion-like (from Llewelyn)"
"wind, breeze"
Similar sound: These names share phonetic patterns with Ayzen — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Arabic/Turkish origins, giving them the same cultural heritage as Ayzen.
Rhythm: Ayzen is a 2-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.